---------------------- Hermann-Mauguin symbol: P 1 international table number: 1 Hall symbol: P 1 primitive Hall symbol: P 1 lattice type: -P: centrosymmetric primitive rotation term 1 input code: 1; primitive code: 1 order: 1 operator: x,y,z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (1): x,y,z ---------------------- Hermann-Mauguin symbol: P -1 international table number: 2 Hall symbol: -P 1 primitive Hall symbol: P 1 -1 lattice type: P: primitive rotation term 1 input code: 1; primitive code: 1 order: 1 operator: x,y,z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z -x,-y,-z ---------------------- Hermann-Mauguin symbol: P 1 2 1 international table number: 3:b Hall symbol: P 2y primitive Hall symbol: P 2y lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2y; primitive code: 2y order: 2; axisType: y operator: -x,y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z -x,y,-z ---------------------- Hermann-Mauguin symbol: P 2 international table number: 3:b Hall symbol: P 2y primitive Hall symbol: P 2y lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2y; primitive code: 2y order: 2; axisType: y operator: -x,y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z -x,y,-z ---------------------- Hermann-Mauguin symbol: P 1 1 2 international table number: 3:c Hall symbol: P 2 primitive Hall symbol: P 2z lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z -x,-y,z ---------------------- Hermann-Mauguin symbol: P 2 1 1 international table number: 3:a Hall symbol: P 2x primitive Hall symbol: P 2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2x; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z x,-y,-z ---------------------- Hermann-Mauguin symbol: P 1 21 1 international table number: 4:b Hall symbol: P 2yb primitive Hall symbol: P 2yb lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2yb; primitive code: 2yb order: 2; axisType: y; translation: b operator: -x,y+1/2,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z -x,y+1/2,-z ---------------------- Hermann-Mauguin symbol: P 1 21 1 international table number: 4:b Hall symbol: P 2y1 primitive Hall symbol: P 2y1 lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2y1; primitive code: 2y1 order: 2; axisType: y; translation: 1 operator: -x,y+1/2,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z -x,y+1/2,-z ---------------------- Hermann-Mauguin symbol: P 21 international table number: 4:b Hall symbol: P 2yb primitive Hall symbol: P 2yb lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2yb; primitive code: 2yb order: 2; axisType: y; translation: b operator: -x,y+1/2,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z -x,y+1/2,-z ---------------------- Hermann-Mauguin symbol: P 1 1 21 international table number: 4:c Hall symbol: P 2c primitive Hall symbol: P 2zc lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z -x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 1 1 21 international table number: 4:c Hall symbol: P 21 primitive Hall symbol: P 2z1 lattice type: -P: centrosymmetric primitive rotation term 1 input code: 21; primitive code: 2z1 order: 2; axisType: z; translation: 1 operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z -x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 21 1 1 international table number: 4:a Hall symbol: P 2xa primitive Hall symbol: P 2xa lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2xa; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z x+1/2,-y,-z ---------------------- Hermann-Mauguin symbol: P 21 1 1 international table number: 4:a Hall symbol: P 2x1 primitive Hall symbol: P 2x1 lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2x1; primitive code: 2x1 order: 2; axisType: x; translation: 1 operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z x+1/2,-y,-z ---------------------- Hermann-Mauguin symbol: C 1 2 1 international table number: 5:b1 Hall symbol: C 2y primitive Hall symbol: P 2y 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: 2y; primitive code: 2y order: 2; axisType: y operator: -x,y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,y,-z x+1/2,y+1/2,z -x+1/2,y+1/2,-z ---------------------- Hermann-Mauguin symbol: C 2 international table number: 5:b1 Hall symbol: C 2y primitive Hall symbol: P 2y 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: 2y; primitive code: 2y order: 2; axisType: y operator: -x,y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,y,-z x+1/2,y+1/2,z -x+1/2,y+1/2,-z ---------------------- Hermann-Mauguin symbol: A 1 2 1 international table number: 5:b2 Hall symbol: A 2y primitive Hall symbol: P 2y 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: 2y; primitive code: 2y order: 2; axisType: y operator: -x,y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,y,-z x,y+1/2,z+1/2 -x,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: I 1 2 1 international table number: 5:b3 Hall symbol: I 2y primitive Hall symbol: P 2y 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 2y; primitive code: 2y order: 2; axisType: y operator: -x,y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,y,-z x+1/2,y+1/2,z+1/2 -x+1/2,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: A 1 1 2 international table number: 5:c1 Hall symbol: A 2 primitive Hall symbol: P 2z 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: B 1 1 2 international table number: 5:c2 Hall symbol: B 2 primitive Hall symbol: P 2z 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: I 1 1 2 international table number: 5:c3 Hall symbol: I 2 primitive Hall symbol: P 2z 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z x+1/2,y+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: B 2 1 1 international table number: 5:a1 Hall symbol: B 2x primitive Hall symbol: P 2x 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: 2x; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,-y,-z x+1/2,y,z+1/2 x+1/2,-y,-z+1/2 ---------------------- Hermann-Mauguin symbol: C 2 1 1 international table number: 5:a2 Hall symbol: C 2x primitive Hall symbol: P 2x 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: 2x; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,-y,-z x+1/2,y+1/2,z x+1/2,-y+1/2,-z ---------------------- Hermann-Mauguin symbol: I 2 1 1 international table number: 5:a3 Hall symbol: I 2x primitive Hall symbol: P 2x 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 2x; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,-y,-z x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: P 1 m 1 international table number: 6:b Hall symbol: P -2y primitive Hall symbol: P -2y lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2y; primitive code: -2y order: 2 (improper axis); axisType: y operator: x,-y,z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z x,-y,z ---------------------- Hermann-Mauguin symbol: P m international table number: 6:b Hall symbol: P -2y primitive Hall symbol: P -2y lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2y; primitive code: -2y order: 2 (improper axis); axisType: y operator: x,-y,z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z x,-y,z ---------------------- Hermann-Mauguin symbol: P 1 1 m international table number: 6:c Hall symbol: P -2 primitive Hall symbol: P -2z lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z x,y,-z ---------------------- Hermann-Mauguin symbol: P m 1 1 international table number: 6:a Hall symbol: P -2x primitive Hall symbol: P -2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2x; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z -x,y,z ---------------------- Hermann-Mauguin symbol: P 1 c 1 international table number: 7:b1 Hall symbol: P -2yc primitive Hall symbol: P -2yc lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2yc; primitive code: -2yc order: 2 (improper axis); axisType: y; translation: c operator: x,-y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P c international table number: 7:b1 Hall symbol: P -2yc primitive Hall symbol: P -2yc lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2yc; primitive code: -2yc order: 2 (improper axis); axisType: y; translation: c operator: x,-y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 1 n 1 international table number: 7:b2 Hall symbol: P -2yac primitive Hall symbol: P -2yac lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2yac; primitive code: -2yac order: 2 (improper axis); axisType: y; translation: ac operator: x+1/2,-y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P n international table number: 7:b2 Hall symbol: P -2yac primitive Hall symbol: P -2yac lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2yac; primitive code: -2yac order: 2 (improper axis); axisType: y; translation: ac operator: x+1/2,-y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 1 a 1 international table number: 7:b3 Hall symbol: P -2ya primitive Hall symbol: P -2ya lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2ya; primitive code: -2ya order: 2 (improper axis); axisType: y; translation: a operator: x+1/2,-y,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: P a international table number: 7:b3 Hall symbol: P -2ya primitive Hall symbol: P -2ya lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2ya; primitive code: -2ya order: 2 (improper axis); axisType: y; translation: a operator: x+1/2,-y,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: P 1 1 a international table number: 7:c1 Hall symbol: P -2a primitive Hall symbol: P -2za lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2a; primitive code: -2za order: 2 (improper axis); axisType: z; translation: a operator: x+1/2,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z x+1/2,y,-z ---------------------- Hermann-Mauguin symbol: P 1 1 n international table number: 7:c2 Hall symbol: P -2ab primitive Hall symbol: P -2zab lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2ab; primitive code: -2zab order: 2 (improper axis); axisType: z; translation: ab operator: x+1/2,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z x+1/2,y+1/2,-z ---------------------- Hermann-Mauguin symbol: P 1 1 b international table number: 7:c3 Hall symbol: P -2b primitive Hall symbol: P -2zb lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2b; primitive code: -2zb order: 2 (improper axis); axisType: z; translation: b operator: x,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z x,y+1/2,-z ---------------------- Hermann-Mauguin symbol: P b 1 1 international table number: 7:a1 Hall symbol: P -2xb primitive Hall symbol: P -2xb lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2xb; primitive code: -2xb order: 2 (improper axis); axisType: x; translation: b operator: -x,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z -x,y+1/2,z ---------------------- Hermann-Mauguin symbol: P n 1 1 international table number: 7:a2 Hall symbol: P -2xbc primitive Hall symbol: P -2xbc lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2xbc; primitive code: -2xbc order: 2 (improper axis); axisType: x; translation: bc operator: -x,y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z -x,y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P c 1 1 international table number: 7:a3 Hall symbol: P -2xc primitive Hall symbol: P -2xc lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2xc; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (2): x,y,z -x,y,z+1/2 ---------------------- Hermann-Mauguin symbol: C 1 m 1 international table number: 8:b1 Hall symbol: C -2y primitive Hall symbol: P -2y 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: -2y; primitive code: -2y order: 2 (improper axis); axisType: y operator: x,-y,z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,-y,z x+1/2,y+1/2,z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: C m international table number: 8:b1 Hall symbol: C -2y primitive Hall symbol: P -2y 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: -2y; primitive code: -2y order: 2 (improper axis); axisType: y operator: x,-y,z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,-y,z x+1/2,y+1/2,z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: A 1 m 1 international table number: 8:b2 Hall symbol: A -2y primitive Hall symbol: P -2y 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: -2y; primitive code: -2y order: 2 (improper axis); axisType: y operator: x,-y,z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,-y,z x,y+1/2,z+1/2 x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: I 1 m 1 international table number: 8:b3 Hall symbol: I -2y primitive Hall symbol: P -2y 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -2y; primitive code: -2y order: 2 (improper axis); axisType: y operator: x,-y,z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,-y,z x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: I m international table number: 8:b3 Hall symbol: I -2y primitive Hall symbol: P -2y 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -2y; primitive code: -2y order: 2 (improper axis); axisType: y operator: x,-y,z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,-y,z x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: A 1 1 m international table number: 8:c1 Hall symbol: A -2 primitive Hall symbol: P -2z 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y,-z x,y+1/2,z+1/2 x,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: B 1 1 m international table number: 8:c2 Hall symbol: B -2 primitive Hall symbol: P -2z 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y,-z x+1/2,y,z+1/2 x+1/2,y,-z+1/2 ---------------------- Hermann-Mauguin symbol: I 1 1 m international table number: 8:c3 Hall symbol: I -2 primitive Hall symbol: P -2z 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y,-z x+1/2,y+1/2,z+1/2 x+1/2,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: B m 1 1 international table number: 8:a1 Hall symbol: B -2x primitive Hall symbol: P -2x 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: -2x; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,y,z x+1/2,y,z+1/2 -x+1/2,y,z+1/2 ---------------------- Hermann-Mauguin symbol: C m 1 1 international table number: 8:a2 Hall symbol: C -2x primitive Hall symbol: P -2x 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: -2x; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,y,z x+1/2,y+1/2,z -x+1/2,y+1/2,z ---------------------- Hermann-Mauguin symbol: I m 1 1 international table number: 8:a3 Hall symbol: I -2x primitive Hall symbol: P -2x 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -2x; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,y,z x+1/2,y+1/2,z+1/2 -x+1/2,y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: C 1 c 1 international table number: 9:b1 Hall symbol: C -2yc primitive Hall symbol: P -2yc 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: -2yc; primitive code: -2yc order: 2 (improper axis); axisType: y; translation: c operator: x,-y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,-y,z+1/2 x+1/2,y+1/2,z x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: C c international table number: 9:b1 Hall symbol: C -2yc primitive Hall symbol: P -2yc 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: -2yc; primitive code: -2yc order: 2 (improper axis); axisType: y; translation: c operator: x,-y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,-y,z+1/2 x+1/2,y+1/2,z x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: A 1 n 1 international table number: 9:b2 Hall symbol: A -2yab primitive Hall symbol: P -2yab 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: -2yab; primitive code: -2yab order: 2 (improper axis); axisType: y; translation: ab operator: x+1/2,-y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,-y+1/2,z x,y+1/2,z+1/2 x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: I 1 a 1 international table number: 9:b3 Hall symbol: I -2ya primitive Hall symbol: P -2ya 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -2ya; primitive code: -2ya order: 2 (improper axis); axisType: y; translation: a operator: x+1/2,-y,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,-y,z x+1/2,y+1/2,z+1/2 x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: A 1 a 1 international table number: 9:-b1 Hall symbol: A -2ya primitive Hall symbol: P -2ya 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: -2ya; primitive code: -2ya order: 2 (improper axis); axisType: y; translation: a operator: x+1/2,-y,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,-y,z x,y+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: C 1 n 1 international table number: 9:-b2 Hall symbol: C -2yac primitive Hall symbol: P -2yac 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: -2yac; primitive code: -2yac order: 2 (improper axis); axisType: y; translation: ac operator: x+1/2,-y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,-y,z+1/2 x+1/2,y+1/2,z x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: I 1 c 1 international table number: 9:-b3 Hall symbol: I -2yc primitive Hall symbol: P -2yc 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -2yc; primitive code: -2yc order: 2 (improper axis); axisType: y; translation: c operator: x,-y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,-y,z+1/2 x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: A 1 1 a international table number: 9:c1 Hall symbol: A -2a primitive Hall symbol: P -2za 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: -2a; primitive code: -2za order: 2 (improper axis); axisType: z; translation: a operator: x+1/2,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y,-z x,y+1/2,z+1/2 x+1/2,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: B 1 1 n international table number: 9:c2 Hall symbol: B -2ab primitive Hall symbol: P -2zab 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: -2ab; primitive code: -2zab order: 2 (improper axis); axisType: z; translation: ab operator: x+1/2,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y+1/2,-z x+1/2,y,z+1/2 x,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: I 1 1 b international table number: 9:c3 Hall symbol: I -2b primitive Hall symbol: P -2zb 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -2b; primitive code: -2zb order: 2 (improper axis); axisType: z; translation: b operator: x,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y+1/2,-z x+1/2,y+1/2,z+1/2 x+1/2,y,-z+1/2 ---------------------- Hermann-Mauguin symbol: B 1 1 b international table number: 9:-c1 Hall symbol: B -2b primitive Hall symbol: P -2zb 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: -2b; primitive code: -2zb order: 2 (improper axis); axisType: z; translation: b operator: x,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y+1/2,-z x+1/2,y,z+1/2 x+1/2,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: A 1 1 n international table number: 9:-c2 Hall symbol: A -2ab primitive Hall symbol: P -2zab 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: -2ab; primitive code: -2zab order: 2 (improper axis); axisType: z; translation: ab operator: x+1/2,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y+1/2,-z x,y+1/2,z+1/2 x+1/2,y,-z+1/2 ---------------------- Hermann-Mauguin symbol: I 1 1 a international table number: 9:-c3 Hall symbol: I -2a primitive Hall symbol: P -2za 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -2a; primitive code: -2za order: 2 (improper axis); axisType: z; translation: a operator: x+1/2,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y,-z x+1/2,y+1/2,z+1/2 x,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: B b 1 1 international table number: 9:a1 Hall symbol: B -2xb primitive Hall symbol: P -2xb 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: -2xb; primitive code: -2xb order: 2 (improper axis); axisType: x; translation: b operator: -x,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,y+1/2,z x+1/2,y,z+1/2 -x+1/2,y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: C n 1 1 international table number: 9:a2 Hall symbol: C -2xac primitive Hall symbol: P -2xac 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: -2xac; primitive code: -2xac order: 2 (improper axis); axisType: x; translation: ac operator: -x+1/2,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x+1/2,y,z+1/2 x+1/2,y+1/2,z -x,y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: I c 1 1 international table number: 9:a3 Hall symbol: I -2xc primitive Hall symbol: P -2xc 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -2xc; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,y,z+1/2 x+1/2,y+1/2,z+1/2 -x+1/2,y+1/2,z ---------------------- Hermann-Mauguin symbol: C c 1 1 international table number: 9:-a1 Hall symbol: C -2xc primitive Hall symbol: P -2xc 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: -2xc; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,y,z+1/2 x+1/2,y+1/2,z -x+1/2,y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: B n 1 1 international table number: 9:-a2 Hall symbol: B -2xab primitive Hall symbol: P -2xab 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: -2xab; primitive code: -2xab order: 2 (improper axis); axisType: x; translation: ab operator: -x+1/2,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x+1/2,y+1/2,z x+1/2,y,z+1/2 -x,y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: I b 1 1 international table number: 9:-a3 Hall symbol: I -2xb primitive Hall symbol: P -2xb 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -2xb; primitive code: -2xb order: 2 (improper axis); axisType: x; translation: b operator: -x,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,y+1/2,z x+1/2,y+1/2,z+1/2 -x+1/2,y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 1 2/m 1 international table number: 10:b Hall symbol: -P 2y primitive Hall symbol: P 2y -1 lattice type: P: primitive rotation term 1 input code: 2y; primitive code: 2y order: 2; axisType: y operator: -x,y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,y,-z -x,-y,-z x,-y,z ---------------------- Hermann-Mauguin symbol: P 2/m international table number: 10:b Hall symbol: -P 2y primitive Hall symbol: P 2y -1 lattice type: P: primitive rotation term 1 input code: 2y; primitive code: 2y order: 2; axisType: y operator: -x,y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,y,-z -x,-y,-z x,-y,z ---------------------- Hermann-Mauguin symbol: P 1 1 2/m international table number: 10:c Hall symbol: -P 2 primitive Hall symbol: P 2z -1 lattice type: P: primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z -x,-y,-z x,y,-z ---------------------- Hermann-Mauguin symbol: P 2/m 1 1 international table number: 10:a Hall symbol: -P 2x primitive Hall symbol: P 2x -1 lattice type: P: primitive rotation term 1 input code: 2x; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,-y,-z -x,-y,-z -x,y,z ---------------------- Hermann-Mauguin symbol: P 1 21/m 1 international table number: 11:b Hall symbol: -P 2yb primitive Hall symbol: P 2yb -1 lattice type: P: primitive rotation term 1 input code: 2yb; primitive code: 2yb order: 2; axisType: y; translation: b operator: -x,y+1/2,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,y+1/2,-z -x,-y,-z x,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P 1 21/m 1 international table number: 11:b Hall symbol: -P 2y1 primitive Hall symbol: P 2y1 -1 lattice type: P: primitive rotation term 1 input code: 2y1; primitive code: 2y1 order: 2; axisType: y; translation: 1 operator: -x,y+1/2,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,y+1/2,-z -x,-y,-z x,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P 21/m international table number: 11:b Hall symbol: -P 2yb primitive Hall symbol: P 2yb -1 lattice type: P: primitive rotation term 1 input code: 2yb; primitive code: 2yb order: 2; axisType: y; translation: b operator: -x,y+1/2,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,y+1/2,-z -x,-y,-z x,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P 1 1 21/m international table number: 11:c Hall symbol: -P 2c primitive Hall symbol: P 2zc -1 lattice type: P: primitive rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z+1/2 -x,-y,-z x,y,-z+1/2 ---------------------- Hermann-Mauguin symbol: P 1 1 21/m international table number: 11:c Hall symbol: -P 21 primitive Hall symbol: P 2z1 -1 lattice type: P: primitive rotation term 1 input code: 21; primitive code: 2z1 order: 2; axisType: z; translation: 1 operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z+1/2 -x,-y,-z x,y,-z+1/2 ---------------------- Hermann-Mauguin symbol: P 21/m 1 1 international table number: 11:a Hall symbol: -P 2xa primitive Hall symbol: P 2xa -1 lattice type: P: primitive rotation term 1 input code: 2xa; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,-y,-z -x,-y,-z -x+1/2,y,z ---------------------- Hermann-Mauguin symbol: P 21/m 1 1 international table number: 11:a Hall symbol: -P 2x1 primitive Hall symbol: P 2x1 -1 lattice type: P: primitive rotation term 1 input code: 2x1; primitive code: 2x1 order: 2; axisType: x; translation: 1 operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,-y,-z -x,-y,-z -x+1/2,y,z ---------------------- Hermann-Mauguin symbol: C 1 2/m 1 international table number: 12:b1 Hall symbol: -C 2y primitive Hall symbol: P 2y 1ab -1 lattice type: C: C-centered rotation term 1 input code: 2y; primitive code: 2y order: 2; axisType: y operator: -x,y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,y,-z x+1/2,y+1/2,z -x+1/2,y+1/2,-z -x+1/2,-y+1/2,-z x+1/2,-y+1/2,z -x,-y,-z x,-y,z ---------------------- Hermann-Mauguin symbol: C 2/m international table number: 12:b1 Hall symbol: -C 2y primitive Hall symbol: P 2y 1ab -1 lattice type: C: C-centered rotation term 1 input code: 2y; primitive code: 2y order: 2; axisType: y operator: -x,y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,y,-z x+1/2,y+1/2,z -x+1/2,y+1/2,-z -x+1/2,-y+1/2,-z x+1/2,-y+1/2,z -x,-y,-z x,-y,z ---------------------- Hermann-Mauguin symbol: A 1 2/m 1 international table number: 12:b2 Hall symbol: -A 2y primitive Hall symbol: P 2y 1bc -1 lattice type: A: A-centered rotation term 1 input code: 2y; primitive code: 2y order: 2; axisType: y operator: -x,y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,y,-z x,y+1/2,z+1/2 -x,y+1/2,-z+1/2 -x,-y+1/2,-z+1/2 x,-y+1/2,z+1/2 -x,-y,-z x,-y,z ---------------------- Hermann-Mauguin symbol: I 1 2/m 1 international table number: 12:b3 Hall symbol: -I 2y primitive Hall symbol: P 2y 1n -1 lattice type: I: body-centered rotation term 1 input code: 2y; primitive code: 2y order: 2; axisType: y operator: -x,y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,y,-z x+1/2,y+1/2,z+1/2 -x+1/2,y+1/2,-z+1/2 -x+1/2,-y+1/2,-z+1/2 x+1/2,-y+1/2,z+1/2 -x,-y,-z x,-y,z ---------------------- Hermann-Mauguin symbol: I 2/m international table number: 12:b3 Hall symbol: -I 2y primitive Hall symbol: P 2y 1n -1 lattice type: I: body-centered rotation term 1 input code: 2y; primitive code: 2y order: 2; axisType: y operator: -x,y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,y,-z x+1/2,y+1/2,z+1/2 -x+1/2,y+1/2,-z+1/2 -x+1/2,-y+1/2,-z+1/2 x+1/2,-y+1/2,z+1/2 -x,-y,-z x,-y,z ---------------------- Hermann-Mauguin symbol: A 1 1 2/m international table number: 12:c1 Hall symbol: -A 2 primitive Hall symbol: P 2z 1bc -1 lattice type: A: A-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 -x,-y+1/2,-z+1/2 x,y+1/2,-z+1/2 -x,-y,-z x,y,-z ---------------------- Hermann-Mauguin symbol: B 1 1 2/m international table number: 12:c2 Hall symbol: -B 2 primitive Hall symbol: P 2z 1ac -1 lattice type: B: B-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 -x+1/2,-y,-z+1/2 x+1/2,y,-z+1/2 -x,-y,-z x,y,-z ---------------------- Hermann-Mauguin symbol: I 1 1 2/m international table number: 12:c3 Hall symbol: -I 2 primitive Hall symbol: P 2z 1n -1 lattice type: I: body-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x+1/2,y+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 -x+1/2,-y+1/2,-z+1/2 x+1/2,y+1/2,-z+1/2 -x,-y,-z x,y,-z ---------------------- Hermann-Mauguin symbol: B 2/m 1 1 international table number: 12:a1 Hall symbol: -B 2x primitive Hall symbol: P 2x 1ac -1 lattice type: B: B-centered rotation term 1 input code: 2x; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,-y,-z x+1/2,y,z+1/2 x+1/2,-y,-z+1/2 -x+1/2,-y,-z+1/2 -x+1/2,y,z+1/2 -x,-y,-z -x,y,z ---------------------- Hermann-Mauguin symbol: C 2/m 1 1 international table number: 12:a2 Hall symbol: -C 2x primitive Hall symbol: P 2x 1ab -1 lattice type: C: C-centered rotation term 1 input code: 2x; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,-y,-z x+1/2,y+1/2,z x+1/2,-y+1/2,-z -x+1/2,-y+1/2,-z -x+1/2,y+1/2,z -x,-y,-z -x,y,z ---------------------- Hermann-Mauguin symbol: I 2/m 1 1 international table number: 12:a3 Hall symbol: -I 2x primitive Hall symbol: P 2x 1n -1 lattice type: I: body-centered rotation term 1 input code: 2x; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,-y,-z x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -x+1/2,-y+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 -x,-y,-z -x,y,z ---------------------- Hermann-Mauguin symbol: P 1 2/c 1 international table number: 13:b1 Hall symbol: -P 2yc primitive Hall symbol: P 2yc -1 lattice type: P: primitive rotation term 1 input code: 2yc; primitive code: 2yc order: 2; axisType: y; translation: c operator: -x,y,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,y,-z+1/2 -x,-y,-z x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 2/c international table number: 13:b1 Hall symbol: -P 2yc primitive Hall symbol: P 2yc -1 lattice type: P: primitive rotation term 1 input code: 2yc; primitive code: 2yc order: 2; axisType: y; translation: c operator: -x,y,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,y,-z+1/2 -x,-y,-z x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 1 2/n 1 international table number: 13:b2 Hall symbol: -P 2yac primitive Hall symbol: P 2yac -1 lattice type: P: primitive rotation term 1 input code: 2yac; primitive code: 2yac order: 2; axisType: y; translation: ac operator: -x+1/2,y,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x+1/2,y,-z+1/2 -x,-y,-z x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 2/n international table number: 13:b2 Hall symbol: -P 2yac primitive Hall symbol: P 2yac -1 lattice type: P: primitive rotation term 1 input code: 2yac; primitive code: 2yac order: 2; axisType: y; translation: ac operator: -x+1/2,y,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x+1/2,y,-z+1/2 -x,-y,-z x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 1 2/a 1 international table number: 13:b3 Hall symbol: -P 2ya primitive Hall symbol: P 2ya -1 lattice type: P: primitive rotation term 1 input code: 2ya; primitive code: 2ya order: 2; axisType: y; translation: a operator: -x+1/2,y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x+1/2,y,-z -x,-y,-z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: P 2/a international table number: 13:b3 Hall symbol: -P 2ya primitive Hall symbol: P 2ya -1 lattice type: P: primitive rotation term 1 input code: 2ya; primitive code: 2ya order: 2; axisType: y; translation: a operator: -x+1/2,y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x+1/2,y,-z -x,-y,-z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: P 1 1 2/a international table number: 13:c1 Hall symbol: -P 2a primitive Hall symbol: P 2za -1 lattice type: P: primitive rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x+1/2,-y,z -x,-y,-z x+1/2,y,-z ---------------------- Hermann-Mauguin symbol: P 1 1 2/n international table number: 13:c2 Hall symbol: -P 2ab primitive Hall symbol: P 2zab -1 lattice type: P: primitive rotation term 1 input code: 2ab; primitive code: 2zab order: 2; axisType: z; translation: ab operator: -x+1/2,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x+1/2,-y+1/2,z -x,-y,-z x+1/2,y+1/2,-z ---------------------- Hermann-Mauguin symbol: P 1 1 2/b international table number: 13:c3 Hall symbol: -P 2b primitive Hall symbol: P 2zb -1 lattice type: P: primitive rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y+1/2,z -x,-y,-z x,y+1/2,-z ---------------------- Hermann-Mauguin symbol: P 2/b 1 1 international table number: 13:a1 Hall symbol: -P 2xb primitive Hall symbol: P 2xb -1 lattice type: P: primitive rotation term 1 input code: 2xb; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,-y+1/2,-z -x,-y,-z -x,y+1/2,z ---------------------- Hermann-Mauguin symbol: P 2/n 1 1 international table number: 13:a2 Hall symbol: -P 2xbc primitive Hall symbol: P 2xbc -1 lattice type: P: primitive rotation term 1 input code: 2xbc; primitive code: 2xbc order: 2; axisType: x; translation: bc operator: x,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,-y+1/2,-z+1/2 -x,-y,-z -x,y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 2/c 1 1 international table number: 13:a3 Hall symbol: -P 2xc primitive Hall symbol: P 2xc -1 lattice type: P: primitive rotation term 1 input code: 2xc; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,-y,-z+1/2 -x,-y,-z -x,y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 1 21/c 1 international table number: 14:b1 Hall symbol: -P 2ybc primitive Hall symbol: P 2ybc -1 lattice type: P: primitive rotation term 1 input code: 2ybc; primitive code: 2ybc order: 2; axisType: y; translation: bc operator: -x,y+1/2,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,y+1/2,-z+1/2 -x,-y,-z x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 21/c international table number: 14:b1 Hall symbol: -P 2ybc primitive Hall symbol: P 2ybc -1 lattice type: P: primitive rotation term 1 input code: 2ybc; primitive code: 2ybc order: 2; axisType: y; translation: bc operator: -x,y+1/2,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,y+1/2,-z+1/2 -x,-y,-z x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 1 21/n 1 international table number: 14:b2 Hall symbol: -P 2yn primitive Hall symbol: P 2yn -1 lattice type: P: primitive rotation term 1 input code: 2yn; primitive code: 2yn order: 2; axisType: y; translation: n operator: -x+1/2,y+1/2,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x+1/2,y+1/2,-z+1/2 -x,-y,-z x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 21/n international table number: 14:b2 Hall symbol: -P 2yn primitive Hall symbol: P 2yn -1 lattice type: P: primitive rotation term 1 input code: 2yn; primitive code: 2yn order: 2; axisType: y; translation: n operator: -x+1/2,y+1/2,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x+1/2,y+1/2,-z+1/2 -x,-y,-z x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 1 21/a 1 international table number: 14:b3 Hall symbol: -P 2yab primitive Hall symbol: P 2yab -1 lattice type: P: primitive rotation term 1 input code: 2yab; primitive code: 2yab order: 2; axisType: y; translation: ab operator: -x+1/2,y+1/2,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x+1/2,y+1/2,-z -x,-y,-z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P 21/a international table number: 14:b3 Hall symbol: -P 2yab primitive Hall symbol: P 2yab -1 lattice type: P: primitive rotation term 1 input code: 2yab; primitive code: 2yab order: 2; axisType: y; translation: ab operator: -x+1/2,y+1/2,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x+1/2,y+1/2,-z -x,-y,-z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P 1 1 21/a international table number: 14:c1 Hall symbol: -P 2ac primitive Hall symbol: P 2zac -1 lattice type: P: primitive rotation term 1 input code: 2ac; primitive code: 2zac order: 2; axisType: z; translation: ac operator: -x+1/2,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x+1/2,-y,z+1/2 -x,-y,-z x+1/2,y,-z+1/2 ---------------------- Hermann-Mauguin symbol: P 1 1 21/n international table number: 14:c2 Hall symbol: -P 2n primitive Hall symbol: P 2zn -1 lattice type: P: primitive rotation term 1 input code: 2n; primitive code: 2zn order: 2; axisType: z; translation: n operator: -x+1/2,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x+1/2,-y+1/2,z+1/2 -x,-y,-z x+1/2,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: P 1 1 21/b international table number: 14:c3 Hall symbol: -P 2bc primitive Hall symbol: P 2zbc -1 lattice type: P: primitive rotation term 1 input code: 2bc; primitive code: 2zbc order: 2; axisType: z; translation: bc operator: -x,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y+1/2,z+1/2 -x,-y,-z x,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: P 21/b 1 1 international table number: 14:a1 Hall symbol: -P 2xab primitive Hall symbol: P 2xab -1 lattice type: P: primitive rotation term 1 input code: 2xab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,-y+1/2,-z -x,-y,-z -x+1/2,y+1/2,z ---------------------- Hermann-Mauguin symbol: P 21/n 1 1 international table number: 14:a2 Hall symbol: -P 2xn primitive Hall symbol: P 2xn -1 lattice type: P: primitive rotation term 1 input code: 2xn; primitive code: 2xn order: 2; axisType: x; translation: n operator: x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,-y+1/2,-z+1/2 -x,-y,-z -x+1/2,y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 21/c 1 1 international table number: 14:a3 Hall symbol: -P 2xac primitive Hall symbol: P 2xac -1 lattice type: P: primitive rotation term 1 input code: 2xac; primitive code: 2xac order: 2; axisType: x; translation: ac operator: x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,-y,-z+1/2 -x,-y,-z -x+1/2,y,z+1/2 ---------------------- Hermann-Mauguin symbol: C 1 2/c 1 international table number: 15:b1 Hall symbol: -C 2yc primitive Hall symbol: P 2yc 1ab -1 lattice type: C: C-centered rotation term 1 input code: 2yc; primitive code: 2yc order: 2; axisType: y; translation: c operator: -x,y,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,y,-z+1/2 x+1/2,y+1/2,z -x+1/2,y+1/2,-z+1/2 -x+1/2,-y+1/2,-z x+1/2,-y+1/2,z+1/2 -x,-y,-z x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: C 2/c international table number: 15:b1 Hall symbol: -C 2yc primitive Hall symbol: P 2yc 1ab -1 lattice type: C: C-centered rotation term 1 input code: 2yc; primitive code: 2yc order: 2; axisType: y; translation: c operator: -x,y,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,y,-z+1/2 x+1/2,y+1/2,z -x+1/2,y+1/2,-z+1/2 -x+1/2,-y+1/2,-z x+1/2,-y+1/2,z+1/2 -x,-y,-z x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: A 1 2/n 1 international table number: 15:b2 Hall symbol: -A 2yab primitive Hall symbol: P 2yab 1bc -1 lattice type: A: A-centered rotation term 1 input code: 2yab; primitive code: 2yab order: 2; axisType: y; translation: ab operator: -x+1/2,y+1/2,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,y+1/2,-z x,y+1/2,z+1/2 -x+1/2,y,-z+1/2 -x,-y+1/2,-z+1/2 x+1/2,-y,z+1/2 -x,-y,-z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: I 1 2/a 1 international table number: 15:b3 Hall symbol: -I 2ya primitive Hall symbol: P 2ya 1n -1 lattice type: I: body-centered rotation term 1 input code: 2ya; primitive code: 2ya order: 2; axisType: y; translation: a operator: -x+1/2,y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,y,-z x+1/2,y+1/2,z+1/2 -x,y+1/2,-z+1/2 -x+1/2,-y+1/2,-z+1/2 x,-y+1/2,z+1/2 -x,-y,-z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: I 2/a international table number: 15:b3 Hall symbol: -I 2ya primitive Hall symbol: P 2ya 1n -1 lattice type: I: body-centered rotation term 1 input code: 2ya; primitive code: 2ya order: 2; axisType: y; translation: a operator: -x+1/2,y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,y,-z x+1/2,y+1/2,z+1/2 -x,y+1/2,-z+1/2 -x+1/2,-y+1/2,-z+1/2 x,-y+1/2,z+1/2 -x,-y,-z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: A 1 2/a 1 international table number: 15:-b1 Hall symbol: -A 2ya primitive Hall symbol: P 2ya 1bc -1 lattice type: A: A-centered rotation term 1 input code: 2ya; primitive code: 2ya order: 2; axisType: y; translation: a operator: -x+1/2,y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,y,-z x,y+1/2,z+1/2 -x+1/2,y+1/2,-z+1/2 -x,-y+1/2,-z+1/2 x+1/2,-y+1/2,z+1/2 -x,-y,-z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: C 1 2/n 1 international table number: 15:-b2 Hall symbol: -C 2yac primitive Hall symbol: P 2yac 1ab -1 lattice type: C: C-centered rotation term 1 input code: 2yac; primitive code: 2yac order: 2; axisType: y; translation: ac operator: -x+1/2,y,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,y,-z+1/2 x+1/2,y+1/2,z -x,y+1/2,-z+1/2 -x+1/2,-y+1/2,-z x,-y+1/2,z+1/2 -x,-y,-z x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: C 2/n international table number: 15:-b2 Hall symbol: -C 2yac primitive Hall symbol: P 2yac 1ab -1 lattice type: C: C-centered rotation term 1 input code: 2yac; primitive code: 2yac order: 2; axisType: y; translation: ac operator: -x+1/2,y,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,y,-z+1/2 x+1/2,y+1/2,z -x,y+1/2,-z+1/2 -x+1/2,-y+1/2,-z x,-y+1/2,z+1/2 -x,-y,-z x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: I 1 2/c 1 international table number: 15:-b3 Hall symbol: -I 2yc primitive Hall symbol: P 2yc 1n -1 lattice type: I: body-centered rotation term 1 input code: 2yc; primitive code: 2yc order: 2; axisType: y; translation: c operator: -x,y,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,y,-z+1/2 x+1/2,y+1/2,z+1/2 -x+1/2,y+1/2,-z -x+1/2,-y+1/2,-z+1/2 x+1/2,-y+1/2,z -x,-y,-z x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: I 2/c international table number: 15:-b3 Hall symbol: -I 2yc primitive Hall symbol: P 2yc 1n -1 lattice type: I: body-centered rotation term 1 input code: 2yc; primitive code: 2yc order: 2; axisType: y; translation: c operator: -x,y,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,y,-z+1/2 x+1/2,y+1/2,z+1/2 -x+1/2,y+1/2,-z -x+1/2,-y+1/2,-z+1/2 x+1/2,-y+1/2,z -x,-y,-z x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: A 1 1 2/a international table number: 15:c1 Hall symbol: -A 2a primitive Hall symbol: P 2za 1bc -1 lattice type: A: A-centered rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z x,y+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 -x,-y+1/2,-z+1/2 x+1/2,y+1/2,-z+1/2 -x,-y,-z x+1/2,y,-z ---------------------- Hermann-Mauguin symbol: B 1 1 2/n international table number: 15:c2 Hall symbol: -B 2ab primitive Hall symbol: P 2zab 1ac -1 lattice type: B: B-centered rotation term 1 input code: 2ab; primitive code: 2zab order: 2; axisType: z; translation: ab operator: -x+1/2,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y+1/2,z x+1/2,y,z+1/2 -x,-y+1/2,z+1/2 -x+1/2,-y,-z+1/2 x,y+1/2,-z+1/2 -x,-y,-z x+1/2,y+1/2,-z ---------------------- Hermann-Mauguin symbol: I 1 1 2/b international table number: 15:c3 Hall symbol: -I 2b primitive Hall symbol: P 2zb 1n -1 lattice type: I: body-centered rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y+1/2,z x+1/2,y+1/2,z+1/2 -x+1/2,-y,z+1/2 -x+1/2,-y+1/2,-z+1/2 x+1/2,y,-z+1/2 -x,-y,-z x,y+1/2,-z ---------------------- Hermann-Mauguin symbol: B 1 1 2/b international table number: 15:-c1 Hall symbol: -B 2b primitive Hall symbol: P 2zb 1ac -1 lattice type: B: B-centered rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y+1/2,z x+1/2,y,z+1/2 -x+1/2,-y+1/2,z+1/2 -x+1/2,-y,-z+1/2 x+1/2,y+1/2,-z+1/2 -x,-y,-z x,y+1/2,-z ---------------------- Hermann-Mauguin symbol: A 1 1 2/n international table number: 15:-c2 Hall symbol: -A 2ab primitive Hall symbol: P 2zab 1bc -1 lattice type: A: A-centered rotation term 1 input code: 2ab; primitive code: 2zab order: 2; axisType: z; translation: ab operator: -x+1/2,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y+1/2,z x,y+1/2,z+1/2 -x+1/2,-y,z+1/2 -x,-y+1/2,-z+1/2 x+1/2,y,-z+1/2 -x,-y,-z x+1/2,y+1/2,-z ---------------------- Hermann-Mauguin symbol: I 1 1 2/a international table number: 15:-c3 Hall symbol: -I 2a primitive Hall symbol: P 2za 1n -1 lattice type: I: body-centered rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z x+1/2,y+1/2,z+1/2 -x,-y+1/2,z+1/2 -x+1/2,-y+1/2,-z+1/2 x,y+1/2,-z+1/2 -x,-y,-z x+1/2,y,-z ---------------------- Hermann-Mauguin symbol: B 2/b 1 1 international table number: 15:a1 Hall symbol: -B 2xb primitive Hall symbol: P 2xb 1ac -1 lattice type: B: B-centered rotation term 1 input code: 2xb; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,-y+1/2,-z x+1/2,y,z+1/2 x+1/2,-y+1/2,-z+1/2 -x+1/2,-y,-z+1/2 -x+1/2,y+1/2,z+1/2 -x,-y,-z -x,y+1/2,z ---------------------- Hermann-Mauguin symbol: C 2/n 1 1 international table number: 15:a2 Hall symbol: -C 2xac primitive Hall symbol: P 2xac 1ab -1 lattice type: C: C-centered rotation term 1 input code: 2xac; primitive code: 2xac order: 2; axisType: x; translation: ac operator: x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x+1/2,-y,-z+1/2 x+1/2,y+1/2,z x,-y+1/2,-z+1/2 -x+1/2,-y+1/2,-z -x,y+1/2,z+1/2 -x,-y,-z -x+1/2,y,z+1/2 ---------------------- Hermann-Mauguin symbol: I 2/c 1 1 international table number: 15:a3 Hall symbol: -I 2xc primitive Hall symbol: P 2xc 1n -1 lattice type: I: body-centered rotation term 1 input code: 2xc; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,-y,-z+1/2 x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,-z -x+1/2,-y+1/2,-z+1/2 -x+1/2,y+1/2,z -x,-y,-z -x,y,z+1/2 ---------------------- Hermann-Mauguin symbol: C 2/c 1 1 international table number: 15:-a1 Hall symbol: -C 2xc primitive Hall symbol: P 2xc 1ab -1 lattice type: C: C-centered rotation term 1 input code: 2xc; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,-y,-z+1/2 x+1/2,y+1/2,z x+1/2,-y+1/2,-z+1/2 -x+1/2,-y+1/2,-z -x+1/2,y+1/2,z+1/2 -x,-y,-z -x,y,z+1/2 ---------------------- Hermann-Mauguin symbol: B 2/n 1 1 international table number: 15:-a2 Hall symbol: -B 2xab primitive Hall symbol: P 2xab 1ac -1 lattice type: B: B-centered rotation term 1 input code: 2xab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x+1/2,-y+1/2,-z x+1/2,y,z+1/2 x,-y+1/2,-z+1/2 -x+1/2,-y,-z+1/2 -x,y+1/2,z+1/2 -x,-y,-z -x+1/2,y+1/2,z ---------------------- Hermann-Mauguin symbol: I 2/b 1 1 international table number: 15:-a3 Hall symbol: -I 2xb primitive Hall symbol: P 2xb 1n -1 lattice type: I: body-centered rotation term 1 input code: 2xb; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,-y+1/2,-z x+1/2,y+1/2,z+1/2 x+1/2,-y,-z+1/2 -x+1/2,-y+1/2,-z+1/2 -x+1/2,y,z+1/2 -x,-y,-z -x,y+1/2,z ---------------------- Hermann-Mauguin symbol: P 2 2 2 international table number: 16 Hall symbol: P 2 2 primitive Hall symbol: P 2z 2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z x,-y,-z -x,y,-z ---------------------- Hermann-Mauguin symbol: P 2 2 21 international table number: 17 Hall symbol: P 2c 2 primitive Hall symbol: P 2zc 2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z+1/2 x,-y,-z -x,y,-z+1/2 ---------------------- Hermann-Mauguin symbol: P 2 2 21 international table number: 17 Hall symbol: P 21 2 primitive Hall symbol: P 2z1 2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: 21; primitive code: 2z1 order: 2; axisType: z; translation: 1 operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z+1/2 x,-y,-z -x,y,-z+1/2 ---------------------- Hermann-Mauguin symbol: P 21 2 2 international table number: 17:cab Hall symbol: P 2a 2a primitive Hall symbol: P 2za 2xa lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x+1/2,-y,z x+1/2,-y,-z -x,y,-z ---------------------- Hermann-Mauguin symbol: P 2 21 2 international table number: 17:bca Hall symbol: P 2 2b primitive Hall symbol: P 2z 2xb lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z x,-y+1/2,-z -x,y+1/2,-z ---------------------- Hermann-Mauguin symbol: P 21 21 2 international table number: 18 Hall symbol: P 2 2ab primitive Hall symbol: P 2z 2xab lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z ---------------------- Hermann-Mauguin symbol: P 2 21 21 international table number: 18:cab Hall symbol: P 2bc 2 primitive Hall symbol: P 2zbc 2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2bc; primitive code: 2zbc order: 2; axisType: z; translation: bc operator: -x,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y+1/2,z+1/2 x,-y,-z -x,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: P 21 2 21 international table number: 18:bca Hall symbol: P 2ac 2ac primitive Hall symbol: P 2zac 2xac lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2ac; primitive code: 2zac order: 2; axisType: z; translation: ac operator: -x+1/2,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ac; primitive code: 2xac order: 2; axisType: x; translation: ac operator: x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x+1/2,-y,z+1/2 x+1/2,-y,-z+1/2 -x,y,-z ---------------------- Hermann-Mauguin symbol: P 21 21 21 international table number: 19 Hall symbol: P 2ac 2ab primitive Hall symbol: P 2zac 2xab lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2ac; primitive code: 2zac order: 2; axisType: z; translation: ac operator: -x+1/2,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x+1/2,-y,z+1/2 x+1/2,-y+1/2,-z -x,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: C 2 2 21 international table number: 20 Hall symbol: C 2c 2 primitive Hall symbol: P 2zc 2x 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z+1/2 x,-y,-z -x,y,-z+1/2 x+1/2,y+1/2,z -x+1/2,-y+1/2,z+1/2 x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: C 2 2 21 international table number: 20 Hall symbol: C 21 2 primitive Hall symbol: P 2z1 2x 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: 21; primitive code: 2z1 order: 2; axisType: z; translation: 1 operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z+1/2 x,-y,-z -x,y,-z+1/2 x+1/2,y+1/2,z -x+1/2,-y+1/2,z+1/2 x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: A 21 2 2 international table number: 20:cab Hall symbol: A 2a 2a primitive Hall symbol: P 2za 2xa 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z x+1/2,-y,-z -x,y,-z x,y+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -x,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: A 21 2 2 international table number: 20:cab Hall symbol: A 2a 21 primitive Hall symbol: P 2za 2x1 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 21; primitive code: 2x1 order: 2; axisType: x; translation: 1 operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z x+1/2,-y,-z -x,y,-z x,y+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -x,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: B 2 21 2 international table number: 20:bca Hall symbol: B 2 2b primitive Hall symbol: P 2z 2xb 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x,-y+1/2,-z -x,y+1/2,-z x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 x+1/2,-y+1/2,-z+1/2 -x+1/2,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: C 2 2 2 international table number: 21 Hall symbol: C 2 2 primitive Hall symbol: P 2z 2x 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x,-y,-z -x,y,-z x+1/2,y+1/2,z -x+1/2,-y+1/2,z x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z ---------------------- Hermann-Mauguin symbol: A 2 2 2 international table number: 21:cab Hall symbol: A 2 2 primitive Hall symbol: P 2z 2x 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x,-y,-z -x,y,-z x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 x,-y+1/2,-z+1/2 -x,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: B 2 2 2 international table number: 21:bca Hall symbol: B 2 2 primitive Hall symbol: P 2z 2x 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x,-y,-z -x,y,-z x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 x+1/2,-y,-z+1/2 -x+1/2,y,-z+1/2 ---------------------- Hermann-Mauguin symbol: F 2 2 2 international table number: 22 Hall symbol: F 2 2 primitive Hall symbol: P 2z 2x 1ab 1bc 1ac lattice type: -F: centrosymmetric face-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x,-y,-z -x,y,-z x+1/2,y+1/2,z -x+1/2,-y+1/2,z x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 x+1/2,-y,-z+1/2 -x+1/2,y,-z+1/2 x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 x,-y+1/2,-z+1/2 -x,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: I 2 2 2 international table number: 23 Hall symbol: I 2 2 primitive Hall symbol: P 2z 2x 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x,-y,-z -x,y,-z x+1/2,y+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -x+1/2,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: I 21 21 21 international table number: 24 Hall symbol: I 2b 2c primitive Hall symbol: P 2zb 2xc 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y+1/2,z x,-y,-z+1/2 -x,y+1/2,-z+1/2 x+1/2,y+1/2,z+1/2 -x+1/2,-y,z+1/2 x+1/2,-y+1/2,-z -x+1/2,y,-z ---------------------- Hermann-Mauguin symbol: P m m 2 international table number: 25 Hall symbol: P 2 -2 primitive Hall symbol: P 2z -2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z -x,y,z x,-y,z ---------------------- Hermann-Mauguin symbol: P 2 m m international table number: 25:cab Hall symbol: P -2 2 primitive Hall symbol: P -2z 2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y,-z x,-y,-z x,-y,z ---------------------- Hermann-Mauguin symbol: P m 2 m international table number: 25:bca Hall symbol: P -2 -2 primitive Hall symbol: P -2z -2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y,-z -x,y,z -x,y,-z ---------------------- Hermann-Mauguin symbol: P m c 21 international table number: 26 Hall symbol: P 2c -2 primitive Hall symbol: P 2zc -2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z+1/2 -x,y,z x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P m c 21 international table number: 26 Hall symbol: P 21 -2 primitive Hall symbol: P 2z1 -2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: 21; primitive code: 2z1 order: 2; axisType: z; translation: 1 operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z+1/2 -x,y,z x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P c m 21 international table number: 26:ba-c Hall symbol: P 2c -2c primitive Hall symbol: P 2zc -2xc lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z+1/2 -x,y,z+1/2 x,-y,z ---------------------- Hermann-Mauguin symbol: P c m 21 international table number: 26:ba-c Hall symbol: P 21 -2c primitive Hall symbol: P 2z1 -2xc lattice type: -P: centrosymmetric primitive rotation term 1 input code: 21; primitive code: 2z1 order: 2; axisType: z; translation: 1 operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z+1/2 -x,y,z+1/2 x,-y,z ---------------------- Hermann-Mauguin symbol: P 21 m a international table number: 26:cab Hall symbol: P -2a 2a primitive Hall symbol: P -2za 2xa lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2a; primitive code: -2za order: 2 (improper axis); axisType: z; translation: a operator: x+1/2,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y,-z x+1/2,-y,-z x,-y,z ---------------------- Hermann-Mauguin symbol: P 21 a m international table number: 26:-cba Hall symbol: P -2 2a primitive Hall symbol: P -2z 2xa lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y,-z x+1/2,-y,-z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: P b 21 m international table number: 26:bca Hall symbol: P -2 -2b primitive Hall symbol: P -2z -2xb lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2b; primitive code: -2xb order: 2 (improper axis); axisType: x; translation: b operator: -x,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y,-z -x,y+1/2,z -x,y+1/2,-z ---------------------- Hermann-Mauguin symbol: P m 21 b international table number: 26:a-cb Hall symbol: P -2b -2 primitive Hall symbol: P -2zb -2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2b; primitive code: -2zb order: 2 (improper axis); axisType: z; translation: b operator: x,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y+1/2,-z -x,y,z -x,y+1/2,-z ---------------------- Hermann-Mauguin symbol: P c c 2 international table number: 27 Hall symbol: P 2 -2c primitive Hall symbol: P 2z -2xc lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z -x,y,z+1/2 x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 2 a a international table number: 27:cab Hall symbol: P -2a 2 primitive Hall symbol: P -2za 2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2a; primitive code: -2za order: 2 (improper axis); axisType: z; translation: a operator: x+1/2,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y,-z x,-y,-z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: P b 2 b international table number: 27:bca Hall symbol: P -2b -2b primitive Hall symbol: P -2zb -2xb lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2b; primitive code: -2zb order: 2 (improper axis); axisType: z; translation: b operator: x,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2b; primitive code: -2xb order: 2 (improper axis); axisType: x; translation: b operator: -x,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y+1/2,-z -x,y+1/2,z -x,y,-z ---------------------- Hermann-Mauguin symbol: P m a 2 international table number: 28 Hall symbol: P 2 -2a primitive Hall symbol: P 2z -2xa lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2a; primitive code: -2xa order: 2 (improper axis); axisType: x; translation: a operator: -x+1/2,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z -x+1/2,y,z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: P m a 2 international table number: 28 Hall symbol: P 2 -21 primitive Hall symbol: P 2z -2x1 lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -21; primitive code: -2x1 order: 2 (improper axis); axisType: x; translation: 1 operator: -x+1/2,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z -x+1/2,y,z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: P b m 2 international table number: 28:ba-c Hall symbol: P 2 -2b primitive Hall symbol: P 2z -2xb lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2b; primitive code: -2xb order: 2 (improper axis); axisType: x; translation: b operator: -x,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z -x,y+1/2,z x,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P 2 m b international table number: 28:cab Hall symbol: P -2b 2 primitive Hall symbol: P -2zb 2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2b; primitive code: -2zb order: 2 (improper axis); axisType: z; translation: b operator: x,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y+1/2,-z x,-y,-z x,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P 2 c m international table number: 28:-cba Hall symbol: P -2c 2 primitive Hall symbol: P -2zc 2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2c; primitive code: -2zc order: 2 (improper axis); axisType: z; translation: c operator: x,y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y,-z+1/2 x,-y,-z x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 2 c m international table number: 28:-cba Hall symbol: P -21 2 primitive Hall symbol: P -2z1 2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: -21; primitive code: -2z1 order: 2 (improper axis); axisType: z; translation: 1 operator: x,y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y,-z+1/2 x,-y,-z x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P c 2 m international table number: 28:bca Hall symbol: P -2c -2c primitive Hall symbol: P -2zc -2xc lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2c; primitive code: -2zc order: 2 (improper axis); axisType: z; translation: c operator: x,y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y,-z+1/2 -x,y,z+1/2 -x,y,-z ---------------------- Hermann-Mauguin symbol: P m 2 a international table number: 28:a-cb Hall symbol: P -2a -2a primitive Hall symbol: P -2za -2xa lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2a; primitive code: -2za order: 2 (improper axis); axisType: z; translation: a operator: x+1/2,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2a; primitive code: -2xa order: 2 (improper axis); axisType: x; translation: a operator: -x+1/2,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y,-z -x+1/2,y,z -x,y,-z ---------------------- Hermann-Mauguin symbol: P c a 21 international table number: 29 Hall symbol: P 2c -2ac primitive Hall symbol: P 2zc -2xac lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2ac; primitive code: -2xac order: 2 (improper axis); axisType: x; translation: ac operator: -x+1/2,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z+1/2 -x+1/2,y,z+1/2 x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: P b c 21 international table number: 29:ba-c Hall symbol: P 2c -2b primitive Hall symbol: P 2zc -2xb lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2b; primitive code: -2xb order: 2 (improper axis); axisType: x; translation: b operator: -x,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z+1/2 -x,y+1/2,z x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 21 a b international table number: 29:cab Hall symbol: P -2b 2a primitive Hall symbol: P -2zb 2xa lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2b; primitive code: -2zb order: 2 (improper axis); axisType: z; translation: b operator: x,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y+1/2,-z x+1/2,-y,-z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P 21 c a international table number: 29:-cba Hall symbol: P -2ac 2a primitive Hall symbol: P -2zac 2xa lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2ac; primitive code: -2zac order: 2 (improper axis); axisType: z; translation: ac operator: x+1/2,y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y,-z+1/2 x+1/2,-y,-z x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P c 21 b international table number: 29:bca Hall symbol: P -2bc -2c primitive Hall symbol: P -2zbc -2xc lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2bc; primitive code: -2zbc order: 2 (improper axis); axisType: z; translation: bc operator: x,y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y+1/2,-z+1/2 -x,y,z+1/2 -x,y+1/2,-z ---------------------- Hermann-Mauguin symbol: P b 21 a international table number: 29:a-cb Hall symbol: P -2a -2ab primitive Hall symbol: P -2za -2xab lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2a; primitive code: -2za order: 2 (improper axis); axisType: z; translation: a operator: x+1/2,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2ab; primitive code: -2xab order: 2 (improper axis); axisType: x; translation: ab operator: -x+1/2,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y,-z -x+1/2,y+1/2,z -x,y+1/2,-z ---------------------- Hermann-Mauguin symbol: P n c 2 international table number: 30 Hall symbol: P 2 -2bc primitive Hall symbol: P 2z -2xbc lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2bc; primitive code: -2xbc order: 2 (improper axis); axisType: x; translation: bc operator: -x,y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z -x,y+1/2,z+1/2 x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P c n 2 international table number: 30:ba-c Hall symbol: P 2 -2ac primitive Hall symbol: P 2z -2xac lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2ac; primitive code: -2xac order: 2 (improper axis); axisType: x; translation: ac operator: -x+1/2,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z -x+1/2,y,z+1/2 x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 2 n a international table number: 30:cab Hall symbol: P -2ac 2 primitive Hall symbol: P -2zac 2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2ac; primitive code: -2zac order: 2 (improper axis); axisType: z; translation: ac operator: x+1/2,y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y,-z+1/2 x,-y,-z x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 2 a n international table number: 30:-cba Hall symbol: P -2ab 2 primitive Hall symbol: P -2zab 2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2ab; primitive code: -2zab order: 2 (improper axis); axisType: z; translation: ab operator: x+1/2,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y+1/2,-z x,-y,-z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P b 2 n international table number: 30:bca Hall symbol: P -2ab -2ab primitive Hall symbol: P -2zab -2xab lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2ab; primitive code: -2zab order: 2 (improper axis); axisType: z; translation: ab operator: x+1/2,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2ab; primitive code: -2xab order: 2 (improper axis); axisType: x; translation: ab operator: -x+1/2,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y+1/2,-z -x+1/2,y+1/2,z -x,y,-z ---------------------- Hermann-Mauguin symbol: P n 2 b international table number: 30:a-cb Hall symbol: P -2bc -2bc primitive Hall symbol: P -2zbc -2xbc lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2bc; primitive code: -2zbc order: 2 (improper axis); axisType: z; translation: bc operator: x,y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2bc; primitive code: -2xbc order: 2 (improper axis); axisType: x; translation: bc operator: -x,y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y+1/2,-z+1/2 -x,y+1/2,z+1/2 -x,y,-z ---------------------- Hermann-Mauguin symbol: P m n 21 international table number: 31 Hall symbol: P 2ac -2 primitive Hall symbol: P 2zac -2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2ac; primitive code: 2zac order: 2; axisType: z; translation: ac operator: -x+1/2,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x+1/2,-y,z+1/2 -x,y,z x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P n m 21 international table number: 31:ba-c Hall symbol: P 2bc -2bc primitive Hall symbol: P 2zbc -2xbc lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2bc; primitive code: 2zbc order: 2; axisType: z; translation: bc operator: -x,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2bc; primitive code: -2xbc order: 2 (improper axis); axisType: x; translation: bc operator: -x,y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y+1/2,z+1/2 -x,y+1/2,z+1/2 x,-y,z ---------------------- Hermann-Mauguin symbol: P 21 m n international table number: 31:cab Hall symbol: P -2ab 2ab primitive Hall symbol: P -2zab 2xab lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2ab; primitive code: -2zab order: 2 (improper axis); axisType: z; translation: ab operator: x+1/2,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y+1/2,-z x+1/2,-y+1/2,-z x,-y,z ---------------------- Hermann-Mauguin symbol: P 21 n m international table number: 31:-cba Hall symbol: P -2 2ac primitive Hall symbol: P -2z 2xac lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ac; primitive code: 2xac order: 2; axisType: x; translation: ac operator: x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y,-z x+1/2,-y,-z+1/2 x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P n 21 m international table number: 31:bca Hall symbol: P -2 -2bc primitive Hall symbol: P -2z -2xbc lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2bc; primitive code: -2xbc order: 2 (improper axis); axisType: x; translation: bc operator: -x,y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y,-z -x,y+1/2,z+1/2 -x,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: P m 21 n international table number: 31:a-cb Hall symbol: P -2ab -2 primitive Hall symbol: P -2zab -2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2ab; primitive code: -2zab order: 2 (improper axis); axisType: z; translation: ab operator: x+1/2,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y+1/2,-z -x,y,z -x+1/2,y+1/2,-z ---------------------- Hermann-Mauguin symbol: P b a 2 international table number: 32 Hall symbol: P 2 -2ab primitive Hall symbol: P 2z -2xab lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2ab; primitive code: -2xab order: 2 (improper axis); axisType: x; translation: ab operator: -x+1/2,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z -x+1/2,y+1/2,z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P 2 c b international table number: 32:cab Hall symbol: P -2bc 2 primitive Hall symbol: P -2zbc 2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2bc; primitive code: -2zbc order: 2 (improper axis); axisType: z; translation: bc operator: x,y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y+1/2,-z+1/2 x,-y,-z x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P c 2 a international table number: 32:bca Hall symbol: P -2ac -2ac primitive Hall symbol: P -2zac -2xac lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2ac; primitive code: -2zac order: 2 (improper axis); axisType: z; translation: ac operator: x+1/2,y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2ac; primitive code: -2xac order: 2 (improper axis); axisType: x; translation: ac operator: -x+1/2,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y,-z+1/2 -x+1/2,y,z+1/2 -x,y,-z ---------------------- Hermann-Mauguin symbol: P n a 21 international table number: 33 Hall symbol: P 2c -2n primitive Hall symbol: P 2zc -2xn lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2n; primitive code: -2xn order: 2 (improper axis); axisType: x; translation: n operator: -x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z+1/2 -x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P n a 21 international table number: 33 Hall symbol: P 21 -2n primitive Hall symbol: P 2z1 -2xn lattice type: -P: centrosymmetric primitive rotation term 1 input code: 21; primitive code: 2z1 order: 2; axisType: z; translation: 1 operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2n; primitive code: -2xn order: 2 (improper axis); axisType: x; translation: n operator: -x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z+1/2 -x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P b n 21 international table number: 33:ba-c Hall symbol: P 2c -2ab primitive Hall symbol: P 2zc -2xab lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2ab; primitive code: -2xab order: 2 (improper axis); axisType: x; translation: ab operator: -x+1/2,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z+1/2 -x+1/2,y+1/2,z x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P b n 21 international table number: 33:ba-c Hall symbol: P 21 -2ab primitive Hall symbol: P 2z1 -2xab lattice type: -P: centrosymmetric primitive rotation term 1 input code: 21; primitive code: 2z1 order: 2; axisType: z; translation: 1 operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2ab; primitive code: -2xab order: 2 (improper axis); axisType: x; translation: ab operator: -x+1/2,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z+1/2 -x+1/2,y+1/2,z x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 21 n b international table number: 33:cab Hall symbol: P -2bc 2a primitive Hall symbol: P -2zbc 2xa lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2bc; primitive code: -2zbc order: 2 (improper axis); axisType: z; translation: bc operator: x,y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y+1/2,-z+1/2 x+1/2,-y,-z x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 21 n b international table number: 33:cab Hall symbol: P -2bc 21 primitive Hall symbol: P -2zbc 2x1 lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2bc; primitive code: -2zbc order: 2 (improper axis); axisType: z; translation: bc operator: x,y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 21; primitive code: 2x1 order: 2; axisType: x; translation: 1 operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x,y+1/2,-z+1/2 x+1/2,-y,-z x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 21 c n international table number: 33:-cba Hall symbol: P -2n 2a primitive Hall symbol: P -2zn 2xa lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2n; primitive code: -2zn order: 2 (improper axis); axisType: z; translation: n operator: x+1/2,y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y+1/2,-z+1/2 x+1/2,-y,-z x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 21 c n international table number: 33:-cba Hall symbol: P -2n 21 primitive Hall symbol: P -2zn 2x1 lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2n; primitive code: -2zn order: 2 (improper axis); axisType: z; translation: n operator: x+1/2,y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 21; primitive code: 2x1 order: 2; axisType: x; translation: 1 operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y+1/2,-z+1/2 x+1/2,-y,-z x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P c 21 n international table number: 33:bca Hall symbol: P -2n -2ac primitive Hall symbol: P -2zn -2xac lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2n; primitive code: -2zn order: 2 (improper axis); axisType: z; translation: n operator: x+1/2,y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2ac; primitive code: -2xac order: 2 (improper axis); axisType: x; translation: ac operator: -x+1/2,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y+1/2,-z+1/2 -x+1/2,y,z+1/2 -x,y+1/2,-z ---------------------- Hermann-Mauguin symbol: P n 21 a international table number: 33:a-cb Hall symbol: P -2ac -2n primitive Hall symbol: P -2zac -2xn lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2ac; primitive code: -2zac order: 2 (improper axis); axisType: z; translation: ac operator: x+1/2,y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2n; primitive code: -2xn order: 2 (improper axis); axisType: x; translation: n operator: -x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y,-z+1/2 -x+1/2,y+1/2,z+1/2 -x,y+1/2,-z ---------------------- Hermann-Mauguin symbol: P n n 2 international table number: 34 Hall symbol: P 2 -2n primitive Hall symbol: P 2z -2xn lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2n; primitive code: -2xn order: 2 (improper axis); axisType: x; translation: n operator: -x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -x,-y,z -x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 2 n n international table number: 34:cab Hall symbol: P -2n 2 primitive Hall symbol: P -2zn 2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2n; primitive code: -2zn order: 2 (improper axis); axisType: z; translation: n operator: x+1/2,y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y+1/2,-z+1/2 x,-y,-z x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P n 2 n international table number: 34:bca Hall symbol: P -2n -2n primitive Hall symbol: P -2zn -2xn lattice type: -P: centrosymmetric primitive rotation term 1 input code: -2n; primitive code: -2zn order: 2 (improper axis); axisType: z; translation: n operator: x+1/2,y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2n; primitive code: -2xn order: 2 (improper axis); axisType: x; translation: n operator: -x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z x+1/2,y+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 -x,y,-z ---------------------- Hermann-Mauguin symbol: C m m 2 international table number: 35 Hall symbol: C 2 -2 primitive Hall symbol: P 2z -2x 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z -x,y,z x,-y,z x+1/2,y+1/2,z -x+1/2,-y+1/2,z -x+1/2,y+1/2,z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: A 2 m m international table number: 35:cab Hall symbol: A -2 2 primitive Hall symbol: P -2z 2x 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y,-z x,-y,-z x,-y,z x,y+1/2,z+1/2 x,y+1/2,-z+1/2 x,-y+1/2,-z+1/2 x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: B m 2 m international table number: 35:bca Hall symbol: B -2 -2 primitive Hall symbol: P -2z -2x 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y,-z -x,y,z -x,y,-z x+1/2,y,z+1/2 x+1/2,y,-z+1/2 -x+1/2,y,z+1/2 -x+1/2,y,-z+1/2 ---------------------- Hermann-Mauguin symbol: C m c 21 international table number: 36 Hall symbol: C 2c -2 primitive Hall symbol: P 2zc -2x 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z+1/2 -x,y,z x,-y,z+1/2 x+1/2,y+1/2,z -x+1/2,-y+1/2,z+1/2 -x+1/2,y+1/2,z x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: C m c 21 international table number: 36 Hall symbol: C 21 -2 primitive Hall symbol: P 2z1 -2x 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: 21; primitive code: 2z1 order: 2; axisType: z; translation: 1 operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z+1/2 -x,y,z x,-y,z+1/2 x+1/2,y+1/2,z -x+1/2,-y+1/2,z+1/2 -x+1/2,y+1/2,z x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: C c m 21 international table number: 36:ba-c Hall symbol: C 2c -2c primitive Hall symbol: P 2zc -2xc 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z+1/2 -x,y,z+1/2 x,-y,z x+1/2,y+1/2,z -x+1/2,-y+1/2,z+1/2 -x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: C c m 21 international table number: 36:ba-c Hall symbol: C 21 -2c primitive Hall symbol: P 2z1 -2xc 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: 21; primitive code: 2z1 order: 2; axisType: z; translation: 1 operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z+1/2 -x,y,z+1/2 x,-y,z x+1/2,y+1/2,z -x+1/2,-y+1/2,z+1/2 -x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: A 21 m a international table number: 36:cab Hall symbol: A -2a 2a primitive Hall symbol: P -2za 2xa 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: -2a; primitive code: -2za order: 2 (improper axis); axisType: z; translation: a operator: x+1/2,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x+1/2,y,-z x+1/2,-y,-z x,-y,z x,y+1/2,z+1/2 x+1/2,y+1/2,-z+1/2 x+1/2,-y+1/2,-z+1/2 x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: A 21 m a international table number: 36:cab Hall symbol: A -2a 21 primitive Hall symbol: P -2za 2x1 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: -2a; primitive code: -2za order: 2 (improper axis); axisType: z; translation: a operator: x+1/2,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 21; primitive code: 2x1 order: 2; axisType: x; translation: 1 operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x+1/2,y,-z x+1/2,-y,-z x,-y,z x,y+1/2,z+1/2 x+1/2,y+1/2,-z+1/2 x+1/2,-y+1/2,-z+1/2 x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: A 21 a m international table number: 36:-cba Hall symbol: A -2 2a primitive Hall symbol: P -2z 2xa 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y,-z x+1/2,-y,-z x+1/2,-y,z x,y+1/2,z+1/2 x,y+1/2,-z+1/2 x+1/2,-y+1/2,-z+1/2 x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: A 21 a m international table number: 36:-cba Hall symbol: A -2 21 primitive Hall symbol: P -2z 2x1 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 21; primitive code: 2x1 order: 2; axisType: x; translation: 1 operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y,-z x+1/2,-y,-z x+1/2,-y,z x,y+1/2,z+1/2 x,y+1/2,-z+1/2 x+1/2,-y+1/2,-z+1/2 x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: B b 21 m international table number: 36:bca Hall symbol: B -2 -2b primitive Hall symbol: P -2z -2xb 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2b; primitive code: -2xb order: 2 (improper axis); axisType: x; translation: b operator: -x,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y,-z -x,y+1/2,z -x,y+1/2,-z x+1/2,y,z+1/2 x+1/2,y,-z+1/2 -x+1/2,y+1/2,z+1/2 -x+1/2,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: B m 21 b international table number: 36:a-cb Hall symbol: B -2b -2 primitive Hall symbol: P -2zb -2x 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: -2b; primitive code: -2zb order: 2 (improper axis); axisType: z; translation: b operator: x,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y+1/2,-z -x,y,z -x,y+1/2,-z x+1/2,y,z+1/2 x+1/2,y+1/2,-z+1/2 -x+1/2,y,z+1/2 -x+1/2,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: C c c 2 international table number: 37 Hall symbol: C 2 -2c primitive Hall symbol: P 2z -2xc 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z -x,y,z+1/2 x,-y,z+1/2 x+1/2,y+1/2,z -x+1/2,-y+1/2,z -x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: A 2 a a international table number: 37:cab Hall symbol: A -2a 2 primitive Hall symbol: P -2za 2x 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: -2a; primitive code: -2za order: 2 (improper axis); axisType: z; translation: a operator: x+1/2,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x+1/2,y,-z x,-y,-z x+1/2,-y,z x,y+1/2,z+1/2 x+1/2,y+1/2,-z+1/2 x,-y+1/2,-z+1/2 x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: B b 2 b international table number: 37:bca Hall symbol: B -2b -2b primitive Hall symbol: P -2zb -2xb 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: -2b; primitive code: -2zb order: 2 (improper axis); axisType: z; translation: b operator: x,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2b; primitive code: -2xb order: 2 (improper axis); axisType: x; translation: b operator: -x,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y+1/2,-z -x,y+1/2,z -x,y,-z x+1/2,y,z+1/2 x+1/2,y+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 -x+1/2,y,-z+1/2 ---------------------- Hermann-Mauguin symbol: A m m 2 international table number: 38 Hall symbol: A 2 -2 primitive Hall symbol: P 2z -2x 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z -x,y,z x,-y,z x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 -x,y+1/2,z+1/2 x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: B m m 2 international table number: 38:ba-c Hall symbol: B 2 -2 primitive Hall symbol: P 2z -2x 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z -x,y,z x,-y,z x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 -x+1/2,y,z+1/2 x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: B 2 m m international table number: 38:cab Hall symbol: B -2 2 primitive Hall symbol: P -2z 2x 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y,-z x,-y,-z x,-y,z x+1/2,y,z+1/2 x+1/2,y,-z+1/2 x+1/2,-y,-z+1/2 x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: C 2 m m international table number: 38:-cba Hall symbol: C -2 2 primitive Hall symbol: P -2z 2x 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y,-z x,-y,-z x,-y,z x+1/2,y+1/2,z x+1/2,y+1/2,-z x+1/2,-y+1/2,-z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: C m 2 m international table number: 38:bca Hall symbol: C -2 -2 primitive Hall symbol: P -2z -2x 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y,-z -x,y,z -x,y,-z x+1/2,y+1/2,z x+1/2,y+1/2,-z -x+1/2,y+1/2,z -x+1/2,y+1/2,-z ---------------------- Hermann-Mauguin symbol: A m 2 m international table number: 38:a-cb Hall symbol: A -2 -2 primitive Hall symbol: P -2z -2x 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y,-z -x,y,z -x,y,-z x,y+1/2,z+1/2 x,y+1/2,-z+1/2 -x,y+1/2,z+1/2 -x,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: A b m 2 international table number: 39 Hall symbol: A 2 -2b primitive Hall symbol: P 2z -2xb 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2b; primitive code: -2xb order: 2 (improper axis); axisType: x; translation: b operator: -x,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z -x,y+1/2,z x,-y+1/2,z x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 -x,y,z+1/2 x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: B m a 2 international table number: 39:ba-c Hall symbol: B 2 -2a primitive Hall symbol: P 2z -2xa 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2a; primitive code: -2xa order: 2 (improper axis); axisType: x; translation: a operator: -x+1/2,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z -x+1/2,y,z x+1/2,-y,z x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 -x,y,z+1/2 x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: B 2 c m international table number: 39:cab Hall symbol: B -2a 2 primitive Hall symbol: P -2za 2x 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: -2a; primitive code: -2za order: 2 (improper axis); axisType: z; translation: a operator: x+1/2,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x+1/2,y,-z x,-y,-z x+1/2,-y,z x+1/2,y,z+1/2 x,y,-z+1/2 x+1/2,-y,-z+1/2 x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: C 2 m b international table number: 39:-cba Hall symbol: C -2a 2 primitive Hall symbol: P -2za 2x 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: -2a; primitive code: -2za order: 2 (improper axis); axisType: z; translation: a operator: x+1/2,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x+1/2,y,-z x,-y,-z x+1/2,-y,z x+1/2,y+1/2,z x,y+1/2,-z x+1/2,-y+1/2,-z x,-y+1/2,z ---------------------- Hermann-Mauguin symbol: C m 2 a international table number: 39:bca Hall symbol: C -2a -2a primitive Hall symbol: P -2za -2xa 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: -2a; primitive code: -2za order: 2 (improper axis); axisType: z; translation: a operator: x+1/2,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2a; primitive code: -2xa order: 2 (improper axis); axisType: x; translation: a operator: -x+1/2,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x+1/2,y,-z -x+1/2,y,z -x,y,-z x+1/2,y+1/2,z x,y+1/2,-z -x,y+1/2,z -x+1/2,y+1/2,-z ---------------------- Hermann-Mauguin symbol: A c 2 m international table number: 39:a-cb Hall symbol: A -2b -2b primitive Hall symbol: P -2zb -2xb 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: -2b; primitive code: -2zb order: 2 (improper axis); axisType: z; translation: b operator: x,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2b; primitive code: -2xb order: 2 (improper axis); axisType: x; translation: b operator: -x,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y+1/2,-z -x,y+1/2,z -x,y,-z x,y+1/2,z+1/2 x,y,-z+1/2 -x,y,z+1/2 -x,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: A m a 2 international table number: 40 Hall symbol: A 2 -2a primitive Hall symbol: P 2z -2xa 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2a; primitive code: -2xa order: 2 (improper axis); axisType: x; translation: a operator: -x+1/2,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z -x+1/2,y,z x+1/2,-y,z x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 -x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: B b m 2 international table number: 40:ba-c Hall symbol: B 2 -2b primitive Hall symbol: P 2z -2xb 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2b; primitive code: -2xb order: 2 (improper axis); axisType: x; translation: b operator: -x,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z -x,y+1/2,z x,-y+1/2,z x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 -x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: B 2 m b international table number: 40:cab Hall symbol: B -2b 2 primitive Hall symbol: P -2zb 2x 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: -2b; primitive code: -2zb order: 2 (improper axis); axisType: z; translation: b operator: x,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y+1/2,-z x,-y,-z x,-y+1/2,z x+1/2,y,z+1/2 x+1/2,y+1/2,-z+1/2 x+1/2,-y,-z+1/2 x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: C 2 c m international table number: 40:-cba Hall symbol: C -2c 2 primitive Hall symbol: P -2zc 2x 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: -2c; primitive code: -2zc order: 2 (improper axis); axisType: z; translation: c operator: x,y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y,-z+1/2 x,-y,-z x,-y,z+1/2 x+1/2,y+1/2,z x+1/2,y+1/2,-z+1/2 x+1/2,-y+1/2,-z x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: C c 2 m international table number: 40:bca Hall symbol: C -2c -2c primitive Hall symbol: P -2zc -2xc 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: -2c; primitive code: -2zc order: 2 (improper axis); axisType: z; translation: c operator: x,y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y,-z+1/2 -x,y,z+1/2 -x,y,-z x+1/2,y+1/2,z x+1/2,y+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 -x+1/2,y+1/2,-z ---------------------- Hermann-Mauguin symbol: A m 2 a international table number: 40:a-cb Hall symbol: A -2a -2a primitive Hall symbol: P -2za -2xa 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: -2a; primitive code: -2za order: 2 (improper axis); axisType: z; translation: a operator: x+1/2,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2a; primitive code: -2xa order: 2 (improper axis); axisType: x; translation: a operator: -x+1/2,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x+1/2,y,-z -x+1/2,y,z -x,y,-z x,y+1/2,z+1/2 x+1/2,y+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 -x,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: A b a 2 international table number: 41 Hall symbol: A 2 -2ab primitive Hall symbol: P 2z -2xab 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2ab; primitive code: -2xab order: 2 (improper axis); axisType: x; translation: ab operator: -x+1/2,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z -x+1/2,y+1/2,z x+1/2,-y+1/2,z x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 -x+1/2,y,z+1/2 x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: B b a 2 international table number: 41:ba-c Hall symbol: B 2 -2ab primitive Hall symbol: P 2z -2xab 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2ab; primitive code: -2xab order: 2 (improper axis); axisType: x; translation: ab operator: -x+1/2,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z -x+1/2,y+1/2,z x+1/2,-y+1/2,z x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 -x,y+1/2,z+1/2 x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: B 2 c b international table number: 41:cab Hall symbol: B -2ab 2 primitive Hall symbol: P -2zab 2x 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: -2ab; primitive code: -2zab order: 2 (improper axis); axisType: z; translation: ab operator: x+1/2,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x+1/2,y+1/2,-z x,-y,-z x+1/2,-y+1/2,z x+1/2,y,z+1/2 x,y+1/2,-z+1/2 x+1/2,-y,-z+1/2 x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: C 2 c b international table number: 41:-cba Hall symbol: C -2ac 2 primitive Hall symbol: P -2zac 2x 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: -2ac; primitive code: -2zac order: 2 (improper axis); axisType: z; translation: ac operator: x+1/2,y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x+1/2,y,-z+1/2 x,-y,-z x+1/2,-y,z+1/2 x+1/2,y+1/2,z x,y+1/2,-z+1/2 x+1/2,-y+1/2,-z x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: C c 2 a international table number: 41:bca Hall symbol: C -2ac -2ac primitive Hall symbol: P -2zac -2xac 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: -2ac; primitive code: -2zac order: 2 (improper axis); axisType: z; translation: ac operator: x+1/2,y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2ac; primitive code: -2xac order: 2 (improper axis); axisType: x; translation: ac operator: -x+1/2,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x+1/2,y,-z+1/2 -x+1/2,y,z+1/2 -x,y,-z x+1/2,y+1/2,z x,y+1/2,-z+1/2 -x,y+1/2,z+1/2 -x+1/2,y+1/2,-z ---------------------- Hermann-Mauguin symbol: A c 2 a international table number: 41:a-cb Hall symbol: A -2ab -2ab primitive Hall symbol: P -2zab -2xab 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: -2ab; primitive code: -2zab order: 2 (improper axis); axisType: z; translation: ab operator: x+1/2,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2ab; primitive code: -2xab order: 2 (improper axis); axisType: x; translation: ab operator: -x+1/2,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x+1/2,y+1/2,-z -x+1/2,y+1/2,z -x,y,-z x,y+1/2,z+1/2 x+1/2,y,-z+1/2 -x+1/2,y,z+1/2 -x,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: F m m 2 international table number: 42 Hall symbol: F 2 -2 primitive Hall symbol: P 2z -2x 1ab 1bc 1ac lattice type: -F: centrosymmetric face-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z -x,y,z x,-y,z x+1/2,y+1/2,z -x+1/2,-y+1/2,z -x+1/2,y+1/2,z x+1/2,-y+1/2,z x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 -x+1/2,y,z+1/2 x+1/2,-y,z+1/2 x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 -x,y+1/2,z+1/2 x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: F 2 m m international table number: 42:cab Hall symbol: F -2 2 primitive Hall symbol: P -2z 2x 1ab 1bc 1ac lattice type: -F: centrosymmetric face-centered rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z x,y,-z x,-y,-z x,-y,z x+1/2,y+1/2,z x+1/2,y+1/2,-z x+1/2,-y+1/2,-z x+1/2,-y+1/2,z x+1/2,y,z+1/2 x+1/2,y,-z+1/2 x+1/2,-y,-z+1/2 x+1/2,-y,z+1/2 x,y+1/2,z+1/2 x,y+1/2,-z+1/2 x,-y+1/2,-z+1/2 x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: F m 2 m international table number: 42:bca Hall symbol: F -2 -2 primitive Hall symbol: P -2z -2x 1ab 1bc 1ac lattice type: -F: centrosymmetric face-centered rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z x,y,-z -x,y,z -x,y,-z x+1/2,y+1/2,z x+1/2,y+1/2,-z -x+1/2,y+1/2,z -x+1/2,y+1/2,-z x+1/2,y,z+1/2 x+1/2,y,-z+1/2 -x+1/2,y,z+1/2 -x+1/2,y,-z+1/2 x,y+1/2,z+1/2 x,y+1/2,-z+1/2 -x,y+1/2,z+1/2 -x,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: F d d 2 international table number: 43 Hall symbol: F 2 -2d primitive Hall symbol: P 2z -2xd 1ab 1bc 1ac lattice type: -F: centrosymmetric face-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2d; primitive code: -2xd order: 2 (improper axis); axisType: x; translation: d operator: -x+1/4,y+1/4,z+1/4 Seitz matrix(12ths): [ [-1.0 0.0 0.0 3.0] [0.0 1.0 0.0 3.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z -x+1/4,y+1/4,z+1/4 x+1/4,-y+1/4,z+1/4 x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 -x+3/4,y+1/4,z+3/4 x+3/4,-y+1/4,z+3/4 x+1/2,y+1/2,z -x+1/2,-y+1/2,z -x+3/4,y+3/4,z+1/4 x+3/4,-y+3/4,z+1/4 -x+1/4,y+3/4,z+3/4 x+1/4,-y+3/4,z+3/4 ---------------------- Hermann-Mauguin symbol: F 2 d d international table number: 43:cab Hall symbol: F -2d 2 primitive Hall symbol: P -2zd 2x 1ab 1bc 1ac lattice type: -F: centrosymmetric face-centered rotation term 1 input code: -2d; primitive code: -2zd order: 2 (improper axis); axisType: z; translation: d operator: x+1/4,y+1/4,-z+1/4 Seitz matrix(12ths): [ [1.0 0.0 0.0 3.0] [0.0 1.0 0.0 3.0] [0.0 0.0 -1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z x+1/4,y+1/4,-z+1/4 x+1/2,y+1/2,z x+1/2,-y+1/2,-z x+3/4,-y+1/4,z+3/4 x,-y,-z x+3/4,y+3/4,-z+1/4 x,y+1/2,z+1/2 x+1/4,y+3/4,-z+3/4 x+1/2,y,z+1/2 x+1/2,-y,-z+1/2 x+3/4,-y+3/4,z+1/4 x,-y+1/2,-z+1/2 x+3/4,y+1/4,-z+3/4 x+1/4,-y+3/4,z+3/4 x+1/4,-y+1/4,z+1/4 ---------------------- Hermann-Mauguin symbol: F d 2 d international table number: 43:bca Hall symbol: F -2d -2d primitive Hall symbol: P -2zd -2xd 1ab 1bc 1ac lattice type: -F: centrosymmetric face-centered rotation term 1 input code: -2d; primitive code: -2zd order: 2 (improper axis); axisType: z; translation: d operator: x+1/4,y+1/4,-z+1/4 Seitz matrix(12ths): [ [1.0 0.0 0.0 3.0] [0.0 1.0 0.0 3.0] [0.0 0.0 -1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2d; primitive code: -2xd order: 2 (improper axis); axisType: x; translation: d operator: -x+1/4,y+1/4,z+1/4 Seitz matrix(12ths): [ [-1.0 0.0 0.0 3.0] [0.0 1.0 0.0 3.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z x+1/4,y+1/4,-z+1/4 x+1/2,y+1/2,z -x+3/4,y+3/4,z+1/4 -x+1/2,y,-z+1/2 -x+1/4,y+1/4,z+1/4 x+1/2,y,z+1/2 x+3/4,y+1/4,-z+3/4 x,y+1/2,z+1/2 x+1/4,y+3/4,-z+3/4 -x+3/4,y+1/4,z+3/4 -x+1/2,y+1/2,-z -x+1/4,y+3/4,z+3/4 x+3/4,y+3/4,-z+1/4 -x,y,-z -x,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: I m m 2 international table number: 44 Hall symbol: I 2 -2 primitive Hall symbol: P 2z -2x 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z -x,y,z x,-y,z x+1/2,y+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 -x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: I 2 m m international table number: 44:cab Hall symbol: I -2 2 primitive Hall symbol: P -2z 2x 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y,-z x,-y,-z x,-y,z x+1/2,y+1/2,z+1/2 x+1/2,y+1/2,-z+1/2 x+1/2,-y+1/2,-z+1/2 x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: I m 2 m international table number: 44:bca Hall symbol: I -2 -2 primitive Hall symbol: P -2z -2x 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -2; primitive code: -2z order: 2 (improper axis); axisType: z operator: x,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y,-z -x,y,z -x,y,-z x+1/2,y+1/2,z+1/2 x+1/2,y+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 -x+1/2,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: I b a 2 international table number: 45 Hall symbol: I 2 -2c primitive Hall symbol: P 2z -2xc 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z -x,y,z+1/2 x,-y,z+1/2 x+1/2,y+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 -x+1/2,y+1/2,z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: I 2 c b international table number: 45:cab Hall symbol: I -2a 2 primitive Hall symbol: P -2za 2x 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -2a; primitive code: -2za order: 2 (improper axis); axisType: z; translation: a operator: x+1/2,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x+1/2,y,-z x,-y,-z x+1/2,-y,z x+1/2,y+1/2,z+1/2 x,y+1/2,-z+1/2 x+1/2,-y+1/2,-z+1/2 x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: I c 2 a international table number: 45:bca Hall symbol: I -2b -2b primitive Hall symbol: P -2zb -2xb 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -2b; primitive code: -2zb order: 2 (improper axis); axisType: z; translation: b operator: x,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2b; primitive code: -2xb order: 2 (improper axis); axisType: x; translation: b operator: -x,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y+1/2,-z -x,y+1/2,z -x,y,-z x+1/2,y+1/2,z+1/2 x+1/2,y,-z+1/2 -x+1/2,y,z+1/2 -x+1/2,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: I m a 2 international table number: 46 Hall symbol: I 2 -2a primitive Hall symbol: P 2z -2xa 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2a; primitive code: -2xa order: 2 (improper axis); axisType: x; translation: a operator: -x+1/2,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z -x+1/2,y,z x+1/2,-y,z x+1/2,y+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 -x,y+1/2,z+1/2 x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: I b m 2 international table number: 46:ba-c Hall symbol: I 2 -2b primitive Hall symbol: P 2z -2xb 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2b; primitive code: -2xb order: 2 (improper axis); axisType: x; translation: b operator: -x,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z -x,y+1/2,z x,-y+1/2,z x+1/2,y+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 -x+1/2,y,z+1/2 x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: I 2 m b international table number: 46:cab Hall symbol: I -2b 2 primitive Hall symbol: P -2zb 2x 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -2b; primitive code: -2zb order: 2 (improper axis); axisType: z; translation: b operator: x,y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y+1/2,-z x,-y,-z x,-y+1/2,z x+1/2,y+1/2,z+1/2 x+1/2,y,-z+1/2 x+1/2,-y+1/2,-z+1/2 x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: I 2 c m international table number: 46:-cba Hall symbol: I -2c 2 primitive Hall symbol: P -2zc 2x 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -2c; primitive code: -2zc order: 2 (improper axis); axisType: z; translation: c operator: x,y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y,-z+1/2 x,-y,-z x,-y,z+1/2 x+1/2,y+1/2,z+1/2 x+1/2,y+1/2,-z x+1/2,-y+1/2,-z+1/2 x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: I c 2 m international table number: 46:bca Hall symbol: I -2c -2c primitive Hall symbol: P -2zc -2xc 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -2c; primitive code: -2zc order: 2 (improper axis); axisType: z; translation: c operator: x,y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x,y,-z+1/2 -x,y,z+1/2 -x,y,-z x+1/2,y+1/2,z+1/2 x+1/2,y+1/2,-z -x+1/2,y+1/2,z -x+1/2,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: I m 2 a international table number: 46:a-cb Hall symbol: I -2a -2a primitive Hall symbol: P -2za -2xa 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -2a; primitive code: -2za order: 2 (improper axis); axisType: z; translation: a operator: x+1/2,y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2a; primitive code: -2xa order: 2 (improper axis); axisType: x; translation: a operator: -x+1/2,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z x+1/2,y,-z -x+1/2,y,z -x,y,-z x+1/2,y+1/2,z+1/2 x,y+1/2,-z+1/2 -x,y+1/2,z+1/2 -x+1/2,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: P m m m international table number: 47 Hall symbol: -P 2 2 primitive Hall symbol: P 2z 2x -1 lattice type: P: primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x,-y,-z -x,y,-z -x,-y,-z x,y,-z -x,y,z x,-y,z ---------------------- Hermann-Mauguin symbol: P n n n:1 international table number: 48:1 Hall symbol: P 2 2 -1n primitive Hall symbol: P 2z 2x -1n lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1n; primitive code: -1n order: 1 (improper axis); translation: n operator: -x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x,-y,-z -x,y,-z -x+1/2,-y+1/2,-z+1/2 x+1/2,y+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P n n n:2 international table number: 48:2 Hall symbol: -P 2ab 2bc primitive Hall symbol: P 2zab 2xbc -1 lattice type: P: primitive rotation term 1 input code: 2ab; primitive code: 2zab order: 2; axisType: z; translation: ab operator: -x+1/2,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2bc; primitive code: 2xbc order: 2; axisType: x; translation: bc operator: x,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y+1/2,z x,-y+1/2,-z+1/2 -x+1/2,y,-z+1/2 -x,-y,-z x+1/2,y+1/2,-z -x,y+1/2,z+1/2 x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P c c m international table number: 49 Hall symbol: -P 2 2c primitive Hall symbol: P 2z 2xc -1 lattice type: P: primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x,-y,-z+1/2 -x,y,-z+1/2 -x,-y,-z x,y,-z -x,y,z+1/2 x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P m a a international table number: 49:cab Hall symbol: -P 2a 2 primitive Hall symbol: P 2za 2x -1 lattice type: P: primitive rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z x,-y,-z -x+1/2,y,-z -x,-y,-z x+1/2,y,-z -x,y,z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: P b m b international table number: 49:bca Hall symbol: -P 2b 2b primitive Hall symbol: P 2zb 2xb -1 lattice type: P: primitive rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y+1/2,z x,-y+1/2,-z -x,y,-z -x,-y,-z x,y+1/2,-z -x,y+1/2,z x,-y,z ---------------------- Hermann-Mauguin symbol: P b a n:1 international table number: 50:1 Hall symbol: P 2 2 -1ab primitive Hall symbol: P 2z 2x -1ab lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1ab; primitive code: -1ab order: 1 (improper axis); translation: ab operator: -x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x,-y,-z -x,y,-z -x+1/2,-y+1/2,-z x+1/2,y+1/2,-z -x+1/2,y+1/2,z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P b a n:2 international table number: 50:2 Hall symbol: -P 2ab 2b primitive Hall symbol: P 2zab 2xb -1 lattice type: P: primitive rotation term 1 input code: 2ab; primitive code: 2zab order: 2; axisType: z; translation: ab operator: -x+1/2,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y+1/2,z x,-y+1/2,-z -x+1/2,y,-z -x,-y,-z x+1/2,y+1/2,-z -x,y+1/2,z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: P n c b:1 international table number: 50:1cab Hall symbol: P 2 2 -1bc primitive Hall symbol: P 2z 2x -1bc lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1bc; primitive code: -1bc order: 1 (improper axis); translation: bc operator: -x,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x,-y,-z -x,y,-z -x,-y+1/2,-z+1/2 x,y+1/2,-z+1/2 -x,y+1/2,z+1/2 x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P n c b:2 international table number: 50:2cab Hall symbol: -P 2b 2bc primitive Hall symbol: P 2zb 2xbc -1 lattice type: P: primitive rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2bc; primitive code: 2xbc order: 2; axisType: x; translation: bc operator: x,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y+1/2,z x,-y+1/2,-z+1/2 -x,y,-z+1/2 -x,-y,-z x,y+1/2,-z -x,y+1/2,z+1/2 x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P c n a:1 international table number: 50:1bca Hall symbol: P 2 2 -1ac primitive Hall symbol: P 2z 2x -1ac lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1ac; primitive code: -1ac order: 1 (improper axis); translation: ac operator: -x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x,-y,-z -x,y,-z -x+1/2,-y,-z+1/2 x+1/2,y,-z+1/2 -x+1/2,y,z+1/2 x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P c n a:2 international table number: 50:2bca Hall symbol: -P 2a 2c primitive Hall symbol: P 2za 2xc -1 lattice type: P: primitive rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z x,-y,-z+1/2 -x+1/2,y,-z+1/2 -x,-y,-z x+1/2,y,-z -x,y,z+1/2 x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P m m a international table number: 51 Hall symbol: -P 2a 2a primitive Hall symbol: P 2za 2xa -1 lattice type: P: primitive rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z x+1/2,-y,-z -x,y,-z -x,-y,-z x+1/2,y,-z -x+1/2,y,z x,-y,z ---------------------- Hermann-Mauguin symbol: P m m b international table number: 51:ba-c Hall symbol: -P 2b 2 primitive Hall symbol: P 2zb 2x -1 lattice type: P: primitive rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y+1/2,z x,-y,-z -x,y+1/2,-z -x,-y,-z x,y+1/2,-z -x,y,z x,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P b m m international table number: 51:cab Hall symbol: -P 2 2b primitive Hall symbol: P 2z 2xb -1 lattice type: P: primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x,-y+1/2,-z -x,y+1/2,-z -x,-y,-z x,y,-z -x,y+1/2,z x,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P c m m international table number: 51:-cba Hall symbol: -P 2c 2c primitive Hall symbol: P 2zc 2xc -1 lattice type: P: primitive rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z+1/2 x,-y,-z+1/2 -x,y,-z -x,-y,-z x,y,-z+1/2 -x,y,z+1/2 x,-y,z ---------------------- Hermann-Mauguin symbol: P m c m international table number: 51:bca Hall symbol: -P 2c 2 primitive Hall symbol: P 2zc 2x -1 lattice type: P: primitive rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z+1/2 x,-y,-z -x,y,-z+1/2 -x,-y,-z x,y,-z+1/2 -x,y,z x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P m a m international table number: 51:a-cb Hall symbol: -P 2 2a primitive Hall symbol: P 2z 2xa -1 lattice type: P: primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x+1/2,-y,-z -x+1/2,y,-z -x,-y,-z x,y,-z -x+1/2,y,z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: P n n a international table number: 52 Hall symbol: -P 2a 2bc primitive Hall symbol: P 2za 2xbc -1 lattice type: P: primitive rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2bc; primitive code: 2xbc order: 2; axisType: x; translation: bc operator: x,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z x,-y+1/2,-z+1/2 -x+1/2,y+1/2,-z+1/2 -x,-y,-z x+1/2,y,-z -x,y+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P n n b international table number: 52:ba-c Hall symbol: -P 2b 2n primitive Hall symbol: P 2zb 2xn -1 lattice type: P: primitive rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2n; primitive code: 2xn order: 2; axisType: x; translation: n operator: x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y+1/2,z x+1/2,-y+1/2,-z+1/2 -x+1/2,y,-z+1/2 -x,-y,-z x,y+1/2,-z -x+1/2,y+1/2,z+1/2 x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P b n n international table number: 52:cab Hall symbol: -P 2n 2b primitive Hall symbol: P 2zn 2xb -1 lattice type: P: primitive rotation term 1 input code: 2n; primitive code: 2zn order: 2; axisType: z; translation: n operator: -x+1/2,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y+1/2,z+1/2 x,-y+1/2,-z -x+1/2,y,-z+1/2 -x,-y,-z x+1/2,y+1/2,-z+1/2 -x,y+1/2,z x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P c n n international table number: 52:-cba Hall symbol: -P 2ab 2c primitive Hall symbol: P 2zab 2xc -1 lattice type: P: primitive rotation term 1 input code: 2ab; primitive code: 2zab order: 2; axisType: z; translation: ab operator: -x+1/2,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y+1/2,z x,-y,-z+1/2 -x+1/2,y+1/2,-z+1/2 -x,-y,-z x+1/2,y+1/2,-z -x,y,z+1/2 x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P n c n international table number: 52:bca Hall symbol: -P 2ab 2n primitive Hall symbol: P 2zab 2xn -1 lattice type: P: primitive rotation term 1 input code: 2ab; primitive code: 2zab order: 2; axisType: z; translation: ab operator: -x+1/2,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2n; primitive code: 2xn order: 2; axisType: x; translation: n operator: x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y+1/2,z x+1/2,-y+1/2,-z+1/2 -x,y,-z+1/2 -x,-y,-z x+1/2,y+1/2,-z -x+1/2,y+1/2,z+1/2 x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P n a n international table number: 52:a-cb Hall symbol: -P 2n 2bc primitive Hall symbol: P 2zn 2xbc -1 lattice type: P: primitive rotation term 1 input code: 2n; primitive code: 2zn order: 2; axisType: z; translation: n operator: -x+1/2,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2bc; primitive code: 2xbc order: 2; axisType: x; translation: bc operator: x,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y+1/2,z+1/2 x,-y+1/2,-z+1/2 -x+1/2,y,-z -x,-y,-z x+1/2,y+1/2,-z+1/2 -x,y+1/2,z+1/2 x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: P m n a international table number: 53 Hall symbol: -P 2ac 2 primitive Hall symbol: P 2zac 2x -1 lattice type: P: primitive rotation term 1 input code: 2ac; primitive code: 2zac order: 2; axisType: z; translation: ac operator: -x+1/2,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z+1/2 x,-y,-z -x+1/2,y,-z+1/2 -x,-y,-z x+1/2,y,-z+1/2 -x,y,z x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P n m b international table number: 53:ba-c Hall symbol: -P 2bc 2bc primitive Hall symbol: P 2zbc 2xbc -1 lattice type: P: primitive rotation term 1 input code: 2bc; primitive code: 2zbc order: 2; axisType: z; translation: bc operator: -x,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2bc; primitive code: 2xbc order: 2; axisType: x; translation: bc operator: x,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y+1/2,z+1/2 x,-y+1/2,-z+1/2 -x,y,-z -x,-y,-z x,y+1/2,-z+1/2 -x,y+1/2,z+1/2 x,-y,z ---------------------- Hermann-Mauguin symbol: P b m n international table number: 53:cab Hall symbol: -P 2ab 2ab primitive Hall symbol: P 2zab 2xab -1 lattice type: P: primitive rotation term 1 input code: 2ab; primitive code: 2zab order: 2; axisType: z; translation: ab operator: -x+1/2,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y+1/2,z x+1/2,-y+1/2,-z -x,y,-z -x,-y,-z x+1/2,y+1/2,-z -x+1/2,y+1/2,z x,-y,z ---------------------- Hermann-Mauguin symbol: P c n m international table number: 53:-cba Hall symbol: -P 2 2ac primitive Hall symbol: P 2z 2xac -1 lattice type: P: primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ac; primitive code: 2xac order: 2; axisType: x; translation: ac operator: x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x+1/2,-y,-z+1/2 -x+1/2,y,-z+1/2 -x,-y,-z x,y,-z -x+1/2,y,z+1/2 x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P n c m international table number: 53:bca Hall symbol: -P 2 2bc primitive Hall symbol: P 2z 2xbc -1 lattice type: P: primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2bc; primitive code: 2xbc order: 2; axisType: x; translation: bc operator: x,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x,-y+1/2,-z+1/2 -x,y+1/2,-z+1/2 -x,-y,-z x,y,-z -x,y+1/2,z+1/2 x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P m a n international table number: 53:a-cb Hall symbol: -P 2ab 2 primitive Hall symbol: P 2zab 2x -1 lattice type: P: primitive rotation term 1 input code: 2ab; primitive code: 2zab order: 2; axisType: z; translation: ab operator: -x+1/2,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y+1/2,z x,-y,-z -x+1/2,y+1/2,-z -x,-y,-z x+1/2,y+1/2,-z -x,y,z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P c c a international table number: 54 Hall symbol: -P 2a 2ac primitive Hall symbol: P 2za 2xac -1 lattice type: P: primitive rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ac; primitive code: 2xac order: 2; axisType: x; translation: ac operator: x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z x+1/2,-y,-z+1/2 -x,y,-z+1/2 -x,-y,-z x+1/2,y,-z -x+1/2,y,z+1/2 x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P c c b international table number: 54:ba-c Hall symbol: -P 2b 2c primitive Hall symbol: P 2zb 2xc -1 lattice type: P: primitive rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y+1/2,z x,-y,-z+1/2 -x,y+1/2,-z+1/2 -x,-y,-z x,y+1/2,-z -x,y,z+1/2 x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P b a a international table number: 54:cab Hall symbol: -P 2a 2b primitive Hall symbol: P 2za 2xb -1 lattice type: P: primitive rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z x,-y+1/2,-z -x+1/2,y+1/2,-z -x,-y,-z x+1/2,y,-z -x,y+1/2,z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P c a a international table number: 54:-cba Hall symbol: -P 2ac 2c primitive Hall symbol: P 2zac 2xc -1 lattice type: P: primitive rotation term 1 input code: 2ac; primitive code: 2zac order: 2; axisType: z; translation: ac operator: -x+1/2,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z+1/2 x,-y,-z+1/2 -x+1/2,y,-z -x,-y,-z x+1/2,y,-z+1/2 -x,y,z+1/2 x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: P b c b international table number: 54:bca Hall symbol: -P 2bc 2b primitive Hall symbol: P 2zbc 2xb -1 lattice type: P: primitive rotation term 1 input code: 2bc; primitive code: 2zbc order: 2; axisType: z; translation: bc operator: -x,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y+1/2,z+1/2 x,-y+1/2,-z -x,y,-z+1/2 -x,-y,-z x,y+1/2,-z+1/2 -x,y+1/2,z x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P b a b international table number: 54:a-cb Hall symbol: -P 2b 2ab primitive Hall symbol: P 2zb 2xab -1 lattice type: P: primitive rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y+1/2,z x+1/2,-y+1/2,-z -x+1/2,y,-z -x,-y,-z x,y+1/2,-z -x+1/2,y+1/2,z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: P b a m international table number: 55 Hall symbol: -P 2 2ab primitive Hall symbol: P 2z 2xab -1 lattice type: P: primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z -x,-y,-z x,y,-z -x+1/2,y+1/2,z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P m c b international table number: 55:cab Hall symbol: -P 2bc 2 primitive Hall symbol: P 2zbc 2x -1 lattice type: P: primitive rotation term 1 input code: 2bc; primitive code: 2zbc order: 2; axisType: z; translation: bc operator: -x,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y+1/2,z+1/2 x,-y,-z -x,y+1/2,-z+1/2 -x,-y,-z x,y+1/2,-z+1/2 -x,y,z x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P c m a international table number: 55:bca Hall symbol: -P 2ac 2ac primitive Hall symbol: P 2zac 2xac -1 lattice type: P: primitive rotation term 1 input code: 2ac; primitive code: 2zac order: 2; axisType: z; translation: ac operator: -x+1/2,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ac; primitive code: 2xac order: 2; axisType: x; translation: ac operator: x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z+1/2 x+1/2,-y,-z+1/2 -x,y,-z -x,-y,-z x+1/2,y,-z+1/2 -x+1/2,y,z+1/2 x,-y,z ---------------------- Hermann-Mauguin symbol: P c c n international table number: 56 Hall symbol: -P 2ab 2ac primitive Hall symbol: P 2zab 2xac -1 lattice type: P: primitive rotation term 1 input code: 2ab; primitive code: 2zab order: 2; axisType: z; translation: ab operator: -x+1/2,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ac; primitive code: 2xac order: 2; axisType: x; translation: ac operator: x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y+1/2,z x+1/2,-y,-z+1/2 -x,y+1/2,-z+1/2 -x,-y,-z x+1/2,y+1/2,-z -x+1/2,y,z+1/2 x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P n a a international table number: 56:cab Hall symbol: -P 2ac 2bc primitive Hall symbol: P 2zac 2xbc -1 lattice type: P: primitive rotation term 1 input code: 2ac; primitive code: 2zac order: 2; axisType: z; translation: ac operator: -x+1/2,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2bc; primitive code: 2xbc order: 2; axisType: x; translation: bc operator: x,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z+1/2 x,-y+1/2,-z+1/2 -x+1/2,y+1/2,-z -x,-y,-z x+1/2,y,-z+1/2 -x,y+1/2,z+1/2 x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P b n b international table number: 56:bca Hall symbol: -P 2bc 2ab primitive Hall symbol: P 2zbc 2xab -1 lattice type: P: primitive rotation term 1 input code: 2bc; primitive code: 2zbc order: 2; axisType: z; translation: bc operator: -x,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y+1/2,z+1/2 x+1/2,-y+1/2,-z -x+1/2,y,-z+1/2 -x,-y,-z x,y+1/2,-z+1/2 -x+1/2,y+1/2,z x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P b c m international table number: 57 Hall symbol: -P 2c 2b primitive Hall symbol: P 2zc 2xb -1 lattice type: P: primitive rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z+1/2 x,-y+1/2,-z -x,y+1/2,-z+1/2 -x,-y,-z x,y,-z+1/2 -x,y+1/2,z x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P c a m international table number: 57:ba-c Hall symbol: -P 2c 2ac primitive Hall symbol: P 2zc 2xac -1 lattice type: P: primitive rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ac; primitive code: 2xac order: 2; axisType: x; translation: ac operator: x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z+1/2 x+1/2,-y,-z+1/2 -x+1/2,y,-z -x,-y,-z x,y,-z+1/2 -x+1/2,y,z+1/2 x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: P m c a international table number: 57:cab Hall symbol: -P 2ac 2a primitive Hall symbol: P 2zac 2xa -1 lattice type: P: primitive rotation term 1 input code: 2ac; primitive code: 2zac order: 2; axisType: z; translation: ac operator: -x+1/2,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z+1/2 x+1/2,-y,-z -x,y,-z+1/2 -x,-y,-z x+1/2,y,-z+1/2 -x+1/2,y,z x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P m a b international table number: 57:-cba Hall symbol: -P 2b 2a primitive Hall symbol: P 2zb 2xa -1 lattice type: P: primitive rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y+1/2,z x+1/2,-y,-z -x+1/2,y+1/2,-z -x,-y,-z x,y+1/2,-z -x+1/2,y,z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P b m a international table number: 57:bca Hall symbol: -P 2a 2ab primitive Hall symbol: P 2za 2xab -1 lattice type: P: primitive rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z x+1/2,-y+1/2,-z -x,y+1/2,-z -x,-y,-z x+1/2,y,-z -x+1/2,y+1/2,z x,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P c m b international table number: 57:a-cb Hall symbol: -P 2bc 2c primitive Hall symbol: P 2zbc 2xc -1 lattice type: P: primitive rotation term 1 input code: 2bc; primitive code: 2zbc order: 2; axisType: z; translation: bc operator: -x,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y+1/2,z+1/2 x,-y,-z+1/2 -x,y+1/2,-z -x,-y,-z x,y+1/2,-z+1/2 -x,y,z+1/2 x,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P n n m international table number: 58 Hall symbol: -P 2 2n primitive Hall symbol: P 2z 2xn -1 lattice type: P: primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2n; primitive code: 2xn order: 2; axisType: x; translation: n operator: x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x+1/2,-y+1/2,-z+1/2 -x+1/2,y+1/2,-z+1/2 -x,-y,-z x,y,-z -x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P m n n international table number: 58:cab Hall symbol: -P 2n 2 primitive Hall symbol: P 2zn 2x -1 lattice type: P: primitive rotation term 1 input code: 2n; primitive code: 2zn order: 2; axisType: z; translation: n operator: -x+1/2,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y+1/2,z+1/2 x,-y,-z -x+1/2,y+1/2,-z+1/2 -x,-y,-z x+1/2,y+1/2,-z+1/2 -x,y,z x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P n m n international table number: 58:bca Hall symbol: -P 2n 2n primitive Hall symbol: P 2zn 2xn -1 lattice type: P: primitive rotation term 1 input code: 2n; primitive code: 2zn order: 2; axisType: z; translation: n operator: -x+1/2,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2n; primitive code: 2xn order: 2; axisType: x; translation: n operator: x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -x,y,-z -x,-y,-z x+1/2,y+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 x,-y,z ---------------------- Hermann-Mauguin symbol: P m m n:1 international table number: 59:1 Hall symbol: P 2 2ab -1ab primitive Hall symbol: P 2z 2xab -1ab lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1ab; primitive code: -1ab order: 1 (improper axis); translation: ab operator: -x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z -x+1/2,-y+1/2,-z x+1/2,y+1/2,-z -x,y,z x,-y,z ---------------------- Hermann-Mauguin symbol: P m m n:2 international table number: 59:2 Hall symbol: -P 2ab 2a primitive Hall symbol: P 2zab 2xa -1 lattice type: P: primitive rotation term 1 input code: 2ab; primitive code: 2zab order: 2; axisType: z; translation: ab operator: -x+1/2,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y+1/2,z x+1/2,-y,-z -x,y+1/2,-z -x,-y,-z x+1/2,y+1/2,-z -x+1/2,y,z x,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P n m m:1 international table number: 59:1cab Hall symbol: P 2bc 2 -1bc primitive Hall symbol: P 2zbc 2x -1bc lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2bc; primitive code: 2zbc order: 2; axisType: z; translation: bc operator: -x,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1bc; primitive code: -1bc order: 1 (improper axis); translation: bc operator: -x,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y+1/2,z+1/2 x,-y,-z -x,y+1/2,-z+1/2 -x,-y+1/2,-z+1/2 x,y,-z -x,y+1/2,z+1/2 x,-y,z ---------------------- Hermann-Mauguin symbol: P n m m:2 international table number: 59:2cab Hall symbol: -P 2c 2bc primitive Hall symbol: P 2zc 2xbc -1 lattice type: P: primitive rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2bc; primitive code: 2xbc order: 2; axisType: x; translation: bc operator: x,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z+1/2 x,-y+1/2,-z+1/2 -x,y+1/2,-z -x,-y,-z x,y,-z+1/2 -x,y+1/2,z+1/2 x,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P m n m:1 international table number: 59:1bca Hall symbol: P 2ac 2ac -1ac primitive Hall symbol: P 2zac 2xac -1ac lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2ac; primitive code: 2zac order: 2; axisType: z; translation: ac operator: -x+1/2,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ac; primitive code: 2xac order: 2; axisType: x; translation: ac operator: x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1ac; primitive code: -1ac order: 1 (improper axis); translation: ac operator: -x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z+1/2 x+1/2,-y,-z+1/2 -x,y,-z -x+1/2,-y,-z+1/2 x,y,-z -x,y,z x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P m n m:2 international table number: 59:2bca Hall symbol: -P 2c 2a primitive Hall symbol: P 2zc 2xa -1 lattice type: P: primitive rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z+1/2 x+1/2,-y,-z -x+1/2,y,-z+1/2 -x,-y,-z x,y,-z+1/2 -x+1/2,y,z x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P b c n international table number: 60 Hall symbol: -P 2n 2ab primitive Hall symbol: P 2zn 2xab -1 lattice type: P: primitive rotation term 1 input code: 2n; primitive code: 2zn order: 2; axisType: z; translation: n operator: -x+1/2,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y+1/2,z+1/2 x+1/2,-y+1/2,-z -x,y,-z+1/2 -x,-y,-z x+1/2,y+1/2,-z+1/2 -x+1/2,y+1/2,z x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P c a n international table number: 60:ba-c Hall symbol: -P 2n 2c primitive Hall symbol: P 2zn 2xc -1 lattice type: P: primitive rotation term 1 input code: 2n; primitive code: 2zn order: 2; axisType: z; translation: n operator: -x+1/2,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y+1/2,z+1/2 x,-y,-z+1/2 -x+1/2,y+1/2,-z -x,-y,-z x+1/2,y+1/2,-z+1/2 -x,y,z+1/2 x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P n c a international table number: 60:cab Hall symbol: -P 2a 2n primitive Hall symbol: P 2za 2xn -1 lattice type: P: primitive rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2n; primitive code: 2xn order: 2; axisType: x; translation: n operator: x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z x+1/2,-y+1/2,-z+1/2 -x,y+1/2,-z+1/2 -x,-y,-z x+1/2,y,-z -x+1/2,y+1/2,z+1/2 x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P n a b international table number: 60:-cba Hall symbol: -P 2bc 2n primitive Hall symbol: P 2zbc 2xn -1 lattice type: P: primitive rotation term 1 input code: 2bc; primitive code: 2zbc order: 2; axisType: z; translation: bc operator: -x,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2n; primitive code: 2xn order: 2; axisType: x; translation: n operator: x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -x+1/2,y,-z -x,-y,-z x,y+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: P b n a international table number: 60:bca Hall symbol: -P 2ac 2b primitive Hall symbol: P 2zac 2xb -1 lattice type: P: primitive rotation term 1 input code: 2ac; primitive code: 2zac order: 2; axisType: z; translation: ac operator: -x+1/2,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z+1/2 x,-y+1/2,-z -x+1/2,y+1/2,-z+1/2 -x,-y,-z x+1/2,y,-z+1/2 -x,y+1/2,z x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P c n b international table number: 60:a-cb Hall symbol: -P 2b 2ac primitive Hall symbol: P 2zb 2xac -1 lattice type: P: primitive rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ac; primitive code: 2xac order: 2; axisType: x; translation: ac operator: x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y+1/2,z x+1/2,-y,-z+1/2 -x+1/2,y+1/2,-z+1/2 -x,-y,-z x,y+1/2,-z -x+1/2,y,z+1/2 x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P b c a international table number: 61 Hall symbol: -P 2ac 2ab primitive Hall symbol: P 2zac 2xab -1 lattice type: P: primitive rotation term 1 input code: 2ac; primitive code: 2zac order: 2; axisType: z; translation: ac operator: -x+1/2,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z+1/2 x+1/2,-y+1/2,-z -x,y+1/2,-z+1/2 -x,-y,-z x+1/2,y,-z+1/2 -x+1/2,y+1/2,z x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P c a b international table number: 61:ba-c Hall symbol: -P 2bc 2ac primitive Hall symbol: P 2zbc 2xac -1 lattice type: P: primitive rotation term 1 input code: 2bc; primitive code: 2zbc order: 2; axisType: z; translation: bc operator: -x,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ac; primitive code: 2xac order: 2; axisType: x; translation: ac operator: x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y+1/2,z+1/2 x+1/2,-y,-z+1/2 -x+1/2,y+1/2,-z -x,-y,-z x,y+1/2,-z+1/2 -x+1/2,y,z+1/2 x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P n m a international table number: 62 Hall symbol: -P 2ac 2n primitive Hall symbol: P 2zac 2xn -1 lattice type: P: primitive rotation term 1 input code: 2ac; primitive code: 2zac order: 2; axisType: z; translation: ac operator: -x+1/2,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2n; primitive code: 2xn order: 2; axisType: x; translation: n operator: x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y,z+1/2 x+1/2,-y+1/2,-z+1/2 -x,y+1/2,-z -x,-y,-z x+1/2,y,-z+1/2 -x+1/2,y+1/2,z+1/2 x,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P m n b international table number: 62:ba-c Hall symbol: -P 2bc 2a primitive Hall symbol: P 2zbc 2xa -1 lattice type: P: primitive rotation term 1 input code: 2bc; primitive code: 2zbc order: 2; axisType: z; translation: bc operator: -x,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y+1/2,z+1/2 x+1/2,-y,-z -x+1/2,y+1/2,-z+1/2 -x,-y,-z x,y+1/2,-z+1/2 -x+1/2,y,z x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P b n m international table number: 62:cab Hall symbol: -P 2c 2ab primitive Hall symbol: P 2zc 2xab -1 lattice type: P: primitive rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z+1/2 x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z+1/2 -x,-y,-z x,y,-z+1/2 -x+1/2,y+1/2,z x+1/2,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P c m n international table number: 62:-cba Hall symbol: -P 2n 2ac primitive Hall symbol: P 2zn 2xac -1 lattice type: P: primitive rotation term 1 input code: 2n; primitive code: 2zn order: 2; axisType: z; translation: n operator: -x+1/2,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ac; primitive code: 2xac order: 2; axisType: x; translation: ac operator: x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y+1/2,z+1/2 x+1/2,-y,-z+1/2 -x,y+1/2,-z -x,-y,-z x+1/2,y+1/2,-z+1/2 -x+1/2,y,z+1/2 x,-y+1/2,z ---------------------- Hermann-Mauguin symbol: P m c n international table number: 62:bca Hall symbol: -P 2n 2a primitive Hall symbol: P 2zn 2xa -1 lattice type: P: primitive rotation term 1 input code: 2n; primitive code: 2zn order: 2; axisType: z; translation: n operator: -x+1/2,-y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x+1/2,-y+1/2,z+1/2 x+1/2,-y,-z -x,y+1/2,-z+1/2 -x,-y,-z x+1/2,y+1/2,-z+1/2 -x+1/2,y,z x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P n a m international table number: 62:a-cb Hall symbol: -P 2c 2n primitive Hall symbol: P 2zc 2xn -1 lattice type: P: primitive rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2n; primitive code: 2xn order: 2; axisType: x; translation: n operator: x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -x,-y,z+1/2 x+1/2,-y+1/2,-z+1/2 -x+1/2,y+1/2,-z -x,-y,-z x,y,-z+1/2 -x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: C m c m international table number: 63 Hall symbol: -C 2c 2 primitive Hall symbol: P 2zc 2x 1ab -1 lattice type: C: C-centered rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z+1/2 x,-y,-z -x,y,-z+1/2 x+1/2,y+1/2,z -x+1/2,-y+1/2,z+1/2 x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z+1/2 -x+1/2,-y+1/2,-z x+1/2,y+1/2,-z+1/2 -x+1/2,y+1/2,z x+1/2,-y+1/2,z+1/2 -x,-y,-z x,y,-z+1/2 -x,y,z x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: C c m m international table number: 63:ba-c Hall symbol: -C 2c 2c primitive Hall symbol: P 2zc 2xc 1ab -1 lattice type: C: C-centered rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z+1/2 x,-y,-z+1/2 -x,y,-z x+1/2,y+1/2,z -x+1/2,-y+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -x+1/2,y+1/2,-z -x+1/2,-y+1/2,-z x+1/2,y+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z -x,-y,-z x,y,-z+1/2 -x,y,z+1/2 x,-y,z ---------------------- Hermann-Mauguin symbol: A m m a international table number: 63:cab Hall symbol: -A 2a 2a primitive Hall symbol: P 2za 2xa 1bc -1 lattice type: A: A-centered rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x+1/2,-y,z x+1/2,-y,-z -x,y,-z x,y+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -x,y+1/2,-z+1/2 -x,-y+1/2,-z+1/2 x+1/2,y+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 x,-y+1/2,z+1/2 -x,-y,-z x+1/2,y,-z -x+1/2,y,z x,-y,z ---------------------- Hermann-Mauguin symbol: A m a m international table number: 63:-cba Hall symbol: -A 2 2a primitive Hall symbol: P 2z 2xa 1bc -1 lattice type: A: A-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x+1/2,-y,-z -x+1/2,y,-z x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -x+1/2,y+1/2,-z+1/2 -x,-y+1/2,-z+1/2 x,y+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 -x,-y,-z x,y,-z -x+1/2,y,z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: B b m m international table number: 63:bca Hall symbol: -B 2 2b primitive Hall symbol: P 2z 2xb 1ac -1 lattice type: B: B-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x,-y+1/2,-z -x,y+1/2,-z x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 x+1/2,-y+1/2,-z+1/2 -x+1/2,y+1/2,-z+1/2 -x+1/2,-y,-z+1/2 x+1/2,y,-z+1/2 -x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 -x,-y,-z x,y,-z -x,y+1/2,z x,-y+1/2,z ---------------------- Hermann-Mauguin symbol: B m m b international table number: 63:a-cb Hall symbol: -B 2b 2 primitive Hall symbol: P 2zb 2x 1ac -1 lattice type: B: B-centered rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y+1/2,z x,-y,-z -x,y+1/2,-z x+1/2,y,z+1/2 -x+1/2,-y+1/2,z+1/2 x+1/2,-y,-z+1/2 -x+1/2,y+1/2,-z+1/2 -x+1/2,-y,-z+1/2 x+1/2,y+1/2,-z+1/2 -x+1/2,y,z+1/2 x+1/2,-y+1/2,z+1/2 -x,-y,-z x,y+1/2,-z -x,y,z x,-y+1/2,z ---------------------- Hermann-Mauguin symbol: C m c a international table number: 64 Hall symbol: -C 2ac 2 primitive Hall symbol: P 2zac 2x 1ab -1 lattice type: C: C-centered rotation term 1 input code: 2ac; primitive code: 2zac order: 2; axisType: z; translation: ac operator: -x+1/2,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x+1/2,-y,z+1/2 x,-y,-z -x+1/2,y,-z+1/2 x+1/2,y+1/2,z -x,-y+1/2,z+1/2 x+1/2,-y+1/2,-z -x,y+1/2,-z+1/2 -x+1/2,-y+1/2,-z x,y+1/2,-z+1/2 -x+1/2,y+1/2,z x,-y+1/2,z+1/2 -x,-y,-z x+1/2,y,-z+1/2 -x,y,z x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: C c m b international table number: 64:ba-c Hall symbol: -C 2ac 2ac primitive Hall symbol: P 2zac 2xac 1ab -1 lattice type: C: C-centered rotation term 1 input code: 2ac; primitive code: 2zac order: 2; axisType: z; translation: ac operator: -x+1/2,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ac; primitive code: 2xac order: 2; axisType: x; translation: ac operator: x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x+1/2,-y,z+1/2 x+1/2,-y,-z+1/2 -x,y,-z x+1/2,y+1/2,z -x,-y+1/2,z+1/2 x,-y+1/2,-z+1/2 -x+1/2,y+1/2,-z -x+1/2,-y+1/2,-z x,y+1/2,-z+1/2 -x,y+1/2,z+1/2 x+1/2,-y+1/2,z -x,-y,-z x+1/2,y,-z+1/2 -x+1/2,y,z+1/2 x,-y,z ---------------------- Hermann-Mauguin symbol: A b m a international table number: 64:cab Hall symbol: -A 2ab 2ab primitive Hall symbol: P 2zab 2xab 1bc -1 lattice type: A: A-centered rotation term 1 input code: 2ab; primitive code: 2zab order: 2; axisType: z; translation: ab operator: -x+1/2,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x+1/2,-y+1/2,z x+1/2,-y+1/2,-z -x,y,-z x,y+1/2,z+1/2 -x+1/2,-y,z+1/2 x+1/2,-y,-z+1/2 -x,y+1/2,-z+1/2 -x,-y+1/2,-z+1/2 x+1/2,y,-z+1/2 -x+1/2,y,z+1/2 x,-y+1/2,z+1/2 -x,-y,-z x+1/2,y+1/2,-z -x+1/2,y+1/2,z x,-y,z ---------------------- Hermann-Mauguin symbol: A c a m international table number: 64:-cba Hall symbol: -A 2 2ab primitive Hall symbol: P 2z 2xab 1bc -1 lattice type: A: A-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 x+1/2,-y,-z+1/2 -x+1/2,y,-z+1/2 -x,-y+1/2,-z+1/2 x,y+1/2,-z+1/2 -x+1/2,y,z+1/2 x+1/2,-y,z+1/2 -x,-y,-z x,y,-z -x+1/2,y+1/2,z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: B b c m international table number: 64:bca Hall symbol: -B 2 2ab primitive Hall symbol: P 2z 2xab 1ac -1 lattice type: B: B-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 x,-y+1/2,-z+1/2 -x,y+1/2,-z+1/2 -x+1/2,-y,-z+1/2 x+1/2,y,-z+1/2 -x,y+1/2,z+1/2 x,-y+1/2,z+1/2 -x,-y,-z x,y,-z -x+1/2,y+1/2,z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: B m a b international table number: 64:a-cb Hall symbol: -B 2ab 2 primitive Hall symbol: P 2zab 2x 1ac -1 lattice type: B: B-centered rotation term 1 input code: 2ab; primitive code: 2zab order: 2; axisType: z; translation: ab operator: -x+1/2,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x+1/2,-y+1/2,z x,-y,-z -x+1/2,y+1/2,-z x+1/2,y,z+1/2 -x,-y+1/2,z+1/2 x+1/2,-y,-z+1/2 -x,y+1/2,-z+1/2 -x+1/2,-y,-z+1/2 x,y+1/2,-z+1/2 -x+1/2,y,z+1/2 x,-y+1/2,z+1/2 -x,-y,-z x+1/2,y+1/2,-z -x,y,z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: C m m m international table number: 65 Hall symbol: -C 2 2 primitive Hall symbol: P 2z 2x 1ab -1 lattice type: C: C-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x,-y,-z -x,y,-z x+1/2,y+1/2,z -x+1/2,-y+1/2,z x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z -x+1/2,-y+1/2,-z x+1/2,y+1/2,-z -x+1/2,y+1/2,z x+1/2,-y+1/2,z -x,-y,-z x,y,-z -x,y,z x,-y,z ---------------------- Hermann-Mauguin symbol: A m m m international table number: 65:cab Hall symbol: -A 2 2 primitive Hall symbol: P 2z 2x 1bc -1 lattice type: A: A-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x,-y,-z -x,y,-z x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 x,-y+1/2,-z+1/2 -x,y+1/2,-z+1/2 -x,-y+1/2,-z+1/2 x,y+1/2,-z+1/2 -x,y+1/2,z+1/2 x,-y+1/2,z+1/2 -x,-y,-z x,y,-z -x,y,z x,-y,z ---------------------- Hermann-Mauguin symbol: B m m m international table number: 65:bca Hall symbol: -B 2 2 primitive Hall symbol: P 2z 2x 1ac -1 lattice type: B: B-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x,-y,-z -x,y,-z x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 x+1/2,-y,-z+1/2 -x+1/2,y,-z+1/2 -x+1/2,-y,-z+1/2 x+1/2,y,-z+1/2 -x+1/2,y,z+1/2 x+1/2,-y,z+1/2 -x,-y,-z x,y,-z -x,y,z x,-y,z ---------------------- Hermann-Mauguin symbol: C c c m international table number: 66 Hall symbol: -C 2 2c primitive Hall symbol: P 2z 2xc 1ab -1 lattice type: C: C-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x,-y,-z+1/2 -x,y,-z+1/2 x+1/2,y+1/2,z -x+1/2,-y+1/2,z x+1/2,-y+1/2,-z+1/2 -x+1/2,y+1/2,-z+1/2 -x+1/2,-y+1/2,-z x+1/2,y+1/2,-z -x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 -x,-y,-z x,y,-z -x,y,z+1/2 x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: A m a a international table number: 66:cab Hall symbol: -A 2a 2 primitive Hall symbol: P 2za 2x 1bc -1 lattice type: A: A-centered rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x+1/2,-y,z x,-y,-z -x+1/2,y,-z x,y+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 x,-y+1/2,-z+1/2 -x+1/2,y+1/2,-z+1/2 -x,-y+1/2,-z+1/2 x+1/2,y+1/2,-z+1/2 -x,y+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 -x,-y,-z x+1/2,y,-z -x,y,z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: B b m b international table number: 66:bca Hall symbol: -B 2b 2b primitive Hall symbol: P 2zb 2xb 1ac -1 lattice type: B: B-centered rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y+1/2,z x,-y+1/2,-z -x,y,-z x+1/2,y,z+1/2 -x+1/2,-y+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -x+1/2,y,-z+1/2 -x+1/2,-y,-z+1/2 x+1/2,y+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 x+1/2,-y,z+1/2 -x,-y,-z x,y+1/2,-z -x,y+1/2,z x,-y,z ---------------------- Hermann-Mauguin symbol: C m m a international table number: 67 Hall symbol: -C 2a 2 primitive Hall symbol: P 2za 2x 1ab -1 lattice type: C: C-centered rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x+1/2,-y,z x,-y,-z -x+1/2,y,-z x+1/2,y+1/2,z -x,-y+1/2,z x+1/2,-y+1/2,-z -x,y+1/2,-z -x+1/2,-y+1/2,-z x,y+1/2,-z -x+1/2,y+1/2,z x,-y+1/2,z -x,-y,-z x+1/2,y,-z -x,y,z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: C m m b international table number: 67:ba-c Hall symbol: -C 2a 2a primitive Hall symbol: P 2za 2xa 1ab -1 lattice type: C: C-centered rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x+1/2,-y,z x+1/2,-y,-z -x,y,-z x+1/2,y+1/2,z -x,-y+1/2,z x,-y+1/2,-z -x+1/2,y+1/2,-z -x+1/2,-y+1/2,-z x,y+1/2,-z -x,y+1/2,z x+1/2,-y+1/2,z -x,-y,-z x+1/2,y,-z -x+1/2,y,z x,-y,z ---------------------- Hermann-Mauguin symbol: A b m m international table number: 67:cab Hall symbol: -A 2b 2b primitive Hall symbol: P 2zb 2xb 1bc -1 lattice type: A: A-centered rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y+1/2,z x,-y+1/2,-z -x,y,-z x,y+1/2,z+1/2 -x,-y,z+1/2 x,-y,-z+1/2 -x,y+1/2,-z+1/2 -x,-y+1/2,-z+1/2 x,y,-z+1/2 -x,y,z+1/2 x,-y+1/2,z+1/2 -x,-y,-z x,y+1/2,-z -x,y+1/2,z x,-y,z ---------------------- Hermann-Mauguin symbol: A c m m international table number: 67:-cba Hall symbol: -A 2 2b primitive Hall symbol: P 2z 2xb 1bc -1 lattice type: A: A-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x,-y+1/2,-z -x,y+1/2,-z x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 x,-y,-z+1/2 -x,y,-z+1/2 -x,-y+1/2,-z+1/2 x,y+1/2,-z+1/2 -x,y,z+1/2 x,-y,z+1/2 -x,-y,-z x,y,-z -x,y+1/2,z x,-y+1/2,z ---------------------- Hermann-Mauguin symbol: B m c m international table number: 67:bca Hall symbol: -B 2 2a primitive Hall symbol: P 2z 2xa 1ac -1 lattice type: B: B-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x+1/2,-y,-z -x+1/2,y,-z x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 x,-y,-z+1/2 -x,y,-z+1/2 -x+1/2,-y,-z+1/2 x+1/2,y,-z+1/2 -x,y,z+1/2 x,-y,z+1/2 -x,-y,-z x,y,-z -x+1/2,y,z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: B m a m international table number: 67:a-cb Hall symbol: -B 2a 2 primitive Hall symbol: P 2za 2x 1ac -1 lattice type: B: B-centered rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x+1/2,-y,z x,-y,-z -x+1/2,y,-z x+1/2,y,z+1/2 -x,-y,z+1/2 x+1/2,-y,-z+1/2 -x,y,-z+1/2 -x+1/2,-y,-z+1/2 x,y,-z+1/2 -x+1/2,y,z+1/2 x,-y,z+1/2 -x,-y,-z x+1/2,y,-z -x,y,z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: C c c a:1 international table number: 68:1 Hall symbol: C 2 2 -1ac primitive Hall symbol: P 2z 2x -1ac 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1ac; primitive code: -1ac order: 1 (improper axis); translation: ac operator: -x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x,-y,-z -x,y,-z -x+1/2,-y,-z+1/2 x+1/2,y,-z+1/2 -x+1/2,y,z+1/2 x+1/2,-y,z+1/2 -x,-y+1/2,-z+1/2 x,y+1/2,-z+1/2 -x,y+1/2,z+1/2 x,-y+1/2,z+1/2 x+1/2,y+1/2,z -x+1/2,-y+1/2,z x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z ---------------------- Hermann-Mauguin symbol: C c c a:2 international table number: 68:2 Hall symbol: -C 2a 2ac primitive Hall symbol: P 2za 2xac 1ab -1 lattice type: C: C-centered rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ac; primitive code: 2xac order: 2; axisType: x; translation: ac operator: x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x+1/2,-y,z x+1/2,-y,-z+1/2 -x,y,-z+1/2 x+1/2,y+1/2,z -x,-y+1/2,z x,-y+1/2,-z+1/2 -x+1/2,y+1/2,-z+1/2 -x+1/2,-y+1/2,-z x,y+1/2,-z -x,y+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 -x,-y,-z x+1/2,y,-z -x+1/2,y,z+1/2 x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: C c c b:1 international table number: 68:1ba-c Hall symbol: C 2 2 -1ac primitive Hall symbol: P 2z 2x -1ac 1ab lattice type: -C: centrosymmetric C-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1ac; primitive code: -1ac order: 1 (improper axis); translation: ac operator: -x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x,-y,-z -x,y,-z -x+1/2,-y,-z+1/2 x+1/2,y,-z+1/2 -x+1/2,y,z+1/2 x+1/2,-y,z+1/2 -x,-y+1/2,-z+1/2 x,y+1/2,-z+1/2 -x,y+1/2,z+1/2 x,-y+1/2,z+1/2 x+1/2,y+1/2,z -x+1/2,-y+1/2,z x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z ---------------------- Hermann-Mauguin symbol: C c c b:2 international table number: 68:2ba-c Hall symbol: -C 2a 2c primitive Hall symbol: P 2za 2xc 1ab -1 lattice type: C: C-centered rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x+1/2,-y,z x,-y,-z+1/2 -x+1/2,y,-z+1/2 x+1/2,y+1/2,z -x,-y+1/2,z x+1/2,-y+1/2,-z+1/2 -x,y+1/2,-z+1/2 -x+1/2,-y+1/2,-z x,y+1/2,-z -x+1/2,y+1/2,z+1/2 x,-y+1/2,z+1/2 -x,-y,-z x+1/2,y,-z -x,y,z+1/2 x+1/2,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: A b a a:1 international table number: 68:1cab Hall symbol: A 2 2 -1ab primitive Hall symbol: P 2z 2x -1ab 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1ab; primitive code: -1ab order: 1 (improper axis); translation: ab operator: -x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x,-y,-z -x,y,-z -x+1/2,-y+1/2,-z x+1/2,y+1/2,-z -x+1/2,y+1/2,z x+1/2,-y+1/2,z -x+1/2,-y,-z+1/2 x+1/2,y,-z+1/2 -x+1/2,y,z+1/2 x+1/2,-y,z+1/2 x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 x,-y+1/2,-z+1/2 -x,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: A b a a:2 international table number: 68:2cab Hall symbol: -A 2a 2b primitive Hall symbol: P 2za 2xb 1bc -1 lattice type: A: A-centered rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x+1/2,-y,z x,-y+1/2,-z -x+1/2,y+1/2,-z x,y+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 x,-y,-z+1/2 -x+1/2,y,-z+1/2 -x,-y+1/2,-z+1/2 x+1/2,y+1/2,-z+1/2 -x,y,z+1/2 x+1/2,-y,z+1/2 -x,-y,-z x+1/2,y,-z -x,y+1/2,z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: A c a a:1 international table number: 68:1-cba Hall symbol: A 2 2 -1ab primitive Hall symbol: P 2z 2x -1ab 1bc lattice type: -A: centrosymmetric A-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1ab; primitive code: -1ab order: 1 (improper axis); translation: ab operator: -x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x,-y,-z -x,y,-z -x+1/2,-y+1/2,-z x+1/2,y+1/2,-z -x+1/2,y+1/2,z x+1/2,-y+1/2,z -x+1/2,-y,-z+1/2 x+1/2,y,-z+1/2 -x+1/2,y,z+1/2 x+1/2,-y,z+1/2 x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 x,-y+1/2,-z+1/2 -x,y+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: A c a a:2 international table number: 68:2-cba Hall symbol: -A 2ab 2b primitive Hall symbol: P 2zab 2xb 1bc -1 lattice type: A: A-centered rotation term 1 input code: 2ab; primitive code: 2zab order: 2; axisType: z; translation: ab operator: -x+1/2,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x+1/2,-y+1/2,z x,-y+1/2,-z -x+1/2,y,-z x,y+1/2,z+1/2 -x+1/2,-y,z+1/2 x,-y,-z+1/2 -x+1/2,y+1/2,-z+1/2 -x,-y+1/2,-z+1/2 x+1/2,y,-z+1/2 -x,y,z+1/2 x+1/2,-y+1/2,z+1/2 -x,-y,-z x+1/2,y+1/2,-z -x,y+1/2,z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: B b c b:1 international table number: 68:1bca Hall symbol: B 2 2 -1ab primitive Hall symbol: P 2z 2x -1ab 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1ab; primitive code: -1ab order: 1 (improper axis); translation: ab operator: -x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x,-y,-z -x,y,-z -x+1/2,-y+1/2,-z x+1/2,y+1/2,-z -x+1/2,y+1/2,z x+1/2,-y+1/2,z -x,-y+1/2,-z+1/2 x,y+1/2,-z+1/2 -x,y+1/2,z+1/2 x,-y+1/2,z+1/2 x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 x+1/2,-y,-z+1/2 -x+1/2,y,-z+1/2 ---------------------- Hermann-Mauguin symbol: B b c b:2 international table number: 68:2bca Hall symbol: -B 2ab 2b primitive Hall symbol: P 2zab 2xb 1ac -1 lattice type: B: B-centered rotation term 1 input code: 2ab; primitive code: 2zab order: 2; axisType: z; translation: ab operator: -x+1/2,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x+1/2,-y+1/2,z x,-y+1/2,-z -x+1/2,y,-z x+1/2,y,z+1/2 -x,-y+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -x,y,-z+1/2 -x+1/2,-y,-z+1/2 x,y+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 x,-y,z+1/2 -x,-y,-z x+1/2,y+1/2,-z -x,y+1/2,z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: B b a b:1 international table number: 68:1a-cb Hall symbol: B 2 2 -1ab primitive Hall symbol: P 2z 2x -1ab 1ac lattice type: -B: centrosymmetric B-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1ab; primitive code: -1ab order: 1 (improper axis); translation: ab operator: -x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x,-y,-z -x,y,-z -x+1/2,-y+1/2,-z x+1/2,y+1/2,-z -x+1/2,y+1/2,z x+1/2,-y+1/2,z -x,-y+1/2,-z+1/2 x,y+1/2,-z+1/2 -x,y+1/2,z+1/2 x,-y+1/2,z+1/2 x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 x+1/2,-y,-z+1/2 -x+1/2,y,-z+1/2 ---------------------- Hermann-Mauguin symbol: B b a b:2 international table number: 68:2a-cb Hall symbol: -B 2b 2ab primitive Hall symbol: P 2zb 2xab 1ac -1 lattice type: B: B-centered rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y+1/2,z x+1/2,-y+1/2,-z -x+1/2,y,-z x+1/2,y,z+1/2 -x+1/2,-y+1/2,z+1/2 x,-y+1/2,-z+1/2 -x,y,-z+1/2 -x+1/2,-y,-z+1/2 x+1/2,y+1/2,-z+1/2 -x,y+1/2,z+1/2 x,-y,z+1/2 -x,-y,-z x,y+1/2,-z -x+1/2,y+1/2,z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: F m m m international table number: 69 Hall symbol: -F 2 2 primitive Hall symbol: P 2z 2x 1ab 1bc 1ac -1 lattice type: F: face-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 6 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (32): x,y,z -x,-y,z x,-y,-z -x,y,-z x+1/2,y+1/2,z -x+1/2,-y+1/2,z x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 x+1/2,-y,-z+1/2 -x+1/2,y,-z+1/2 x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 x,-y+1/2,-z+1/2 -x,y+1/2,-z+1/2 -x,-y,-z x,y,-z -x,y,z x,-y,z -x+1/2,-y+1/2,-z x+1/2,y+1/2,-z -x+1/2,y+1/2,z x+1/2,-y+1/2,z -x+1/2,-y,-z+1/2 x+1/2,y,-z+1/2 -x+1/2,y,z+1/2 x+1/2,-y,z+1/2 -x,-y+1/2,-z+1/2 x,y+1/2,-z+1/2 -x,y+1/2,z+1/2 x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: F d d d:1 international table number: 70:1 Hall symbol: F 2 2 -1d primitive Hall symbol: P 2z 2x -1d 1ab 1bc 1ac lattice type: -F: centrosymmetric face-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1d; primitive code: -1d order: 1 (improper axis); translation: d operator: -x+1/4,-y+1/4,-z+1/4 Seitz matrix(12ths): [ [-1.0 0.0 0.0 3.0] [0.0 -1.0 0.0 3.0] [0.0 0.0 -1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 6 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (32): x,y,z -x,-y,z x,-y,-z -x,y,-z -x+1/4,-y+1/4,-z+1/4 x+1/4,y+1/4,-z+1/4 -x+1/4,y+1/4,z+1/4 x+1/4,-y+1/4,z+1/4 -x+3/4,-y+3/4,-z+1/4 x+3/4,y+3/4,-z+1/4 -x+3/4,y+3/4,z+1/4 x+3/4,-y+3/4,z+1/4 x+1/2,y+1/2,z -x+1/2,-y+1/2,z x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z -x+3/4,-y+1/4,-z+3/4 x+3/4,y+1/4,-z+3/4 -x+3/4,y+1/4,z+3/4 x+3/4,-y+1/4,z+3/4 x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 x+1/2,-y,-z+1/2 -x+1/2,y,-z+1/2 x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 x,-y+1/2,-z+1/2 -x,y+1/2,-z+1/2 -x+1/4,-y+3/4,-z+3/4 x+1/4,y+3/4,-z+3/4 -x+1/4,y+3/4,z+3/4 x+1/4,-y+3/4,z+3/4 ---------------------- Hermann-Mauguin symbol: F d d d:2 international table number: 70:2 Hall symbol: -F 2uv 2vw primitive Hall symbol: P 2zuv 2xvw 1ab 1bc 1ac -1 lattice type: F: face-centered rotation term 1 input code: 2uv; primitive code: 2zuv order: 2; axisType: z; translation: uv operator: -x+1/4,-y+1/4,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 3.0] [0.0 -1.0 0.0 3.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2vw; primitive code: 2xvw order: 2; axisType: x; translation: vw operator: x,-y+1/4,-z+1/4 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 3.0] [0.0 0.0 -1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 6 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (32): x,y,z -x+1/4,-y+1/4,z x,-y+1/4,-z+1/4 -x+1/4,y,-z+1/4 x+1/2,y+1/2,z -x+3/4,-y+3/4,z x+1/2,-y+3/4,-z+1/4 -x+3/4,y+1/2,-z+1/4 x+1/2,y,z+1/2 -x+3/4,-y+1/4,z+1/2 x+1/2,-y+1/4,-z+3/4 -x+3/4,y,-z+3/4 x,y+1/2,z+1/2 -x+1/4,-y+3/4,z+1/2 x,-y+3/4,-z+3/4 -x+1/4,y+1/2,-z+3/4 -x,-y,-z x+3/4,y+3/4,-z -x,y+3/4,z+3/4 x+3/4,-y,z+3/4 -x+1/2,-y+1/2,-z x+1/4,y+1/4,-z -x+1/2,y+1/4,z+3/4 x+1/4,-y+1/2,z+3/4 -x+1/2,-y,-z+1/2 x+1/4,y+3/4,-z+1/2 -x+1/2,y+3/4,z+1/4 x+1/4,-y,z+1/4 -x,-y+1/2,-z+1/2 x+3/4,y+1/4,-z+1/2 -x,y+1/4,z+1/4 x+3/4,-y+1/2,z+1/4 ---------------------- Hermann-Mauguin symbol: I m m m international table number: 71 Hall symbol: -I 2 2 primitive Hall symbol: P 2z 2x 1n -1 lattice type: I: body-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x,-y,-z -x,y,-z x+1/2,y+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -x+1/2,y+1/2,-z+1/2 -x+1/2,-y+1/2,-z+1/2 x+1/2,y+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 -x,-y,-z x,y,-z -x,y,z x,-y,z ---------------------- Hermann-Mauguin symbol: I b a m international table number: 72 Hall symbol: -I 2 2c primitive Hall symbol: P 2z 2xc 1n -1 lattice type: I: body-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x,-y,-z+1/2 -x,y,-z+1/2 x+1/2,y+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z -x+1/2,-y+1/2,-z+1/2 x+1/2,y+1/2,-z+1/2 -x+1/2,y+1/2,z x+1/2,-y+1/2,z -x,-y,-z x,y,-z -x,y,z+1/2 x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: I m c b international table number: 72:cab Hall symbol: -I 2a 2 primitive Hall symbol: P 2za 2x 1n -1 lattice type: I: body-centered rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x+1/2,-y,z x,-y,-z -x+1/2,y,-z x+1/2,y+1/2,z+1/2 -x,-y+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -x,y+1/2,-z+1/2 -x+1/2,-y+1/2,-z+1/2 x,y+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 x,-y+1/2,z+1/2 -x,-y,-z x+1/2,y,-z -x,y,z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: I c m a international table number: 72:bca Hall symbol: -I 2b 2b primitive Hall symbol: P 2zb 2xb 1n -1 lattice type: I: body-centered rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y+1/2,z x,-y+1/2,-z -x,y,-z x+1/2,y+1/2,z+1/2 -x+1/2,-y,z+1/2 x+1/2,-y,-z+1/2 -x+1/2,y+1/2,-z+1/2 -x+1/2,-y+1/2,-z+1/2 x+1/2,y,-z+1/2 -x+1/2,y,z+1/2 x+1/2,-y+1/2,z+1/2 -x,-y,-z x,y+1/2,-z -x,y+1/2,z x,-y,z ---------------------- Hermann-Mauguin symbol: I b c a international table number: 73 Hall symbol: -I 2b 2c primitive Hall symbol: P 2zb 2xc 1n -1 lattice type: I: body-centered rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y+1/2,z x,-y,-z+1/2 -x,y+1/2,-z+1/2 x+1/2,y+1/2,z+1/2 -x+1/2,-y,z+1/2 x+1/2,-y+1/2,-z -x+1/2,y,-z -x+1/2,-y+1/2,-z+1/2 x+1/2,y,-z+1/2 -x+1/2,y+1/2,z x+1/2,-y,z -x,-y,-z x,y+1/2,-z -x,y,z+1/2 x,-y+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: I c a b international table number: 73:ba-c Hall symbol: -I 2a 2b primitive Hall symbol: P 2za 2xb 1n -1 lattice type: I: body-centered rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x+1/2,-y,z x,-y+1/2,-z -x+1/2,y+1/2,-z x+1/2,y+1/2,z+1/2 -x,-y+1/2,z+1/2 x+1/2,-y,-z+1/2 -x,y,-z+1/2 -x+1/2,-y+1/2,-z+1/2 x,y+1/2,-z+1/2 -x+1/2,y,z+1/2 x,-y,z+1/2 -x,-y,-z x+1/2,y,-z -x,y+1/2,z x+1/2,-y+1/2,z ---------------------- Hermann-Mauguin symbol: I m m a international table number: 74 Hall symbol: -I 2b 2 primitive Hall symbol: P 2zb 2x 1n -1 lattice type: I: body-centered rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y+1/2,z x,-y,-z -x,y+1/2,-z x+1/2,y+1/2,z+1/2 -x+1/2,-y,z+1/2 x+1/2,-y+1/2,-z+1/2 -x+1/2,y,-z+1/2 -x+1/2,-y+1/2,-z+1/2 x+1/2,y,-z+1/2 -x+1/2,y+1/2,z+1/2 x+1/2,-y,z+1/2 -x,-y,-z x,y+1/2,-z -x,y,z x,-y+1/2,z ---------------------- Hermann-Mauguin symbol: I m m b international table number: 74:ba-c Hall symbol: -I 2a 2a primitive Hall symbol: P 2za 2xa 1n -1 lattice type: I: body-centered rotation term 1 input code: 2a; primitive code: 2za order: 2; axisType: z; translation: a operator: -x+1/2,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x+1/2,-y,z x+1/2,-y,-z -x,y,-z x+1/2,y+1/2,z+1/2 -x,-y+1/2,z+1/2 x,-y+1/2,-z+1/2 -x+1/2,y+1/2,-z+1/2 -x+1/2,-y+1/2,-z+1/2 x,y+1/2,-z+1/2 -x,y+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 -x,-y,-z x+1/2,y,-z -x+1/2,y,z x,-y,z ---------------------- Hermann-Mauguin symbol: I b m m international table number: 74:cab Hall symbol: -I 2c 2c primitive Hall symbol: P 2zc 2xc 1n -1 lattice type: I: body-centered rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z+1/2 x,-y,-z+1/2 -x,y,-z x+1/2,y+1/2,z+1/2 -x+1/2,-y+1/2,z x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z+1/2 -x+1/2,-y+1/2,-z+1/2 x+1/2,y+1/2,-z -x+1/2,y+1/2,z x+1/2,-y+1/2,z+1/2 -x,-y,-z x,y,-z+1/2 -x,y,z+1/2 x,-y,z ---------------------- Hermann-Mauguin symbol: I c m m international table number: 74:-cba Hall symbol: -I 2 2b primitive Hall symbol: P 2z 2xb 1n -1 lattice type: I: body-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x,-y+1/2,-z -x,y+1/2,-z x+1/2,y+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 x+1/2,-y,-z+1/2 -x+1/2,y,-z+1/2 -x+1/2,-y+1/2,-z+1/2 x+1/2,y+1/2,-z+1/2 -x+1/2,y,z+1/2 x+1/2,-y,z+1/2 -x,-y,-z x,y,-z -x,y+1/2,z x,-y+1/2,z ---------------------- Hermann-Mauguin symbol: I m c m international table number: 74:bca Hall symbol: -I 2 2a primitive Hall symbol: P 2z 2xa 1n -1 lattice type: I: body-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z x+1/2,-y,-z -x+1/2,y,-z x+1/2,y+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 x,-y+1/2,-z+1/2 -x,y+1/2,-z+1/2 -x+1/2,-y+1/2,-z+1/2 x+1/2,y+1/2,-z+1/2 -x,y+1/2,z+1/2 x,-y+1/2,z+1/2 -x,-y,-z x,y,-z -x+1/2,y,z x+1/2,-y,z ---------------------- Hermann-Mauguin symbol: I m a m international table number: 74:a-cb Hall symbol: -I 2c 2 primitive Hall symbol: P 2zc 2x 1n -1 lattice type: I: body-centered rotation term 1 input code: 2c; primitive code: 2zc order: 2; axisType: z; translation: c operator: -x,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -x,-y,z+1/2 x,-y,-z -x,y,-z+1/2 x+1/2,y+1/2,z+1/2 -x+1/2,-y+1/2,z x+1/2,-y+1/2,-z+1/2 -x+1/2,y+1/2,-z -x+1/2,-y+1/2,-z+1/2 x+1/2,y+1/2,-z -x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z -x,-y,-z x,y,-z+1/2 -x,y,z x,-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 4 international table number: 75 Hall symbol: P 4 primitive Hall symbol: P 4z lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -y,x,z -x,-y,z y,-x,z ---------------------- Hermann-Mauguin symbol: P 41 international table number: 76 Hall symbol: P 4w primitive Hall symbol: P 4zw lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4w; primitive code: 4zw order: 4; axisType: z; translation: w operator: -y,x,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -y,x,z+1/4 -x,-y,z+1/2 y,-x,z+3/4 ---------------------- Hermann-Mauguin symbol: P 41 international table number: 76 Hall symbol: P 41 primitive Hall symbol: P 4z1 lattice type: -P: centrosymmetric primitive rotation term 1 input code: 41; primitive code: 4z1 order: 4; axisType: z; translation: 1 operator: -y,x,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -y,x,z+1/4 -x,-y,z+1/2 y,-x,z+3/4 ---------------------- Hermann-Mauguin symbol: P 42 international table number: 77 Hall symbol: P 4c primitive Hall symbol: P 4zc lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4c; primitive code: 4zc order: 4; axisType: z; translation: c operator: -y,x,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -y,x,z+1/2 -x,-y,z y,-x,z+1/2 ---------------------- Hermann-Mauguin symbol: P 42 international table number: 77 Hall symbol: P 42 primitive Hall symbol: P 4z lattice type: -P: centrosymmetric primitive rotation term 1 input code: 42; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -y,x,z -x,-y,z y,-x,z ---------------------- Hermann-Mauguin symbol: P 43 international table number: 78 Hall symbol: P 4cw primitive Hall symbol: P 4zcw lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4cw; primitive code: 4zcw order: 4; axisType: z; translation: cw operator: -y,x,z+3/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 9.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -y,x,z+3/4 -x,-y,z+1/2 y,-x,z+1/4 ---------------------- Hermann-Mauguin symbol: P 43 international table number: 78 Hall symbol: P 43 primitive Hall symbol: P 4z3 lattice type: -P: centrosymmetric primitive rotation term 1 input code: 43; primitive code: 4z3 order: 4; axisType: z; translation: 3 operator: -y,x,z+3/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 9.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z -y,x,z+3/4 -x,-y,z+1/2 y,-x,z+1/4 ---------------------- Hermann-Mauguin symbol: I 4 international table number: 79 Hall symbol: I 4 primitive Hall symbol: P 4z 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z -x,-y,z y,-x,z x+1/2,y+1/2,z+1/2 -y+1/2,x+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 y+1/2,-x+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: I 41 international table number: 80 Hall symbol: I 4bw primitive Hall symbol: P 4zbw 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 4bw; primitive code: 4zbw order: 4; axisType: z; translation: bw operator: -y,x+1/2,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x+1/2,z+1/4 -x+1/2,-y+1/2,z+1/2 y+1/2,-x,z+3/4 x+1/2,y+1/2,z+1/2 -y+1/2,x,z+3/4 -x,-y,z y,-x+1/2,z+1/4 ---------------------- Hermann-Mauguin symbol: P -4 international table number: 81 Hall symbol: P -4 primitive Hall symbol: P -4z lattice type: -P: centrosymmetric primitive rotation term 1 input code: -4; primitive code: -4z order: 4 (improper axis); axisType: z operator: y,-x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (4): x,y,z y,-x,-z -x,-y,z -y,x,-z ---------------------- Hermann-Mauguin symbol: I -4 international table number: 82 Hall symbol: I -4 primitive Hall symbol: P -4z 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -4; primitive code: -4z order: 4 (improper axis); axisType: z operator: y,-x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z y,-x,-z -x,-y,z -y,x,-z x+1/2,y+1/2,z+1/2 y+1/2,-x+1/2,-z+1/2 -x+1/2,-y+1/2,z+1/2 -y+1/2,x+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: P 4/m international table number: 83 Hall symbol: -P 4 primitive Hall symbol: P 4z -1 lattice type: P: primitive rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z -x,-y,z y,-x,z -x,-y,-z y,-x,-z x,y,-z -y,x,-z ---------------------- Hermann-Mauguin symbol: P 42/m international table number: 84 Hall symbol: -P 4c primitive Hall symbol: P 4zc -1 lattice type: P: primitive rotation term 1 input code: 4c; primitive code: 4zc order: 4; axisType: z; translation: c operator: -y,x,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z+1/2 -x,-y,z y,-x,z+1/2 -x,-y,-z y,-x,-z+1/2 x,y,-z -y,x,-z+1/2 ---------------------- Hermann-Mauguin symbol: P 42/m international table number: 84 Hall symbol: -P 42 primitive Hall symbol: P 4z -1 lattice type: P: primitive rotation term 1 input code: 42; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z -x,-y,z y,-x,z -x,-y,-z y,-x,-z x,y,-z -y,x,-z ---------------------- Hermann-Mauguin symbol: P 4/n:1 international table number: 85:1 Hall symbol: P 4ab -1ab primitive Hall symbol: P 4zab -1ab lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4ab; primitive code: 4zab order: 4; axisType: z; translation: ab operator: -y+1/2,x+1/2,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1ab; primitive code: -1ab order: 1 (improper axis); translation: ab operator: -x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y+1/2,x+1/2,z -x,-y,z y+1/2,-x+1/2,z -x+1/2,-y+1/2,-z y,-x,-z x+1/2,y+1/2,-z -y,x,-z ---------------------- Hermann-Mauguin symbol: P 4/n:2 international table number: 85:2 Hall symbol: -P 4a primitive Hall symbol: P 4za -1 lattice type: P: primitive rotation term 1 input code: 4a; primitive code: 4za order: 4; axisType: z; translation: a operator: -y+1/2,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y+1/2,x,z -x+1/2,-y+1/2,z y,-x+1/2,z -x,-y,-z y+1/2,-x,-z x+1/2,y+1/2,-z -y,x+1/2,-z ---------------------- Hermann-Mauguin symbol: P 42/n:1 international table number: 86:1 Hall symbol: P 4n -1n primitive Hall symbol: P 4zn -1n lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4n; primitive code: 4zn order: 4; axisType: z; translation: n operator: -y+1/2,x+1/2,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1n; primitive code: -1n order: 1 (improper axis); translation: n operator: -x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y+1/2,x+1/2,z+1/2 -x,-y,z y+1/2,-x+1/2,z+1/2 -x+1/2,-y+1/2,-z+1/2 y,-x,-z x+1/2,y+1/2,-z+1/2 -y,x,-z ---------------------- Hermann-Mauguin symbol: P 42/n:2 international table number: 86:2 Hall symbol: -P 4bc primitive Hall symbol: P 4zbc -1 lattice type: P: primitive rotation term 1 input code: 4bc; primitive code: 4zbc order: 4; axisType: z; translation: bc operator: -y,x+1/2,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x+1/2,z+1/2 -x+1/2,-y+1/2,z y+1/2,-x,z+1/2 -x,-y,-z y,-x+1/2,-z+1/2 x+1/2,y+1/2,-z -y+1/2,x,-z+1/2 ---------------------- Hermann-Mauguin symbol: I 4/m international table number: 87 Hall symbol: -I 4 primitive Hall symbol: P 4z 1n -1 lattice type: I: body-centered rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y,x,z -x,-y,z y,-x,z x+1/2,y+1/2,z+1/2 -y+1/2,x+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 y+1/2,-x+1/2,z+1/2 -x+1/2,-y+1/2,-z+1/2 y+1/2,-x+1/2,-z+1/2 x+1/2,y+1/2,-z+1/2 -y+1/2,x+1/2,-z+1/2 -x,-y,-z y,-x,-z x,y,-z -y,x,-z ---------------------- Hermann-Mauguin symbol: I 41/a:1 international table number: 88:1 Hall symbol: I 4bw -1bw primitive Hall symbol: P 4zbw -1bw 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 4bw; primitive code: 4zbw order: 4; axisType: z; translation: bw operator: -y,x+1/2,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1bw; primitive code: -1bw order: 1 (improper axis); translation: bw operator: -x,-y+1/2,-z+1/4 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y,x+1/2,z+1/4 -x+1/2,-y+1/2,z+1/2 y+1/2,-x,z+3/4 -x,-y+1/2,-z+1/4 y,-x,-z x+1/2,y,-z+3/4 -y+1/2,x+1/2,-z+1/2 -x+1/2,-y,-z+3/4 y+1/2,-x+1/2,-z+1/2 x,y+1/2,-z+1/4 -y,x,-z x+1/2,y+1/2,z+1/2 -y+1/2,x,z+3/4 -x,-y,z y,-x+1/2,z+1/4 ---------------------- Hermann-Mauguin symbol: I 41/a:2 international table number: 88:2 Hall symbol: -I 4ad primitive Hall symbol: P 4zad 1n -1 lattice type: I: body-centered rotation term 1 input code: 4ad; primitive code: 4zad order: 4; axisType: z; translation: ad operator: -y+3/4,x+1/4,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 9.0] [1.0 0.0 0.0 3.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y+3/4,x+1/4,z+1/4 -x+1/2,-y,z+1/2 y+3/4,-x+3/4,z+3/4 x+1/2,y+1/2,z+1/2 -y+1/4,x+3/4,z+3/4 -x,-y+1/2,z y+1/4,-x+1/4,z+1/4 -x+1/2,-y+1/2,-z+1/2 y+3/4,-x+1/4,-z+1/4 x,y+1/2,-z -y+3/4,x+3/4,-z+3/4 -x,-y,-z y+1/4,-x+3/4,-z+3/4 x+1/2,y,-z+1/2 -y+1/4,x+1/4,-z+1/4 ---------------------- Hermann-Mauguin symbol: P 4 2 2 international table number: 89 Hall symbol: P 4 2 primitive Hall symbol: P 4z 2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z -x,-y,z y,-x,z x,-y,-z -y,-x,-z -x,y,-z y,x,-z ---------------------- Hermann-Mauguin symbol: P 4 21 2 international table number: 90 Hall symbol: P 4ab 2ab primitive Hall symbol: P 4zab 2xab lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4ab; primitive code: 4zab order: 4; axisType: z; translation: ab operator: -y+1/2,x+1/2,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y+1/2,x+1/2,z -x,-y,z y+1/2,-x+1/2,z x+1/2,-y+1/2,-z -y,-x,-z -x+1/2,y+1/2,-z y,x,-z ---------------------- Hermann-Mauguin symbol: P 41 2 2 international table number: 91 Hall symbol: P 4w 2c primitive Hall symbol: P 4zw 2xc lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4w; primitive code: 4zw order: 4; axisType: z; translation: w operator: -y,x,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z+1/4 -x,-y,z+1/2 y,-x,z+3/4 x,-y,-z+1/2 -y,-x,-z+1/4 -x,y,-z y,x,-z+3/4 ---------------------- Hermann-Mauguin symbol: P 41 2 2 international table number: 91 Hall symbol: P 41 2c primitive Hall symbol: P 4z1 2xc lattice type: -P: centrosymmetric primitive rotation term 1 input code: 41; primitive code: 4z1 order: 4; axisType: z; translation: 1 operator: -y,x,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z+1/4 -x,-y,z+1/2 y,-x,z+3/4 x,-y,-z+1/2 -y,-x,-z+1/4 -x,y,-z y,x,-z+3/4 ---------------------- Hermann-Mauguin symbol: P 41 21 2 international table number: 92 Hall symbol: P 4abw 2nw primitive Hall symbol: P 4zabw 2xnw lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4abw; primitive code: 4zabw order: 4; axisType: z; translation: abw operator: -y+1/2,x+1/2,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2nw; primitive code: 2xnw order: 2; axisType: x; translation: nw operator: x+1/2,-y+1/2,-z+3/4 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 9.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y+1/2,x+1/2,z+1/4 -x,-y,z+1/2 y+1/2,-x+1/2,z+3/4 x+1/2,-y+1/2,-z+3/4 -y,-x,-z+1/2 -x+1/2,y+1/2,-z+1/4 y,x,-z ---------------------- Hermann-Mauguin symbol: P 42 2 2 international table number: 93 Hall symbol: P 4c 2 primitive Hall symbol: P 4zc 2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4c; primitive code: 4zc order: 4; axisType: z; translation: c operator: -y,x,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z+1/2 -x,-y,z y,-x,z+1/2 x,-y,-z -y,-x,-z+1/2 -x,y,-z y,x,-z+1/2 ---------------------- Hermann-Mauguin symbol: P 42 2 2 international table number: 93 Hall symbol: P 42 2 primitive Hall symbol: P 4z 2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: 42; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z -x,-y,z y,-x,z x,-y,-z -y,-x,-z -x,y,-z y,x,-z ---------------------- Hermann-Mauguin symbol: P 42 21 2 international table number: 94 Hall symbol: P 4n 2n primitive Hall symbol: P 4zn 2xn lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4n; primitive code: 4zn order: 4; axisType: z; translation: n operator: -y+1/2,x+1/2,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2n; primitive code: 2xn order: 2; axisType: x; translation: n operator: x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y+1/2,x+1/2,z+1/2 -x,-y,z y+1/2,-x+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -y,-x,-z -x+1/2,y+1/2,-z+1/2 y,x,-z ---------------------- Hermann-Mauguin symbol: P 43 2 2 international table number: 95 Hall symbol: P 4cw 2c primitive Hall symbol: P 4zcw 2xc lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4cw; primitive code: 4zcw order: 4; axisType: z; translation: cw operator: -y,x,z+3/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 9.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z+3/4 -x,-y,z+1/2 y,-x,z+1/4 x,-y,-z+1/2 -y,-x,-z+3/4 -x,y,-z y,x,-z+1/4 ---------------------- Hermann-Mauguin symbol: P 43 2 2 international table number: 95 Hall symbol: P 43 2c primitive Hall symbol: P 4z3 2xc lattice type: -P: centrosymmetric primitive rotation term 1 input code: 43; primitive code: 4z3 order: 4; axisType: z; translation: 3 operator: -y,x,z+3/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 9.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z+3/4 -x,-y,z+1/2 y,-x,z+1/4 x,-y,-z+1/2 -y,-x,-z+3/4 -x,y,-z y,x,-z+1/4 ---------------------- Hermann-Mauguin symbol: P 43 21 2 international table number: 96 Hall symbol: P 4nw 2abw primitive Hall symbol: P 4znw 2xabw lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4nw; primitive code: 4znw order: 4; axisType: z; translation: nw operator: -y+1/2,x+1/2,z+3/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 9.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2abw; primitive code: 2xabw order: 2; axisType: x; translation: abw operator: x+1/2,-y+1/2,-z+1/4 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 3.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y+1/2,x+1/2,z+3/4 -x,-y,z+1/2 y+1/2,-x+1/2,z+1/4 x+1/2,-y+1/2,-z+1/4 -y,-x,-z+1/2 -x+1/2,y+1/2,-z+3/4 y,x,-z ---------------------- Hermann-Mauguin symbol: I 4 2 2 international table number: 97 Hall symbol: I 4 2 primitive Hall symbol: P 4z 2x 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y,x,z -x,-y,z y,-x,z x,-y,-z -y,-x,-z -x,y,-z y,x,-z x+1/2,y+1/2,z+1/2 -y+1/2,x+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 y+1/2,-x+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -y+1/2,-x+1/2,-z+1/2 -x+1/2,y+1/2,-z+1/2 y+1/2,x+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: I 41 2 2 international table number: 98 Hall symbol: I 4bw 2bw primitive Hall symbol: P 4zbw 2xbw 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 4bw; primitive code: 4zbw order: 4; axisType: z; translation: bw operator: -y,x+1/2,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2bw; primitive code: 2xbw order: 2; axisType: x; translation: bw operator: x,-y+1/2,-z+1/4 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y,x+1/2,z+1/4 -x+1/2,-y+1/2,z+1/2 y+1/2,-x,z+3/4 x,-y+1/2,-z+1/4 -y,-x,-z -x+1/2,y,-z+3/4 y+1/2,x+1/2,-z+1/2 x+1/2,y+1/2,z+1/2 -y+1/2,x,z+3/4 -x,-y,z y,-x+1/2,z+1/4 x+1/2,-y,-z+3/4 -y+1/2,-x+1/2,-z+1/2 -x,y+1/2,-z+1/4 y,x,-z ---------------------- Hermann-Mauguin symbol: P 4 m m international table number: 99 Hall symbol: P 4 -2 primitive Hall symbol: P 4z -2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z -x,-y,z y,-x,z -x,y,z y,x,z x,-y,z -y,-x,z ---------------------- Hermann-Mauguin symbol: P 4 b m international table number: 100 Hall symbol: P 4 -2ab primitive Hall symbol: P 4z -2xab lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2ab; primitive code: -2xab order: 2 (improper axis); axisType: x; translation: ab operator: -x+1/2,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z -x,-y,z y,-x,z -x+1/2,y+1/2,z y+1/2,x+1/2,z x+1/2,-y+1/2,z -y+1/2,-x+1/2,z ---------------------- Hermann-Mauguin symbol: P 42 c m international table number: 101 Hall symbol: P 4c -2c primitive Hall symbol: P 4zc -2xc lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4c; primitive code: 4zc order: 4; axisType: z; translation: c operator: -y,x,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z+1/2 -x,-y,z y,-x,z+1/2 -x,y,z+1/2 y,x,z x,-y,z+1/2 -y,-x,z ---------------------- Hermann-Mauguin symbol: P 42 c m international table number: 101 Hall symbol: P 42 -2c primitive Hall symbol: P 4z -2xc lattice type: -P: centrosymmetric primitive rotation term 1 input code: 42; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z -x,-y,z y,-x,z -x,y,z+1/2 y,x,z+1/2 x,-y,z+1/2 -y,-x,z+1/2 ---------------------- Hermann-Mauguin symbol: P 42 n m international table number: 102 Hall symbol: P 4n -2n primitive Hall symbol: P 4zn -2xn lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4n; primitive code: 4zn order: 4; axisType: z; translation: n operator: -y+1/2,x+1/2,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2n; primitive code: -2xn order: 2 (improper axis); axisType: x; translation: n operator: -x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y+1/2,x+1/2,z+1/2 -x,-y,z y+1/2,-x+1/2,z+1/2 -x+1/2,y+1/2,z+1/2 y,x,z x+1/2,-y+1/2,z+1/2 -y,-x,z ---------------------- Hermann-Mauguin symbol: P 4 c c international table number: 103 Hall symbol: P 4 -2c primitive Hall symbol: P 4z -2xc lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z -x,-y,z y,-x,z -x,y,z+1/2 y,x,z+1/2 x,-y,z+1/2 -y,-x,z+1/2 ---------------------- Hermann-Mauguin symbol: P 4 n c international table number: 104 Hall symbol: P 4 -2n primitive Hall symbol: P 4z -2xn lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2n; primitive code: -2xn order: 2 (improper axis); axisType: x; translation: n operator: -x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z -x,-y,z y,-x,z -x+1/2,y+1/2,z+1/2 y+1/2,x+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 -y+1/2,-x+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 42 m c international table number: 105 Hall symbol: P 4c -2 primitive Hall symbol: P 4zc -2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4c; primitive code: 4zc order: 4; axisType: z; translation: c operator: -y,x,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z+1/2 -x,-y,z y,-x,z+1/2 -x,y,z y,x,z+1/2 x,-y,z -y,-x,z+1/2 ---------------------- Hermann-Mauguin symbol: P 42 m c international table number: 105 Hall symbol: P 42 -2 primitive Hall symbol: P 4z -2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: 42; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z -x,-y,z y,-x,z -x,y,z y,x,z x,-y,z -y,-x,z ---------------------- Hermann-Mauguin symbol: P 42 b c international table number: 106 Hall symbol: P 4c -2ab primitive Hall symbol: P 4zc -2xab lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4c; primitive code: 4zc order: 4; axisType: z; translation: c operator: -y,x,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2ab; primitive code: -2xab order: 2 (improper axis); axisType: x; translation: ab operator: -x+1/2,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z+1/2 -x,-y,z y,-x,z+1/2 -x+1/2,y+1/2,z y+1/2,x+1/2,z+1/2 x+1/2,-y+1/2,z -y+1/2,-x+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 42 b c international table number: 106 Hall symbol: P 42 -2ab primitive Hall symbol: P 4z -2xab lattice type: -P: centrosymmetric primitive rotation term 1 input code: 42; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2ab; primitive code: -2xab order: 2 (improper axis); axisType: x; translation: ab operator: -x+1/2,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z -y,x,z -x,-y,z y,-x,z -x+1/2,y+1/2,z y+1/2,x+1/2,z x+1/2,-y+1/2,z -y+1/2,-x+1/2,z ---------------------- Hermann-Mauguin symbol: I 4 m m international table number: 107 Hall symbol: I 4 -2 primitive Hall symbol: P 4z -2x 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y,x,z -x,-y,z y,-x,z -x,y,z y,x,z x,-y,z -y,-x,z x+1/2,y+1/2,z+1/2 -y+1/2,x+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 y+1/2,-x+1/2,z+1/2 -x+1/2,y+1/2,z+1/2 y+1/2,x+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 -y+1/2,-x+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: I 4 c m international table number: 108 Hall symbol: I 4 -2c primitive Hall symbol: P 4z -2xc 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y,x,z -x,-y,z y,-x,z -x,y,z+1/2 y,x,z+1/2 x,-y,z+1/2 -y,-x,z+1/2 x+1/2,y+1/2,z+1/2 -y+1/2,x+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 y+1/2,-x+1/2,z+1/2 -x+1/2,y+1/2,z y+1/2,x+1/2,z x+1/2,-y+1/2,z -y+1/2,-x+1/2,z ---------------------- Hermann-Mauguin symbol: I 41 m d international table number: 109 Hall symbol: I 4bw -2 primitive Hall symbol: P 4zbw -2x 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 4bw; primitive code: 4zbw order: 4; axisType: z; translation: bw operator: -y,x+1/2,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y,x+1/2,z+1/4 -x+1/2,-y+1/2,z+1/2 y+1/2,-x,z+3/4 -x,y,z y,x+1/2,z+1/4 x+1/2,-y+1/2,z+1/2 -y+1/2,-x,z+3/4 x+1/2,y+1/2,z+1/2 -y+1/2,x,z+3/4 -x,-y,z y,-x+1/2,z+1/4 -x+1/2,y+1/2,z+1/2 y+1/2,x,z+3/4 x,-y,z -y,-x+1/2,z+1/4 ---------------------- Hermann-Mauguin symbol: I 41 c d international table number: 110 Hall symbol: I 4bw -2c primitive Hall symbol: P 4zbw -2xc 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 4bw; primitive code: 4zbw order: 4; axisType: z; translation: bw operator: -y,x+1/2,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y,x+1/2,z+1/4 -x+1/2,-y+1/2,z+1/2 y+1/2,-x,z+3/4 -x,y,z+1/2 y,x+1/2,z+3/4 x+1/2,-y+1/2,z -y+1/2,-x,z+1/4 x+1/2,y+1/2,z+1/2 -y+1/2,x,z+3/4 -x,-y,z y,-x+1/2,z+1/4 -x+1/2,y+1/2,z y+1/2,x,z+1/4 x,-y,z+1/2 -y,-x+1/2,z+3/4 ---------------------- Hermann-Mauguin symbol: P -4 2 m international table number: 111 Hall symbol: P -4 2 primitive Hall symbol: P -4z 2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: -4; primitive code: -4z order: 4 (improper axis); axisType: z operator: y,-x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z y,-x,-z -x,-y,z -y,x,-z x,-y,-z y,x,z -x,y,-z -y,-x,z ---------------------- Hermann-Mauguin symbol: P -4 2 c international table number: 112 Hall symbol: P -4 2c primitive Hall symbol: P -4z 2xc lattice type: -P: centrosymmetric primitive rotation term 1 input code: -4; primitive code: -4z order: 4 (improper axis); axisType: z operator: y,-x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z y,-x,-z -x,-y,z -y,x,-z x,-y,-z+1/2 y,x,z+1/2 -x,y,-z+1/2 -y,-x,z+1/2 ---------------------- Hermann-Mauguin symbol: P -4 21 m international table number: 113 Hall symbol: P -4 2ab primitive Hall symbol: P -4z 2xab lattice type: -P: centrosymmetric primitive rotation term 1 input code: -4; primitive code: -4z order: 4 (improper axis); axisType: z operator: y,-x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z y,-x,-z -x,-y,z -y,x,-z x+1/2,-y+1/2,-z y+1/2,x+1/2,z -x+1/2,y+1/2,-z -y+1/2,-x+1/2,z ---------------------- Hermann-Mauguin symbol: P -4 21 c international table number: 114 Hall symbol: P -4 2n primitive Hall symbol: P -4z 2xn lattice type: -P: centrosymmetric primitive rotation term 1 input code: -4; primitive code: -4z order: 4 (improper axis); axisType: z operator: y,-x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2n; primitive code: 2xn order: 2; axisType: x; translation: n operator: x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z y,-x,-z -x,-y,z -y,x,-z x+1/2,-y+1/2,-z+1/2 y+1/2,x+1/2,z+1/2 -x+1/2,y+1/2,-z+1/2 -y+1/2,-x+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P -4 m 2 international table number: 115 Hall symbol: P -4 -2 primitive Hall symbol: P -4z -2x lattice type: -P: centrosymmetric primitive rotation term 1 input code: -4; primitive code: -4z order: 4 (improper axis); axisType: z operator: y,-x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z y,-x,-z -x,-y,z -y,x,-z -x,y,z -y,-x,-z x,-y,z y,x,-z ---------------------- Hermann-Mauguin symbol: P -4 c 2 international table number: 116 Hall symbol: P -4 -2c primitive Hall symbol: P -4z -2xc lattice type: -P: centrosymmetric primitive rotation term 1 input code: -4; primitive code: -4z order: 4 (improper axis); axisType: z operator: y,-x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z y,-x,-z -x,-y,z -y,x,-z -x,y,z+1/2 -y,-x,-z+1/2 x,-y,z+1/2 y,x,-z+1/2 ---------------------- Hermann-Mauguin symbol: P -4 b 2 international table number: 117 Hall symbol: P -4 -2ab primitive Hall symbol: P -4z -2xab lattice type: -P: centrosymmetric primitive rotation term 1 input code: -4; primitive code: -4z order: 4 (improper axis); axisType: z operator: y,-x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2ab; primitive code: -2xab order: 2 (improper axis); axisType: x; translation: ab operator: -x+1/2,y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z y,-x,-z -x,-y,z -y,x,-z -x+1/2,y+1/2,z -y+1/2,-x+1/2,-z x+1/2,-y+1/2,z y+1/2,x+1/2,-z ---------------------- Hermann-Mauguin symbol: P -4 n 2 international table number: 118 Hall symbol: P -4 -2n primitive Hall symbol: P -4z -2xn lattice type: -P: centrosymmetric primitive rotation term 1 input code: -4; primitive code: -4z order: 4 (improper axis); axisType: z operator: y,-x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2n; primitive code: -2xn order: 2 (improper axis); axisType: x; translation: n operator: -x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (8): x,y,z y,-x,-z -x,-y,z -y,x,-z -x+1/2,y+1/2,z+1/2 -y+1/2,-x+1/2,-z+1/2 x+1/2,-y+1/2,z+1/2 y+1/2,x+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: I -4 m 2 international table number: 119 Hall symbol: I -4 -2 primitive Hall symbol: P -4z -2x 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -4; primitive code: -4z order: 4 (improper axis); axisType: z operator: y,-x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2x order: 2 (improper axis); axisType: x operator: -x,y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z y,-x,-z -x,-y,z -y,x,-z -x,y,z -y,-x,-z x,-y,z y,x,-z x+1/2,y+1/2,z+1/2 y+1/2,-x+1/2,-z+1/2 -x+1/2,-y+1/2,z+1/2 -y+1/2,x+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 -y+1/2,-x+1/2,-z+1/2 x+1/2,-y+1/2,z+1/2 y+1/2,x+1/2,-z+1/2 ---------------------- Hermann-Mauguin symbol: I -4 c 2 international table number: 120 Hall symbol: I -4 -2c primitive Hall symbol: P -4z -2xc 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -4; primitive code: -4z order: 4 (improper axis); axisType: z operator: y,-x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2xc order: 2 (improper axis); axisType: x; translation: c operator: -x,y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z y,-x,-z -x,-y,z -y,x,-z -x,y,z+1/2 -y,-x,-z+1/2 x,-y,z+1/2 y,x,-z+1/2 x+1/2,y+1/2,z+1/2 y+1/2,-x+1/2,-z+1/2 -x+1/2,-y+1/2,z+1/2 -y+1/2,x+1/2,-z+1/2 -x+1/2,y+1/2,z -y+1/2,-x+1/2,-z x+1/2,-y+1/2,z y+1/2,x+1/2,-z ---------------------- Hermann-Mauguin symbol: I -4 2 m international table number: 121 Hall symbol: I -4 2 primitive Hall symbol: P -4z 2x 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -4; primitive code: -4z order: 4 (improper axis); axisType: z operator: y,-x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z y,-x,-z -x,-y,z -y,x,-z x,-y,-z y,x,z -x,y,-z -y,-x,z x+1/2,y+1/2,z+1/2 y+1/2,-x+1/2,-z+1/2 -x+1/2,-y+1/2,z+1/2 -y+1/2,x+1/2,-z+1/2 x+1/2,-y+1/2,-z+1/2 y+1/2,x+1/2,z+1/2 -x+1/2,y+1/2,-z+1/2 -y+1/2,-x+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: I -4 2 d international table number: 122 Hall symbol: I -4 2bw primitive Hall symbol: P -4z 2xbw 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -4; primitive code: -4z order: 4 (improper axis); axisType: z operator: y,-x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2bw; primitive code: 2xbw order: 2; axisType: x; translation: bw operator: x,-y+1/2,-z+1/4 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z y,-x,-z -x,-y,z -y,x,-z x,-y+1/2,-z+1/4 y,x+1/2,z+1/4 -x,y+1/2,-z+1/4 -y,-x+1/2,z+1/4 x+1/2,y+1/2,z+1/2 y+1/2,-x+1/2,-z+1/2 -x+1/2,-y+1/2,z+1/2 -y+1/2,x+1/2,-z+1/2 x+1/2,-y,-z+3/4 y+1/2,x,z+3/4 -x+1/2,y,-z+3/4 -y+1/2,-x,z+3/4 ---------------------- Hermann-Mauguin symbol: P 4/m m m international table number: 123 Hall symbol: -P 4 2 primitive Hall symbol: P 4z 2x -1 lattice type: P: primitive rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y,x,z -x,-y,z y,-x,z x,-y,-z -y,-x,-z -x,y,-z y,x,-z -x,-y,-z y,-x,-z x,y,-z -y,x,-z -x,y,z y,x,z x,-y,z -y,-x,z ---------------------- Hermann-Mauguin symbol: P 4/m c c international table number: 124 Hall symbol: -P 4 2c primitive Hall symbol: P 4z 2xc -1 lattice type: P: primitive rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y,x,z -x,-y,z y,-x,z x,-y,-z+1/2 -y,-x,-z+1/2 -x,y,-z+1/2 y,x,-z+1/2 -x,-y,-z y,-x,-z x,y,-z -y,x,-z -x,y,z+1/2 y,x,z+1/2 x,-y,z+1/2 -y,-x,z+1/2 ---------------------- Hermann-Mauguin symbol: P 4/n b m:1 international table number: 125:1 Hall symbol: P 4 2 -1ab primitive Hall symbol: P 4z 2x -1ab lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1ab; primitive code: -1ab order: 1 (improper axis); translation: ab operator: -x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y,x,z -x,-y,z y,-x,z x,-y,-z -y,-x,-z -x,y,-z y,x,-z -x+1/2,-y+1/2,-z y+1/2,-x+1/2,-z x+1/2,y+1/2,-z -y+1/2,x+1/2,-z -x+1/2,y+1/2,z y+1/2,x+1/2,z x+1/2,-y+1/2,z -y+1/2,-x+1/2,z ---------------------- Hermann-Mauguin symbol: P 4/n b m:2 international table number: 125:2 Hall symbol: -P 4a 2b primitive Hall symbol: P 4za 2xb -1 lattice type: P: primitive rotation term 1 input code: 4a; primitive code: 4za order: 4; axisType: z; translation: a operator: -y+1/2,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y+1/2,x,z -x+1/2,-y+1/2,z y,-x+1/2,z x,-y+1/2,-z -y+1/2,-x+1/2,-z -x+1/2,y,-z y,x,-z -x,-y,-z y+1/2,-x,-z x+1/2,y+1/2,-z -y,x+1/2,-z -x,y+1/2,z y+1/2,x+1/2,z x+1/2,-y,z -y,-x,z ---------------------- Hermann-Mauguin symbol: P 4/n n c:1 international table number: 126:1 Hall symbol: P 4 2 -1n primitive Hall symbol: P 4z 2x -1n lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1n; primitive code: -1n order: 1 (improper axis); translation: n operator: -x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y,x,z -x,-y,z y,-x,z x,-y,-z -y,-x,-z -x,y,-z y,x,-z -x+1/2,-y+1/2,-z+1/2 y+1/2,-x+1/2,-z+1/2 x+1/2,y+1/2,-z+1/2 -y+1/2,x+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 y+1/2,x+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 -y+1/2,-x+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 4/n n c:2 international table number: 126:2 Hall symbol: -P 4a 2bc primitive Hall symbol: P 4za 2xbc -1 lattice type: P: primitive rotation term 1 input code: 4a; primitive code: 4za order: 4; axisType: z; translation: a operator: -y+1/2,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2bc; primitive code: 2xbc order: 2; axisType: x; translation: bc operator: x,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y+1/2,x,z -x+1/2,-y+1/2,z y,-x+1/2,z x,-y+1/2,-z+1/2 -y+1/2,-x+1/2,-z+1/2 -x+1/2,y,-z+1/2 y,x,-z+1/2 -x,-y,-z y+1/2,-x,-z x+1/2,y+1/2,-z -y,x+1/2,-z -x,y+1/2,z+1/2 y+1/2,x+1/2,z+1/2 x+1/2,-y,z+1/2 -y,-x,z+1/2 ---------------------- Hermann-Mauguin symbol: P 4/m b m international table number: 127 Hall symbol: -P 4 2ab primitive Hall symbol: P 4z 2xab -1 lattice type: P: primitive rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y,x,z -x,-y,z y,-x,z x+1/2,-y+1/2,-z -y+1/2,-x+1/2,-z -x+1/2,y+1/2,-z y+1/2,x+1/2,-z -x,-y,-z y,-x,-z x,y,-z -y,x,-z -x+1/2,y+1/2,z y+1/2,x+1/2,z x+1/2,-y+1/2,z -y+1/2,-x+1/2,z ---------------------- Hermann-Mauguin symbol: P 4/m n c international table number: 128 Hall symbol: -P 4 2n primitive Hall symbol: P 4z 2xn -1 lattice type: P: primitive rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2n; primitive code: 2xn order: 2; axisType: x; translation: n operator: x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y,x,z -x,-y,z y,-x,z x+1/2,-y+1/2,-z+1/2 -y+1/2,-x+1/2,-z+1/2 -x+1/2,y+1/2,-z+1/2 y+1/2,x+1/2,-z+1/2 -x,-y,-z y,-x,-z x,y,-z -y,x,-z -x+1/2,y+1/2,z+1/2 y+1/2,x+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 -y+1/2,-x+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 4/n m m:1 international table number: 129:1 Hall symbol: P 4ab 2ab -1ab primitive Hall symbol: P 4zab 2xab -1ab lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4ab; primitive code: 4zab order: 4; axisType: z; translation: ab operator: -y+1/2,x+1/2,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1ab; primitive code: -1ab order: 1 (improper axis); translation: ab operator: -x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y+1/2,x+1/2,z -x,-y,z y+1/2,-x+1/2,z x+1/2,-y+1/2,-z -y,-x,-z -x+1/2,y+1/2,-z y,x,-z -x+1/2,-y+1/2,-z y,-x,-z x+1/2,y+1/2,-z -y,x,-z -x,y,z y+1/2,x+1/2,z x,-y,z -y+1/2,-x+1/2,z ---------------------- Hermann-Mauguin symbol: P 4/n m m:2 international table number: 129:2 Hall symbol: -P 4a 2a primitive Hall symbol: P 4za 2xa -1 lattice type: P: primitive rotation term 1 input code: 4a; primitive code: 4za order: 4; axisType: z; translation: a operator: -y+1/2,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y+1/2,x,z -x+1/2,-y+1/2,z y,-x+1/2,z x+1/2,-y,-z -y,-x,-z -x,y+1/2,-z y+1/2,x+1/2,-z -x,-y,-z y+1/2,-x,-z x+1/2,y+1/2,-z -y,x+1/2,-z -x+1/2,y,z y,x,z x,-y+1/2,z -y+1/2,-x+1/2,z ---------------------- Hermann-Mauguin symbol: P 4/n c c:1 international table number: 130:1 Hall symbol: P 4ab 2n -1ab primitive Hall symbol: P 4zab 2xn -1ab lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4ab; primitive code: 4zab order: 4; axisType: z; translation: ab operator: -y+1/2,x+1/2,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2n; primitive code: 2xn order: 2; axisType: x; translation: n operator: x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1ab; primitive code: -1ab order: 1 (improper axis); translation: ab operator: -x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y+1/2,x+1/2,z -x,-y,z y+1/2,-x+1/2,z x+1/2,-y+1/2,-z+1/2 -y,-x,-z+1/2 -x+1/2,y+1/2,-z+1/2 y,x,-z+1/2 -x+1/2,-y+1/2,-z y,-x,-z x+1/2,y+1/2,-z -y,x,-z -x,y,z+1/2 y+1/2,x+1/2,z+1/2 x,-y,z+1/2 -y+1/2,-x+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 4/n c c:2 international table number: 130:2 Hall symbol: -P 4a 2ac primitive Hall symbol: P 4za 2xac -1 lattice type: P: primitive rotation term 1 input code: 4a; primitive code: 4za order: 4; axisType: z; translation: a operator: -y+1/2,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ac; primitive code: 2xac order: 2; axisType: x; translation: ac operator: x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y+1/2,x,z -x+1/2,-y+1/2,z y,-x+1/2,z x+1/2,-y,-z+1/2 -y,-x,-z+1/2 -x,y+1/2,-z+1/2 y+1/2,x+1/2,-z+1/2 -x,-y,-z y+1/2,-x,-z x+1/2,y+1/2,-z -y,x+1/2,-z -x+1/2,y,z+1/2 y,x,z+1/2 x,-y+1/2,z+1/2 -y+1/2,-x+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 42/m m c international table number: 131 Hall symbol: -P 4c 2 primitive Hall symbol: P 4zc 2x -1 lattice type: P: primitive rotation term 1 input code: 4c; primitive code: 4zc order: 4; axisType: z; translation: c operator: -y,x,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y,x,z+1/2 -x,-y,z y,-x,z+1/2 x,-y,-z -y,-x,-z+1/2 -x,y,-z y,x,-z+1/2 -x,-y,-z y,-x,-z+1/2 x,y,-z -y,x,-z+1/2 -x,y,z y,x,z+1/2 x,-y,z -y,-x,z+1/2 ---------------------- Hermann-Mauguin symbol: P 42/m c m international table number: 132 Hall symbol: -P 4c 2c primitive Hall symbol: P 4zc 2xc -1 lattice type: P: primitive rotation term 1 input code: 4c; primitive code: 4zc order: 4; axisType: z; translation: c operator: -y,x,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y,x,z+1/2 -x,-y,z y,-x,z+1/2 x,-y,-z+1/2 -y,-x,-z -x,y,-z+1/2 y,x,-z -x,-y,-z y,-x,-z+1/2 x,y,-z -y,x,-z+1/2 -x,y,z+1/2 y,x,z x,-y,z+1/2 -y,-x,z ---------------------- Hermann-Mauguin symbol: P 42/n b c:1 international table number: 133:1 Hall symbol: P 4n 2c -1n primitive Hall symbol: P 4zn 2xc -1n lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4n; primitive code: 4zn order: 4; axisType: z; translation: n operator: -y+1/2,x+1/2,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1n; primitive code: -1n order: 1 (improper axis); translation: n operator: -x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y+1/2,x+1/2,z+1/2 -x,-y,z y+1/2,-x+1/2,z+1/2 x,-y,-z+1/2 -y+1/2,-x+1/2,-z -x,y,-z+1/2 y+1/2,x+1/2,-z -x+1/2,-y+1/2,-z+1/2 y,-x,-z x+1/2,y+1/2,-z+1/2 -y,x,-z -x+1/2,y+1/2,z y,x,z+1/2 x+1/2,-y+1/2,z -y,-x,z+1/2 ---------------------- Hermann-Mauguin symbol: P 42/n b c:2 international table number: 133:2 Hall symbol: -P 4ac 2b primitive Hall symbol: P 4zac 2xb -1 lattice type: P: primitive rotation term 1 input code: 4ac; primitive code: 4zac order: 4; axisType: z; translation: ac operator: -y+1/2,x,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2b; primitive code: 2xb order: 2; axisType: x; translation: b operator: x,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y+1/2,x,z+1/2 -x+1/2,-y+1/2,z y,-x+1/2,z+1/2 x,-y+1/2,-z -y+1/2,-x+1/2,-z+1/2 -x+1/2,y,-z y,x,-z+1/2 -x,-y,-z y+1/2,-x,-z+1/2 x+1/2,y+1/2,-z -y,x+1/2,-z+1/2 -x,y+1/2,z y+1/2,x+1/2,z+1/2 x+1/2,-y,z -y,-x,z+1/2 ---------------------- Hermann-Mauguin symbol: P 42/n n m:1 international table number: 134:1 Hall symbol: P 4n 2 -1n primitive Hall symbol: P 4zn 2x -1n lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4n; primitive code: 4zn order: 4; axisType: z; translation: n operator: -y+1/2,x+1/2,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1n; primitive code: -1n order: 1 (improper axis); translation: n operator: -x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y+1/2,x+1/2,z+1/2 -x,-y,z y+1/2,-x+1/2,z+1/2 x,-y,-z -y+1/2,-x+1/2,-z+1/2 -x,y,-z y+1/2,x+1/2,-z+1/2 -x+1/2,-y+1/2,-z+1/2 y,-x,-z x+1/2,y+1/2,-z+1/2 -y,x,-z -x+1/2,y+1/2,z+1/2 y,x,z x+1/2,-y+1/2,z+1/2 -y,-x,z ---------------------- Hermann-Mauguin symbol: P 42/n n m:2 international table number: 134:2 Hall symbol: -P 4ac 2bc primitive Hall symbol: P 4zac 2xbc -1 lattice type: P: primitive rotation term 1 input code: 4ac; primitive code: 4zac order: 4; axisType: z; translation: ac operator: -y+1/2,x,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2bc; primitive code: 2xbc order: 2; axisType: x; translation: bc operator: x,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y+1/2,x,z+1/2 -x+1/2,-y+1/2,z y,-x+1/2,z+1/2 x,-y+1/2,-z+1/2 -y+1/2,-x+1/2,-z -x+1/2,y,-z+1/2 y,x,-z -x,-y,-z y+1/2,-x,-z+1/2 x+1/2,y+1/2,-z -y,x+1/2,-z+1/2 -x,y+1/2,z+1/2 y+1/2,x+1/2,z x+1/2,-y,z+1/2 -y,-x,z ---------------------- Hermann-Mauguin symbol: P 42/m b c international table number: 135 Hall symbol: -P 4c 2ab primitive Hall symbol: P 4zc 2xab -1 lattice type: P: primitive rotation term 1 input code: 4c; primitive code: 4zc order: 4; axisType: z; translation: c operator: -y,x,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y,x,z+1/2 -x,-y,z y,-x,z+1/2 x+1/2,-y+1/2,-z -y+1/2,-x+1/2,-z+1/2 -x+1/2,y+1/2,-z y+1/2,x+1/2,-z+1/2 -x,-y,-z y,-x,-z+1/2 x,y,-z -y,x,-z+1/2 -x+1/2,y+1/2,z y+1/2,x+1/2,z+1/2 x+1/2,-y+1/2,z -y+1/2,-x+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 42/m b c international table number: 135 Hall symbol: -P 42 2ab primitive Hall symbol: P 4z 2xab -1 lattice type: P: primitive rotation term 1 input code: 42; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y,x,z -x,-y,z y,-x,z x+1/2,-y+1/2,-z -y+1/2,-x+1/2,-z -x+1/2,y+1/2,-z y+1/2,x+1/2,-z -x,-y,-z y,-x,-z x,y,-z -y,x,-z -x+1/2,y+1/2,z y+1/2,x+1/2,z x+1/2,-y+1/2,z -y+1/2,-x+1/2,z ---------------------- Hermann-Mauguin symbol: P 42/m n m international table number: 136 Hall symbol: -P 4n 2n primitive Hall symbol: P 4zn 2xn -1 lattice type: P: primitive rotation term 1 input code: 4n; primitive code: 4zn order: 4; axisType: z; translation: n operator: -y+1/2,x+1/2,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2n; primitive code: 2xn order: 2; axisType: x; translation: n operator: x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y+1/2,x+1/2,z+1/2 -x,-y,z y+1/2,-x+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -y,-x,-z -x+1/2,y+1/2,-z+1/2 y,x,-z -x,-y,-z y+1/2,-x+1/2,-z+1/2 x,y,-z -y+1/2,x+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 y,x,z x+1/2,-y+1/2,z+1/2 -y,-x,z ---------------------- Hermann-Mauguin symbol: P 42/n m c:1 international table number: 137:1 Hall symbol: P 4n 2n -1n primitive Hall symbol: P 4zn 2xn -1n lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4n; primitive code: 4zn order: 4; axisType: z; translation: n operator: -y+1/2,x+1/2,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2n; primitive code: 2xn order: 2; axisType: x; translation: n operator: x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1n; primitive code: -1n order: 1 (improper axis); translation: n operator: -x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y+1/2,x+1/2,z+1/2 -x,-y,z y+1/2,-x+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -y,-x,-z -x+1/2,y+1/2,-z+1/2 y,x,-z -x+1/2,-y+1/2,-z+1/2 y,-x,-z x+1/2,y+1/2,-z+1/2 -y,x,-z -x,y,z y+1/2,x+1/2,z+1/2 x,-y,z -y+1/2,-x+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 42/n m c:2 international table number: 137:2 Hall symbol: -P 4ac 2a primitive Hall symbol: P 4zac 2xa -1 lattice type: P: primitive rotation term 1 input code: 4ac; primitive code: 4zac order: 4; axisType: z; translation: ac operator: -y+1/2,x,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2a; primitive code: 2xa order: 2; axisType: x; translation: a operator: x+1/2,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y+1/2,x,z+1/2 -x+1/2,-y+1/2,z y,-x+1/2,z+1/2 x+1/2,-y,-z -y,-x,-z+1/2 -x,y+1/2,-z y+1/2,x+1/2,-z+1/2 -x,-y,-z y+1/2,-x,-z+1/2 x+1/2,y+1/2,-z -y,x+1/2,-z+1/2 -x+1/2,y,z y,x,z+1/2 x,-y+1/2,z -y+1/2,-x+1/2,z+1/2 ---------------------- Hermann-Mauguin symbol: P 42/n c m:1 international table number: 138:1 Hall symbol: P 4n 2ab -1n primitive Hall symbol: P 4zn 2xab -1n lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4n; primitive code: 4zn order: 4; axisType: z; translation: n operator: -y+1/2,x+1/2,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1n; primitive code: -1n order: 1 (improper axis); translation: n operator: -x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y+1/2,x+1/2,z+1/2 -x,-y,z y+1/2,-x+1/2,z+1/2 x+1/2,-y+1/2,-z -y,-x,-z+1/2 -x+1/2,y+1/2,-z y,x,-z+1/2 -x+1/2,-y+1/2,-z+1/2 y,-x,-z x+1/2,y+1/2,-z+1/2 -y,x,-z -x,y,z+1/2 y+1/2,x+1/2,z x,-y,z+1/2 -y+1/2,-x+1/2,z ---------------------- Hermann-Mauguin symbol: P 42/n c m:2 international table number: 138:2 Hall symbol: -P 4ac 2ac primitive Hall symbol: P 4zac 2xac -1 lattice type: P: primitive rotation term 1 input code: 4ac; primitive code: 4zac order: 4; axisType: z; translation: ac operator: -y+1/2,x,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ac; primitive code: 2xac order: 2; axisType: x; translation: ac operator: x+1/2,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (16): x,y,z -y+1/2,x,z+1/2 -x+1/2,-y+1/2,z y,-x+1/2,z+1/2 x+1/2,-y,-z+1/2 -y,-x,-z -x,y+1/2,-z+1/2 y+1/2,x+1/2,-z -x,-y,-z y+1/2,-x,-z+1/2 x+1/2,y+1/2,-z -y,x+1/2,-z+1/2 -x+1/2,y,z+1/2 y,x,z x,-y+1/2,z+1/2 -y+1/2,-x+1/2,z ---------------------- Hermann-Mauguin symbol: I 4/m m m international table number: 139 Hall symbol: -I 4 2 primitive Hall symbol: P 4z 2x 1n -1 lattice type: I: body-centered rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (32): x,y,z -y,x,z -x,-y,z y,-x,z x,-y,-z -y,-x,-z -x,y,-z y,x,-z x+1/2,y+1/2,z+1/2 -y+1/2,x+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 y+1/2,-x+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -y+1/2,-x+1/2,-z+1/2 -x+1/2,y+1/2,-z+1/2 y+1/2,x+1/2,-z+1/2 -x+1/2,-y+1/2,-z+1/2 y+1/2,-x+1/2,-z+1/2 x+1/2,y+1/2,-z+1/2 -y+1/2,x+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 y+1/2,x+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 -y+1/2,-x+1/2,z+1/2 -x,-y,-z y,-x,-z x,y,-z -y,x,-z -x,y,z y,x,z x,-y,z -y,-x,z ---------------------- Hermann-Mauguin symbol: I 4/m c m international table number: 140 Hall symbol: -I 4 2c primitive Hall symbol: P 4z 2xc 1n -1 lattice type: I: body-centered rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (32): x,y,z -y,x,z -x,-y,z y,-x,z x,-y,-z+1/2 -y,-x,-z+1/2 -x,y,-z+1/2 y,x,-z+1/2 x+1/2,y+1/2,z+1/2 -y+1/2,x+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 y+1/2,-x+1/2,z+1/2 x+1/2,-y+1/2,-z -y+1/2,-x+1/2,-z -x+1/2,y+1/2,-z y+1/2,x+1/2,-z -x+1/2,-y+1/2,-z+1/2 y+1/2,-x+1/2,-z+1/2 x+1/2,y+1/2,-z+1/2 -y+1/2,x+1/2,-z+1/2 -x+1/2,y+1/2,z y+1/2,x+1/2,z x+1/2,-y+1/2,z -y+1/2,-x+1/2,z -x,-y,-z y,-x,-z x,y,-z -y,x,-z -x,y,z+1/2 y,x,z+1/2 x,-y,z+1/2 -y,-x,z+1/2 ---------------------- Hermann-Mauguin symbol: I 41/a m d:1 international table number: 141:1 Hall symbol: I 4bw 2bw -1bw primitive Hall symbol: P 4zbw 2xbw -1bw 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 4bw; primitive code: 4zbw order: 4; axisType: z; translation: bw operator: -y,x+1/2,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2bw; primitive code: 2xbw order: 2; axisType: x; translation: bw operator: x,-y+1/2,-z+1/4 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1bw; primitive code: -1bw order: 1 (improper axis); translation: bw operator: -x,-y+1/2,-z+1/4 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (32): x,y,z -y,x+1/2,z+1/4 -x+1/2,-y+1/2,z+1/2 y+1/2,-x,z+3/4 x,-y+1/2,-z+1/4 -y,-x,-z -x+1/2,y,-z+3/4 y+1/2,x+1/2,-z+1/2 -x,-y+1/2,-z+1/4 y,-x,-z x+1/2,y,-z+3/4 -y+1/2,x+1/2,-z+1/2 -x,y,z y,x+1/2,z+1/4 x+1/2,-y+1/2,z+1/2 -y+1/2,-x,z+3/4 -x+1/2,-y,-z+3/4 y+1/2,-x+1/2,-z+1/2 x,y+1/2,-z+1/4 -y,x,-z -x+1/2,y+1/2,z+1/2 y+1/2,x,z+3/4 x,-y,z -y,-x+1/2,z+1/4 x+1/2,y+1/2,z+1/2 -y+1/2,x,z+3/4 -x,-y,z y,-x+1/2,z+1/4 x+1/2,-y,-z+3/4 -y+1/2,-x+1/2,-z+1/2 -x,y+1/2,-z+1/4 y,x,-z ---------------------- Hermann-Mauguin symbol: I 41/a m d:2 international table number: 141:2 Hall symbol: -I 4bd 2 primitive Hall symbol: P 4zbd 2x 1n -1 lattice type: I: body-centered rotation term 1 input code: 4bd; primitive code: 4zbd order: 4; axisType: z; translation: bd operator: -y+1/4,x+3/4,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 3.0] [1.0 0.0 0.0 9.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (32): x,y,z -y+1/4,x+3/4,z+1/4 -x+1/2,-y,z+1/2 y+1/4,-x+1/4,z+3/4 x,-y,-z -y+1/4,-x+1/4,-z+3/4 -x+1/2,y,-z+1/2 y+1/4,x+3/4,-z+1/4 x+1/2,y+1/2,z+1/2 -y+3/4,x+1/4,z+3/4 -x,-y+1/2,z y+3/4,-x+3/4,z+1/4 x+1/2,-y+1/2,-z+1/2 -y+3/4,-x+3/4,-z+1/4 -x,y+1/2,-z y+3/4,x+1/4,-z+3/4 -x+1/2,-y+1/2,-z+1/2 y+1/4,-x+3/4,-z+1/4 x,y+1/2,-z -y+1/4,x+1/4,-z+3/4 -x+1/2,y+1/2,z+1/2 y+1/4,x+1/4,z+3/4 x,-y+1/2,z -y+1/4,-x+3/4,z+1/4 -x,-y,-z y+3/4,-x+1/4,-z+3/4 x+1/2,y,-z+1/2 -y+3/4,x+3/4,-z+1/4 -x,y,z y+3/4,x+3/4,z+1/4 x+1/2,-y,z+1/2 -y+3/4,-x+1/4,z+3/4 ---------------------- Hermann-Mauguin symbol: I 41/a c d:1 international table number: 142:1 Hall symbol: I 4bw 2aw -1bw primitive Hall symbol: P 4zbw 2xaw -1bw 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 4bw; primitive code: 4zbw order: 4; axisType: z; translation: bw operator: -y,x+1/2,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2aw; primitive code: 2xaw order: 2; axisType: x; translation: aw operator: x+1/2,-y,-z+1/4 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1bw; primitive code: -1bw order: 1 (improper axis); translation: bw operator: -x,-y+1/2,-z+1/4 Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (32): x,y,z -y,x+1/2,z+1/4 -x+1/2,-y+1/2,z+1/2 y+1/2,-x,z+3/4 x+1/2,-y,-z+1/4 -y+1/2,-x+1/2,-z -x,y+1/2,-z+3/4 y,x,-z+1/2 -x,-y+1/2,-z+1/4 y,-x,-z x+1/2,y,-z+3/4 -y+1/2,x+1/2,-z+1/2 -x+1/2,y+1/2,z y+1/2,x,z+1/4 x,-y,z+1/2 -y,-x+1/2,z+3/4 -x+1/2,-y,-z+3/4 y+1/2,-x+1/2,-z+1/2 x,y+1/2,-z+1/4 -y,x,-z -x,y,z+1/2 y,x+1/2,z+3/4 x+1/2,-y+1/2,z -y+1/2,-x,z+1/4 x+1/2,y+1/2,z+1/2 -y+1/2,x,z+3/4 -x,-y,z y,-x+1/2,z+1/4 x,-y+1/2,-z+3/4 -y,-x,-z+1/2 -x+1/2,y,-z+1/4 y+1/2,x+1/2,-z ---------------------- Hermann-Mauguin symbol: I 41/a c d:2 international table number: 142:2 Hall symbol: -I 4bd 2c primitive Hall symbol: P 4zbd 2xc 1n -1 lattice type: I: body-centered rotation term 1 input code: 4bd; primitive code: 4zbd order: 4; axisType: z; translation: bd operator: -y+1/4,x+3/4,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 3.0] [1.0 0.0 0.0 9.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (32): x,y,z -y+1/4,x+3/4,z+1/4 -x+1/2,-y,z+1/2 y+1/4,-x+1/4,z+3/4 x,-y,-z+1/2 -y+1/4,-x+1/4,-z+1/4 -x+1/2,y,-z y+1/4,x+3/4,-z+3/4 x+1/2,y+1/2,z+1/2 -y+3/4,x+1/4,z+3/4 -x,-y+1/2,z y+3/4,-x+3/4,z+1/4 x+1/2,-y+1/2,-z -y+3/4,-x+3/4,-z+3/4 -x,y+1/2,-z+1/2 y+3/4,x+1/4,-z+1/4 -x+1/2,-y+1/2,-z+1/2 y+1/4,-x+3/4,-z+1/4 x,y+1/2,-z -y+1/4,x+1/4,-z+3/4 -x+1/2,y+1/2,z y+1/4,x+1/4,z+1/4 x,-y+1/2,z+1/2 -y+1/4,-x+3/4,z+3/4 -x,-y,-z y+3/4,-x+1/4,-z+3/4 x+1/2,y,-z+1/2 -y+3/4,x+3/4,-z+1/4 -x,y,z+1/2 y+3/4,x+3/4,z+3/4 x+1/2,-y,z -y+3/4,-x+1/4,z+1/4 ---------------------- Hermann-Mauguin symbol: P 3 international table number: 143 Hall symbol: P 3 primitive Hall symbol: P 3z lattice type: -P: centrosymmetric primitive rotation term 1 input code: 3; primitive code: 3z order: 3; axisType: z operator: -y,x-y,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (3): x,y,z -y,x-y,z -x+y,-x,z ---------------------- Hermann-Mauguin symbol: P 31 international table number: 144 Hall symbol: P 31 primitive Hall symbol: P 3z1 lattice type: -P: centrosymmetric primitive rotation term 1 input code: 31; primitive code: 3z1 order: 3; axisType: z; translation: 1 operator: -y,x-y,z+1/3 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 4.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (3): x,y,z -y,x-y,z+1/3 -x+y,-x,z+2/3 ---------------------- Hermann-Mauguin symbol: P 32 international table number: 145 Hall symbol: P 32 primitive Hall symbol: P 3z2 lattice type: -P: centrosymmetric primitive rotation term 1 input code: 32; primitive code: 3z2 order: 3; axisType: z; translation: 2 operator: -y,x-y,z+2/3 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 8.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (3): x,y,z -y,x-y,z+2/3 -x+y,-x,z+1/3 ---------------------- Hermann-Mauguin symbol: R 3:h international table number: 146:h Hall symbol: R 3 primitive Hall symbol: P 3z 1r 1r lattice type: -R: centrosymmetric rhombohedral rotation term 1 input code: 3; primitive code: 3z order: 3; axisType: z operator: -y,x-y,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1r; primitive code: 1r order: 1; translation: r operator: x+1/3,y+2/3,z+2/3 Seitz matrix(12ths): [ [1.0 0.0 0.0 4.0] [0.0 1.0 0.0 8.0] [0.0 0.0 1.0 8.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1r; primitive code: 1r order: 1; translation: r operator: x+1/3,y+2/3,z+2/3 Seitz matrix(12ths): [ [1.0 0.0 0.0 4.0] [0.0 1.0 0.0 8.0] [0.0 0.0 1.0 8.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (9): x,y,z -y,x-y,z -x+y,-x,z x+1/3,y+2/3,z+2/3 -y+1/3,x-y+2/3,z+2/3 -x+y+1/3,-x+2/3,z+2/3 x+2/3,y+1/3,z+1/3 -y+2/3,x-y+1/3,z+1/3 -x+y+2/3,-x+1/3,z+1/3 ---------------------- Hermann-Mauguin symbol: R 3:r international table number: 146:r Hall symbol: P 3* primitive Hall symbol: P 3* lattice type: -P: centrosymmetric primitive rotation term 1 input code: 3*; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (3): x,y,z z,x,y y,z,x ---------------------- Hermann-Mauguin symbol: P -3 international table number: 147 Hall symbol: -P 3 primitive Hall symbol: P 3z -1 lattice type: P: primitive rotation term 1 input code: 3; primitive code: 3z order: 3; axisType: z operator: -y,x-y,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z -y,x-y,z -x+y,-x,z -x,-y,-z y,-x+y,-z x-y,x,-z ---------------------- Hermann-Mauguin symbol: R -3:h international table number: 148:h Hall symbol: -R 3 primitive Hall symbol: P 3z 1r 1r -1 lattice type: R: rhombohedral rotation term 1 input code: 3; primitive code: 3z order: 3; axisType: z operator: -y,x-y,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 1r; primitive code: 1r order: 1; translation: r operator: x+1/3,y+2/3,z+2/3 Seitz matrix(12ths): [ [1.0 0.0 0.0 4.0] [0.0 1.0 0.0 8.0] [0.0 0.0 1.0 8.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1r; primitive code: 1r order: 1; translation: r operator: x+1/3,y+2/3,z+2/3 Seitz matrix(12ths): [ [1.0 0.0 0.0 4.0] [0.0 1.0 0.0 8.0] [0.0 0.0 1.0 8.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (18): x,y,z -y,x-y,z -x+y,-x,z x+1/3,y+2/3,z+2/3 -y+1/3,x-y+2/3,z+2/3 -x+y+1/3,-x+2/3,z+2/3 x+2/3,y+1/3,z+1/3 -y+2/3,x-y+1/3,z+1/3 -x+y+2/3,-x+1/3,z+1/3 -x+1/3,-y+2/3,-z+2/3 y+1/3,-x+y+2/3,-z+2/3 x-y+1/3,x+2/3,-z+2/3 -x,-y,-z y,-x+y,-z x-y,x,-z -x+2/3,-y+1/3,-z+1/3 y+2/3,-x+y+1/3,-z+1/3 x-y+2/3,x+1/3,-z+1/3 ---------------------- Hermann-Mauguin symbol: R -3:r international table number: 148:r Hall symbol: -P 3* primitive Hall symbol: P 3* -1 lattice type: P: primitive rotation term 1 input code: 3*; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z z,x,y y,z,x -x,-y,-z -z,-x,-y -y,-z,-x ---------------------- Hermann-Mauguin symbol: P 3 1 2 international table number: 149 Hall symbol: P 3 2 primitive Hall symbol: P 3z 2' lattice type: -P: centrosymmetric primitive rotation term 1 input code: 3; primitive code: 3z order: 3; axisType: z operator: -y,x-y,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2' order: 2; axisType: ' operator: -y,-x,-z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z -y,x-y,z -x+y,-x,z -y,-x,-z -x+y,y,-z x,x-y,-z ---------------------- Hermann-Mauguin symbol: P 3 2 1 international table number: 150 Hall symbol: P 3 2" primitive Hall symbol: P 3z 2"z lattice type: -P: centrosymmetric primitive rotation term 1 input code: 3; primitive code: 3z order: 3; axisType: z operator: -y,x-y,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2"; primitive code: 2"z order: 2; axisType: "z operator: y,x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z -y,x-y,z -x+y,-x,z y,x,-z x-y,-y,-z -x,-x+y,-z ---------------------- Hermann-Mauguin symbol: P 31 1 2 international table number: 151 Hall symbol: P 31 2 (0 0 4) primitive Hall symbol: P 3z1 2' (0 0 4) lattice type: -P: centrosymmetric primitive rotation term 1 input code: 31; primitive code: 3z1 order: 3; axisType: z; translation: 1; vector offset: (0 0 4) operator: -y,x-y,z+1/3 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 4.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2' order: 2; axisType: '; vector offset: (0 0 4) operator: -y,-x,-z+2/3 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 8.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z -y,x-y,z+1/3 -x+y,-x,z+2/3 -y,-x,-z+2/3 -x+y,y,-z+1/3 x,x-y,-z ---------------------- Hermann-Mauguin symbol: P 31 2 1 international table number: 152 Hall symbol: P 31 2" primitive Hall symbol: P 3z1 2"z lattice type: -P: centrosymmetric primitive rotation term 1 input code: 31; primitive code: 3z1 order: 3; axisType: z; translation: 1 operator: -y,x-y,z+1/3 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 4.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2"; primitive code: 2"z order: 2; axisType: "z operator: y,x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z -y,x-y,z+1/3 -x+y,-x,z+2/3 y,x,-z x-y,-y,-z+2/3 -x,-x+y,-z+1/3 ---------------------- Hermann-Mauguin symbol: P 32 1 2 international table number: 153 Hall symbol: P 32 2 (0 0 2) primitive Hall symbol: P 3z2 2' (0 0 2) lattice type: -P: centrosymmetric primitive rotation term 1 input code: 32; primitive code: 3z2 order: 3; axisType: z; translation: 2; vector offset: (0 0 2) operator: -y,x-y,z+2/3 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 8.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2' order: 2; axisType: '; vector offset: (0 0 2) operator: -y,-x,-z+1/3 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 4.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z -y,x-y,z+2/3 -x+y,-x,z+1/3 -y,-x,-z+1/3 -x+y,y,-z+2/3 x,x-y,-z ---------------------- Hermann-Mauguin symbol: P 32 2 1 international table number: 154 Hall symbol: P 32 2" primitive Hall symbol: P 3z2 2"z lattice type: -P: centrosymmetric primitive rotation term 1 input code: 32; primitive code: 3z2 order: 3; axisType: z; translation: 2 operator: -y,x-y,z+2/3 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 8.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2"; primitive code: 2"z order: 2; axisType: "z operator: y,x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z -y,x-y,z+2/3 -x+y,-x,z+1/3 y,x,-z x-y,-y,-z+1/3 -x,-x+y,-z+2/3 ---------------------- Hermann-Mauguin symbol: R 3 2:h international table number: 155:h Hall symbol: R 3 2" primitive Hall symbol: P 3z 2"z 1r 1r lattice type: -R: centrosymmetric rhombohedral rotation term 1 input code: 3; primitive code: 3z order: 3; axisType: z operator: -y,x-y,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2"; primitive code: 2"z order: 2; axisType: "z operator: y,x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1r; primitive code: 1r order: 1; translation: r operator: x+1/3,y+2/3,z+2/3 Seitz matrix(12ths): [ [1.0 0.0 0.0 4.0] [0.0 1.0 0.0 8.0] [0.0 0.0 1.0 8.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1r; primitive code: 1r order: 1; translation: r operator: x+1/3,y+2/3,z+2/3 Seitz matrix(12ths): [ [1.0 0.0 0.0 4.0] [0.0 1.0 0.0 8.0] [0.0 0.0 1.0 8.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (18): x,y,z -y,x-y,z -x+y,-x,z y,x,-z x-y,-y,-z -x,-x+y,-z x+1/3,y+2/3,z+2/3 -y+1/3,x-y+2/3,z+2/3 -x+y+1/3,-x+2/3,z+2/3 y+1/3,x+2/3,-z+2/3 x-y+1/3,-y+2/3,-z+2/3 -x+1/3,-x+y+2/3,-z+2/3 x+2/3,y+1/3,z+1/3 -y+2/3,x-y+1/3,z+1/3 -x+y+2/3,-x+1/3,z+1/3 y+2/3,x+1/3,-z+1/3 x-y+2/3,-y+1/3,-z+1/3 -x+2/3,-x+y+1/3,-z+1/3 ---------------------- Hermann-Mauguin symbol: R 3 2:r international table number: 155:r Hall symbol: P 3* 2 primitive Hall symbol: P 3* 2' lattice type: -P: centrosymmetric primitive rotation term 1 input code: 3*; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2' order: 2; axisType: ' operator: -y,-x,-z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z z,x,y y,z,x -y,-x,-z -x,-z,-y -z,-y,-x ---------------------- Hermann-Mauguin symbol: P 3 m 1 international table number: 156 Hall symbol: P 3 -2" primitive Hall symbol: P 3z -2"z lattice type: -P: centrosymmetric primitive rotation term 1 input code: 3; primitive code: 3z order: 3; axisType: z operator: -y,x-y,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2"; primitive code: -2"z order: 2 (improper axis); axisType: "z operator: -y,-x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z -y,x-y,z -x+y,-x,z -y,-x,z -x+y,y,z x,x-y,z ---------------------- Hermann-Mauguin symbol: P 3 1 m international table number: 157 Hall symbol: P 3 -2 primitive Hall symbol: P 3z -2' lattice type: -P: centrosymmetric primitive rotation term 1 input code: 3; primitive code: 3z order: 3; axisType: z operator: -y,x-y,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2' order: 2 (improper axis); axisType: ' operator: y,x,z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z -y,x-y,z -x+y,-x,z y,x,z x-y,-y,z -x,-x+y,z ---------------------- Hermann-Mauguin symbol: P 3 c 1 international table number: 158 Hall symbol: P 3 -2"c primitive Hall symbol: P 3z -2"zc lattice type: -P: centrosymmetric primitive rotation term 1 input code: 3; primitive code: 3z order: 3; axisType: z operator: -y,x-y,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2"c; primitive code: -2"zc order: 2 (improper axis); axisType: "z; translation: c operator: -y,-x,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z -y,x-y,z -x+y,-x,z -y,-x,z+1/2 -x+y,y,z+1/2 x,x-y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 3 1 c international table number: 159 Hall symbol: P 3 -2c primitive Hall symbol: P 3z -2'c lattice type: -P: centrosymmetric primitive rotation term 1 input code: 3; primitive code: 3z order: 3; axisType: z operator: -y,x-y,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2'c order: 2 (improper axis); axisType: '; translation: c operator: y,x,z+1/2 Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z -y,x-y,z -x+y,-x,z y,x,z+1/2 x-y,-y,z+1/2 -x,-x+y,z+1/2 ---------------------- Hermann-Mauguin symbol: R 3 m:h international table number: 160:h Hall symbol: R 3 -2" primitive Hall symbol: P 3z -2"z 1r 1r lattice type: -R: centrosymmetric rhombohedral rotation term 1 input code: 3; primitive code: 3z order: 3; axisType: z operator: -y,x-y,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2"; primitive code: -2"z order: 2 (improper axis); axisType: "z operator: -y,-x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1r; primitive code: 1r order: 1; translation: r operator: x+1/3,y+2/3,z+2/3 Seitz matrix(12ths): [ [1.0 0.0 0.0 4.0] [0.0 1.0 0.0 8.0] [0.0 0.0 1.0 8.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1r; primitive code: 1r order: 1; translation: r operator: x+1/3,y+2/3,z+2/3 Seitz matrix(12ths): [ [1.0 0.0 0.0 4.0] [0.0 1.0 0.0 8.0] [0.0 0.0 1.0 8.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (18): x,y,z -y,x-y,z -x+y,-x,z -y,-x,z -x+y,y,z x,x-y,z x+1/3,y+2/3,z+2/3 -y+1/3,x-y+2/3,z+2/3 -x+y+1/3,-x+2/3,z+2/3 -y+1/3,-x+2/3,z+2/3 -x+y+1/3,y+2/3,z+2/3 x+1/3,x-y+2/3,z+2/3 x+2/3,y+1/3,z+1/3 -y+2/3,x-y+1/3,z+1/3 -x+y+2/3,-x+1/3,z+1/3 -y+2/3,-x+1/3,z+1/3 -x+y+2/3,y+1/3,z+1/3 x+2/3,x-y+1/3,z+1/3 ---------------------- Hermann-Mauguin symbol: R 3 m:r international table number: 160:r Hall symbol: P 3* -2 primitive Hall symbol: P 3* -2' lattice type: -P: centrosymmetric primitive rotation term 1 input code: 3*; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2' order: 2 (improper axis); axisType: ' operator: y,x,z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z z,x,y y,z,x y,x,z x,z,y z,y,x ---------------------- Hermann-Mauguin symbol: R 3 c:h international table number: 161:h Hall symbol: R 3 -2"c primitive Hall symbol: P 3z -2"zc 1r 1r lattice type: -R: centrosymmetric rhombohedral rotation term 1 input code: 3; primitive code: 3z order: 3; axisType: z operator: -y,x-y,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2"c; primitive code: -2"zc order: 2 (improper axis); axisType: "z; translation: c operator: -y,-x,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1r; primitive code: 1r order: 1; translation: r operator: x+1/3,y+2/3,z+2/3 Seitz matrix(12ths): [ [1.0 0.0 0.0 4.0] [0.0 1.0 0.0 8.0] [0.0 0.0 1.0 8.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1r; primitive code: 1r order: 1; translation: r operator: x+1/3,y+2/3,z+2/3 Seitz matrix(12ths): [ [1.0 0.0 0.0 4.0] [0.0 1.0 0.0 8.0] [0.0 0.0 1.0 8.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (18): x,y,z -y,x-y,z -x+y,-x,z -y,-x,z+1/2 -x+y,y,z+1/2 x,x-y,z+1/2 x+1/3,y+2/3,z+2/3 -y+1/3,x-y+2/3,z+2/3 -x+y+1/3,-x+2/3,z+2/3 -y+1/3,-x+2/3,z+1/6 -x+y+1/3,y+2/3,z+1/6 x+1/3,x-y+2/3,z+1/6 x+2/3,y+1/3,z+1/3 -y+2/3,x-y+1/3,z+1/3 -x+y+2/3,-x+1/3,z+1/3 -y+2/3,-x+1/3,z+5/6 -x+y+2/3,y+1/3,z+5/6 x+2/3,x-y+1/3,z+5/6 ---------------------- Hermann-Mauguin symbol: R 3 c:r international table number: 161:r Hall symbol: P 3* -2n primitive Hall symbol: P 3* -2'n lattice type: -P: centrosymmetric primitive rotation term 1 input code: 3*; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2n; primitive code: -2'n order: 2 (improper axis); axisType: '; translation: n operator: y+1/2,x+1/2,z+1/2 Seitz matrix(12ths): [ [0.0 1.0 0.0 6.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z z,x,y y,z,x y+1/2,x+1/2,z+1/2 x+1/2,z+1/2,y+1/2 z+1/2,y+1/2,x+1/2 ---------------------- Hermann-Mauguin symbol: P -3 1 m international table number: 162 Hall symbol: -P 3 2 primitive Hall symbol: P 3z 2' -1 lattice type: P: primitive rotation term 1 input code: 3; primitive code: 3z order: 3; axisType: z operator: -y,x-y,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2' order: 2; axisType: ' operator: -y,-x,-z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z -y,x-y,z -x+y,-x,z -y,-x,-z -x+y,y,-z x,x-y,-z -x,-y,-z y,-x+y,-z x-y,x,-z y,x,z x-y,-y,z -x,-x+y,z ---------------------- Hermann-Mauguin symbol: P -3 1 c international table number: 163 Hall symbol: -P 3 2c primitive Hall symbol: P 3z 2'c -1 lattice type: P: primitive rotation term 1 input code: 3; primitive code: 3z order: 3; axisType: z operator: -y,x-y,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2'c order: 2; axisType: '; translation: c operator: -y,-x,-z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z -y,x-y,z -x+y,-x,z -y,-x,-z+1/2 -x+y,y,-z+1/2 x,x-y,-z+1/2 -x,-y,-z y,-x+y,-z x-y,x,-z y,x,z+1/2 x-y,-y,z+1/2 -x,-x+y,z+1/2 ---------------------- Hermann-Mauguin symbol: P -3 m 1 international table number: 164 Hall symbol: -P 3 2" primitive Hall symbol: P 3z 2"z -1 lattice type: P: primitive rotation term 1 input code: 3; primitive code: 3z order: 3; axisType: z operator: -y,x-y,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2"; primitive code: 2"z order: 2; axisType: "z operator: y,x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z -y,x-y,z -x+y,-x,z y,x,-z x-y,-y,-z -x,-x+y,-z -x,-y,-z y,-x+y,-z x-y,x,-z -y,-x,z -x+y,y,z x,x-y,z ---------------------- Hermann-Mauguin symbol: P -3 c 1 international table number: 165 Hall symbol: -P 3 2"c primitive Hall symbol: P 3z 2"zc -1 lattice type: P: primitive rotation term 1 input code: 3; primitive code: 3z order: 3; axisType: z operator: -y,x-y,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2"c; primitive code: 2"zc order: 2; axisType: "z; translation: c operator: y,x,-z+1/2 Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z -y,x-y,z -x+y,-x,z y,x,-z+1/2 x-y,-y,-z+1/2 -x,-x+y,-z+1/2 -x,-y,-z y,-x+y,-z x-y,x,-z -y,-x,z+1/2 -x+y,y,z+1/2 x,x-y,z+1/2 ---------------------- Hermann-Mauguin symbol: R -3 m:h international table number: 166:h Hall symbol: -R 3 2" primitive Hall symbol: P 3z 2"z 1r 1r -1 lattice type: R: rhombohedral rotation term 1 input code: 3; primitive code: 3z order: 3; axisType: z operator: -y,x-y,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2"; primitive code: 2"z order: 2; axisType: "z operator: y,x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1r; primitive code: 1r order: 1; translation: r operator: x+1/3,y+2/3,z+2/3 Seitz matrix(12ths): [ [1.0 0.0 0.0 4.0] [0.0 1.0 0.0 8.0] [0.0 0.0 1.0 8.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1r; primitive code: 1r order: 1; translation: r operator: x+1/3,y+2/3,z+2/3 Seitz matrix(12ths): [ [1.0 0.0 0.0 4.0] [0.0 1.0 0.0 8.0] [0.0 0.0 1.0 8.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (36): x,y,z -y,x-y,z -x+y,-x,z y,x,-z x-y,-y,-z -x,-x+y,-z x+1/3,y+2/3,z+2/3 -y+1/3,x-y+2/3,z+2/3 -x+y+1/3,-x+2/3,z+2/3 y+1/3,x+2/3,-z+2/3 x-y+1/3,-y+2/3,-z+2/3 -x+1/3,-x+y+2/3,-z+2/3 x+2/3,y+1/3,z+1/3 -y+2/3,x-y+1/3,z+1/3 -x+y+2/3,-x+1/3,z+1/3 y+2/3,x+1/3,-z+1/3 x-y+2/3,-y+1/3,-z+1/3 -x+2/3,-x+y+1/3,-z+1/3 -x+1/3,-y+2/3,-z+2/3 y+1/3,-x+y+2/3,-z+2/3 x-y+1/3,x+2/3,-z+2/3 -y+1/3,-x+2/3,z+2/3 -x+y+1/3,y+2/3,z+2/3 x+1/3,x-y+2/3,z+2/3 -x,-y,-z y,-x+y,-z x-y,x,-z -y,-x,z -x+y,y,z x,x-y,z -x+2/3,-y+1/3,-z+1/3 y+2/3,-x+y+1/3,-z+1/3 x-y+2/3,x+1/3,-z+1/3 -y+2/3,-x+1/3,z+1/3 -x+y+2/3,y+1/3,z+1/3 x+2/3,x-y+1/3,z+1/3 ---------------------- Hermann-Mauguin symbol: R -3 m:r international table number: 166:r Hall symbol: -P 3* 2 primitive Hall symbol: P 3* 2' -1 lattice type: P: primitive rotation term 1 input code: 3*; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2' order: 2; axisType: ' operator: -y,-x,-z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z z,x,y y,z,x -y,-x,-z -x,-z,-y -z,-y,-x -x,-y,-z -z,-x,-y -y,-z,-x y,x,z x,z,y z,y,x ---------------------- Hermann-Mauguin symbol: R -3 c:h international table number: 167:h Hall symbol: -R 3 2"c primitive Hall symbol: P 3z 2"zc 1r 1r -1 lattice type: R: rhombohedral rotation term 1 input code: 3; primitive code: 3z order: 3; axisType: z operator: -y,x-y,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2"c; primitive code: 2"zc order: 2; axisType: "z; translation: c operator: y,x,-z+1/2 Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 1r; primitive code: 1r order: 1; translation: r operator: x+1/3,y+2/3,z+2/3 Seitz matrix(12ths): [ [1.0 0.0 0.0 4.0] [0.0 1.0 0.0 8.0] [0.0 0.0 1.0 8.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1r; primitive code: 1r order: 1; translation: r operator: x+1/3,y+2/3,z+2/3 Seitz matrix(12ths): [ [1.0 0.0 0.0 4.0] [0.0 1.0 0.0 8.0] [0.0 0.0 1.0 8.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (36): x,y,z -y,x-y,z -x+y,-x,z y,x,-z+1/2 x-y,-y,-z+1/2 -x,-x+y,-z+1/2 x+1/3,y+2/3,z+2/3 -y+1/3,x-y+2/3,z+2/3 -x+y+1/3,-x+2/3,z+2/3 y+1/3,x+2/3,-z+1/6 x-y+1/3,-y+2/3,-z+1/6 -x+1/3,-x+y+2/3,-z+1/6 x+2/3,y+1/3,z+1/3 -y+2/3,x-y+1/3,z+1/3 -x+y+2/3,-x+1/3,z+1/3 y+2/3,x+1/3,-z+5/6 x-y+2/3,-y+1/3,-z+5/6 -x+2/3,-x+y+1/3,-z+5/6 -x+1/3,-y+2/3,-z+2/3 y+1/3,-x+y+2/3,-z+2/3 x-y+1/3,x+2/3,-z+2/3 -y+1/3,-x+2/3,z+1/6 -x+y+1/3,y+2/3,z+1/6 x+1/3,x-y+2/3,z+1/6 -x,-y,-z y,-x+y,-z x-y,x,-z -y,-x,z+1/2 -x+y,y,z+1/2 x,x-y,z+1/2 -x+2/3,-y+1/3,-z+1/3 y+2/3,-x+y+1/3,-z+1/3 x-y+2/3,x+1/3,-z+1/3 -y+2/3,-x+1/3,z+5/6 -x+y+2/3,y+1/3,z+5/6 x+2/3,x-y+1/3,z+5/6 ---------------------- Hermann-Mauguin symbol: R -3 c:r international table number: 167:r Hall symbol: -P 3* 2n primitive Hall symbol: P 3* 2'n -1 lattice type: P: primitive rotation term 1 input code: 3*; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2n; primitive code: 2'n order: 2; axisType: '; translation: n operator: -y+1/2,-x+1/2,-z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [-1.0 0.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z z,x,y y,z,x -y+1/2,-x+1/2,-z+1/2 -x+1/2,-z+1/2,-y+1/2 -z+1/2,-y+1/2,-x+1/2 -x,-y,-z -z,-x,-y -y,-z,-x y+1/2,x+1/2,z+1/2 x+1/2,z+1/2,y+1/2 z+1/2,y+1/2,x+1/2 ---------------------- Hermann-Mauguin symbol: P 6 international table number: 168 Hall symbol: P 6 primitive Hall symbol: P 6z lattice type: -P: centrosymmetric primitive rotation term 1 input code: 6; primitive code: 6z order: 6; axisType: z operator: x-y,x,z Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z x-y,x,z -y,x-y,z -x,-y,z -x+y,-x,z y,-x+y,z ---------------------- Hermann-Mauguin symbol: P 61 international table number: 169 Hall symbol: P 61 primitive Hall symbol: P 6z1 lattice type: -P: centrosymmetric primitive rotation term 1 input code: 61; primitive code: 6z1 order: 6; axisType: z; translation: 1 operator: x-y,x,z+1/6 Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 2.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z x-y,x,z+1/6 -y,x-y,z+1/3 -x,-y,z+1/2 -x+y,-x,z+2/3 y,-x+y,z+5/6 ---------------------- Hermann-Mauguin symbol: P 65 international table number: 170 Hall symbol: P 65 primitive Hall symbol: P 6z5 lattice type: -P: centrosymmetric primitive rotation term 1 input code: 65; primitive code: 6z5 order: 6; axisType: z; translation: 5 operator: x-y,x,z+5/6 Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 10.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z x-y,x,z+5/6 -y,x-y,z+2/3 -x,-y,z+1/2 -x+y,-x,z+1/3 y,-x+y,z+1/6 ---------------------- Hermann-Mauguin symbol: P 62 international table number: 171 Hall symbol: P 62 primitive Hall symbol: P 6z2 lattice type: -P: centrosymmetric primitive rotation term 1 input code: 62; primitive code: 6z2 order: 6; axisType: z; translation: 2 operator: x-y,x,z+1/3 Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 4.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z x-y,x,z+1/3 -y,x-y,z+2/3 -x,-y,z -x+y,-x,z+1/3 y,-x+y,z+2/3 ---------------------- Hermann-Mauguin symbol: P 64 international table number: 172 Hall symbol: P 64 primitive Hall symbol: P 6z4 lattice type: -P: centrosymmetric primitive rotation term 1 input code: 64; primitive code: 6z4 order: 6; axisType: z; translation: 4 operator: x-y,x,z+2/3 Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 8.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z x-y,x,z+2/3 -y,x-y,z+1/3 -x,-y,z -x+y,-x,z+2/3 y,-x+y,z+1/3 ---------------------- Hermann-Mauguin symbol: P 63 international table number: 173 Hall symbol: P 6c primitive Hall symbol: P 6zc lattice type: -P: centrosymmetric primitive rotation term 1 input code: 6c; primitive code: 6zc order: 6; axisType: z; translation: c operator: x-y,x,z+1/2 Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z x-y,x,z+1/2 -y,x-y,z -x,-y,z+1/2 -x+y,-x,z y,-x+y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 63 international table number: 173 Hall symbol: P 63 primitive Hall symbol: P 6z lattice type: -P: centrosymmetric primitive rotation term 1 input code: 63; primitive code: 6z order: 6; axisType: z operator: x-y,x,z Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z x-y,x,z -y,x-y,z -x,-y,z -x+y,-x,z y,-x+y,z ---------------------- Hermann-Mauguin symbol: P -6 international table number: 174 Hall symbol: P -6 primitive Hall symbol: P -6z lattice type: -P: centrosymmetric primitive rotation term 1 input code: -6; primitive code: -6z order: 6 (improper axis); axisType: z operator: -x+y,-x,-z Seitz matrix(12ths): [ [-1.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (6): x,y,z -x+y,-x,-z -y,x-y,z x,y,-z -x+y,-x,z -y,x-y,-z ---------------------- Hermann-Mauguin symbol: P 6/m international table number: 175 Hall symbol: -P 6 primitive Hall symbol: P 6z -1 lattice type: P: primitive rotation term 1 input code: 6; primitive code: 6z order: 6; axisType: z operator: x-y,x,z Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z x-y,x,z -y,x-y,z -x,-y,z -x+y,-x,z y,-x+y,z -x,-y,-z -x+y,-x,-z y,-x+y,-z x,y,-z x-y,x,-z -y,x-y,-z ---------------------- Hermann-Mauguin symbol: P 63/m international table number: 176 Hall symbol: -P 6c primitive Hall symbol: P 6zc -1 lattice type: P: primitive rotation term 1 input code: 6c; primitive code: 6zc order: 6; axisType: z; translation: c operator: x-y,x,z+1/2 Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z x-y,x,z+1/2 -y,x-y,z -x,-y,z+1/2 -x+y,-x,z y,-x+y,z+1/2 -x,-y,-z -x+y,-x,-z+1/2 y,-x+y,-z x,y,-z+1/2 x-y,x,-z -y,x-y,-z+1/2 ---------------------- Hermann-Mauguin symbol: P 63/m international table number: 176 Hall symbol: -P 63 primitive Hall symbol: P 6z -1 lattice type: P: primitive rotation term 1 input code: 63; primitive code: 6z order: 6; axisType: z operator: x-y,x,z Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z x-y,x,z -y,x-y,z -x,-y,z -x+y,-x,z y,-x+y,z -x,-y,-z -x+y,-x,-z y,-x+y,-z x,y,-z x-y,x,-z -y,x-y,-z ---------------------- Hermann-Mauguin symbol: P 6 2 2 international table number: 177 Hall symbol: P 6 2 primitive Hall symbol: P 6z 2' lattice type: -P: centrosymmetric primitive rotation term 1 input code: 6; primitive code: 6z order: 6; axisType: z operator: x-y,x,z Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2' order: 2; axisType: ' operator: -y,-x,-z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z x-y,x,z -y,x-y,z -x,-y,z -x+y,-x,z y,-x+y,z -y,-x,-z -x,-x+y,-z -x+y,y,-z y,x,-z x,x-y,-z x-y,-y,-z ---------------------- Hermann-Mauguin symbol: P 61 2 2 international table number: 178 Hall symbol: P 61 2 (0 0 5) primitive Hall symbol: P 6z1 2' (0 0 5) lattice type: -P: centrosymmetric primitive rotation term 1 input code: 61; primitive code: 6z1 order: 6; axisType: z; translation: 1; vector offset: (0 0 5) operator: x-y,x,z+1/6 Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 2.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2' order: 2; axisType: '; vector offset: (0 0 5) operator: -y,-x,-z+5/6 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 10.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z x-y,x,z+1/6 -y,x-y,z+1/3 -x,-y,z+1/2 -x+y,-x,z+2/3 y,-x+y,z+5/6 -y,-x,-z+5/6 -x,-x+y,-z+2/3 -x+y,y,-z+1/2 y,x,-z+1/3 x,x-y,-z+1/6 x-y,-y,-z ---------------------- Hermann-Mauguin symbol: P 65 2 2 international table number: 179 Hall symbol: P 65 2 (0 0 1) primitive Hall symbol: P 6z5 2' (0 0 1) lattice type: -P: centrosymmetric primitive rotation term 1 input code: 65; primitive code: 6z5 order: 6; axisType: z; translation: 5; vector offset: (0 0 1) operator: x-y,x,z+5/6 Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 10.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2' order: 2; axisType: '; vector offset: (0 0 1) operator: -y,-x,-z+1/6 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 2.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z x-y,x,z+5/6 -y,x-y,z+2/3 -x,-y,z+1/2 -x+y,-x,z+1/3 y,-x+y,z+1/6 -y,-x,-z+1/6 -x,-x+y,-z+1/3 -x+y,y,-z+1/2 y,x,-z+2/3 x,x-y,-z+5/6 x-y,-y,-z ---------------------- Hermann-Mauguin symbol: P 62 2 2 international table number: 180 Hall symbol: P 62 2 (0 0 4) primitive Hall symbol: P 6z2 2' (0 0 4) lattice type: -P: centrosymmetric primitive rotation term 1 input code: 62; primitive code: 6z2 order: 6; axisType: z; translation: 2; vector offset: (0 0 4) operator: x-y,x,z+1/3 Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 4.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2' order: 2; axisType: '; vector offset: (0 0 4) operator: -y,-x,-z+2/3 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 8.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z x-y,x,z+1/3 -y,x-y,z+2/3 -x,-y,z -x+y,-x,z+1/3 y,-x+y,z+2/3 -y,-x,-z+2/3 -x,-x+y,-z+1/3 -x+y,y,-z y,x,-z+2/3 x,x-y,-z+1/3 x-y,-y,-z ---------------------- Hermann-Mauguin symbol: P 64 2 2 international table number: 181 Hall symbol: P 64 2 (0 0 2) primitive Hall symbol: P 6z4 2' (0 0 2) lattice type: -P: centrosymmetric primitive rotation term 1 input code: 64; primitive code: 6z4 order: 6; axisType: z; translation: 4; vector offset: (0 0 2) operator: x-y,x,z+2/3 Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 8.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2' order: 2; axisType: '; vector offset: (0 0 2) operator: -y,-x,-z+1/3 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 4.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z x-y,x,z+2/3 -y,x-y,z+1/3 -x,-y,z -x+y,-x,z+2/3 y,-x+y,z+1/3 -y,-x,-z+1/3 -x,-x+y,-z+2/3 -x+y,y,-z y,x,-z+1/3 x,x-y,-z+2/3 x-y,-y,-z ---------------------- Hermann-Mauguin symbol: P 63 2 2 international table number: 182 Hall symbol: P 6c 2c primitive Hall symbol: P 6zc 2'c lattice type: -P: centrosymmetric primitive rotation term 1 input code: 6c; primitive code: 6zc order: 6; axisType: z; translation: c operator: x-y,x,z+1/2 Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2'c order: 2; axisType: '; translation: c operator: -y,-x,-z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z x-y,x,z+1/2 -y,x-y,z -x,-y,z+1/2 -x+y,-x,z y,-x+y,z+1/2 -y,-x,-z+1/2 -x,-x+y,-z -x+y,y,-z+1/2 y,x,-z x,x-y,-z+1/2 x-y,-y,-z ---------------------- Hermann-Mauguin symbol: P 63 2 2 international table number: 182 Hall symbol: P 63 2c primitive Hall symbol: P 6z 2'c lattice type: -P: centrosymmetric primitive rotation term 1 input code: 63; primitive code: 6z order: 6; axisType: z operator: x-y,x,z Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2'c order: 2; axisType: '; translation: c operator: -y,-x,-z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z x-y,x,z -y,x-y,z -x,-y,z -x+y,-x,z y,-x+y,z -y,-x,-z+1/2 -x,-x+y,-z+1/2 -x+y,y,-z+1/2 y,x,-z+1/2 x,x-y,-z+1/2 x-y,-y,-z+1/2 ---------------------- Hermann-Mauguin symbol: P 6 m m international table number: 183 Hall symbol: P 6 -2 primitive Hall symbol: P 6z -2' lattice type: -P: centrosymmetric primitive rotation term 1 input code: 6; primitive code: 6z order: 6; axisType: z operator: x-y,x,z Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2' order: 2 (improper axis); axisType: ' operator: y,x,z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z x-y,x,z -y,x-y,z -x,-y,z -x+y,-x,z y,-x+y,z y,x,z x,x-y,z x-y,-y,z -y,-x,z -x,-x+y,z -x+y,y,z ---------------------- Hermann-Mauguin symbol: P 6 c c international table number: 184 Hall symbol: P 6 -2c primitive Hall symbol: P 6z -2'c lattice type: -P: centrosymmetric primitive rotation term 1 input code: 6; primitive code: 6z order: 6; axisType: z operator: x-y,x,z Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2'c order: 2 (improper axis); axisType: '; translation: c operator: y,x,z+1/2 Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z x-y,x,z -y,x-y,z -x,-y,z -x+y,-x,z y,-x+y,z y,x,z+1/2 x,x-y,z+1/2 x-y,-y,z+1/2 -y,-x,z+1/2 -x,-x+y,z+1/2 -x+y,y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 63 c m international table number: 185 Hall symbol: P 6c -2 primitive Hall symbol: P 6zc -2' lattice type: -P: centrosymmetric primitive rotation term 1 input code: 6c; primitive code: 6zc order: 6; axisType: z; translation: c operator: x-y,x,z+1/2 Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2' order: 2 (improper axis); axisType: ' operator: y,x,z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z x-y,x,z+1/2 -y,x-y,z -x,-y,z+1/2 -x+y,-x,z y,-x+y,z+1/2 y,x,z x,x-y,z+1/2 x-y,-y,z -y,-x,z+1/2 -x,-x+y,z -x+y,y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 63 c m international table number: 185 Hall symbol: P 63 -2 primitive Hall symbol: P 6z -2' lattice type: -P: centrosymmetric primitive rotation term 1 input code: 63; primitive code: 6z order: 6; axisType: z operator: x-y,x,z Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2' order: 2 (improper axis); axisType: ' operator: y,x,z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z x-y,x,z -y,x-y,z -x,-y,z -x+y,-x,z y,-x+y,z y,x,z x,x-y,z x-y,-y,z -y,-x,z -x,-x+y,z -x+y,y,z ---------------------- Hermann-Mauguin symbol: P 63 m c international table number: 186 Hall symbol: P 6c -2c primitive Hall symbol: P 6zc -2'c lattice type: -P: centrosymmetric primitive rotation term 1 input code: 6c; primitive code: 6zc order: 6; axisType: z; translation: c operator: x-y,x,z+1/2 Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2'c order: 2 (improper axis); axisType: '; translation: c operator: y,x,z+1/2 Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z x-y,x,z+1/2 -y,x-y,z -x,-y,z+1/2 -x+y,-x,z y,-x+y,z+1/2 y,x,z+1/2 x,x-y,z x-y,-y,z+1/2 -y,-x,z -x,-x+y,z+1/2 -x+y,y,z ---------------------- Hermann-Mauguin symbol: P 63 m c international table number: 186 Hall symbol: P 63 -2c primitive Hall symbol: P 6z -2'c lattice type: -P: centrosymmetric primitive rotation term 1 input code: 63; primitive code: 6z order: 6; axisType: z operator: x-y,x,z Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2'c order: 2 (improper axis); axisType: '; translation: c operator: y,x,z+1/2 Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z x-y,x,z -y,x-y,z -x,-y,z -x+y,-x,z y,-x+y,z y,x,z+1/2 x,x-y,z+1/2 x-y,-y,z+1/2 -y,-x,z+1/2 -x,-x+y,z+1/2 -x+y,y,z+1/2 ---------------------- Hermann-Mauguin symbol: P -6 m 2 international table number: 187 Hall symbol: P -6 2 primitive Hall symbol: P -6z 2' lattice type: -P: centrosymmetric primitive rotation term 1 input code: -6; primitive code: -6z order: 6 (improper axis); axisType: z operator: -x+y,-x,-z Seitz matrix(12ths): [ [-1.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2' order: 2; axisType: ' operator: -y,-x,-z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z -x+y,-x,-z -y,x-y,z x,y,-z -x+y,-x,z -y,x-y,-z -y,-x,-z x,x-y,z -x+y,y,-z -y,-x,z x,x-y,-z -x+y,y,z ---------------------- Hermann-Mauguin symbol: P -6 c 2 international table number: 188 Hall symbol: P -6c 2 primitive Hall symbol: P -6zc 2' lattice type: -P: centrosymmetric primitive rotation term 1 input code: -6c; primitive code: -6zc order: 6 (improper axis); axisType: z; translation: c operator: -x+y,-x,-z+1/2 Seitz matrix(12ths): [ [-1.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2' order: 2; axisType: ' operator: -y,-x,-z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z -x+y,-x,-z+1/2 -y,x-y,z x,y,-z+1/2 -x+y,-x,z -y,x-y,-z+1/2 -y,-x,-z x,x-y,z+1/2 -x+y,y,-z -y,-x,z+1/2 x,x-y,-z -x+y,y,z+1/2 ---------------------- Hermann-Mauguin symbol: P -6 2 m international table number: 189 Hall symbol: P -6 -2 primitive Hall symbol: P -6z -2' lattice type: -P: centrosymmetric primitive rotation term 1 input code: -6; primitive code: -6z order: 6 (improper axis); axisType: z operator: -x+y,-x,-z Seitz matrix(12ths): [ [-1.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2; primitive code: -2' order: 2 (improper axis); axisType: ' operator: y,x,z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z -x+y,-x,-z -y,x-y,z x,y,-z -x+y,-x,z -y,x-y,-z y,x,z -x,-x+y,-z x-y,-y,z y,x,-z -x,-x+y,z x-y,-y,-z ---------------------- Hermann-Mauguin symbol: P -6 2 c international table number: 190 Hall symbol: P -6c -2c primitive Hall symbol: P -6zc -2'c lattice type: -P: centrosymmetric primitive rotation term 1 input code: -6c; primitive code: -6zc order: 6 (improper axis); axisType: z; translation: c operator: -x+y,-x,-z+1/2 Seitz matrix(12ths): [ [-1.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: -2c; primitive code: -2'c order: 2 (improper axis); axisType: '; translation: c operator: y,x,z+1/2 Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z -x+y,-x,-z+1/2 -y,x-y,z x,y,-z+1/2 -x+y,-x,z -y,x-y,-z+1/2 y,x,z+1/2 -x,-x+y,-z x-y,-y,z+1/2 y,x,-z -x,-x+y,z+1/2 x-y,-y,-z ---------------------- Hermann-Mauguin symbol: P 6/m m m international table number: 191 Hall symbol: -P 6 2 primitive Hall symbol: P 6z 2' -1 lattice type: P: primitive rotation term 1 input code: 6; primitive code: 6z order: 6; axisType: z operator: x-y,x,z Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2' order: 2; axisType: ' operator: -y,-x,-z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (24): x,y,z x-y,x,z -y,x-y,z -x,-y,z -x+y,-x,z y,-x+y,z -y,-x,-z -x,-x+y,-z -x+y,y,-z y,x,-z x,x-y,-z x-y,-y,-z -x,-y,-z -x+y,-x,-z y,-x+y,-z x,y,-z x-y,x,-z -y,x-y,-z y,x,z x,x-y,z x-y,-y,z -y,-x,z -x,-x+y,z -x+y,y,z ---------------------- Hermann-Mauguin symbol: P 6/m c c international table number: 192 Hall symbol: -P 6 2c primitive Hall symbol: P 6z 2'c -1 lattice type: P: primitive rotation term 1 input code: 6; primitive code: 6z order: 6; axisType: z operator: x-y,x,z Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2'c order: 2; axisType: '; translation: c operator: -y,-x,-z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (24): x,y,z x-y,x,z -y,x-y,z -x,-y,z -x+y,-x,z y,-x+y,z -y,-x,-z+1/2 -x,-x+y,-z+1/2 -x+y,y,-z+1/2 y,x,-z+1/2 x,x-y,-z+1/2 x-y,-y,-z+1/2 -x,-y,-z -x+y,-x,-z y,-x+y,-z x,y,-z x-y,x,-z -y,x-y,-z y,x,z+1/2 x,x-y,z+1/2 x-y,-y,z+1/2 -y,-x,z+1/2 -x,-x+y,z+1/2 -x+y,y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 63/m c m international table number: 193 Hall symbol: -P 6c 2 primitive Hall symbol: P 6zc 2' -1 lattice type: P: primitive rotation term 1 input code: 6c; primitive code: 6zc order: 6; axisType: z; translation: c operator: x-y,x,z+1/2 Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2' order: 2; axisType: ' operator: -y,-x,-z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (24): x,y,z x-y,x,z+1/2 -y,x-y,z -x,-y,z+1/2 -x+y,-x,z y,-x+y,z+1/2 -y,-x,-z -x,-x+y,-z+1/2 -x+y,y,-z y,x,-z+1/2 x,x-y,-z x-y,-y,-z+1/2 -x,-y,-z -x+y,-x,-z+1/2 y,-x+y,-z x,y,-z+1/2 x-y,x,-z -y,x-y,-z+1/2 y,x,z x,x-y,z+1/2 x-y,-y,z -y,-x,z+1/2 -x,-x+y,z -x+y,y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 63/m c m international table number: 193 Hall symbol: -P 63 2 primitive Hall symbol: P 6z 2' -1 lattice type: P: primitive rotation term 1 input code: 63; primitive code: 6z order: 6; axisType: z operator: x-y,x,z Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2' order: 2; axisType: ' operator: -y,-x,-z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (24): x,y,z x-y,x,z -y,x-y,z -x,-y,z -x+y,-x,z y,-x+y,z -y,-x,-z -x,-x+y,-z -x+y,y,-z y,x,-z x,x-y,-z x-y,-y,-z -x,-y,-z -x+y,-x,-z y,-x+y,-z x,y,-z x-y,x,-z -y,x-y,-z y,x,z x,x-y,z x-y,-y,z -y,-x,z -x,-x+y,z -x+y,y,z ---------------------- Hermann-Mauguin symbol: P 63/m m c international table number: 194 Hall symbol: -P 6c 2c primitive Hall symbol: P 6zc 2'c -1 lattice type: P: primitive rotation term 1 input code: 6c; primitive code: 6zc order: 6; axisType: z; translation: c operator: x-y,x,z+1/2 Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2'c order: 2; axisType: '; translation: c operator: -y,-x,-z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (24): x,y,z x-y,x,z+1/2 -y,x-y,z -x,-y,z+1/2 -x+y,-x,z y,-x+y,z+1/2 -y,-x,-z+1/2 -x,-x+y,-z -x+y,y,-z+1/2 y,x,-z x,x-y,-z+1/2 x-y,-y,-z -x,-y,-z -x+y,-x,-z+1/2 y,-x+y,-z x,y,-z+1/2 x-y,x,-z -y,x-y,-z+1/2 y,x,z+1/2 x,x-y,z x-y,-y,z+1/2 -y,-x,z -x,-x+y,z+1/2 -x+y,y,z ---------------------- Hermann-Mauguin symbol: P 63/m m c international table number: 194 Hall symbol: -P 63 2c primitive Hall symbol: P 6z 2'c -1 lattice type: P: primitive rotation term 1 input code: 63; primitive code: 6z order: 6; axisType: z operator: x-y,x,z Seitz matrix(12ths): [ [1.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2'c order: 2; axisType: '; translation: c operator: -y,-x,-z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (24): x,y,z x-y,x,z -y,x-y,z -x,-y,z -x+y,-x,z y,-x+y,z -y,-x,-z+1/2 -x,-x+y,-z+1/2 -x+y,y,-z+1/2 y,x,-z+1/2 x,x-y,-z+1/2 x-y,-y,-z+1/2 -x,-y,-z -x+y,-x,-z y,-x+y,-z x,y,-z x-y,x,-z -y,x-y,-z y,x,z+1/2 x,x-y,z+1/2 x-y,-y,z+1/2 -y,-x,z+1/2 -x,-x+y,z+1/2 -x+y,y,z+1/2 ---------------------- Hermann-Mauguin symbol: P 2 3 international table number: 195 Hall symbol: P 2 2 3 primitive Hall symbol: P 2z 2x 3* lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z -x,-y,z x,-y,-z -x,y,-z z,x,y z,-x,-y -z,x,-y -z,-x,y y,z,x -y,z,-x -y,-z,x y,-z,-x ---------------------- Hermann-Mauguin symbol: F 2 3 international table number: 196 Hall symbol: F 2 2 3 primitive Hall symbol: P 2z 2x 3* 1ab 1bc 1ac lattice type: -F: centrosymmetric face-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 6 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (48): x,y,z -x,-y,z x,-y,-z -x,y,-z z,x,y z,-x,-y -z,x,-y -z,-x,y y,z,x -y,z,-x -y,-z,x y,-z,-x x+1/2,y+1/2,z -x+1/2,-y+1/2,z x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z z+1/2,x+1/2,y z+1/2,-x+1/2,-y -z+1/2,x+1/2,-y -z+1/2,-x+1/2,y y+1/2,z+1/2,x -y+1/2,z+1/2,-x -y+1/2,-z+1/2,x y+1/2,-z+1/2,-x x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 x+1/2,-y,-z+1/2 -x+1/2,y,-z+1/2 z+1/2,x,y+1/2 z+1/2,-x,-y+1/2 -z+1/2,x,-y+1/2 -z+1/2,-x,y+1/2 y+1/2,z,x+1/2 -y+1/2,z,-x+1/2 -y+1/2,-z,x+1/2 y+1/2,-z,-x+1/2 x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 x,-y+1/2,-z+1/2 -x,y+1/2,-z+1/2 z,x+1/2,y+1/2 z,-x+1/2,-y+1/2 -z,x+1/2,-y+1/2 -z,-x+1/2,y+1/2 y,z+1/2,x+1/2 -y,z+1/2,-x+1/2 -y,-z+1/2,x+1/2 y,-z+1/2,-x+1/2 ---------------------- Hermann-Mauguin symbol: I 2 3 international table number: 197 Hall symbol: I 2 2 3 primitive Hall symbol: P 2z 2x 3* 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (24): x,y,z -x,-y,z x,-y,-z -x,y,-z z,x,y z,-x,-y -z,x,-y -z,-x,y y,z,x -y,z,-x -y,-z,x y,-z,-x x+1/2,y+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -x+1/2,y+1/2,-z+1/2 z+1/2,x+1/2,y+1/2 z+1/2,-x+1/2,-y+1/2 -z+1/2,x+1/2,-y+1/2 -z+1/2,-x+1/2,y+1/2 y+1/2,z+1/2,x+1/2 -y+1/2,z+1/2,-x+1/2 -y+1/2,-z+1/2,x+1/2 y+1/2,-z+1/2,-x+1/2 ---------------------- Hermann-Mauguin symbol: P 21 3 international table number: 198 Hall symbol: P 2ac 2ab 3 primitive Hall symbol: P 2zac 2xab 3* lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2ac; primitive code: 2zac order: 2; axisType: z; translation: ac operator: -x+1/2,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (12): x,y,z -x+1/2,-y,z+1/2 x+1/2,-y+1/2,-z -x,y+1/2,-z+1/2 z,x,y z+1/2,-x+1/2,-y -z,x+1/2,-y+1/2 -z+1/2,-x,y+1/2 y,z,x -y,z+1/2,-x+1/2 -y+1/2,-z,x+1/2 y+1/2,-z+1/2,-x ---------------------- Hermann-Mauguin symbol: I 21 3 international table number: 199 Hall symbol: I 2b 2c 3 primitive Hall symbol: P 2zb 2xc 3* 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (24): x,y,z -x,-y+1/2,z x,-y,-z+1/2 -x,y+1/2,-z+1/2 z,x,y z,-x,-y+1/2 -z+1/2,x,-y -z+1/2,-x,y+1/2 y,z,x -y+1/2,z,-x -y,-z+1/2,x y+1/2,-z+1/2,-x x+1/2,y+1/2,z+1/2 -x+1/2,-y,z+1/2 x+1/2,-y+1/2,-z -x+1/2,y,-z z+1/2,x+1/2,y+1/2 z+1/2,-x+1/2,-y -z,x+1/2,-y+1/2 -z,-x+1/2,y y+1/2,z+1/2,x+1/2 -y,z+1/2,-x+1/2 -y+1/2,-z,x+1/2 y,-z,-x+1/2 ---------------------- Hermann-Mauguin symbol: P m -3 international table number: 200 Hall symbol: -P 2 2 3 primitive Hall symbol: P 2z 2x 3* -1 lattice type: P: primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (24): x,y,z -x,-y,z x,-y,-z -x,y,-z z,x,y z,-x,-y -z,x,-y -z,-x,y y,z,x -y,z,-x -y,-z,x y,-z,-x -x,-y,-z x,y,-z -x,y,z x,-y,z -z,-x,-y -z,x,y z,-x,y z,x,-y -y,-z,-x y,-z,x y,z,-x -y,z,x ---------------------- Hermann-Mauguin symbol: P n -3:1 international table number: 201:1 Hall symbol: P 2 2 3 -1n primitive Hall symbol: P 2z 2x 3* -1n lattice type: -P: centrosymmetric primitive rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1n; primitive code: -1n order: 1 (improper axis); translation: n operator: -x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (24): x,y,z -x,-y,z x,-y,-z -x,y,-z z,x,y z,-x,-y -z,x,-y -z,-x,y y,z,x -y,z,-x -y,-z,x y,-z,-x -x+1/2,-y+1/2,-z+1/2 x+1/2,y+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 -z+1/2,-x+1/2,-y+1/2 -z+1/2,x+1/2,y+1/2 z+1/2,-x+1/2,y+1/2 z+1/2,x+1/2,-y+1/2 -y+1/2,-z+1/2,-x+1/2 y+1/2,-z+1/2,x+1/2 y+1/2,z+1/2,-x+1/2 -y+1/2,z+1/2,x+1/2 ---------------------- Hermann-Mauguin symbol: P n -3:2 international table number: 201:2 Hall symbol: -P 2ab 2bc 3 primitive Hall symbol: P 2zab 2xbc 3* -1 lattice type: P: primitive rotation term 1 input code: 2ab; primitive code: 2zab order: 2; axisType: z; translation: ab operator: -x+1/2,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2bc; primitive code: 2xbc order: 2; axisType: x; translation: bc operator: x,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (24): x,y,z -x+1/2,-y+1/2,z x,-y+1/2,-z+1/2 -x+1/2,y,-z+1/2 z,x,y z,-x+1/2,-y+1/2 -z+1/2,x,-y+1/2 -z+1/2,-x+1/2,y y,z,x -y+1/2,z,-x+1/2 -y+1/2,-z+1/2,x y,-z+1/2,-x+1/2 -x,-y,-z x+1/2,y+1/2,-z -x,y+1/2,z+1/2 x+1/2,-y,z+1/2 -z,-x,-y -z,x+1/2,y+1/2 z+1/2,-x,y+1/2 z+1/2,x+1/2,-y -y,-z,-x y+1/2,-z,x+1/2 y+1/2,z+1/2,-x -y,z+1/2,x+1/2 ---------------------- Hermann-Mauguin symbol: F m -3 international table number: 202 Hall symbol: -F 2 2 3 primitive Hall symbol: P 2z 2x 3* 1ab 1bc 1ac -1 lattice type: F: face-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 6 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 7 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (96): x,y,z -x,-y,z x,-y,-z -x,y,-z z,x,y z,-x,-y -z,x,-y -z,-x,y y,z,x -y,z,-x -y,-z,x y,-z,-x x+1/2,y+1/2,z -x+1/2,-y+1/2,z x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z z+1/2,x+1/2,y z+1/2,-x+1/2,-y -z+1/2,x+1/2,-y -z+1/2,-x+1/2,y y+1/2,z+1/2,x -y+1/2,z+1/2,-x -y+1/2,-z+1/2,x y+1/2,-z+1/2,-x x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 x+1/2,-y,-z+1/2 -x+1/2,y,-z+1/2 z+1/2,x,y+1/2 z+1/2,-x,-y+1/2 -z+1/2,x,-y+1/2 -z+1/2,-x,y+1/2 y+1/2,z,x+1/2 -y+1/2,z,-x+1/2 -y+1/2,-z,x+1/2 y+1/2,-z,-x+1/2 x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 x,-y+1/2,-z+1/2 -x,y+1/2,-z+1/2 z,x+1/2,y+1/2 z,-x+1/2,-y+1/2 -z,x+1/2,-y+1/2 -z,-x+1/2,y+1/2 y,z+1/2,x+1/2 -y,z+1/2,-x+1/2 -y,-z+1/2,x+1/2 y,-z+1/2,-x+1/2 -x,-y,-z x,y,-z -x,y,z x,-y,z -z,-x,-y -z,x,y z,-x,y z,x,-y -y,-z,-x y,-z,x y,z,-x -y,z,x -x+1/2,-y+1/2,-z x+1/2,y+1/2,-z -x+1/2,y+1/2,z x+1/2,-y+1/2,z -z+1/2,-x+1/2,-y -z+1/2,x+1/2,y z+1/2,-x+1/2,y z+1/2,x+1/2,-y -y+1/2,-z+1/2,-x y+1/2,-z+1/2,x y+1/2,z+1/2,-x -y+1/2,z+1/2,x -x+1/2,-y,-z+1/2 x+1/2,y,-z+1/2 -x+1/2,y,z+1/2 x+1/2,-y,z+1/2 -z+1/2,-x,-y+1/2 -z+1/2,x,y+1/2 z+1/2,-x,y+1/2 z+1/2,x,-y+1/2 -y+1/2,-z,-x+1/2 y+1/2,-z,x+1/2 y+1/2,z,-x+1/2 -y+1/2,z,x+1/2 -x,-y+1/2,-z+1/2 x,y+1/2,-z+1/2 -x,y+1/2,z+1/2 x,-y+1/2,z+1/2 -z,-x+1/2,-y+1/2 -z,x+1/2,y+1/2 z,-x+1/2,y+1/2 z,x+1/2,-y+1/2 -y,-z+1/2,-x+1/2 y,-z+1/2,x+1/2 y,z+1/2,-x+1/2 -y,z+1/2,x+1/2 ---------------------- Hermann-Mauguin symbol: F d -3:1 international table number: 203:1 Hall symbol: F 2 2 3 -1d primitive Hall symbol: P 2z 2x 3* -1d 1ab 1bc 1ac lattice type: -F: centrosymmetric face-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1d; primitive code: -1d order: 1 (improper axis); translation: d operator: -x+1/4,-y+1/4,-z+1/4 Seitz matrix(12ths): [ [-1.0 0.0 0.0 3.0] [0.0 -1.0 0.0 3.0] [0.0 0.0 -1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 6 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 7 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (96): x,y,z -x,-y,z x,-y,-z -x,y,-z z,x,y z,-x,-y -z,x,-y -z,-x,y y,z,x -y,z,-x -y,-z,x y,-z,-x -x+1/4,-y+1/4,-z+1/4 x+1/4,y+1/4,-z+1/4 -x+1/4,y+1/4,z+1/4 x+1/4,-y+1/4,z+1/4 -z+1/4,-x+1/4,-y+1/4 -z+1/4,x+1/4,y+1/4 z+1/4,-x+1/4,y+1/4 z+1/4,x+1/4,-y+1/4 -y+1/4,-z+1/4,-x+1/4 y+1/4,-z+1/4,x+1/4 y+1/4,z+1/4,-x+1/4 -y+1/4,z+1/4,x+1/4 -x+3/4,-y+3/4,-z+1/4 x+3/4,y+3/4,-z+1/4 -x+3/4,y+3/4,z+1/4 x+3/4,-y+3/4,z+1/4 -z+3/4,-x+3/4,-y+1/4 -z+3/4,x+3/4,y+1/4 z+3/4,-x+3/4,y+1/4 z+3/4,x+3/4,-y+1/4 -y+3/4,-z+3/4,-x+1/4 y+3/4,-z+3/4,x+1/4 y+3/4,z+3/4,-x+1/4 -y+3/4,z+3/4,x+1/4 x+1/2,y+1/2,z -x+1/2,-y+1/2,z x+1/2,-y+1/2,-z -x+1/2,y+1/2,-z z+1/2,x+1/2,y z+1/2,-x+1/2,-y -z+1/2,x+1/2,-y -z+1/2,-x+1/2,y y+1/2,z+1/2,x -y+1/2,z+1/2,-x -y+1/2,-z+1/2,x y+1/2,-z+1/2,-x -x+3/4,-y+1/4,-z+3/4 x+3/4,y+1/4,-z+3/4 -x+3/4,y+1/4,z+3/4 x+3/4,-y+1/4,z+3/4 -z+3/4,-x+1/4,-y+3/4 -z+3/4,x+1/4,y+3/4 z+3/4,-x+1/4,y+3/4 z+3/4,x+1/4,-y+3/4 -y+3/4,-z+1/4,-x+3/4 y+3/4,-z+1/4,x+3/4 y+3/4,z+1/4,-x+3/4 -y+3/4,z+1/4,x+3/4 x+1/2,y,z+1/2 -x+1/2,-y,z+1/2 x+1/2,-y,-z+1/2 -x+1/2,y,-z+1/2 z+1/2,x,y+1/2 z+1/2,-x,-y+1/2 -z+1/2,x,-y+1/2 -z+1/2,-x,y+1/2 y+1/2,z,x+1/2 -y+1/2,z,-x+1/2 -y+1/2,-z,x+1/2 y+1/2,-z,-x+1/2 x,y+1/2,z+1/2 -x,-y+1/2,z+1/2 x,-y+1/2,-z+1/2 -x,y+1/2,-z+1/2 z,x+1/2,y+1/2 z,-x+1/2,-y+1/2 -z,x+1/2,-y+1/2 -z,-x+1/2,y+1/2 y,z+1/2,x+1/2 -y,z+1/2,-x+1/2 -y,-z+1/2,x+1/2 y,-z+1/2,-x+1/2 -x+1/4,-y+3/4,-z+3/4 x+1/4,y+3/4,-z+3/4 -x+1/4,y+3/4,z+3/4 x+1/4,-y+3/4,z+3/4 -z+1/4,-x+3/4,-y+3/4 -z+1/4,x+3/4,y+3/4 z+1/4,-x+3/4,y+3/4 z+1/4,x+3/4,-y+3/4 -y+1/4,-z+3/4,-x+3/4 y+1/4,-z+3/4,x+3/4 y+1/4,z+3/4,-x+3/4 -y+1/4,z+3/4,x+3/4 ---------------------- Hermann-Mauguin symbol: F d -3:2 international table number: 203:2 Hall symbol: -F 2uv 2vw 3 primitive Hall symbol: P 2zuv 2xvw 3* 1ab 1bc 1ac -1 lattice type: F: face-centered rotation term 1 input code: 2uv; primitive code: 2zuv order: 2; axisType: z; translation: uv operator: -x+1/4,-y+1/4,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 3.0] [0.0 -1.0 0.0 3.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2vw; primitive code: 2xvw order: 2; axisType: x; translation: vw operator: x,-y+1/4,-z+1/4 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 3.0] [0.0 0.0 -1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 6 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 7 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (96): x,y,z -x+1/4,-y+1/4,z x,-y+1/4,-z+1/4 -x+1/4,y,-z+1/4 z,x,y z,-x+1/4,-y+1/4 -z+1/4,x,-y+1/4 -z+1/4,-x+1/4,y y,z,x -y+1/4,z,-x+1/4 -y+1/4,-z+1/4,x y,-z+1/4,-x+1/4 x+1/2,y+1/2,z -x+3/4,-y+3/4,z x+1/2,-y+3/4,-z+1/4 -x+3/4,y+1/2,-z+1/4 z+1/2,x+1/2,y z+1/2,-x+3/4,-y+1/4 -z+3/4,x+1/2,-y+1/4 -z+3/4,-x+3/4,y y+1/2,z+1/2,x -y+3/4,z+1/2,-x+1/4 -y+3/4,-z+3/4,x y+1/2,-z+3/4,-x+1/4 x+1/2,y,z+1/2 -x+3/4,-y+1/4,z+1/2 x+1/2,-y+1/4,-z+3/4 -x+3/4,y,-z+3/4 z+1/2,x,y+1/2 z+1/2,-x+1/4,-y+3/4 -z+3/4,x,-y+3/4 -z+3/4,-x+1/4,y+1/2 y+1/2,z,x+1/2 -y+3/4,z,-x+3/4 -y+3/4,-z+1/4,x+1/2 y+1/2,-z+1/4,-x+3/4 x,y+1/2,z+1/2 -x+1/4,-y+3/4,z+1/2 x,-y+3/4,-z+3/4 -x+1/4,y+1/2,-z+3/4 z,x+1/2,y+1/2 z,-x+3/4,-y+3/4 -z+1/4,x+1/2,-y+3/4 -z+1/4,-x+3/4,y+1/2 y,z+1/2,x+1/2 -y+1/4,z+1/2,-x+3/4 -y+1/4,-z+3/4,x+1/2 y,-z+3/4,-x+3/4 -x,-y,-z x+3/4,y+3/4,-z -x,y+3/4,z+3/4 x+3/4,-y,z+3/4 -z,-x,-y -z,x+3/4,y+3/4 z+3/4,-x,y+3/4 z+3/4,x+3/4,-y -y,-z,-x y+3/4,-z,x+3/4 y+3/4,z+3/4,-x -y,z+3/4,x+3/4 -x+1/2,-y+1/2,-z x+1/4,y+1/4,-z -x+1/2,y+1/4,z+3/4 x+1/4,-y+1/2,z+3/4 -z+1/2,-x+1/2,-y -z+1/2,x+1/4,y+3/4 z+1/4,-x+1/2,y+3/4 z+1/4,x+1/4,-y -y+1/2,-z+1/2,-x y+1/4,-z+1/2,x+3/4 y+1/4,z+1/4,-x -y+1/2,z+1/4,x+3/4 -x+1/2,-y,-z+1/2 x+1/4,y+3/4,-z+1/2 -x+1/2,y+3/4,z+1/4 x+1/4,-y,z+1/4 -z+1/2,-x,-y+1/2 -z+1/2,x+3/4,y+1/4 z+1/4,-x,y+1/4 z+1/4,x+3/4,-y+1/2 -y+1/2,-z,-x+1/2 y+1/4,-z,x+1/4 y+1/4,z+3/4,-x+1/2 -y+1/2,z+3/4,x+1/4 -x,-y+1/2,-z+1/2 x+3/4,y+1/4,-z+1/2 -x,y+1/4,z+1/4 x+3/4,-y+1/2,z+1/4 -z,-x+1/2,-y+1/2 -z,x+1/4,y+1/4 z+3/4,-x+1/2,y+1/4 z+3/4,x+1/4,-y+1/2 -y,-z+1/2,-x+1/2 y+3/4,-z+1/2,x+1/4 y+3/4,z+1/4,-x+1/2 -y,z+1/4,x+1/4 ---------------------- Hermann-Mauguin symbol: I m -3 international table number: 204 Hall symbol: -I 2 2 3 primitive Hall symbol: P 2z 2x 3* 1n -1 lattice type: I: body-centered rotation term 1 input code: 2; primitive code: 2z order: 2; axisType: z operator: -x,-y,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (48): x,y,z -x,-y,z x,-y,-z -x,y,-z z,x,y z,-x,-y -z,x,-y -z,-x,y y,z,x -y,z,-x -y,-z,x y,-z,-x x+1/2,y+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -x+1/2,y+1/2,-z+1/2 z+1/2,x+1/2,y+1/2 z+1/2,-x+1/2,-y+1/2 -z+1/2,x+1/2,-y+1/2 -z+1/2,-x+1/2,y+1/2 y+1/2,z+1/2,x+1/2 -y+1/2,z+1/2,-x+1/2 -y+1/2,-z+1/2,x+1/2 y+1/2,-z+1/2,-x+1/2 -x+1/2,-y+1/2,-z+1/2 x+1/2,y+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 -z+1/2,-x+1/2,-y+1/2 -z+1/2,x+1/2,y+1/2 z+1/2,-x+1/2,y+1/2 z+1/2,x+1/2,-y+1/2 -y+1/2,-z+1/2,-x+1/2 y+1/2,-z+1/2,x+1/2 y+1/2,z+1/2,-x+1/2 -y+1/2,z+1/2,x+1/2 -x,-y,-z x,y,-z -x,y,z x,-y,z -z,-x,-y -z,x,y z,-x,y z,x,-y -y,-z,-x y,-z,x y,z,-x -y,z,x ---------------------- Hermann-Mauguin symbol: P a -3 international table number: 205 Hall symbol: -P 2ac 2ab 3 primitive Hall symbol: P 2zac 2xab 3* -1 lattice type: P: primitive rotation term 1 input code: 2ac; primitive code: 2zac order: 2; axisType: z; translation: ac operator: -x+1/2,-y,z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (24): x,y,z -x+1/2,-y,z+1/2 x+1/2,-y+1/2,-z -x,y+1/2,-z+1/2 z,x,y z+1/2,-x+1/2,-y -z,x+1/2,-y+1/2 -z+1/2,-x,y+1/2 y,z,x -y,z+1/2,-x+1/2 -y+1/2,-z,x+1/2 y+1/2,-z+1/2,-x -x,-y,-z x+1/2,y,-z+1/2 -x+1/2,y+1/2,z x,-y+1/2,z+1/2 -z,-x,-y -z+1/2,x+1/2,y z,-x+1/2,y+1/2 z+1/2,x,-y+1/2 -y,-z,-x y,-z+1/2,x+1/2 y+1/2,z,-x+1/2 -y+1/2,z+1/2,x ---------------------- Hermann-Mauguin symbol: I a -3 international table number: 206 Hall symbol: -I 2b 2c 3 primitive Hall symbol: P 2zb 2xc 3* 1n -1 lattice type: I: body-centered rotation term 1 input code: 2b; primitive code: 2zb order: 2; axisType: z; translation: b operator: -x,-y+1/2,z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (48): x,y,z -x,-y+1/2,z x,-y,-z+1/2 -x,y+1/2,-z+1/2 z,x,y z,-x,-y+1/2 -z+1/2,x,-y -z+1/2,-x,y+1/2 y,z,x -y+1/2,z,-x -y,-z+1/2,x y+1/2,-z+1/2,-x x+1/2,y+1/2,z+1/2 -x+1/2,-y,z+1/2 x+1/2,-y+1/2,-z -x+1/2,y,-z z+1/2,x+1/2,y+1/2 z+1/2,-x+1/2,-y -z,x+1/2,-y+1/2 -z,-x+1/2,y y+1/2,z+1/2,x+1/2 -y,z+1/2,-x+1/2 -y+1/2,-z,x+1/2 y,-z,-x+1/2 -x+1/2,-y+1/2,-z+1/2 x+1/2,y,-z+1/2 -x+1/2,y+1/2,z x+1/2,-y,z -z+1/2,-x+1/2,-y+1/2 -z+1/2,x+1/2,y z,-x+1/2,y+1/2 z,x+1/2,-y -y+1/2,-z+1/2,-x+1/2 y,-z+1/2,x+1/2 y+1/2,z,-x+1/2 -y,z,x+1/2 -x,-y,-z x,y+1/2,-z -x,y,z+1/2 x,-y+1/2,z+1/2 -z,-x,-y -z,x,y+1/2 z+1/2,-x,y z+1/2,x,-y+1/2 -y,-z,-x y+1/2,-z,x y,z+1/2,-x -y+1/2,z+1/2,x ---------------------- Hermann-Mauguin symbol: P 4 3 2 international table number: 207 Hall symbol: P 4 2 3 primitive Hall symbol: P 4z 2x 3* lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (24): x,y,z -y,x,z -x,-y,z y,-x,z x,-y,-z -y,-x,-z -x,y,-z y,x,-z z,x,y z,-y,x z,-x,-y z,y,-x -z,x,-y -z,-y,-x -z,-x,y -z,y,x y,z,x x,z,-y -y,z,-x -x,z,y -y,-z,x -x,-z,-y y,-z,-x x,-z,y ---------------------- Hermann-Mauguin symbol: P 42 3 2 international table number: 208 Hall symbol: P 4n 2 3 primitive Hall symbol: P 4zn 2x 3* lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4n; primitive code: 4zn order: 4; axisType: z; translation: n operator: -y+1/2,x+1/2,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (24): x,y,z -y+1/2,x+1/2,z+1/2 -x,-y,z y+1/2,-x+1/2,z+1/2 x,-y,-z -y+1/2,-x+1/2,-z+1/2 -x,y,-z y+1/2,x+1/2,-z+1/2 z,x,y z+1/2,-y+1/2,x+1/2 z,-x,-y z+1/2,y+1/2,-x+1/2 -z,x,-y -z+1/2,-y+1/2,-x+1/2 -z,-x,y -z+1/2,y+1/2,x+1/2 y,z,x x+1/2,z+1/2,-y+1/2 -y,z,-x -x+1/2,z+1/2,y+1/2 -y,-z,x -x+1/2,-z+1/2,-y+1/2 y,-z,-x x+1/2,-z+1/2,y+1/2 ---------------------- Hermann-Mauguin symbol: F 4 3 2 international table number: 209 Hall symbol: F 4 2 3 primitive Hall symbol: P 4z 2x 3* 1ab 1bc 1ac lattice type: -F: centrosymmetric face-centered rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 6 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (96): x,y,z -y,x,z -x,-y,z y,-x,z x,-y,-z -y,-x,-z -x,y,-z y,x,-z z,x,y z,-y,x z,-x,-y z,y,-x -z,x,-y -z,-y,-x -z,-x,y -z,y,x y,z,x x,z,-y -y,z,-x -x,z,y -y,-z,x -x,-z,-y y,-z,-x x,-z,y x+1/2,y+1/2,z -y+1/2,x+1/2,z -x+1/2,-y+1/2,z y+1/2,-x+1/2,z x+1/2,-y+1/2,-z -y+1/2,-x+1/2,-z -x+1/2,y+1/2,-z y+1/2,x+1/2,-z z+1/2,x+1/2,y z+1/2,-y+1/2,x z+1/2,-x+1/2,-y z+1/2,y+1/2,-x -z+1/2,x+1/2,-y -z+1/2,-y+1/2,-x -z+1/2,-x+1/2,y -z+1/2,y+1/2,x y+1/2,z+1/2,x x+1/2,z+1/2,-y -y+1/2,z+1/2,-x -x+1/2,z+1/2,y -y+1/2,-z+1/2,x -x+1/2,-z+1/2,-y y+1/2,-z+1/2,-x x+1/2,-z+1/2,y x+1/2,y,z+1/2 -y+1/2,x,z+1/2 -x+1/2,-y,z+1/2 y+1/2,-x,z+1/2 x+1/2,-y,-z+1/2 -y+1/2,-x,-z+1/2 -x+1/2,y,-z+1/2 y+1/2,x,-z+1/2 z+1/2,x,y+1/2 z+1/2,-y,x+1/2 z+1/2,-x,-y+1/2 z+1/2,y,-x+1/2 -z+1/2,x,-y+1/2 -z+1/2,-y,-x+1/2 -z+1/2,-x,y+1/2 -z+1/2,y,x+1/2 y+1/2,z,x+1/2 x+1/2,z,-y+1/2 -y+1/2,z,-x+1/2 -x+1/2,z,y+1/2 -y+1/2,-z,x+1/2 -x+1/2,-z,-y+1/2 y+1/2,-z,-x+1/2 x+1/2,-z,y+1/2 x,y+1/2,z+1/2 -y,x+1/2,z+1/2 -x,-y+1/2,z+1/2 y,-x+1/2,z+1/2 x,-y+1/2,-z+1/2 -y,-x+1/2,-z+1/2 -x,y+1/2,-z+1/2 y,x+1/2,-z+1/2 z,x+1/2,y+1/2 z,-y+1/2,x+1/2 z,-x+1/2,-y+1/2 z,y+1/2,-x+1/2 -z,x+1/2,-y+1/2 -z,-y+1/2,-x+1/2 -z,-x+1/2,y+1/2 -z,y+1/2,x+1/2 y,z+1/2,x+1/2 x,z+1/2,-y+1/2 -y,z+1/2,-x+1/2 -x,z+1/2,y+1/2 -y,-z+1/2,x+1/2 -x,-z+1/2,-y+1/2 y,-z+1/2,-x+1/2 x,-z+1/2,y+1/2 ---------------------- Hermann-Mauguin symbol: F 41 3 2 international table number: 210 Hall symbol: F 4d 2 3 primitive Hall symbol: P 4zd 2x 3* 1ab 1bc 1ac lattice type: -F: centrosymmetric face-centered rotation term 1 input code: 4d; primitive code: 4zd order: 4; axisType: z; translation: d operator: -y+1/4,x+1/4,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 3.0] [1.0 0.0 0.0 3.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 6 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (96): x,y,z -y+1/4,x+1/4,z+1/4 -x,-y+1/2,z+1/2 y+3/4,-x+1/4,z+3/4 x,-y,-z -y+1/4,-x+3/4,-z+3/4 -x,y+1/2,-z+1/2 y+3/4,x+3/4,-z+1/4 z,x,y z+1/4,-y+1/4,x+1/4 z+1/2,-x,-y+1/2 z+3/4,y+3/4,-x+1/4 -z,x,-y -z+3/4,-y+1/4,-x+3/4 -z+1/2,-x,y+1/2 -z+1/4,y+3/4,x+3/4 y,z,x x+1/4,z+1/4,-y+1/4 -y+1/2,z+1/2,-x -x+1/4,z+3/4,y+3/4 -y,-z,x -x+3/4,-z+3/4,-y+1/4 y+1/2,-z+1/2,-x x+3/4,-z+1/4,y+3/4 x+1/2,y+1/2,z -y+3/4,x+3/4,z+1/4 -x+1/2,-y,z+1/2 y+1/4,-x+3/4,z+3/4 x+1/2,-y+1/2,-z -y+3/4,-x+1/4,-z+3/4 -x+1/2,y,-z+1/2 y+1/4,x+1/4,-z+1/4 z+1/2,x+1/2,y z+3/4,-y+3/4,x+1/4 z,-x+1/2,-y+1/2 z+1/4,y+1/4,-x+1/4 -z+1/2,x+1/2,-y -z+1/4,-y+3/4,-x+3/4 -z,-x+1/2,y+1/2 -z+3/4,y+1/4,x+3/4 y+1/2,z+1/2,x x+3/4,z+3/4,-y+1/4 -y,z,-x -x+3/4,z+1/4,y+3/4 -y+1/2,-z+1/2,x -x+1/4,-z+1/4,-y+1/4 y,-z,-x x+1/4,-z+3/4,y+3/4 x+1/2,y,z+1/2 -y+3/4,x+1/4,z+3/4 -x+1/2,-y+1/2,z y+1/4,-x+1/4,z+1/4 x+1/2,-y,-z+1/2 -y+3/4,-x+3/4,-z+1/4 -x+1/2,y+1/2,-z y+1/4,x+3/4,-z+3/4 z+1/2,x,y+1/2 z+3/4,-y+1/4,x+3/4 z,-x,-y z+1/4,y+3/4,-x+3/4 -z+1/2,x,-y+1/2 -z+1/4,-y+1/4,-x+1/4 -z,-x,y -z+3/4,y+3/4,x+1/4 y+1/2,z,x+1/2 x+3/4,z+1/4,-y+3/4 -y,z+1/2,-x+1/2 -x+3/4,z+3/4,y+1/4 -y+1/2,-z,x+1/2 -x+1/4,-z+3/4,-y+3/4 y,-z+1/2,-x+1/2 x+1/4,-z+1/4,y+1/4 x,y+1/2,z+1/2 -y+1/4,x+3/4,z+3/4 -x,-y,z y+3/4,-x+3/4,z+1/4 x,-y+1/2,-z+1/2 -y+1/4,-x+1/4,-z+1/4 -x,y,-z y+3/4,x+1/4,-z+3/4 z,x+1/2,y+1/2 z+1/4,-y+3/4,x+3/4 z+1/2,-x+1/2,-y z+3/4,y+1/4,-x+3/4 -z,x+1/2,-y+1/2 -z+3/4,-y+3/4,-x+1/4 -z+1/2,-x+1/2,y -z+1/4,y+1/4,x+1/4 y,z+1/2,x+1/2 x+1/4,z+3/4,-y+3/4 -y+1/2,z,-x+1/2 -x+1/4,z+1/4,y+1/4 -y,-z+1/2,x+1/2 -x+3/4,-z+1/4,-y+3/4 y+1/2,-z,-x+1/2 x+3/4,-z+3/4,y+1/4 ---------------------- Hermann-Mauguin symbol: I 4 3 2 international table number: 211 Hall symbol: I 4 2 3 primitive Hall symbol: P 4z 2x 3* 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (48): x,y,z -y,x,z -x,-y,z y,-x,z x,-y,-z -y,-x,-z -x,y,-z y,x,-z z,x,y z,-y,x z,-x,-y z,y,-x -z,x,-y -z,-y,-x -z,-x,y -z,y,x y,z,x x,z,-y -y,z,-x -x,z,y -y,-z,x -x,-z,-y y,-z,-x x,-z,y x+1/2,y+1/2,z+1/2 -y+1/2,x+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 y+1/2,-x+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -y+1/2,-x+1/2,-z+1/2 -x+1/2,y+1/2,-z+1/2 y+1/2,x+1/2,-z+1/2 z+1/2,x+1/2,y+1/2 z+1/2,-y+1/2,x+1/2 z+1/2,-x+1/2,-y+1/2 z+1/2,y+1/2,-x+1/2 -z+1/2,x+1/2,-y+1/2 -z+1/2,-y+1/2,-x+1/2 -z+1/2,-x+1/2,y+1/2 -z+1/2,y+1/2,x+1/2 y+1/2,z+1/2,x+1/2 x+1/2,z+1/2,-y+1/2 -y+1/2,z+1/2,-x+1/2 -x+1/2,z+1/2,y+1/2 -y+1/2,-z+1/2,x+1/2 -x+1/2,-z+1/2,-y+1/2 y+1/2,-z+1/2,-x+1/2 x+1/2,-z+1/2,y+1/2 ---------------------- Hermann-Mauguin symbol: P 43 3 2 international table number: 212 Hall symbol: P 4acd 2ab 3 primitive Hall symbol: P 4zacd 2xab 3* lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4acd; primitive code: 4zacd order: 4; axisType: z; translation: acd operator: -y+3/4,x+1/4,z+3/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 9.0] [1.0 0.0 0.0 3.0] [0.0 0.0 1.0 9.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (24): x,y,z -y+3/4,x+1/4,z+3/4 -x+1/2,-y,z+1/2 y+3/4,-x+3/4,z+1/4 x+1/2,-y+1/2,-z -y+1/4,-x+1/4,-z+1/4 -x,y+1/2,-z+1/2 y+1/4,x+3/4,-z+3/4 z,x,y z+3/4,-y+3/4,x+1/4 z+1/2,-x+1/2,-y z+1/4,y+3/4,-x+3/4 -z,x+1/2,-y+1/2 -z+1/4,-y+1/4,-x+1/4 -z+1/2,-x,y+1/2 -z+3/4,y+1/4,x+3/4 y,z,x x+1/4,z+3/4,-y+3/4 -y,z+1/2,-x+1/2 -x+3/4,z+1/4,y+3/4 -y+1/2,-z,x+1/2 -x+1/4,-z+1/4,-y+1/4 y+1/2,-z+1/2,-x x+3/4,-z+3/4,y+1/4 ---------------------- Hermann-Mauguin symbol: P 41 3 2 international table number: 213 Hall symbol: P 4bd 2ab 3 primitive Hall symbol: P 4zbd 2xab 3* lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4bd; primitive code: 4zbd order: 4; axisType: z; translation: bd operator: -y+1/4,x+3/4,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 3.0] [1.0 0.0 0.0 9.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2ab; primitive code: 2xab order: 2; axisType: x; translation: ab operator: x+1/2,-y+1/2,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (24): x,y,z -y+1/4,x+3/4,z+1/4 -x+1/2,-y,z+1/2 y+1/4,-x+1/4,z+3/4 x+1/2,-y+1/2,-z -y+3/4,-x+3/4,-z+3/4 -x,y+1/2,-z+1/2 y+3/4,x+1/4,-z+1/4 z,x,y z+1/4,-y+1/4,x+3/4 z+1/2,-x+1/2,-y z+3/4,y+1/4,-x+1/4 -z,x+1/2,-y+1/2 -z+3/4,-y+3/4,-x+3/4 -z+1/2,-x,y+1/2 -z+1/4,y+3/4,x+1/4 y,z,x x+3/4,z+1/4,-y+1/4 -y,z+1/2,-x+1/2 -x+1/4,z+3/4,y+1/4 -y+1/2,-z,x+1/2 -x+3/4,-z+3/4,-y+3/4 y+1/2,-z+1/2,-x x+1/4,-z+1/4,y+3/4 ---------------------- Hermann-Mauguin symbol: I 41 3 2 international table number: 214 Hall symbol: I 4bd 2c 3 primitive Hall symbol: P 4zbd 2xc 3* 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: 4bd; primitive code: 4zbd order: 4; axisType: z; translation: bd operator: -y+1/4,x+3/4,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 3.0] [1.0 0.0 0.0 9.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (48): x,y,z -y+1/4,x+3/4,z+1/4 -x+1/2,-y,z+1/2 y+1/4,-x+1/4,z+3/4 x,-y,-z+1/2 -y+1/4,-x+1/4,-z+1/4 -x+1/2,y,-z y+1/4,x+3/4,-z+3/4 z,x,y z+1/4,-y+1/4,x+3/4 z+1/2,-x+1/2,-y z+3/4,y+1/4,-x+1/4 -z+1/2,x,-y -z+1/4,-y+1/4,-x+1/4 -z,-x+1/2,y -z+3/4,y+1/4,x+3/4 y,z,x x+3/4,z+1/4,-y+1/4 -y,z+1/2,-x+1/2 -x+1/4,z+3/4,y+1/4 -y,-z+1/2,x -x+1/4,-z+1/4,-y+1/4 y,-z,-x+1/2 x+3/4,-z+3/4,y+1/4 x+1/2,y+1/2,z+1/2 -y+3/4,x+1/4,z+3/4 -x,-y+1/2,z y+3/4,-x+3/4,z+1/4 x+1/2,-y+1/2,-z -y+3/4,-x+3/4,-z+3/4 -x,y+1/2,-z+1/2 y+3/4,x+1/4,-z+1/4 z+1/2,x+1/2,y+1/2 z+3/4,-y+3/4,x+1/4 z,-x,-y+1/2 z+1/4,y+3/4,-x+3/4 -z,x+1/2,-y+1/2 -z+3/4,-y+3/4,-x+3/4 -z+1/2,-x,y+1/2 -z+1/4,y+3/4,x+1/4 y+1/2,z+1/2,x+1/2 x+1/4,z+3/4,-y+3/4 -y+1/2,z,-x -x+3/4,z+1/4,y+3/4 -y+1/2,-z,x+1/2 -x+3/4,-z+3/4,-y+3/4 y+1/2,-z+1/2,-x x+1/4,-z+1/4,y+3/4 ---------------------- Hermann-Mauguin symbol: P -4 3 m international table number: 215 Hall symbol: P -4 2 3 primitive Hall symbol: P -4z 2x 3* lattice type: -P: centrosymmetric primitive rotation term 1 input code: -4; primitive code: -4z order: 4 (improper axis); axisType: z operator: y,-x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (24): x,y,z y,-x,-z -x,-y,z -y,x,-z x,-y,-z y,x,z -x,y,-z -y,-x,z z,x,y -z,y,-x z,-x,-y -z,-y,x -z,x,-y z,y,x -z,-x,y z,-y,-x y,z,x -x,-z,y -y,z,-x x,-z,-y -y,-z,x x,z,y y,-z,-x -x,z,-y ---------------------- Hermann-Mauguin symbol: F -4 3 m international table number: 216 Hall symbol: F -4 2 3 primitive Hall symbol: P -4z 2x 3* 1ab 1bc 1ac lattice type: -F: centrosymmetric face-centered rotation term 1 input code: -4; primitive code: -4z order: 4 (improper axis); axisType: z operator: y,-x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 6 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (96): x,y,z y,-x,-z -x,-y,z -y,x,-z x,-y,-z y,x,z -x,y,-z -y,-x,z z,x,y -z,y,-x z,-x,-y -z,-y,x -z,x,-y z,y,x -z,-x,y z,-y,-x y,z,x -x,-z,y -y,z,-x x,-z,-y -y,-z,x x,z,y y,-z,-x -x,z,-y x+1/2,y+1/2,z y+1/2,-x+1/2,-z -x+1/2,-y+1/2,z -y+1/2,x+1/2,-z x+1/2,-y+1/2,-z y+1/2,x+1/2,z -x+1/2,y+1/2,-z -y+1/2,-x+1/2,z z+1/2,x+1/2,y -z+1/2,y+1/2,-x z+1/2,-x+1/2,-y -z+1/2,-y+1/2,x -z+1/2,x+1/2,-y z+1/2,y+1/2,x -z+1/2,-x+1/2,y z+1/2,-y+1/2,-x y+1/2,z+1/2,x -x+1/2,-z+1/2,y -y+1/2,z+1/2,-x x+1/2,-z+1/2,-y -y+1/2,-z+1/2,x x+1/2,z+1/2,y y+1/2,-z+1/2,-x -x+1/2,z+1/2,-y x+1/2,y,z+1/2 y+1/2,-x,-z+1/2 -x+1/2,-y,z+1/2 -y+1/2,x,-z+1/2 x+1/2,-y,-z+1/2 y+1/2,x,z+1/2 -x+1/2,y,-z+1/2 -y+1/2,-x,z+1/2 z+1/2,x,y+1/2 -z+1/2,y,-x+1/2 z+1/2,-x,-y+1/2 -z+1/2,-y,x+1/2 -z+1/2,x,-y+1/2 z+1/2,y,x+1/2 -z+1/2,-x,y+1/2 z+1/2,-y,-x+1/2 y+1/2,z,x+1/2 -x+1/2,-z,y+1/2 -y+1/2,z,-x+1/2 x+1/2,-z,-y+1/2 -y+1/2,-z,x+1/2 x+1/2,z,y+1/2 y+1/2,-z,-x+1/2 -x+1/2,z,-y+1/2 x,y+1/2,z+1/2 y,-x+1/2,-z+1/2 -x,-y+1/2,z+1/2 -y,x+1/2,-z+1/2 x,-y+1/2,-z+1/2 y,x+1/2,z+1/2 -x,y+1/2,-z+1/2 -y,-x+1/2,z+1/2 z,x+1/2,y+1/2 -z,y+1/2,-x+1/2 z,-x+1/2,-y+1/2 -z,-y+1/2,x+1/2 -z,x+1/2,-y+1/2 z,y+1/2,x+1/2 -z,-x+1/2,y+1/2 z,-y+1/2,-x+1/2 y,z+1/2,x+1/2 -x,-z+1/2,y+1/2 -y,z+1/2,-x+1/2 x,-z+1/2,-y+1/2 -y,-z+1/2,x+1/2 x,z+1/2,y+1/2 y,-z+1/2,-x+1/2 -x,z+1/2,-y+1/2 ---------------------- Hermann-Mauguin symbol: I -4 3 m international table number: 217 Hall symbol: I -4 2 3 primitive Hall symbol: P -4z 2x 3* 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -4; primitive code: -4z order: 4 (improper axis); axisType: z operator: y,-x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 0.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (48): x,y,z y,-x,-z -x,-y,z -y,x,-z x,-y,-z y,x,z -x,y,-z -y,-x,z z,x,y -z,y,-x z,-x,-y -z,-y,x -z,x,-y z,y,x -z,-x,y z,-y,-x y,z,x -x,-z,y -y,z,-x x,-z,-y -y,-z,x x,z,y y,-z,-x -x,z,-y x+1/2,y+1/2,z+1/2 y+1/2,-x+1/2,-z+1/2 -x+1/2,-y+1/2,z+1/2 -y+1/2,x+1/2,-z+1/2 x+1/2,-y+1/2,-z+1/2 y+1/2,x+1/2,z+1/2 -x+1/2,y+1/2,-z+1/2 -y+1/2,-x+1/2,z+1/2 z+1/2,x+1/2,y+1/2 -z+1/2,y+1/2,-x+1/2 z+1/2,-x+1/2,-y+1/2 -z+1/2,-y+1/2,x+1/2 -z+1/2,x+1/2,-y+1/2 z+1/2,y+1/2,x+1/2 -z+1/2,-x+1/2,y+1/2 z+1/2,-y+1/2,-x+1/2 y+1/2,z+1/2,x+1/2 -x+1/2,-z+1/2,y+1/2 -y+1/2,z+1/2,-x+1/2 x+1/2,-z+1/2,-y+1/2 -y+1/2,-z+1/2,x+1/2 x+1/2,z+1/2,y+1/2 y+1/2,-z+1/2,-x+1/2 -x+1/2,z+1/2,-y+1/2 ---------------------- Hermann-Mauguin symbol: P -4 3 n international table number: 218 Hall symbol: P -4n 2 3 primitive Hall symbol: P -4zn 2x 3* lattice type: -P: centrosymmetric primitive rotation term 1 input code: -4n; primitive code: -4zn order: 4 (improper axis); axisType: z; translation: n operator: y+1/2,-x+1/2,-z+1/2 Seitz matrix(12ths): [ [0.0 1.0 0.0 6.0] [-1.0 0.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (24): x,y,z y+1/2,-x+1/2,-z+1/2 -x,-y,z -y+1/2,x+1/2,-z+1/2 x,-y,-z y+1/2,x+1/2,z+1/2 -x,y,-z -y+1/2,-x+1/2,z+1/2 z,x,y -z+1/2,y+1/2,-x+1/2 z,-x,-y -z+1/2,-y+1/2,x+1/2 -z,x,-y z+1/2,y+1/2,x+1/2 -z,-x,y z+1/2,-y+1/2,-x+1/2 y,z,x -x+1/2,-z+1/2,y+1/2 -y,z,-x x+1/2,-z+1/2,-y+1/2 -y,-z,x x+1/2,z+1/2,y+1/2 y,-z,-x -x+1/2,z+1/2,-y+1/2 ---------------------- Hermann-Mauguin symbol: F -4 3 c international table number: 219 Hall symbol: F -4a 2 3 primitive Hall symbol: P -4za 2x 3* 1ab 1bc 1ac lattice type: -F: centrosymmetric face-centered rotation term 1 input code: -4a; primitive code: -4za order: 4 (improper axis); axisType: z; translation: a operator: y+1/2,-x,-z Seitz matrix(12ths): [ [0.0 1.0 0.0 6.0] [-1.0 0.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 6 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (96): x,y,z y+1/2,-x,-z -x+1/2,-y+1/2,z -y,x+1/2,-z x,-y,-z y+1/2,x,z -x+1/2,y+1/2,-z -y,-x+1/2,z z,x,y -z,y+1/2,-x z,-x+1/2,-y+1/2 -z,-y,x+1/2 -z,x,-y z,y+1/2,x -z,-x+1/2,y+1/2 z,-y,-x+1/2 y,z,x -x,-z,y+1/2 -y+1/2,z,-x+1/2 x+1/2,-z,-y -y,-z,x x,z,y+1/2 y+1/2,-z,-x+1/2 -x+1/2,z,-y x+1/2,y+1/2,z y,-x+1/2,-z -x,-y,z -y+1/2,x,-z x+1/2,-y+1/2,-z y,x+1/2,z -x,y,-z -y+1/2,-x,z z+1/2,x+1/2,y -z+1/2,y,-x z+1/2,-x,-y+1/2 -z+1/2,-y+1/2,x+1/2 -z+1/2,x+1/2,-y z+1/2,y,x -z+1/2,-x,y+1/2 z+1/2,-y+1/2,-x+1/2 y+1/2,z+1/2,x -x+1/2,-z+1/2,y+1/2 -y,z+1/2,-x+1/2 x,-z+1/2,-y -y+1/2,-z+1/2,x x+1/2,z+1/2,y+1/2 y,-z+1/2,-x+1/2 -x,z+1/2,-y x+1/2,y,z+1/2 y,-x,-z+1/2 -x,-y+1/2,z+1/2 -y+1/2,x+1/2,-z+1/2 x+1/2,-y,-z+1/2 y,x,z+1/2 -x,y+1/2,-z+1/2 -y+1/2,-x+1/2,z+1/2 z+1/2,x,y+1/2 -z+1/2,y+1/2,-x+1/2 z+1/2,-x+1/2,-y -z+1/2,-y,x -z+1/2,x,-y+1/2 z+1/2,y+1/2,x+1/2 -z+1/2,-x+1/2,y z+1/2,-y,-x y+1/2,z,x+1/2 -x+1/2,-z,y -y,z,-x x,-z,-y+1/2 -y+1/2,-z,x+1/2 x+1/2,z,y y,-z,-x -x,z,-y+1/2 x,y+1/2,z+1/2 y+1/2,-x+1/2,-z+1/2 -x+1/2,-y,z+1/2 -y,x,-z+1/2 x,-y+1/2,-z+1/2 y+1/2,x+1/2,z+1/2 -x+1/2,y,-z+1/2 -y,-x,z+1/2 z,x+1/2,y+1/2 -z,y,-x+1/2 z,-x,-y -z,-y+1/2,x -z,x+1/2,-y+1/2 z,y,x+1/2 -z,-x,y z,-y+1/2,-x y,z+1/2,x+1/2 -x,-z+1/2,y -y+1/2,z+1/2,-x x+1/2,-z+1/2,-y+1/2 -y,-z+1/2,x+1/2 x,z+1/2,y y+1/2,-z+1/2,-x -x+1/2,z+1/2,-y+1/2 ---------------------- Hermann-Mauguin symbol: I -4 3 d international table number: 220 Hall symbol: I -4bd 2c 3 primitive Hall symbol: P -4zbd 2xc 3* 1n lattice type: -I: centrosymmetric body-centered rotation term 1 input code: -4bd; primitive code: -4zbd order: 4 (improper axis); axisType: z; translation: bd operator: y+1/4,-x+3/4,-z+1/4 Seitz matrix(12ths): [ [0.0 1.0 0.0 3.0] [-1.0 0.0 0.0 9.0] [0.0 0.0 -1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (48): x,y,z y+1/4,-x+3/4,-z+1/4 -x,-y+1/2,z -y+3/4,x+3/4,-z+1/4 x,-y,-z+1/2 y+1/4,x+1/4,z+1/4 -x,y+1/2,-z+1/2 -y+3/4,-x+1/4,z+1/4 z,x,y -z+1/4,y+1/4,-x+3/4 z,-x,-y+1/2 -z+1/4,-y+3/4,x+3/4 -z+1/2,x,-y z+1/4,y+1/4,x+1/4 -z+1/2,-x,y+1/2 z+1/4,-y+3/4,-x+1/4 y,z,x -x+3/4,-z+1/4,y+1/4 -y+1/2,z,-x x+3/4,-z+1/4,-y+3/4 -y,-z+1/2,x x+1/4,z+1/4,y+1/4 y+1/2,-z+1/2,-x -x+1/4,z+1/4,-y+3/4 x+1/2,y+1/2,z+1/2 y+3/4,-x+1/4,-z+3/4 -x+1/2,-y,z+1/2 -y+1/4,x+1/4,-z+3/4 x+1/2,-y+1/2,-z y+3/4,x+3/4,z+3/4 -x+1/2,y,-z -y+1/4,-x+3/4,z+3/4 z+1/2,x+1/2,y+1/2 -z+3/4,y+3/4,-x+1/4 z+1/2,-x+1/2,-y -z+3/4,-y+1/4,x+1/4 -z,x+1/2,-y+1/2 z+3/4,y+3/4,x+3/4 -z,-x+1/2,y z+3/4,-y+1/4,-x+3/4 y+1/2,z+1/2,x+1/2 -x+1/4,-z+3/4,y+3/4 -y,z+1/2,-x+1/2 x+1/4,-z+3/4,-y+1/4 -y+1/2,-z,x+1/2 x+3/4,z+3/4,y+3/4 y,-z,-x+1/2 -x+3/4,z+3/4,-y+1/4 ---------------------- Hermann-Mauguin symbol: P m -3 m international table number: 221 Hall symbol: -P 4 2 3 primitive Hall symbol: P 4z 2x 3* -1 lattice type: P: primitive rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (48): x,y,z -y,x,z -x,-y,z y,-x,z x,-y,-z -y,-x,-z -x,y,-z y,x,-z z,x,y z,-y,x z,-x,-y z,y,-x -z,x,-y -z,-y,-x -z,-x,y -z,y,x y,z,x x,z,-y -y,z,-x -x,z,y -y,-z,x -x,-z,-y y,-z,-x x,-z,y -x,-y,-z y,-x,-z x,y,-z -y,x,-z -x,y,z y,x,z x,-y,z -y,-x,z -z,-x,-y -z,y,-x -z,x,y -z,-y,x z,-x,y z,y,x z,x,-y z,-y,-x -y,-z,-x -x,-z,y y,-z,x x,-z,-y y,z,-x x,z,y -y,z,x -x,z,-y ---------------------- Hermann-Mauguin symbol: P n -3 n:1 international table number: 222:1 Hall symbol: P 4 2 3 -1n primitive Hall symbol: P 4z 2x 3* -1n lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1n; primitive code: -1n order: 1 (improper axis); translation: n operator: -x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (48): x,y,z -y,x,z -x,-y,z y,-x,z x,-y,-z -y,-x,-z -x,y,-z y,x,-z z,x,y z,-y,x z,-x,-y z,y,-x -z,x,-y -z,-y,-x -z,-x,y -z,y,x y,z,x x,z,-y -y,z,-x -x,z,y -y,-z,x -x,-z,-y y,-z,-x x,-z,y -x+1/2,-y+1/2,-z+1/2 y+1/2,-x+1/2,-z+1/2 x+1/2,y+1/2,-z+1/2 -y+1/2,x+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 y+1/2,x+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 -y+1/2,-x+1/2,z+1/2 -z+1/2,-x+1/2,-y+1/2 -z+1/2,y+1/2,-x+1/2 -z+1/2,x+1/2,y+1/2 -z+1/2,-y+1/2,x+1/2 z+1/2,-x+1/2,y+1/2 z+1/2,y+1/2,x+1/2 z+1/2,x+1/2,-y+1/2 z+1/2,-y+1/2,-x+1/2 -y+1/2,-z+1/2,-x+1/2 -x+1/2,-z+1/2,y+1/2 y+1/2,-z+1/2,x+1/2 x+1/2,-z+1/2,-y+1/2 y+1/2,z+1/2,-x+1/2 x+1/2,z+1/2,y+1/2 -y+1/2,z+1/2,x+1/2 -x+1/2,z+1/2,-y+1/2 ---------------------- Hermann-Mauguin symbol: P n -3 n:2 international table number: 222:2 Hall symbol: -P 4a 2bc 3 primitive Hall symbol: P 4za 2xbc 3* -1 lattice type: P: primitive rotation term 1 input code: 4a; primitive code: 4za order: 4; axisType: z; translation: a operator: -y+1/2,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2bc; primitive code: 2xbc order: 2; axisType: x; translation: bc operator: x,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (48): x,y,z -y+1/2,x,z -x+1/2,-y+1/2,z y,-x+1/2,z x,-y+1/2,-z+1/2 -y+1/2,-x+1/2,-z+1/2 -x+1/2,y,-z+1/2 y,x,-z+1/2 z,x,y z,-y+1/2,x z,-x+1/2,-y+1/2 z,y,-x+1/2 -z+1/2,x,-y+1/2 -z+1/2,-y+1/2,-x+1/2 -z+1/2,-x+1/2,y -z+1/2,y,x y,z,x x,z,-y+1/2 -y+1/2,z,-x+1/2 -x+1/2,z,y -y+1/2,-z+1/2,x -x+1/2,-z+1/2,-y+1/2 y,-z+1/2,-x+1/2 x,-z+1/2,y -x,-y,-z y+1/2,-x,-z x+1/2,y+1/2,-z -y,x+1/2,-z -x,y+1/2,z+1/2 y+1/2,x+1/2,z+1/2 x+1/2,-y,z+1/2 -y,-x,z+1/2 -z,-x,-y -z,y+1/2,-x -z,x+1/2,y+1/2 -z,-y,x+1/2 z+1/2,-x,y+1/2 z+1/2,y+1/2,x+1/2 z+1/2,x+1/2,-y z+1/2,-y,-x -y,-z,-x -x,-z,y+1/2 y+1/2,-z,x+1/2 x+1/2,-z,-y y+1/2,z+1/2,-x x+1/2,z+1/2,y+1/2 -y,z+1/2,x+1/2 -x,z+1/2,-y ---------------------- Hermann-Mauguin symbol: P m -3 n international table number: 223 Hall symbol: -P 4n 2 3 primitive Hall symbol: P 4zn 2x 3* -1 lattice type: P: primitive rotation term 1 input code: 4n; primitive code: 4zn order: 4; axisType: z; translation: n operator: -y+1/2,x+1/2,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (48): x,y,z -y+1/2,x+1/2,z+1/2 -x,-y,z y+1/2,-x+1/2,z+1/2 x,-y,-z -y+1/2,-x+1/2,-z+1/2 -x,y,-z y+1/2,x+1/2,-z+1/2 z,x,y z+1/2,-y+1/2,x+1/2 z,-x,-y z+1/2,y+1/2,-x+1/2 -z,x,-y -z+1/2,-y+1/2,-x+1/2 -z,-x,y -z+1/2,y+1/2,x+1/2 y,z,x x+1/2,z+1/2,-y+1/2 -y,z,-x -x+1/2,z+1/2,y+1/2 -y,-z,x -x+1/2,-z+1/2,-y+1/2 y,-z,-x x+1/2,-z+1/2,y+1/2 -x,-y,-z y+1/2,-x+1/2,-z+1/2 x,y,-z -y+1/2,x+1/2,-z+1/2 -x,y,z y+1/2,x+1/2,z+1/2 x,-y,z -y+1/2,-x+1/2,z+1/2 -z,-x,-y -z+1/2,y+1/2,-x+1/2 -z,x,y -z+1/2,-y+1/2,x+1/2 z,-x,y z+1/2,y+1/2,x+1/2 z,x,-y z+1/2,-y+1/2,-x+1/2 -y,-z,-x -x+1/2,-z+1/2,y+1/2 y,-z,x x+1/2,-z+1/2,-y+1/2 y,z,-x x+1/2,z+1/2,y+1/2 -y,z,x -x+1/2,z+1/2,-y+1/2 ---------------------- Hermann-Mauguin symbol: P n -3 m:1 international table number: 224:1 Hall symbol: P 4n 2 3 -1n primitive Hall symbol: P 4zn 2x 3* -1n lattice type: -P: centrosymmetric primitive rotation term 1 input code: 4n; primitive code: 4zn order: 4; axisType: z; translation: n operator: -y+1/2,x+1/2,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1n; primitive code: -1n order: 1 (improper axis); translation: n operator: -x+1/2,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [-1.0 0.0 0.0 6.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (48): x,y,z -y+1/2,x+1/2,z+1/2 -x,-y,z y+1/2,-x+1/2,z+1/2 x,-y,-z -y+1/2,-x+1/2,-z+1/2 -x,y,-z y+1/2,x+1/2,-z+1/2 z,x,y z+1/2,-y+1/2,x+1/2 z,-x,-y z+1/2,y+1/2,-x+1/2 -z,x,-y -z+1/2,-y+1/2,-x+1/2 -z,-x,y -z+1/2,y+1/2,x+1/2 y,z,x x+1/2,z+1/2,-y+1/2 -y,z,-x -x+1/2,z+1/2,y+1/2 -y,-z,x -x+1/2,-z+1/2,-y+1/2 y,-z,-x x+1/2,-z+1/2,y+1/2 -x+1/2,-y+1/2,-z+1/2 y,-x,-z x+1/2,y+1/2,-z+1/2 -y,x,-z -x+1/2,y+1/2,z+1/2 y,x,z x+1/2,-y+1/2,z+1/2 -y,-x,z -z+1/2,-x+1/2,-y+1/2 -z,y,-x -z+1/2,x+1/2,y+1/2 -z,-y,x z+1/2,-x+1/2,y+1/2 z,y,x z+1/2,x+1/2,-y+1/2 z,-y,-x -y+1/2,-z+1/2,-x+1/2 -x,-z,y y+1/2,-z+1/2,x+1/2 x,-z,-y y+1/2,z+1/2,-x+1/2 x,z,y -y+1/2,z+1/2,x+1/2 -x,z,-y ---------------------- Hermann-Mauguin symbol: P n -3 m:2 international table number: 224:2 Hall symbol: -P 4bc 2bc 3 primitive Hall symbol: P 4zbc 2xbc 3* -1 lattice type: P: primitive rotation term 1 input code: 4bc; primitive code: 4zbc order: 4; axisType: z; translation: bc operator: -y,x+1/2,z+1/2 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2bc; primitive code: 2xbc order: 2; axisType: x; translation: bc operator: x,-y+1/2,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 6.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (48): x,y,z -y,x+1/2,z+1/2 -x+1/2,-y+1/2,z y+1/2,-x,z+1/2 x,-y+1/2,-z+1/2 -y,-x,-z -x+1/2,y,-z+1/2 y+1/2,x+1/2,-z z,x,y z+1/2,-y,x+1/2 z,-x+1/2,-y+1/2 z+1/2,y+1/2,-x -z+1/2,x,-y+1/2 -z,-y,-x -z+1/2,-x+1/2,y -z,y+1/2,x+1/2 y,z,x x+1/2,z+1/2,-y -y+1/2,z,-x+1/2 -x,z+1/2,y+1/2 -y+1/2,-z+1/2,x -x,-z,-y y,-z+1/2,-x+1/2 x+1/2,-z,y+1/2 -x,-y,-z y,-x+1/2,-z+1/2 x+1/2,y+1/2,-z -y+1/2,x,-z+1/2 -x,y+1/2,z+1/2 y,x,z x+1/2,-y,z+1/2 -y+1/2,-x+1/2,z -z,-x,-y -z+1/2,y,-x+1/2 -z,x+1/2,y+1/2 -z+1/2,-y+1/2,x z+1/2,-x,y+1/2 z,y,x z+1/2,x+1/2,-y z,-y+1/2,-x+1/2 -y,-z,-x -x+1/2,-z+1/2,y y+1/2,-z,x+1/2 x,-z+1/2,-y+1/2 y+1/2,z+1/2,-x x,z,y -y,z+1/2,x+1/2 -x+1/2,z,-y+1/2 ---------------------- Hermann-Mauguin symbol: F m -3 m international table number: 225 Hall symbol: -F 4 2 3 primitive Hall symbol: P 4z 2x 3* 1ab 1bc 1ac -1 lattice type: F: face-centered rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 6 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 7 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (192): x,y,z -y,x,z -x,-y,z y,-x,z x,-y,-z -y,-x,-z -x,y,-z y,x,-z z,x,y z,-y,x z,-x,-y z,y,-x -z,x,-y -z,-y,-x -z,-x,y -z,y,x y,z,x x,z,-y -y,z,-x -x,z,y -y,-z,x -x,-z,-y y,-z,-x x,-z,y x+1/2,y+1/2,z -y+1/2,x+1/2,z -x+1/2,-y+1/2,z y+1/2,-x+1/2,z x+1/2,-y+1/2,-z -y+1/2,-x+1/2,-z -x+1/2,y+1/2,-z y+1/2,x+1/2,-z z+1/2,x+1/2,y z+1/2,-y+1/2,x z+1/2,-x+1/2,-y z+1/2,y+1/2,-x -z+1/2,x+1/2,-y -z+1/2,-y+1/2,-x -z+1/2,-x+1/2,y -z+1/2,y+1/2,x y+1/2,z+1/2,x x+1/2,z+1/2,-y -y+1/2,z+1/2,-x -x+1/2,z+1/2,y -y+1/2,-z+1/2,x -x+1/2,-z+1/2,-y y+1/2,-z+1/2,-x x+1/2,-z+1/2,y x+1/2,y,z+1/2 -y+1/2,x,z+1/2 -x+1/2,-y,z+1/2 y+1/2,-x,z+1/2 x+1/2,-y,-z+1/2 -y+1/2,-x,-z+1/2 -x+1/2,y,-z+1/2 y+1/2,x,-z+1/2 z+1/2,x,y+1/2 z+1/2,-y,x+1/2 z+1/2,-x,-y+1/2 z+1/2,y,-x+1/2 -z+1/2,x,-y+1/2 -z+1/2,-y,-x+1/2 -z+1/2,-x,y+1/2 -z+1/2,y,x+1/2 y+1/2,z,x+1/2 x+1/2,z,-y+1/2 -y+1/2,z,-x+1/2 -x+1/2,z,y+1/2 -y+1/2,-z,x+1/2 -x+1/2,-z,-y+1/2 y+1/2,-z,-x+1/2 x+1/2,-z,y+1/2 x,y+1/2,z+1/2 -y,x+1/2,z+1/2 -x,-y+1/2,z+1/2 y,-x+1/2,z+1/2 x,-y+1/2,-z+1/2 -y,-x+1/2,-z+1/2 -x,y+1/2,-z+1/2 y,x+1/2,-z+1/2 z,x+1/2,y+1/2 z,-y+1/2,x+1/2 z,-x+1/2,-y+1/2 z,y+1/2,-x+1/2 -z,x+1/2,-y+1/2 -z,-y+1/2,-x+1/2 -z,-x+1/2,y+1/2 -z,y+1/2,x+1/2 y,z+1/2,x+1/2 x,z+1/2,-y+1/2 -y,z+1/2,-x+1/2 -x,z+1/2,y+1/2 -y,-z+1/2,x+1/2 -x,-z+1/2,-y+1/2 y,-z+1/2,-x+1/2 x,-z+1/2,y+1/2 -x,-y,-z y,-x,-z x,y,-z -y,x,-z -x,y,z y,x,z x,-y,z -y,-x,z -z,-x,-y -z,y,-x -z,x,y -z,-y,x z,-x,y z,y,x z,x,-y z,-y,-x -y,-z,-x -x,-z,y y,-z,x x,-z,-y y,z,-x x,z,y -y,z,x -x,z,-y -x+1/2,-y+1/2,-z y+1/2,-x+1/2,-z x+1/2,y+1/2,-z -y+1/2,x+1/2,-z -x+1/2,y+1/2,z y+1/2,x+1/2,z x+1/2,-y+1/2,z -y+1/2,-x+1/2,z -z+1/2,-x+1/2,-y -z+1/2,y+1/2,-x -z+1/2,x+1/2,y -z+1/2,-y+1/2,x z+1/2,-x+1/2,y z+1/2,y+1/2,x z+1/2,x+1/2,-y z+1/2,-y+1/2,-x -y+1/2,-z+1/2,-x -x+1/2,-z+1/2,y y+1/2,-z+1/2,x x+1/2,-z+1/2,-y y+1/2,z+1/2,-x x+1/2,z+1/2,y -y+1/2,z+1/2,x -x+1/2,z+1/2,-y -x+1/2,-y,-z+1/2 y+1/2,-x,-z+1/2 x+1/2,y,-z+1/2 -y+1/2,x,-z+1/2 -x+1/2,y,z+1/2 y+1/2,x,z+1/2 x+1/2,-y,z+1/2 -y+1/2,-x,z+1/2 -z+1/2,-x,-y+1/2 -z+1/2,y,-x+1/2 -z+1/2,x,y+1/2 -z+1/2,-y,x+1/2 z+1/2,-x,y+1/2 z+1/2,y,x+1/2 z+1/2,x,-y+1/2 z+1/2,-y,-x+1/2 -y+1/2,-z,-x+1/2 -x+1/2,-z,y+1/2 y+1/2,-z,x+1/2 x+1/2,-z,-y+1/2 y+1/2,z,-x+1/2 x+1/2,z,y+1/2 -y+1/2,z,x+1/2 -x+1/2,z,-y+1/2 -x,-y+1/2,-z+1/2 y,-x+1/2,-z+1/2 x,y+1/2,-z+1/2 -y,x+1/2,-z+1/2 -x,y+1/2,z+1/2 y,x+1/2,z+1/2 x,-y+1/2,z+1/2 -y,-x+1/2,z+1/2 -z,-x+1/2,-y+1/2 -z,y+1/2,-x+1/2 -z,x+1/2,y+1/2 -z,-y+1/2,x+1/2 z,-x+1/2,y+1/2 z,y+1/2,x+1/2 z,x+1/2,-y+1/2 z,-y+1/2,-x+1/2 -y,-z+1/2,-x+1/2 -x,-z+1/2,y+1/2 y,-z+1/2,x+1/2 x,-z+1/2,-y+1/2 y,z+1/2,-x+1/2 x,z+1/2,y+1/2 -y,z+1/2,x+1/2 -x,z+1/2,-y+1/2 ---------------------- Hermann-Mauguin symbol: F m -3 c international table number: 226 Hall symbol: -F 4a 2 3 primitive Hall symbol: P 4za 2x 3* 1ab 1bc 1ac -1 lattice type: F: face-centered rotation term 1 input code: 4a; primitive code: 4za order: 4; axisType: z; translation: a operator: -y+1/2,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 6 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 7 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (192): x,y,z -y+1/2,x,z -x+1/2,-y+1/2,z y,-x+1/2,z x,-y,-z -y+1/2,-x,-z -x+1/2,y+1/2,-z y,x+1/2,-z z,x,y z,-y+1/2,x z,-x+1/2,-y+1/2 z,y,-x+1/2 -z,x,-y -z,-y+1/2,-x -z,-x+1/2,y+1/2 -z,y,x+1/2 y,z,x x,z,-y+1/2 -y+1/2,z,-x+1/2 -x+1/2,z,y -y,-z,x -x,-z,-y+1/2 y+1/2,-z,-x+1/2 x+1/2,-z,y x+1/2,y+1/2,z -y,x+1/2,z -x,-y,z y+1/2,-x,z x+1/2,-y+1/2,-z -y,-x+1/2,-z -x,y,-z y+1/2,x,-z z+1/2,x+1/2,y z+1/2,-y,x z+1/2,-x,-y+1/2 z+1/2,y+1/2,-x+1/2 -z+1/2,x+1/2,-y -z+1/2,-y,-x -z+1/2,-x,y+1/2 -z+1/2,y+1/2,x+1/2 y+1/2,z+1/2,x x+1/2,z+1/2,-y+1/2 -y,z+1/2,-x+1/2 -x,z+1/2,y -y+1/2,-z+1/2,x -x+1/2,-z+1/2,-y+1/2 y,-z+1/2,-x+1/2 x,-z+1/2,y x+1/2,y,z+1/2 -y,x,z+1/2 -x,-y+1/2,z+1/2 y+1/2,-x+1/2,z+1/2 x+1/2,-y,-z+1/2 -y,-x,-z+1/2 -x,y+1/2,-z+1/2 y+1/2,x+1/2,-z+1/2 z+1/2,x,y+1/2 z+1/2,-y+1/2,x+1/2 z+1/2,-x+1/2,-y z+1/2,y,-x -z+1/2,x,-y+1/2 -z+1/2,-y+1/2,-x+1/2 -z+1/2,-x+1/2,y -z+1/2,y,x y+1/2,z,x+1/2 x+1/2,z,-y -y,z,-x -x,z,y+1/2 -y+1/2,-z,x+1/2 -x+1/2,-z,-y y,-z,-x x,-z,y+1/2 x,y+1/2,z+1/2 -y+1/2,x+1/2,z+1/2 -x+1/2,-y,z+1/2 y,-x,z+1/2 x,-y+1/2,-z+1/2 -y+1/2,-x+1/2,-z+1/2 -x+1/2,y,-z+1/2 y,x,-z+1/2 z,x+1/2,y+1/2 z,-y,x+1/2 z,-x,-y z,y+1/2,-x -z,x+1/2,-y+1/2 -z,-y,-x+1/2 -z,-x,y -z,y+1/2,x y,z+1/2,x+1/2 x,z+1/2,-y -y+1/2,z+1/2,-x -x+1/2,z+1/2,y+1/2 -y,-z+1/2,x+1/2 -x,-z+1/2,-y y+1/2,-z+1/2,-x x+1/2,-z+1/2,y+1/2 -x,-y,-z y+1/2,-x,-z x+1/2,y+1/2,-z -y,x+1/2,-z -x,y,z y+1/2,x,z x+1/2,-y+1/2,z -y,-x+1/2,z -z,-x,-y -z,y+1/2,-x -z,x+1/2,y+1/2 -z,-y,x+1/2 z,-x,y z,y+1/2,x z,x+1/2,-y+1/2 z,-y,-x+1/2 -y,-z,-x -x,-z,y+1/2 y+1/2,-z,x+1/2 x+1/2,-z,-y y,z,-x x,z,y+1/2 -y+1/2,z,x+1/2 -x+1/2,z,-y -x+1/2,-y+1/2,-z y,-x+1/2,-z x,y,-z -y+1/2,x,-z -x+1/2,y+1/2,z y,x+1/2,z x,-y,z -y+1/2,-x,z -z+1/2,-x+1/2,-y -z+1/2,y,-x -z+1/2,x,y+1/2 -z+1/2,-y+1/2,x+1/2 z+1/2,-x+1/2,y z+1/2,y,x z+1/2,x,-y+1/2 z+1/2,-y+1/2,-x+1/2 -y+1/2,-z+1/2,-x -x+1/2,-z+1/2,y+1/2 y,-z+1/2,x+1/2 x,-z+1/2,-y y+1/2,z+1/2,-x x+1/2,z+1/2,y+1/2 -y,z+1/2,x+1/2 -x,z+1/2,-y -x+1/2,-y,-z+1/2 y,-x,-z+1/2 x,y+1/2,-z+1/2 -y+1/2,x+1/2,-z+1/2 -x+1/2,y,z+1/2 y,x,z+1/2 x,-y+1/2,z+1/2 -y+1/2,-x+1/2,z+1/2 -z+1/2,-x,-y+1/2 -z+1/2,y+1/2,-x+1/2 -z+1/2,x+1/2,y -z+1/2,-y,x z+1/2,-x,y+1/2 z+1/2,y+1/2,x+1/2 z+1/2,x+1/2,-y z+1/2,-y,-x -y+1/2,-z,-x+1/2 -x+1/2,-z,y y,-z,x x,-z,-y+1/2 y+1/2,z,-x+1/2 x+1/2,z,y -y,z,x -x,z,-y+1/2 -x,-y+1/2,-z+1/2 y+1/2,-x+1/2,-z+1/2 x+1/2,y,-z+1/2 -y,x,-z+1/2 -x,y+1/2,z+1/2 y+1/2,x+1/2,z+1/2 x+1/2,-y,z+1/2 -y,-x,z+1/2 -z,-x+1/2,-y+1/2 -z,y,-x+1/2 -z,x,y -z,-y+1/2,x z,-x+1/2,y+1/2 z,y,x+1/2 z,x,-y z,-y+1/2,-x -y,-z+1/2,-x+1/2 -x,-z+1/2,y y+1/2,-z+1/2,x x+1/2,-z+1/2,-y+1/2 y,z+1/2,-x+1/2 x,z+1/2,y -y+1/2,z+1/2,x -x+1/2,z+1/2,-y+1/2 ---------------------- Hermann-Mauguin symbol: F d -3 m:1 international table number: 227:1 Hall symbol: F 4d 2 3 -1d primitive Hall symbol: P 4zd 2x 3* -1d 1ab 1bc 1ac lattice type: -F: centrosymmetric face-centered rotation term 1 input code: 4d; primitive code: 4zd order: 4; axisType: z; translation: d operator: -y+1/4,x+1/4,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 3.0] [1.0 0.0 0.0 3.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1d; primitive code: -1d order: 1 (improper axis); translation: d operator: -x+1/4,-y+1/4,-z+1/4 Seitz matrix(12ths): [ [-1.0 0.0 0.0 3.0] [0.0 -1.0 0.0 3.0] [0.0 0.0 -1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 6 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 7 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (192): x,y,z -y+1/4,x+1/4,z+1/4 -x,-y+1/2,z+1/2 y+3/4,-x+1/4,z+3/4 x,-y,-z -y+1/4,-x+3/4,-z+3/4 -x,y+1/2,-z+1/2 y+3/4,x+3/4,-z+1/4 z,x,y z+1/4,-y+1/4,x+1/4 z+1/2,-x,-y+1/2 z+3/4,y+3/4,-x+1/4 -z,x,-y -z+3/4,-y+1/4,-x+3/4 -z+1/2,-x,y+1/2 -z+1/4,y+3/4,x+3/4 y,z,x x+1/4,z+1/4,-y+1/4 -y+1/2,z+1/2,-x -x+1/4,z+3/4,y+3/4 -y,-z,x -x+3/4,-z+3/4,-y+1/4 y+1/2,-z+1/2,-x x+3/4,-z+1/4,y+3/4 -x+1/4,-y+1/4,-z+1/4 y,-x,-z x+1/4,y+3/4,-z+3/4 -y+1/2,x,-z+1/2 -x+1/4,y+1/4,z+1/4 y,x+1/2,z+1/2 x+1/4,-y+3/4,z+3/4 -y+1/2,-x+1/2,z -z+1/4,-x+1/4,-y+1/4 -z,y,-x -z+3/4,x+1/4,y+3/4 -z+1/2,-y+1/2,x z+1/4,-x+1/4,y+1/4 z+1/2,y,x+1/2 z+3/4,x+1/4,-y+3/4 z,-y+1/2,-x+1/2 -y+1/4,-z+1/4,-x+1/4 -x,-z,y y+3/4,-z+3/4,x+1/4 x,-z+1/2,-y+1/2 y+1/4,z+1/4,-x+1/4 x+1/2,z+1/2,y -y+3/4,z+3/4,x+1/4 -x+1/2,z,-y+1/2 -x+3/4,-y+3/4,-z+1/4 y+1/2,-x+1/2,-z x+3/4,y+1/4,-z+3/4 -y,x+1/2,-z+1/2 -x+3/4,y+3/4,z+1/4 y+1/2,x,z+1/2 x+3/4,-y+1/4,z+3/4 -y,-x,z -z+3/4,-x+3/4,-y+1/4 -z+1/2,y+1/2,-x -z+1/4,x+3/4,y+3/4 -z,-y,x z+3/4,-x+3/4,y+1/4 z,y+1/2,x+1/2 z+1/4,x+3/4,-y+3/4 z+1/2,-y,-x+1/2 -y+3/4,-z+3/4,-x+1/4 -x+1/2,-z+1/2,y y+1/4,-z+1/4,x+1/4 x+1/2,-z,-y+1/2 y+3/4,z+3/4,-x+1/4 x,z,y -y+1/4,z+1/4,x+1/4 -x,z+1/2,-y+1/2 x+1/2,y+1/2,z -y+3/4,x+3/4,z+1/4 -x+1/2,-y,z+1/2 y+1/4,-x+3/4,z+3/4 x+1/2,-y+1/2,-z -y+3/4,-x+1/4,-z+3/4 -x+1/2,y,-z+1/2 y+1/4,x+1/4,-z+1/4 z+1/2,x+1/2,y z+3/4,-y+3/4,x+1/4 z,-x+1/2,-y+1/2 z+1/4,y+1/4,-x+1/4 -z+1/2,x+1/2,-y -z+1/4,-y+3/4,-x+3/4 -z,-x+1/2,y+1/2 -z+3/4,y+1/4,x+3/4 y+1/2,z+1/2,x x+3/4,z+3/4,-y+1/4 -y,z,-x -x+3/4,z+1/4,y+3/4 -y+1/2,-z+1/2,x -x+1/4,-z+1/4,-y+1/4 y,-z,-x x+1/4,-z+3/4,y+3/4 -x+3/4,-y+1/4,-z+3/4 y+1/2,-x,-z+1/2 x+3/4,y+3/4,-z+1/4 -y,x,-z -x+3/4,y+1/4,z+3/4 y+1/2,x+1/2,z x+3/4,-y+3/4,z+1/4 -y,-x+1/2,z+1/2 -z+3/4,-x+1/4,-y+3/4 -z+1/2,y,-x+1/2 -z+1/4,x+1/4,y+1/4 -z,-y+1/2,x+1/2 z+3/4,-x+1/4,y+3/4 z,y,x z+1/4,x+1/4,-y+1/4 z+1/2,-y+1/2,-x -y+3/4,-z+1/4,-x+3/4 -x+1/2,-z,y+1/2 y+1/4,-z+3/4,x+3/4 x+1/2,-z+1/2,-y y+3/4,z+1/4,-x+3/4 x,z+1/2,y+1/2 -y+1/4,z+3/4,x+3/4 -x,z,-y x+1/2,y,z+1/2 -y+3/4,x+1/4,z+3/4 -x+1/2,-y+1/2,z y+1/4,-x+1/4,z+1/4 x+1/2,-y,-z+1/2 -y+3/4,-x+3/4,-z+1/4 -x+1/2,y+1/2,-z y+1/4,x+3/4,-z+3/4 z+1/2,x,y+1/2 z+3/4,-y+1/4,x+3/4 z,-x,-y z+1/4,y+3/4,-x+3/4 -z+1/2,x,-y+1/2 -z+1/4,-y+1/4,-x+1/4 -z,-x,y -z+3/4,y+3/4,x+1/4 y+1/2,z,x+1/2 x+3/4,z+1/4,-y+3/4 -y,z+1/2,-x+1/2 -x+3/4,z+3/4,y+1/4 -y+1/2,-z,x+1/2 -x+1/4,-z+3/4,-y+3/4 y,-z+1/2,-x+1/2 x+1/4,-z+1/4,y+1/4 x,y+1/2,z+1/2 -y+1/4,x+3/4,z+3/4 -x,-y,z y+3/4,-x+3/4,z+1/4 x,-y+1/2,-z+1/2 -y+1/4,-x+1/4,-z+1/4 -x,y,-z y+3/4,x+1/4,-z+3/4 z,x+1/2,y+1/2 z+1/4,-y+3/4,x+3/4 z+1/2,-x+1/2,-y z+3/4,y+1/4,-x+3/4 -z,x+1/2,-y+1/2 -z+3/4,-y+3/4,-x+1/4 -z+1/2,-x+1/2,y -z+1/4,y+1/4,x+1/4 y,z+1/2,x+1/2 x+1/4,z+3/4,-y+3/4 -y+1/2,z,-x+1/2 -x+1/4,z+1/4,y+1/4 -y,-z+1/2,x+1/2 -x+3/4,-z+1/4,-y+3/4 y+1/2,-z,-x+1/2 x+3/4,-z+3/4,y+1/4 -x+1/4,-y+3/4,-z+3/4 y,-x+1/2,-z+1/2 x+1/4,y+1/4,-z+1/4 -y+1/2,x+1/2,-z -x+1/4,y+3/4,z+3/4 y,x,z x+1/4,-y+1/4,z+1/4 -y+1/2,-x,z+1/2 -z+1/4,-x+3/4,-y+3/4 -z,y+1/2,-x+1/2 -z+3/4,x+3/4,y+1/4 -z+1/2,-y,x+1/2 z+1/4,-x+3/4,y+3/4 z+1/2,y+1/2,x z+3/4,x+3/4,-y+1/4 z,-y,-x -y+1/4,-z+3/4,-x+3/4 -x,-z+1/2,y+1/2 y+3/4,-z+1/4,x+3/4 x,-z,-y y+1/4,z+3/4,-x+3/4 x+1/2,z,y+1/2 -y+3/4,z+1/4,x+3/4 -x+1/2,z+1/2,-y ---------------------- Hermann-Mauguin symbol: F d -3 m:2 international table number: 227:2 Hall symbol: -F 4vw 2vw 3 primitive Hall symbol: P 4zvw 2xvw 3* 1ab 1bc 1ac -1 lattice type: F: face-centered rotation term 1 input code: 4vw; primitive code: 4zvw order: 4; axisType: z; translation: vw operator: -y,x+1/4,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 3.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2vw; primitive code: 2xvw order: 2; axisType: x; translation: vw operator: x,-y+1/4,-z+1/4 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 3.0] [0.0 0.0 -1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 6 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 7 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (192): x,y,z -y,x+1/4,z+1/4 -x+3/4,-y+1/4,z+1/2 y+3/4,-x,z+3/4 x,-y+1/4,-z+1/4 -y,-x,-z -x+3/4,y,-z+3/4 y+3/4,x+1/4,-z+1/2 z,x,y z+1/4,-y,x+1/4 z+1/2,-x+3/4,-y+1/4 z+3/4,y+3/4,-x -z+1/4,x,-y+1/4 -z,-y,-x -z+3/4,-x+3/4,y -z+1/2,y+3/4,x+1/4 y,z,x x+1/4,z+1/4,-y -y+1/4,z+1/2,-x+3/4 -x,z+3/4,y+3/4 -y+1/4,-z+1/4,x -x,-z,-y y,-z+3/4,-x+3/4 x+1/4,-z+1/2,y+3/4 x+1/2,y+1/2,z -y+1/2,x+3/4,z+1/4 -x+1/4,-y+3/4,z+1/2 y+1/4,-x+1/2,z+3/4 x+1/2,-y+3/4,-z+1/4 -y+1/2,-x+1/2,-z -x+1/4,y+1/2,-z+3/4 y+1/4,x+3/4,-z+1/2 z+1/2,x+1/2,y z+3/4,-y+1/2,x+1/4 z,-x+1/4,-y+1/4 z+1/4,y+1/4,-x -z+3/4,x+1/2,-y+1/4 -z+1/2,-y+1/2,-x -z+1/4,-x+1/4,y -z,y+1/4,x+1/4 y+1/2,z+1/2,x x+3/4,z+3/4,-y -y+3/4,z,-x+3/4 -x+1/2,z+1/4,y+3/4 -y+3/4,-z+3/4,x -x+1/2,-z+1/2,-y y+1/2,-z+1/4,-x+3/4 x+3/4,-z,y+3/4 x+1/2,y,z+1/2 -y+1/2,x+1/4,z+3/4 -x+1/4,-y+1/4,z y+1/4,-x,z+1/4 x+1/2,-y+1/4,-z+3/4 -y+1/2,-x,-z+1/2 -x+1/4,y,-z+1/4 y+1/4,x+1/4,-z z+1/2,x,y+1/2 z+3/4,-y,x+3/4 z,-x+3/4,-y+3/4 z+1/4,y+3/4,-x+1/2 -z+3/4,x,-y+3/4 -z+1/2,-y,-x+1/2 -z+1/4,-x+3/4,y+1/2 -z,y+3/4,x+3/4 y+1/2,z,x+1/2 x+3/4,z+1/4,-y+1/2 -y+3/4,z+1/2,-x+1/4 -x+1/2,z+3/4,y+1/4 -y+3/4,-z+1/4,x+1/2 -x+1/2,-z,-y+1/2 y+1/2,-z+3/4,-x+1/4 x+3/4,-z+1/2,y+1/4 x,y+1/2,z+1/2 -y,x+3/4,z+3/4 -x+3/4,-y+3/4,z y+3/4,-x+1/2,z+1/4 x,-y+3/4,-z+3/4 -y,-x+1/2,-z+1/2 -x+3/4,y+1/2,-z+1/4 y+3/4,x+3/4,-z z,x+1/2,y+1/2 z+1/4,-y+1/2,x+3/4 z+1/2,-x+1/4,-y+3/4 z+3/4,y+1/4,-x+1/2 -z+1/4,x+1/2,-y+3/4 -z,-y+1/2,-x+1/2 -z+3/4,-x+1/4,y+1/2 -z+1/2,y+1/4,x+3/4 y,z+1/2,x+1/2 x+1/4,z+3/4,-y+1/2 -y+1/4,z,-x+1/4 -x,z+1/4,y+1/4 -y+1/4,-z+3/4,x+1/2 -x,-z+1/2,-y+1/2 y,-z+1/4,-x+1/4 x+1/4,-z,y+1/4 -x,-y,-z y,-x+3/4,-z+3/4 x+1/4,y+3/4,-z+1/2 -y+1/4,x,-z+1/4 -x,y+3/4,z+3/4 y,x,z x+1/4,-y,z+1/4 -y+1/4,-x+3/4,z+1/2 -z,-x,-y -z+3/4,y,-x+3/4 -z+1/2,x+1/4,y+3/4 -z+1/4,-y+1/4,x z+3/4,-x,y+3/4 z,y,x z+1/4,x+1/4,-y z+1/2,-y+1/4,-x+3/4 -y,-z,-x -x+3/4,-z+3/4,y y+3/4,-z+1/2,x+1/4 x,-z+1/4,-y+1/4 y+3/4,z+3/4,-x x,z,y -y,z+1/4,x+1/4 -x+3/4,z+1/2,-y+1/4 -x+1/2,-y+1/2,-z y+1/2,-x+1/4,-z+3/4 x+3/4,y+1/4,-z+1/2 -y+3/4,x+1/2,-z+1/4 -x+1/2,y+1/4,z+3/4 y+1/2,x+1/2,z x+3/4,-y+1/2,z+1/4 -y+3/4,-x+1/4,z+1/2 -z+1/2,-x+1/2,-y -z+1/4,y+1/2,-x+3/4 -z,x+3/4,y+3/4 -z+3/4,-y+3/4,x z+1/4,-x+1/2,y+3/4 z+1/2,y+1/2,x z+3/4,x+3/4,-y z,-y+3/4,-x+3/4 -y+1/2,-z+1/2,-x -x+1/4,-z+1/4,y y+1/4,-z,x+1/4 x+1/2,-z+3/4,-y+1/4 y+1/4,z+1/4,-x x+1/2,z+1/2,y -y+1/2,z+3/4,x+1/4 -x+1/4,z,-y+1/4 -x+1/2,-y,-z+1/2 y+1/2,-x+3/4,-z+1/4 x+3/4,y+3/4,-z -y+3/4,x,-z+3/4 -x+1/2,y+3/4,z+1/4 y+1/2,x,z+1/2 x+3/4,-y,z+3/4 -y+3/4,-x+3/4,z -z+1/2,-x,-y+1/2 -z+1/4,y,-x+1/4 -z,x+1/4,y+1/4 -z+3/4,-y+1/4,x+1/2 z+1/4,-x,y+1/4 z+1/2,y,x+1/2 z+3/4,x+1/4,-y+1/2 z,-y+1/4,-x+1/4 -y+1/2,-z,-x+1/2 -x+1/4,-z+3/4,y+1/2 y+1/4,-z+1/2,x+3/4 x+1/2,-z+1/4,-y+3/4 y+1/4,z+3/4,-x+1/2 x+1/2,z,y+1/2 -y+1/2,z+1/4,x+3/4 -x+1/4,z+1/2,-y+3/4 -x,-y+1/2,-z+1/2 y,-x+1/4,-z+1/4 x+1/4,y+1/4,-z -y+1/4,x+1/2,-z+3/4 -x,y+1/4,z+1/4 y,x+1/2,z+1/2 x+1/4,-y+1/2,z+3/4 -y+1/4,-x+1/4,z -z,-x+1/2,-y+1/2 -z+3/4,y+1/2,-x+1/4 -z+1/2,x+3/4,y+1/4 -z+1/4,-y+3/4,x+1/2 z+3/4,-x+1/2,y+1/4 z,y+1/2,x+1/2 z+1/4,x+3/4,-y+1/2 z+1/2,-y+3/4,-x+1/4 -y,-z+1/2,-x+1/2 -x+3/4,-z+1/4,y+1/2 y+3/4,-z,x+3/4 x,-z+3/4,-y+3/4 y+3/4,z+1/4,-x+1/2 x,z+1/2,y+1/2 -y,z+3/4,x+3/4 -x+3/4,z,-y+3/4 ---------------------- Hermann-Mauguin symbol: F d -3 c:1 international table number: 228:1 Hall symbol: F 4d 2 3 -1ad primitive Hall symbol: P 4zd 2x 3* -1ad 1ab 1bc 1ac lattice type: -F: centrosymmetric face-centered rotation term 1 input code: 4d; primitive code: 4zd order: 4; axisType: z; translation: d operator: -y+1/4,x+1/4,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 3.0] [1.0 0.0 0.0 3.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: -1ad; primitive code: -1ad order: 1 (improper axis); translation: ad operator: -x+3/4,-y+1/4,-z+1/4 Seitz matrix(12ths): [ [-1.0 0.0 0.0 9.0] [0.0 -1.0 0.0 3.0] [0.0 0.0 -1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 6 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 7 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (192): x,y,z -y+1/4,x+1/4,z+1/4 -x,-y+1/2,z+1/2 y+3/4,-x+1/4,z+3/4 x,-y,-z -y+1/4,-x+3/4,-z+3/4 -x,y+1/2,-z+1/2 y+3/4,x+3/4,-z+1/4 z,x,y z+1/4,-y+1/4,x+1/4 z+1/2,-x,-y+1/2 z+3/4,y+3/4,-x+1/4 -z,x,-y -z+3/4,-y+1/4,-x+3/4 -z+1/2,-x,y+1/2 -z+1/4,y+3/4,x+3/4 y,z,x x+1/4,z+1/4,-y+1/4 -y+1/2,z+1/2,-x -x+1/4,z+3/4,y+3/4 -y,-z,x -x+3/4,-z+3/4,-y+1/4 y+1/2,-z+1/2,-x x+3/4,-z+1/4,y+3/4 -x+3/4,-y+1/4,-z+1/4 y+1/2,-x,-z x+3/4,y+3/4,-z+3/4 -y,x,-z+1/2 -x+3/4,y+1/4,z+1/4 y+1/2,x+1/2,z+1/2 x+3/4,-y+3/4,z+3/4 -y,-x+1/2,z -z+3/4,-x+1/4,-y+1/4 -z+1/2,y,-x -z+1/4,x+1/4,y+3/4 -z,-y+1/2,x z+3/4,-x+1/4,y+1/4 z,y,x+1/2 z+1/4,x+1/4,-y+3/4 z+1/2,-y+1/2,-x+1/2 -y+3/4,-z+1/4,-x+1/4 -x+1/2,-z,y y+1/4,-z+3/4,x+1/4 x+1/2,-z+1/2,-y+1/2 y+3/4,z+1/4,-x+1/4 x,z+1/2,y -y+1/4,z+3/4,x+1/4 -x,z,-y+1/2 -x+1/4,-y+3/4,-z+1/4 y,-x+1/2,-z x+1/4,y+1/4,-z+3/4 -y+1/2,x+1/2,-z+1/2 -x+1/4,y+3/4,z+1/4 y,x,z+1/2 x+1/4,-y+1/4,z+3/4 -y+1/2,-x,z -z+1/4,-x+3/4,-y+1/4 -z,y+1/2,-x -z+3/4,x+3/4,y+3/4 -z+1/2,-y,x z+1/4,-x+3/4,y+1/4 z+1/2,y+1/2,x+1/2 z+3/4,x+3/4,-y+3/4 z,-y,-x+1/2 -y+1/4,-z+3/4,-x+1/4 -x,-z+1/2,y y+3/4,-z+1/4,x+1/4 x,-z,-y+1/2 y+1/4,z+3/4,-x+1/4 x+1/2,z,y -y+3/4,z+1/4,x+1/4 -x+1/2,z+1/2,-y+1/2 x+1/2,y+1/2,z -y+3/4,x+3/4,z+1/4 -x+1/2,-y,z+1/2 y+1/4,-x+3/4,z+3/4 x+1/2,-y+1/2,-z -y+3/4,-x+1/4,-z+3/4 -x+1/2,y,-z+1/2 y+1/4,x+1/4,-z+1/4 z+1/2,x+1/2,y z+3/4,-y+3/4,x+1/4 z,-x+1/2,-y+1/2 z+1/4,y+1/4,-x+1/4 -z+1/2,x+1/2,-y -z+1/4,-y+3/4,-x+3/4 -z,-x+1/2,y+1/2 -z+3/4,y+1/4,x+3/4 y+1/2,z+1/2,x x+3/4,z+3/4,-y+1/4 -y,z,-x -x+3/4,z+1/4,y+3/4 -y+1/2,-z+1/2,x -x+1/4,-z+1/4,-y+1/4 y,-z,-x x+1/4,-z+3/4,y+3/4 -x+1/4,-y+1/4,-z+3/4 y,-x,-z+1/2 x+1/4,y+3/4,-z+1/4 -y+1/2,x,-z -x+1/4,y+1/4,z+3/4 y,x+1/2,z x+1/4,-y+3/4,z+1/4 -y+1/2,-x+1/2,z+1/2 -z+1/4,-x+1/4,-y+3/4 -z,y,-x+1/2 -z+3/4,x+1/4,y+1/4 -z+1/2,-y+1/2,x+1/2 z+1/4,-x+1/4,y+3/4 z+1/2,y,x z+3/4,x+1/4,-y+1/4 z,-y+1/2,-x -y+1/4,-z+1/4,-x+3/4 -x,-z,y+1/2 y+3/4,-z+3/4,x+3/4 x,-z+1/2,-y y+1/4,z+1/4,-x+3/4 x+1/2,z+1/2,y+1/2 -y+3/4,z+3/4,x+3/4 -x+1/2,z,-y x+1/2,y,z+1/2 -y+3/4,x+1/4,z+3/4 -x+1/2,-y+1/2,z y+1/4,-x+1/4,z+1/4 x+1/2,-y,-z+1/2 -y+3/4,-x+3/4,-z+1/4 -x+1/2,y+1/2,-z y+1/4,x+3/4,-z+3/4 z+1/2,x,y+1/2 z+3/4,-y+1/4,x+3/4 z,-x,-y z+1/4,y+3/4,-x+3/4 -z+1/2,x,-y+1/2 -z+1/4,-y+1/4,-x+1/4 -z,-x,y -z+3/4,y+3/4,x+1/4 y+1/2,z,x+1/2 x+3/4,z+1/4,-y+3/4 -y,z+1/2,-x+1/2 -x+3/4,z+3/4,y+1/4 -y+1/2,-z,x+1/2 -x+1/4,-z+3/4,-y+3/4 y,-z+1/2,-x+1/2 x+1/4,-z+1/4,y+1/4 x,y+1/2,z+1/2 -y+1/4,x+3/4,z+3/4 -x,-y,z y+3/4,-x+3/4,z+1/4 x,-y+1/2,-z+1/2 -y+1/4,-x+1/4,-z+1/4 -x,y,-z y+3/4,x+1/4,-z+3/4 z,x+1/2,y+1/2 z+1/4,-y+3/4,x+3/4 z+1/2,-x+1/2,-y z+3/4,y+1/4,-x+3/4 -z,x+1/2,-y+1/2 -z+3/4,-y+3/4,-x+1/4 -z+1/2,-x+1/2,y -z+1/4,y+1/4,x+1/4 y,z+1/2,x+1/2 x+1/4,z+3/4,-y+3/4 -y+1/2,z,-x+1/2 -x+1/4,z+1/4,y+1/4 -y,-z+1/2,x+1/2 -x+3/4,-z+1/4,-y+3/4 y+1/2,-z,-x+1/2 x+3/4,-z+3/4,y+1/4 -x+3/4,-y+3/4,-z+3/4 y+1/2,-x+1/2,-z+1/2 x+3/4,y+1/4,-z+1/4 -y,x+1/2,-z -x+3/4,y+3/4,z+3/4 y+1/2,x,z x+3/4,-y+1/4,z+1/4 -y,-x,z+1/2 -z+3/4,-x+3/4,-y+3/4 -z+1/2,y+1/2,-x+1/2 -z+1/4,x+3/4,y+1/4 -z,-y,x+1/2 z+3/4,-x+3/4,y+3/4 z,y+1/2,x z+1/4,x+3/4,-y+1/4 z+1/2,-y,-x -y+3/4,-z+3/4,-x+3/4 -x+1/2,-z+1/2,y+1/2 y+1/4,-z+1/4,x+3/4 x+1/2,-z,-y y+3/4,z+3/4,-x+3/4 x,z,y+1/2 -y+1/4,z+1/4,x+3/4 -x,z+1/2,-y ---------------------- Hermann-Mauguin symbol: F d -3 c:2 international table number: 228:2 Hall symbol: -F 4ud 2vw 3 primitive Hall symbol: P 4zud 2xvw 3* 1ab 1bc 1ac -1 lattice type: F: face-centered rotation term 1 input code: 4ud; primitive code: 4zud order: 4; axisType: z; translation: ud operator: -y+1/2,x+1/4,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 6.0] [1.0 0.0 0.0 3.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2vw; primitive code: 2xvw order: 2; axisType: x; translation: vw operator: x,-y+1/4,-z+1/4 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 3.0] [0.0 0.0 -1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1ab; primitive code: 1ab order: 1; translation: ab operator: x+1/2,y+1/2,z Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: 1bc; primitive code: 1bc order: 1; translation: bc operator: x,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 6 input code: 1ac; primitive code: 1ac order: 1; translation: ac operator: x+1/2,y,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 0.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 7 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (192): x,y,z -y+1/2,x+1/4,z+1/4 -x+1/4,-y+3/4,z+1/2 y+3/4,-x+1/2,z+3/4 x,-y+1/4,-z+1/4 -y+1/2,-x,-z -x+1/4,y+1/2,-z+3/4 y+3/4,x+3/4,-z+1/2 z,x,y z+1/4,-y+1/2,x+1/4 z+1/2,-x+1/4,-y+3/4 z+3/4,y+3/4,-x+1/2 -z+1/4,x,-y+1/4 -z,-y+1/2,-x -z+3/4,-x+1/4,y+1/2 -z+1/2,y+3/4,x+3/4 y,z,x x+1/4,z+1/4,-y+1/2 -y+3/4,z+1/2,-x+1/4 -x+1/2,z+3/4,y+3/4 -y+1/4,-z+1/4,x -x,-z,-y+1/2 y+1/2,-z+3/4,-x+1/4 x+3/4,-z+1/2,y+3/4 x+1/2,y+1/2,z -y,x+3/4,z+1/4 -x+3/4,-y+1/4,z+1/2 y+1/4,-x,z+3/4 x+1/2,-y+3/4,-z+1/4 -y,-x+1/2,-z -x+3/4,y,-z+3/4 y+1/4,x+1/4,-z+1/2 z+1/2,x+1/2,y z+3/4,-y,x+1/4 z,-x+3/4,-y+3/4 z+1/4,y+1/4,-x+1/2 -z+3/4,x+1/2,-y+1/4 -z+1/2,-y,-x -z+1/4,-x+3/4,y+1/2 -z,y+1/4,x+3/4 y+1/2,z+1/2,x x+3/4,z+3/4,-y+1/2 -y+1/4,z,-x+1/4 -x,z+1/4,y+3/4 -y+3/4,-z+3/4,x -x+1/2,-z+1/2,-y+1/2 y,-z+1/4,-x+1/4 x+1/4,-z,y+3/4 x+1/2,y,z+1/2 -y,x+1/4,z+3/4 -x+3/4,-y+3/4,z y+1/4,-x+1/2,z+1/4 x+1/2,-y+1/4,-z+3/4 -y,-x,-z+1/2 -x+3/4,y+1/2,-z+1/4 y+1/4,x+3/4,-z z+1/2,x,y+1/2 z+3/4,-y+1/2,x+3/4 z,-x+1/4,-y+1/4 z+1/4,y+3/4,-x -z+3/4,x,-y+3/4 -z+1/2,-y+1/2,-x+1/2 -z+1/4,-x+1/4,y -z,y+3/4,x+1/4 y+1/2,z,x+1/2 x+3/4,z+1/4,-y -y+1/4,z+1/2,-x+3/4 -x,z+3/4,y+1/4 -y+3/4,-z+1/4,x+1/2 -x+1/2,-z,-y y,-z+3/4,-x+3/4 x+1/4,-z+1/2,y+1/4 x,y+1/2,z+1/2 -y+1/2,x+3/4,z+3/4 -x+1/4,-y+1/4,z y+3/4,-x,z+1/4 x,-y+3/4,-z+3/4 -y+1/2,-x+1/2,-z+1/2 -x+1/4,y,-z+1/4 y+3/4,x+1/4,-z z,x+1/2,y+1/2 z+1/4,-y,x+3/4 z+1/2,-x+3/4,-y+1/4 z+3/4,y+1/4,-x -z+1/4,x+1/2,-y+3/4 -z,-y,-x+1/2 -z+3/4,-x+3/4,y -z+1/2,y+1/4,x+1/4 y,z+1/2,x+1/2 x+1/4,z+3/4,-y -y+3/4,z,-x+3/4 -x+1/2,z+1/4,y+1/4 -y+1/4,-z+3/4,x+1/2 -x,-z+1/2,-y y+1/2,-z+1/4,-x+3/4 x+3/4,-z,y+1/4 -x,-y,-z y+1/2,-x+3/4,-z+3/4 x+3/4,y+1/4,-z+1/2 -y+1/4,x+1/2,-z+1/4 -x,y+3/4,z+3/4 y+1/2,x,z x+3/4,-y+1/2,z+1/4 -y+1/4,-x+1/4,z+1/2 -z,-x,-y -z+3/4,y+1/2,-x+3/4 -z+1/2,x+3/4,y+1/4 -z+1/4,-y+1/4,x+1/2 z+3/4,-x,y+3/4 z,y+1/2,x z+1/4,x+3/4,-y+1/2 z+1/2,-y+1/4,-x+1/4 -y,-z,-x -x+3/4,-z+3/4,y+1/2 y+1/4,-z+1/2,x+3/4 x+1/2,-z+1/4,-y+1/4 y+3/4,z+3/4,-x x,z,y+1/2 -y+1/2,z+1/4,x+3/4 -x+1/4,z+1/2,-y+1/4 -x+1/2,-y+1/2,-z y,-x+1/4,-z+3/4 x+1/4,y+3/4,-z+1/2 -y+3/4,x,-z+1/4 -x+1/2,y+1/4,z+3/4 y,x+1/2,z x+1/4,-y,z+1/4 -y+3/4,-x+3/4,z+1/2 -z+1/2,-x+1/2,-y -z+1/4,y,-x+3/4 -z,x+1/4,y+1/4 -z+3/4,-y+3/4,x+1/2 z+1/4,-x+1/2,y+3/4 z+1/2,y,x z+3/4,x+1/4,-y+1/2 z,-y+3/4,-x+1/4 -y+1/2,-z+1/2,-x -x+1/4,-z+1/4,y+1/2 y+3/4,-z,x+3/4 x,-z+3/4,-y+1/4 y+1/4,z+1/4,-x x+1/2,z+1/2,y+1/2 -y,z+3/4,x+3/4 -x+3/4,z,-y+1/4 -x+1/2,-y,-z+1/2 y,-x+3/4,-z+1/4 x+1/4,y+1/4,-z -y+3/4,x+1/2,-z+3/4 -x+1/2,y+3/4,z+1/4 y,x,z+1/2 x+1/4,-y+1/2,z+3/4 -y+3/4,-x+1/4,z -z+1/2,-x,-y+1/2 -z+1/4,y+1/2,-x+1/4 -z,x+3/4,y+3/4 -z+3/4,-y+1/4,x z+1/4,-x,y+1/4 z+1/2,y+1/2,x+1/2 z+3/4,x+3/4,-y z,-y+1/4,-x+3/4 -y+1/2,-z,-x+1/2 -x+1/4,-z+3/4,y y+3/4,-z+1/2,x+1/4 x,-z+1/4,-y+3/4 y+1/4,z+3/4,-x+1/2 x+1/2,z,y -y,z+1/4,x+1/4 -x+3/4,z+1/2,-y+3/4 -x,-y+1/2,-z+1/2 y+1/2,-x+1/4,-z+1/4 x+3/4,y+3/4,-z -y+1/4,x,-z+3/4 -x,y+1/4,z+1/4 y+1/2,x+1/2,z+1/2 x+3/4,-y,z+3/4 -y+1/4,-x+3/4,z -z,-x+1/2,-y+1/2 -z+3/4,y,-x+1/4 -z+1/2,x+1/4,y+3/4 -z+1/4,-y+3/4,x z+3/4,-x+1/2,y+1/4 z,y,x+1/2 z+1/4,x+1/4,-y z+1/2,-y+3/4,-x+3/4 -y,-z+1/2,-x+1/2 -x+3/4,-z+1/4,y y+1/4,-z,x+1/4 x+1/2,-z+3/4,-y+3/4 y+3/4,z+1/4,-x+1/2 x,z+1/2,y -y+1/2,z+3/4,x+1/4 -x+1/4,z,-y+3/4 ---------------------- Hermann-Mauguin symbol: I m -3 m international table number: 229 Hall symbol: -I 4 2 3 primitive Hall symbol: P 4z 2x 3* 1n -1 lattice type: I: body-centered rotation term 1 input code: 4; primitive code: 4z order: 4; axisType: z operator: -y,x,z Seitz matrix(12ths): [ [0.0 -1.0 0.0 0.0] [1.0 0.0 0.0 0.0] [0.0 0.0 1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2; primitive code: 2x order: 2; axisType: x operator: x,-y,-z Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (96): x,y,z -y,x,z -x,-y,z y,-x,z x,-y,-z -y,-x,-z -x,y,-z y,x,-z z,x,y z,-y,x z,-x,-y z,y,-x -z,x,-y -z,-y,-x -z,-x,y -z,y,x y,z,x x,z,-y -y,z,-x -x,z,y -y,-z,x -x,-z,-y y,-z,-x x,-z,y x+1/2,y+1/2,z+1/2 -y+1/2,x+1/2,z+1/2 -x+1/2,-y+1/2,z+1/2 y+1/2,-x+1/2,z+1/2 x+1/2,-y+1/2,-z+1/2 -y+1/2,-x+1/2,-z+1/2 -x+1/2,y+1/2,-z+1/2 y+1/2,x+1/2,-z+1/2 z+1/2,x+1/2,y+1/2 z+1/2,-y+1/2,x+1/2 z+1/2,-x+1/2,-y+1/2 z+1/2,y+1/2,-x+1/2 -z+1/2,x+1/2,-y+1/2 -z+1/2,-y+1/2,-x+1/2 -z+1/2,-x+1/2,y+1/2 -z+1/2,y+1/2,x+1/2 y+1/2,z+1/2,x+1/2 x+1/2,z+1/2,-y+1/2 -y+1/2,z+1/2,-x+1/2 -x+1/2,z+1/2,y+1/2 -y+1/2,-z+1/2,x+1/2 -x+1/2,-z+1/2,-y+1/2 y+1/2,-z+1/2,-x+1/2 x+1/2,-z+1/2,y+1/2 -x+1/2,-y+1/2,-z+1/2 y+1/2,-x+1/2,-z+1/2 x+1/2,y+1/2,-z+1/2 -y+1/2,x+1/2,-z+1/2 -x+1/2,y+1/2,z+1/2 y+1/2,x+1/2,z+1/2 x+1/2,-y+1/2,z+1/2 -y+1/2,-x+1/2,z+1/2 -z+1/2,-x+1/2,-y+1/2 -z+1/2,y+1/2,-x+1/2 -z+1/2,x+1/2,y+1/2 -z+1/2,-y+1/2,x+1/2 z+1/2,-x+1/2,y+1/2 z+1/2,y+1/2,x+1/2 z+1/2,x+1/2,-y+1/2 z+1/2,-y+1/2,-x+1/2 -y+1/2,-z+1/2,-x+1/2 -x+1/2,-z+1/2,y+1/2 y+1/2,-z+1/2,x+1/2 x+1/2,-z+1/2,-y+1/2 y+1/2,z+1/2,-x+1/2 x+1/2,z+1/2,y+1/2 -y+1/2,z+1/2,x+1/2 -x+1/2,z+1/2,-y+1/2 -x,-y,-z y,-x,-z x,y,-z -y,x,-z -x,y,z y,x,z x,-y,z -y,-x,z -z,-x,-y -z,y,-x -z,x,y -z,-y,x z,-x,y z,y,x z,x,-y z,-y,-x -y,-z,-x -x,-z,y y,-z,x x,-z,-y y,z,-x x,z,y -y,z,x -x,z,-y ---------------------- Hermann-Mauguin symbol: I a -3 d international table number: 230 Hall symbol: -I 4bd 2c 3 primitive Hall symbol: P 4zbd 2xc 3* 1n -1 lattice type: I: body-centered rotation term 1 input code: 4bd; primitive code: 4zbd order: 4; axisType: z; translation: bd operator: -y+1/4,x+3/4,z+1/4 Seitz matrix(12ths): [ [0.0 -1.0 0.0 3.0] [1.0 0.0 0.0 9.0] [0.0 0.0 1.0 3.0] [0.0 0.0 0.0 1.0] ] rotation term 2 input code: 2c; primitive code: 2xc order: 2; axisType: x; translation: c operator: x,-y,-z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 3 input code: 3; primitive code: 3* order: 3; axisType: * operator: z,x,y Seitz matrix(12ths): [ [0.0 0.0 1.0 0.0] [1.0 0.0 0.0 0.0] [0.0 1.0 0.0 0.0] [0.0 0.0 0.0 1.0] ] rotation term 4 input code: 1n; primitive code: 1n order: 1; translation: n operator: x+1/2,y+1/2,z+1/2 Seitz matrix(12ths): [ [1.0 0.0 0.0 6.0] [0.0 1.0 0.0 6.0] [0.0 0.0 1.0 6.0] [0.0 0.0 0.0 1.0] ] rotation term 5 input code: -1; primitive code: -1 order: 1 (improper axis) operator: -x,-y,-z Seitz matrix(12ths): [ [-1.0 0.0 0.0 0.0] [0.0 -1.0 0.0 0.0] [0.0 0.0 -1.0 0.0] [0.0 0.0 0.0 1.0] ] Operators from Hall symbol (96): x,y,z -y+1/4,x+3/4,z+1/4 -x+1/2,-y,z+1/2 y+1/4,-x+1/4,z+3/4 x,-y,-z+1/2 -y+1/4,-x+1/4,-z+1/4 -x+1/2,y,-z y+1/4,x+3/4,-z+3/4 z,x,y z+1/4,-y+1/4,x+3/4 z+1/2,-x+1/2,-y z+3/4,y+1/4,-x+1/4 -z+1/2,x,-y -z+1/4,-y+1/4,-x+1/4 -z,-x+1/2,y -z+3/4,y+1/4,x+3/4 y,z,x x+3/4,z+1/4,-y+1/4 -y,z+1/2,-x+1/2 -x+1/4,z+3/4,y+1/4 -y,-z+1/2,x -x+1/4,-z+1/4,-y+1/4 y,-z,-x+1/2 x+3/4,-z+3/4,y+1/4 x+1/2,y+1/2,z+1/2 -y+3/4,x+1/4,z+3/4 -x,-y+1/2,z y+3/4,-x+3/4,z+1/4 x+1/2,-y+1/2,-z -y+3/4,-x+3/4,-z+3/4 -x,y+1/2,-z+1/2 y+3/4,x+1/4,-z+1/4 z+1/2,x+1/2,y+1/2 z+3/4,-y+3/4,x+1/4 z,-x,-y+1/2 z+1/4,y+3/4,-x+3/4 -z,x+1/2,-y+1/2 -z+3/4,-y+3/4,-x+3/4 -z+1/2,-x,y+1/2 -z+1/4,y+3/4,x+1/4 y+1/2,z+1/2,x+1/2 x+1/4,z+3/4,-y+3/4 -y+1/2,z,-x -x+3/4,z+1/4,y+3/4 -y+1/2,-z,x+1/2 -x+3/4,-z+3/4,-y+3/4 y+1/2,-z+1/2,-x x+1/4,-z+1/4,y+3/4 -x+1/2,-y+1/2,-z+1/2 y+1/4,-x+3/4,-z+1/4 x,y+1/2,-z -y+1/4,x+1/4,-z+3/4 -x+1/2,y+1/2,z y+1/4,x+1/4,z+1/4 x,-y+1/2,z+1/2 -y+1/4,-x+3/4,z+3/4 -z+1/2,-x+1/2,-y+1/2 -z+1/4,y+1/4,-x+3/4 -z,x,y+1/2 -z+3/4,-y+1/4,x+1/4 z,-x+1/2,y+1/2 z+1/4,y+1/4,x+1/4 z+1/2,x,-y+1/2 z+3/4,-y+1/4,-x+3/4 -y+1/2,-z+1/2,-x+1/2 -x+3/4,-z+1/4,y+1/4 y+1/2,-z,x x+1/4,-z+3/4,-y+1/4 y+1/2,z,-x+1/2 x+1/4,z+1/4,y+1/4 -y+1/2,z+1/2,x -x+3/4,z+3/4,-y+1/4 -x,-y,-z y+3/4,-x+1/4,-z+3/4 x+1/2,y,-z+1/2 -y+3/4,x+3/4,-z+1/4 -x,y,z+1/2 y+3/4,x+3/4,z+3/4 x+1/2,-y,z -y+3/4,-x+1/4,z+1/4 -z,-x,-y -z+3/4,y+3/4,-x+1/4 -z+1/2,x+1/2,y -z+1/4,-y+3/4,x+3/4 z+1/2,-x,y z+3/4,y+3/4,x+3/4 z,x+1/2,-y z+1/4,-y+3/4,-x+1/4 -y,-z,-x -x+1/4,-z+3/4,y+3/4 y,-z+1/2,x+1/2 x+3/4,-z+1/4,-y+3/4 y,z+1/2,-x x+3/4,z+3/4,y+3/4 -y,z,x+1/2 -x+1/4,z+1/4,-y+3/4