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Result of symbol lookup:
Space group number: 3
Schoenflies symbol: C2^1
Hermann-Mauguin symbol: P 1 1 2
Unique axis: c
Hall symbol: P 2
Input space group symbol: P 1 1 2
Convention: Default
Number of lattice translations: 1
Space group is acentric.
Space group is chiral.
Number of representative symmetry operations: 2
Total number of symmetry operations: 2
Parallelepiped containing an asymmetric unit:
0<=x<1; 0<=y<=1/2; 0<=z<1
List of symmetry operations:
Matrix
| Rotation-part type
| Axis direction
| Screw/glide component
| Origin shift
|
x,y,z
| 1 | - | - | -
|
-x,-y,z
| 2 | [0,0,1] | 0,0,0 | 0,0,0
|
List of Wyckoff positions:
Wyckoff letter
| Multiplicity
| Site symmetry point group type
| Representative special position operator
|
e | 2 | 1 | x,y,z
|
d | 1 | 2 | 1/2,1/2,z
|
c | 1 | 2 | 0,1/2,z
|
b | 1 | 2 | 1/2,0,z
|
a | 1 | 2 | 0,0,z
|
Harker planes:
Algebraic
| Normal vector
| A point in the plane
|
2*x,2*y,0 | [0,0,1] | 0,0,0
|
Additional generators of Euclidean normalizer:
Number of structure-seminvariant vectors and moduli: 3
Vector Modulus
(1, 0, 0) 2
(0, 1, 0) 2
(0, 0, 1) 0
Inversion through a centre at: 0,0,0
Grid factors implied by symmetries:
Space group: (1, 1, 1)
Structure-seminvariant vectors and moduli: (2, 2, 1)
Euclidean normalizer: (2, 2, 1)
All points of a grid over the unit cell are mapped
exactly onto other grid points only if the factors
shown above are factors of the grid.
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