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Result of symbol lookup:
Space group number: 2
Schoenflies symbol: Ci^1
Hermann-Mauguin symbol: P -1
Hall symbol: -P 1
Input space group symbol: P -1
Convention: Default
Number of lattice translations: 1
Space group is centric.
Number of representative symmetry operations: 1
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
| -1 | - | - | 0,0,0
|
List of Wyckoff positions:
Wyckoff letter
| Multiplicity
| Site symmetry point group type
| Representative special position operator
|
i | 2 | 1 | x,y,z
|
h | 1 | -1 | 1/2,1/2,1/2
|
g | 1 | -1 | 0,1/2,1/2
|
f | 1 | -1 | 1/2,0,1/2
|
e | 1 | -1 | 1/2,1/2,0
|
d | 1 | -1 | 1/2,0,0
|
c | 1 | -1 | 0,1/2,0
|
b | 1 | -1 | 0,0,1/2
|
a | 1 | -1 | 0,0,0
|
Harker planes:
Algebraic
| Normal vector
| A point in the plane
|
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) 2
Grid factors implied by symmetries:
Space group: (1, 1, 1)
Structure-seminvariant vectors and moduli: (2, 2, 2)
Euclidean normalizer: (2, 2, 2)
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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