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Result of symbol lookup:
Space group number: 43
Schoenflies symbol: C2v^19
Hermann-Mauguin symbol: F d d 2
Hall symbol: F 2 -2d
Input space group symbol: F d d 2
Convention: Default
Number of lattice translations: 4
Space group is acentric.
Number of representative symmetry operations: 4
Total number of symmetry operations: 16
Parallelepiped containing an asymmetric unit:
0<=x<1/2; 0<=y<=1/8; 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
|
-x+1/4,y+1/4,z+1/4
| -2 | [1,0,0] | 0,1/4,1/4 | 1/8,0,0
|
x+3/4,-y+3/4,z+1/4
| -2 | [0,1,0] | 3/4,0,1/4 | 0,3/8,0
|
x,y+1/2,z+1/2
| 1 | - | - | -
|
-x,-y+1/2,z+1/2
| 2 | [0,0,1] | 0,0,1/2 | 0,1/4,0
|
-x+1/4,y+3/4,z+3/4
| -2 | [1,0,0] | 0,3/4,3/4 | 1/8,0,0
|
x+3/4,-y+5/4,z+3/4
| -2 | [0,1,0] | 3/4,0,3/4 | 0,5/8,0
|
x+1/2,y,z+1/2
| 1 | - | - | -
|
-x+1/2,-y,z+1/2
| 2 | [0,0,1] | 0,0,1/2 | 1/4,0,0
|
-x+3/4,y+1/4,z+3/4
| -2 | [1,0,0] | 0,1/4,3/4 | 3/8,0,0
|
x+5/4,-y+3/4,z+3/4
| -2 | [0,1,0] | 5/4,0,3/4 | 0,3/8,0
|
x+1/2,y+1/2,z
| 1 | - | - | -
|
-x+1/2,-y+1/2,z
| 2 | [0,0,1] | 0,0,0 | 1/4,1/4,0
|
-x+3/4,y+3/4,z+1/4
| -2 | [1,0,0] | 0,3/4,1/4 | 3/8,0,0
|
x+5/4,-y+5/4,z+1/4
| -2 | [0,1,0] | 5/4,0,1/4 | 0,5/8,0
|
List of Wyckoff positions:
Wyckoff letter
| Multiplicity
| Site symmetry point group type
| Representative special position operator
|
b | 16 | 1 | x,y,z
|
a | 8 | 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: 1
Vector Modulus
(0, 0, 1) 0
Inversion through a centre at: 1/8,1/8,0
Grid factors implied by symmetries:
Space group: (4, 4, 4)
Structure-seminvariant vectors and moduli: (1, 1, 1)
Euclidean normalizer: (4, 4, 4)
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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