[Index of services]
[New input]
Result of symbol lookup:
Space group number: 4
Schoenflies symbol: C2^2
HermannMauguin symbol: P 1 21 1
Unique axis: b
Hall symbol: P 2yb
Input space group symbol: P 1 21 1
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
 Rotationpart type
 Axis direction
 Screw/glide component
 Origin shift

x,y,z
 1      

x,y+1/2,z
 2  [0,1,0]  0,1/2,0  0,0,0

List of Wyckoff positions:
Wyckoff letter
 Multiplicity
 Site symmetry point group type
 Representative special position operator

a  2  1  x,y,z

Harker planes:
Algebraic
 Normal vector
 A point in the plane

2*x,1/2,2*z  [0,1,0]  0,1/2,0

Additional generators of Euclidean normalizer:
Number of structureseminvariant vectors and moduli: 3
Vector Modulus
(1, 0, 0) 2
(0, 1, 0) 0
(0, 0, 1) 2
Inversion through a centre at: 0,0,0
Grid factors implied by symmetries:
Space group: (1, 2, 1)
Structureseminvariant vectors and moduli: (2, 1, 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.
[Index of services]
[New input]