[Index of services] [New input]
Result of symbol lookup:
  Space group number: 50
  Schoenflies symbol: D2h^4
  Hermann-Mauguin symbol: P b a n
  Origin choice: 2
  Hall symbol: -P 2ab 2b

Input space group symbol: P b a n :2
Convention: Default

Number of lattice translations: 1
Space group is centric.
Number of representative symmetry operations: 4
Total number of symmetry operations: 8

Parallelepiped containing an asymmetric unit:
  0<=x<=1/4; 1/4<=y<=3/4; 0<=z<1

List of symmetry operations:
Matrix Rotation-part type Axis direction Screw/glide component Origin shift
x,y,z 1---
-x+1/2,-y+1/2,z 2[0,0,1]0,0,01/4,1/4,0
x,-y+1/2,-z 2[1,0,0]0,0,00,1/4,0
-x+1/2,y,-z 2[0,1,0]0,0,01/4,0,0
-x,-y,-z -1--0,0,0
x-1/2,y-1/2,-z -2[0,0,1]-1/2,-1/2,00,0,0
-x,y-1/2,z -2[1,0,0]0,-1/2,00,0,0
x-1/2,-y,z -2[0,1,0]-1/2,0,00,0,0

List of Wyckoff positions:
Wyckoff letter Multiplicity Site symmetry
point group type
Representative special position operator
m81x,y,z
l421/4,-1/4,z
k421/4,1/4,z
j421/4,y,1/2
i421/4,y,0
h42x,1/4,1/2
g42x,1/4,0
f4-10,0,1/2
e4-10,0,0
d22221/4,1/4,1/2
c2222-1/4,1/4,1/2
b2222-1/4,1/4,0
a22221/4,1/4,0

Harker planes:
Algebraic Normal vector A point in the plane
2*x+1/2,2*y+1/2,0[0,0,1]1/2,1/2,0
0,2*y+1/2,2*z[1,0,0]0,1/2,0
2*x+1/2,0,2*z[0,1,0]1/2,0,0

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) 2

Grid factors implied by symmetries:
  Space group: (2, 2, 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.


[Index of services] [New input]