Bilbao Crystallographic Server WYCKPOS Wyckoff Positions Help

## Wyckoff Positions of Group 228 (Fd-3c) [origin choice 1]

Multiplicity Wyckoff
letter
Site
symmetry
Coordinates
(0,0,0) + (0,1/2,1/2) + (1/2,0,1/2) + (1/2,1/2,0) +
192h1
 (x,y,z) (-x,-y+1/2,z+1/2) (-x+1/2,y+1/2,-z) (x+1/2,-y,-z+1/2) (z,x,y) (z+1/2,-x,-y+1/2) (-z,-x+1/2,y+1/2) (-z+1/2,x+1/2,-y) (y,z,x) (-y+1/2,z+1/2,-x) (y+1/2,-z,-x+1/2) (-y,-z+1/2,x+1/2) (y+3/4,x+1/4,-z+3/4) (-y+1/4,-x+1/4,-z+1/4) (y+1/4,-x+3/4,z+3/4) (-y+3/4,x+3/4,z+1/4) (x+3/4,z+1/4,-y+3/4) (-x+3/4,z+3/4,y+1/4) (-x+1/4,-z+1/4,-y+1/4) (x+1/4,-z+3/4,y+3/4) (z+3/4,y+1/4,-x+3/4) (z+1/4,-y+3/4,x+3/4) (-z+3/4,y+3/4,x+1/4) (-z+1/4,-y+1/4,-x+1/4) (-x+3/4,-y+3/4,-z+3/4) (x+3/4,y+1/4,-z+1/4) (x+1/4,-y+1/4,z+3/4) (-x+1/4,y+3/4,z+1/4) (-z+3/4,-x+3/4,-y+3/4) (-z+1/4,x+3/4,y+1/4) (z+3/4,x+1/4,-y+1/4) (z+1/4,-x+1/4,y+3/4) (-y+3/4,-z+3/4,-x+3/4) (y+1/4,-z+1/4,x+3/4) (-y+1/4,z+3/4,x+1/4) (y+3/4,z+1/4,-x+1/4) (-y,-x+1/2,z) (y+1/2,x+1/2,z+1/2) (-y+1/2,x,-z) (y,-x,-z+1/2) (-x,-z+1/2,y) (x,-z,-y+1/2) (x+1/2,z+1/2,y+1/2) (-x+1/2,z,-y) (-z,-y+1/2,x) (-z+1/2,y,-x) (z,-y,-x+1/2) (z+1/2,y+1/2,x+1/2)
96g..2
 (1/8,y,-y+1/4) (7/8,-y+1/2,-y+3/4) (3/8,y+1/2,y+3/4) (5/8,-y,y+1/4) (-y+1/4,1/8,y) (-y+3/4,7/8,-y+1/2) (y+3/4,3/8,y+1/2) (y+1/4,5/8,-y) (y,-y+1/4,1/8) (-y+1/2,-y+3/4,7/8) (y+1/2,y+3/4,3/8) (-y,y+1/4,5/8) (5/8,-y+3/4,y+1/2) (7/8,y+1/4,y) (3/8,-y+1/4,-y) (1/8,y+3/4,-y+1/2) (y+1/2,5/8,-y+3/4) (y,7/8,y+1/4) (-y,3/8,-y+1/4) (-y+1/2,1/8,y+3/4) (-y+3/4,y+1/2,5/8) (y+1/4,y,7/8) (-y+1/4,-y,3/8) (y+3/4,-y+1/2,1/8)
96f2..
 (x,0,0) (-x,1/2,1/2) (0,x,0) (1/2,-x,1/2) (0,0,x) (1/2,1/2,-x) (3/4,x+1/4,3/4) (1/4,-x+1/4,1/4) (x+3/4,1/4,3/4) (-x+3/4,3/4,1/4) (3/4,1/4,-x+3/4) (1/4,3/4,x+3/4) (-x+3/4,3/4,3/4) (x+3/4,1/4,1/4) (3/4,-x+3/4,3/4) (1/4,x+3/4,1/4) (3/4,3/4,-x+3/4) (1/4,1/4,x+3/4) (0,-x+1/2,0) (1/2,x+1/2,1/2) (-x,1/2,0) (x,0,1/2) (0,1/2,x) (1/2,0,-x)
64e.3.
 (x,x,x) (-x,-x+1/2,x+1/2) (-x+1/2,x+1/2,-x) (x+1/2,-x,-x+1/2) (x+3/4,x+1/4,-x+3/4) (-x+1/4,-x+1/4,-x+1/4) (x+1/4,-x+3/4,x+3/4) (-x+3/4,x+3/4,x+1/4) (-x+3/4,-x+3/4,-x+3/4) (x+3/4,x+1/4,-x+1/4) (x+1/4,-x+1/4,x+3/4) (-x+1/4,x+3/4,x+1/4) (-x,-x+1/2,x) (x+1/2,x+1/2,x+1/2) (-x+1/2,x,-x) (x,-x,-x+1/2)
48d-4..
 (1/4,0,0) (3/4,1/2,1/2) (0,1/4,0) (1/2,3/4,1/2) (0,0,1/4) (1/2,1/2,3/4) (3/4,1/2,3/4) (1/4,0,1/4) (0,1/4,3/4) (1/2,3/4,1/4) (3/4,1/4,1/2) (1/4,3/4,0)
32c.-3.
 (3/8,3/8,3/8) (5/8,1/8,7/8) (1/8,7/8,5/8) (7/8,5/8,1/8) (1/8,5/8,3/8) (7/8,7/8,7/8) (5/8,3/8,1/8) (3/8,1/8,5/8)
32b.32
 (1/8,1/8,1/8) (7/8,3/8,5/8) (3/8,5/8,7/8) (5/8,7/8,3/8) (5/8,5/8,5/8) (7/8,3/8,1/8) (3/8,1/8,7/8) (1/8,7/8,3/8)
16a23.
 (0,0,0) (3/4,1/4,3/4) (3/4,3/4,3/4) (0,1/2,0)

### Wyckoff position and site symmetry group of a specific point

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