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Wyckoff Positions of Group 227 (Fd-3m) [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) +
192i1
(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+1/4,-y+1/4,-z+1/4) (x+1/4,y+3/4,-z+3/4) (x+3/4,-y+3/4,z+1/4) (-x+3/4,y+1/4,z+3/4)
(-z+1/4,-x+1/4,-y+1/4) (-z+3/4,x+1/4,y+3/4) (z+1/4,x+3/4,-y+3/4) (z+3/4,-x+3/4,y+1/4)
(-y+1/4,-z+1/4,-x+1/4) (y+3/4,-z+3/4,x+1/4) (-y+3/4,z+1/4,x+3/4) (y+1/4,z+3/4,-x+3/4)
(-y+1/2,-x,z+1/2) (y,x,z) (-y,x+1/2,-z+1/2) (y+1/2,-x+1/2,-z)
(-x+1/2,-z,y+1/2) (x+1/2,-z+1/2,-y) (x,z,y) (-x,z+1/2,-y+1/2)
(-z+1/2,-y,x+1/2) (-z,y+1/2,-x+1/2) (z+1/2,-y+1/2,-x) (z,y,x)
96h..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)
(1/8,-y+1/4,y) (3/8,y+3/4,y+1/2) (7/8,-y+3/4,-y+1/2) (5/8,y+1/4,-y)
(y,1/8,-y+1/4) (y+1/2,3/8,y+3/4) (-y+1/2,7/8,-y+3/4) (-y,5/8,y+1/4)
(-y+1/4,y,1/8) (y+3/4,y+1/2,3/8) (-y+3/4,-y+1/2,7/8) (y+1/4,-y,5/8)
96g..m
(x,x,z) (-x,-x+1/2,z+1/2) (-x+1/2,x+1/2,-z) (x+1/2,-x,-z+1/2)
(z,x,x) (z+1/2,-x,-x+1/2) (-z,-x+1/2,x+1/2) (-z+1/2,x+1/2,-x)
(x,z,x) (-x+1/2,z+1/2,-x) (x+1/2,-z,-x+1/2) (-x,-z+1/2,x+1/2)
(x+3/4,x+1/4,-z+3/4) (-x+1/4,-x+1/4,-z+1/4) (x+1/4,-x+3/4,z+3/4) (-x+3/4,x+3/4,z+1/4)
(x+3/4,z+1/4,-x+3/4) (-x+3/4,z+3/4,x+1/4) (-x+1/4,-z+1/4,-x+1/4) (x+1/4,-z+3/4,x+3/4)
(z+3/4,x+1/4,-x+3/4) (z+1/4,-x+3/4,x+3/4) (-z+3/4,x+3/4,x+1/4) (-z+1/4,-x+1/4,-x+1/4)
48f2.m m
(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)
32e.3m
(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)
16d.-3m
(5/8,5/8,5/8) (3/8,7/8,1/8) (7/8,1/8,3/8) (1/8,3/8,7/8)
16c.-3m
(1/8,1/8,1/8) (7/8,3/8,5/8) (3/8,5/8,7/8) (5/8,7/8,3/8)
8b-43m
(1/2,1/2,1/2) (1/4,3/4,1/4)
8a-43m
(0,0,0) (3/4,1/4,3/4)

Wyckoff position and site symmetry group of a specific point

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