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Wyckoff Positions of Group 226 (Fm-3c)

Multiplicity Wyckoff
letter
Site
symmetry
Coordinates
(0,0,0) + (0,1/2,1/2) + (1/2,0,1/2) + (1/2,1/2,0) +
192j1
(x,y,z) (-x,-y,z) (-x,y,-z) (x,-y,-z)
(z,x,y) (z,-x,-y) (-z,-x,y) (-z,x,-y)
(y,z,x) (-y,z,-x) (y,-z,-x) (-y,-z,x)
(y+1/2,x+1/2,-z+1/2) (-y+1/2,-x+1/2,-z+1/2) (y+1/2,-x+1/2,z+1/2) (-y+1/2,x+1/2,z+1/2)
(x+1/2,z+1/2,-y+1/2) (-x+1/2,z+1/2,y+1/2) (-x+1/2,-z+1/2,-y+1/2) (x+1/2,-z+1/2,y+1/2)
(z+1/2,y+1/2,-x+1/2) (z+1/2,-y+1/2,x+1/2) (-z+1/2,y+1/2,x+1/2) (-z+1/2,-y+1/2,-x+1/2)
(-x,-y,-z) (x,y,-z) (x,-y,z) (-x,y,z)
(-z,-x,-y) (-z,x,y) (z,x,-y) (z,-x,y)
(-y,-z,-x) (y,-z,x) (-y,z,x) (y,z,-x)
(-y+1/2,-x+1/2,z+1/2) (y+1/2,x+1/2,z+1/2) (-y+1/2,x+1/2,-z+1/2) (y+1/2,-x+1/2,-z+1/2)
(-x+1/2,-z+1/2,y+1/2) (x+1/2,-z+1/2,-y+1/2) (x+1/2,z+1/2,y+1/2) (-x+1/2,z+1/2,-y+1/2)
(-z+1/2,-y+1/2,x+1/2) (-z+1/2,y+1/2,-x+1/2) (z+1/2,-y+1/2,-x+1/2) (z+1/2,y+1/2,x+1/2)
96im..
(0,y,z) (0,-y,z) (0,y,-z) (0,-y,-z)
(z,0,y) (z,0,-y) (-z,0,y) (-z,0,-y)
(y,z,0) (-y,z,0) (y,-z,0) (-y,-z,0)
(y+1/2,1/2,-z+1/2) (-y+1/2,1/2,-z+1/2) (y+1/2,1/2,z+1/2) (-y+1/2,1/2,z+1/2)
(1/2,z+1/2,-y+1/2) (1/2,z+1/2,y+1/2) (1/2,-z+1/2,-y+1/2) (1/2,-z+1/2,y+1/2)
(z+1/2,y+1/2,1/2) (z+1/2,-y+1/2,1/2) (-z+1/2,y+1/2,1/2) (-z+1/2,-y+1/2,1/2)
96h..2
(1/4,y,y) (3/4,-y,y) (3/4,y,-y) (1/4,-y,-y)
(y,1/4,y) (y,3/4,-y) (-y,3/4,y) (-y,1/4,-y)
(y,y,1/4) (-y,y,3/4) (y,-y,3/4) (-y,-y,1/4)
(3/4,-y,-y) (1/4,y,-y) (1/4,-y,y) (3/4,y,y)
(-y,3/4,-y) (-y,1/4,y) (y,1/4,-y) (y,3/4,y)
(-y,-y,3/4) (y,-y,1/4) (-y,y,1/4) (y,y,3/4)
64g.3.
(x,x,x) (-x,-x,x) (-x,x,-x) (x,-x,-x)
(x+1/2,x+1/2,-x+1/2) (-x+1/2,-x+1/2,-x+1/2) (x+1/2,-x+1/2,x+1/2) (-x+1/2,x+1/2,x+1/2)
(-x,-x,-x) (x,x,-x) (x,-x,x) (-x,x,x)
(-x+1/2,-x+1/2,x+1/2) (x+1/2,x+1/2,x+1/2) (-x+1/2,x+1/2,-x+1/2) (x+1/2,-x+1/2,-x+1/2)
48f4..
(x,1/4,1/4) (-x,3/4,1/4) (1/4,x,1/4) (1/4,-x,3/4)
(1/4,1/4,x) (3/4,1/4,-x) (-x,3/4,3/4) (x,1/4,3/4)
(3/4,-x,3/4) (3/4,x,1/4) (3/4,3/4,-x) (1/4,3/4,x)
48emm2 . .
(x,0,0) (-x,0,0) (0,x,0) (0,-x,0)
(0,0,x) (0,0,-x) (1/2,x+1/2,1/2) (1/2,-x+1/2,1/2)
(x+1/2,1/2,1/2) (-x+1/2,1/2,1/2) (1/2,1/2,-x+1/2) (1/2,1/2,x+1/2)
24d4/m..
(0,1/4,1/4) (0,3/4,1/4) (1/4,0,1/4) (1/4,0,3/4)
(1/4,1/4,0) (3/4,1/4,0)
24c-4m. 2
(1/4,0,0) (3/4,0,0) (0,1/4,0) (0,3/4,0)
(0,0,1/4) (0,0,3/4)
8bm-3.
(0,0,0) (1/2,1/2,1/2)
8a432
(1/4,1/4,1/4) (3/4,3/4,3/4)

Wyckoff position and site symmetry group of a specific point

Specify the point by its relative coordinates (in fractions or decimals)
Variable parameters (x,y,z) are also accepted
x =      y =      z =


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