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## Wyckoff Positions of Group Ia-3d (No. 230)

Multiplicity Wyckoff
letter
Site
symmetry
Coordinates
(0,0,0) + (1/2,1/2,1/2) +
96h1
 (x,y,z) (-x+1/2,-y,z+1/2) (-x,y+1/2,-z+1/2) (x+1/2,-y+1/2,-z) (z,x,y) (z+1/2,-x+1/2,-y) (-z+1/2,-x,y+1/2) (-z,x+1/2,-y+1/2) (y,z,x) (-y,z+1/2,-x+1/2) (y+1/2,-z+1/2,-x) (-y+1/2,-z,x+1/2) (y+3/4,x+1/4,-z+1/4) (-y+3/4,-x+3/4,-z+3/4) (y+1/4,-x+1/4,z+3/4) (-y+1/4,x+3/4,z+1/4) (x+3/4,z+1/4,-y+1/4) (-x+1/4,z+3/4,y+1/4) (-x+3/4,-z+3/4,-y+3/4) (x+1/4,-z+1/4,y+3/4) (z+3/4,y+1/4,-x+1/4) (z+1/4,-y+1/4,x+3/4) (-z+1/4,y+3/4,x+1/4) (-z+3/4,-y+3/4,-x+3/4) (-x,-y,-z) (x+1/2,y,-z+1/2) (x,-y+1/2,z+1/2) (-x+1/2,y+1/2,z) (-z,-x,-y) (-z+1/2,x+1/2,y) (z+1/2,x,-y+1/2) (z,-x+1/2,y+1/2) (-y,-z,-x) (y,-z+1/2,x+1/2) (-y+1/2,z+1/2,x) (y+1/2,z,-x+1/2) (-y+1/4,-x+3/4,z+3/4) (y+1/4,x+1/4,z+1/4) (-y+3/4,x+3/4,-z+1/4) (y+3/4,-x+1/4,-z+3/4) (-x+1/4,-z+3/4,y+3/4) (x+3/4,-z+1/4,-y+3/4) (x+1/4,z+1/4,y+1/4) (-x+3/4,z+3/4,-y+1/4) (-z+1/4,-y+3/4,x+3/4) (-z+3/4,y+3/4,-x+1/4) (z+3/4,-y+1/4,-x+3/4) (z+1/4,y+1/4,x+1/4)
48g..2
 (1/8,y,-y+1/4) (3/8,-y,-y+3/4) (7/8,y+1/2,y+1/4) (5/8,-y+1/2,y+3/4) (-y+1/4,1/8,y) (-y+3/4,3/8,-y) (y+1/4,7/8,y+1/2) (y+3/4,5/8,-y+1/2) (y,-y+1/4,1/8) (-y,-y+3/4,3/8) (y+1/2,y+1/4,7/8) (-y+1/2,y+3/4,5/8) (7/8,-y,y+3/4) (5/8,y,y+1/4) (1/8,-y+1/2,-y+3/4) (3/8,y+1/2,-y+1/4) (y+3/4,7/8,-y) (y+1/4,5/8,y) (-y+3/4,1/8,-y+1/2) (-y+1/4,3/8,y+1/2) (-y,y+3/4,7/8) (y,y+1/4,5/8) (-y+1/2,-y+3/4,1/8) (y+1/2,-y+1/4,3/8)
48f2..
 (x,0,1/4) (-x+1/2,0,3/4) (1/4,x,0) (3/4,-x+1/2,0) (0,1/4,x) (0,3/4,-x+1/2) (3/4,x+1/4,0) (3/4,-x+3/4,1/2) (x+3/4,1/2,1/4) (-x+1/4,0,1/4) (0,1/4,-x+1/4) (1/2,1/4,x+3/4) (-x,0,3/4) (x+1/2,0,1/4) (3/4,-x,0) (1/4,x+1/2,0) (0,3/4,-x) (0,1/4,x+1/2) (1/4,-x+3/4,0) (1/4,x+1/4,1/2) (-x+1/4,1/2,3/4) (x+3/4,0,3/4) (0,3/4,x+3/4) (1/2,3/4,-x+1/4)
32e.3.
 (x,x,x) (-x+1/2,-x,x+1/2) (-x,x+1/2,-x+1/2) (x+1/2,-x+1/2,-x) (x+3/4,x+1/4,-x+1/4) (-x+3/4,-x+3/4,-x+3/4) (x+1/4,-x+1/4,x+3/4) (-x+1/4,x+3/4,x+1/4) (-x,-x,-x) (x+1/2,x,-x+1/2) (x,-x+1/2,x+1/2) (-x+1/2,x+1/2,x) (-x+1/4,-x+3/4,x+3/4) (x+1/4,x+1/4,x+1/4) (-x+3/4,x+3/4,-x+1/4) (x+3/4,-x+1/4,-x+3/4)
24d-4..
 (3/8,0,1/4) (1/8,0,3/4) (1/4,3/8,0) (3/4,1/8,0) (0,1/4,3/8) (0,3/4,1/8) (3/4,5/8,0) (3/4,3/8,1/2) (1/8,1/2,1/4) (7/8,0,1/4) (0,1/4,7/8) (1/2,1/4,1/8)
24c2.2 2
 (1/8,0,1/4) (3/8,0,3/4) (1/4,1/8,0) (3/4,3/8,0) (0,1/4,1/8) (0,3/4,3/8) (7/8,0,3/4) (5/8,0,1/4) (3/4,7/8,0) (1/4,5/8,0) (0,3/4,7/8) (0,1/4,5/8)
16b.32
 (1/8,1/8,1/8) (3/8,7/8,5/8) (7/8,5/8,3/8) (5/8,3/8,7/8) (7/8,7/8,7/8) (5/8,1/8,3/8) (1/8,3/8,5/8) (3/8,5/8,1/8)
16a.-3.
 (0,0,0) (1/2,0,1/2) (0,1/2,1/2) (1/2,1/2,0) (3/4,1/4,1/4) (3/4,3/4,3/4) (1/4,1/4,3/4) (1/4,3/4,1/4)

### 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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