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Fd'-3'c' [#228.138] (Type: 3 -- Type III (translationgleiche))

[OG: Fd'-3'c' #228.5.1637]

Wyckoff Positions of Group 228.138 (Fd'-3'c')

Multiplicity Wyckoff
letter
Coordinates
(0,0,0) +(0,1/2,1/2) +(1/2,0,1/2) +(1/2,1/2,0) + 
192h
(x,y,z | mx,my,mz) (x+1/4,-z+1/2,y+1/4 | mx,-mz,my) (x+1/4,z+1/4,-y+1/2 | mx,mz,-my)
(z+1/4,y+1/4,-x+1/2 | mz,my,-mx) (-z+1/2,y+1/4,x+1/4 | -mz,my,mx) (-y+1/2,x+1/4,z+1/4 | -my,mx,mz)
(y+1/4,-x+1/2,z+1/4 | my,-mx,mz) (x,-y+1/4,-z+1/4 | mx,-my,-mz) (-x+1/4,y,-z+1/4 | -mx,my,-mz)
(-x+1/4,-y+1/4,z | -mx,-my,mz) (y+1/4,x+1/4,-z+1/2 | my,mx,-mz) (-y+1/2,-x+1/2,-z+1/2 | -my,-mx,-mz)
(-x+1/2,z+1/4,y+1/4 | -mx,mz,my) (-x+1/2,-z+1/2,-y+1/2 | -mx,-mz,-my) (z+1/4,-y+1/2,x+1/4 | mz,-my,mx)
(-z+1/2,-y+1/2,-x+1/2 | -mz,-my,-mx) (z,x,y | mz,mx,my) (y,z,x | my,mz,mx)
(-y+1/4,z,-x+1/4 | -my,mz,-mx) (-z+1/4,-x+1/4,y | -mz,-mx,my) (-y+1/4,-z+1/4,x | -my,-mz,mx)
(z,-x+1/4,-y+1/4 | mz,-mx,-my) (y,-z+1/4,-x+1/4 | my,-mz,-mx) (-z+1/4,x,-y+1/4 | -mz,mx,-my)
(-x,-y,-z | -mx,-my,-mz) (-x+1/4,z+1/2,-y+1/4 | -mx,mz,-my) (-x+1/4,-z+1/4,y+1/2 | -mx,-mz,my)
(-z+1/4,-y+1/4,x+1/2 | -mz,-my,mx) (z+1/2,-y+1/4,-x+1/4 | mz,-my,-mx) (y+1/2,-x+1/4,-z+1/4 | my,-mx,-mz)
(-y+1/4,x+1/2,-z+1/4 | -my,mx,-mz) (-x,y+1/4,z+1/4 | -mx,my,mz) (x+1/4,-y,z+1/4 | mx,-my,mz)
(x+1/4,y+1/4,-z | mx,my,-mz) (-y+1/4,-x+1/4,z+1/2 | -my,-mx,mz) (y+1/2,x+1/2,z+1/2 | my,mx,mz)
(x+1/2,-z+1/4,-y+1/4 | mx,-mz,-my) (x+1/2,z+1/2,y+1/2 | mx,mz,my) (-z+1/4,y+1/2,-x+1/4 | -mz,my,-mx)
(z+1/2,y+1/2,x+1/2 | mz,my,mx) (-z,-x,-y | -mz,-mx,-my) (-y,-z,-x | -my,-mz,-mx)
(y+1/4,-z,x+1/4 | my,-mz,mx) (z+1/4,x+1/4,-y | mz,mx,-my) (y+1/4,z+1/4,-x | my,mz,-mx)
(-z,x+1/4,y+1/4 | -mz,mx,my) (-y,z+1/4,x+1/4 | -my,mz,mx) (z+1/4,-x,y+1/4 | mz,-mx,my)
96g
(1/4,y,-y | 0,my,-my) (0,y,y+1/4 | 0,my,my) (0,-y+1/4,-y | 0,-my,-my)
(-y+1/4,y+1/4,1/4 | -my,my,0) (y,y+1/4,0 | my,my,0) (-y,0,-y+1/4 | -my,0,-my)
(y+1/4,1/4,-y+1/4 | my,0,-my) (1/4,-y+1/4,y+1/4 | 0,-my,my) (y+1/4,0,y | my,0,my)
(-y,1/4,y | -my,0,my) (-y+1/4,-y,0 | -my,-my,0) (y,-y,1/4 | my,-my,0)
(3/4,-y,y | 0,-my,my) (1/2,-y,-y+1/4 | 0,-my,-my) (1/2,y+1/4,y | 0,my,my)
(y+1/4,-y+1/4,3/4 | my,-my,0) (-y,-y+1/4,1/2 | -my,-my,0) (y,1/2,y+1/4 | my,0,my)
(-y+1/4,3/4,y+1/4 | -my,0,my) (3/4,y+1/4,-y+1/4 | 0,my,-my) (-y+1/4,1/2,-y | -my,0,-my)
(y,3/4,-y | my,0,-my) (y+1/4,y,1/2 | my,my,0) (-y,y,3/4 | -my,my,0)
96f
(x,1/8,1/8 | mx,0,0) (x+1/4,3/8,3/8 | mx,0,0) (3/8,3/8,-x+1/2 | 0,0,-mx)
(3/8,3/8,x+1/4 | 0,0,mx) (3/8,x+1/4,3/8 | 0,mx,0) (3/8,-x+1/2,3/8 | 0,-mx,0)
(-x+1/4,1/8,1/8 | -mx,0,0) (-x+1/2,3/8,3/8 | -mx,0,0) (1/8,x,1/8 | 0,mx,0)
(1/8,1/8,x | 0,0,mx) (1/8,1/8,-x+1/4 | 0,0,-mx) (1/8,-x+1/4,1/8 | 0,-mx,0)
(-x,7/8,7/8 | -mx,0,0) (-x+1/4,5/8,1/8 | -mx,0,0) (5/8,5/8,x+1/2 | 0,0,mx)
(5/8,1/8,-x+1/4 | 0,0,-mx) (5/8,-x+1/4,1/8 | 0,-mx,0) (5/8,x+1/2,5/8 | 0,mx,0)
(x+1/4,7/8,3/8 | mx,0,0) (x+1/2,5/8,5/8 | mx,0,0) (7/8,-x,7/8 | 0,-mx,0)
(7/8,7/8,-x | 0,0,-mx) (7/8,3/8,x+1/4 | 0,0,mx) (7/8,x+1/4,3/8 | 0,mx,0)
64e
(x,x,x | mx,mx,mx) (x+1/4,-x+1/2,x+1/4 | mx,-mx,mx) (x+1/4,x+1/4,-x+1/2 | mx,mx,-mx)
(-x+1/2,x+1/4,x+1/4 | -mx,mx,mx) (x,-x+1/4,-x+1/4 | mx,-mx,-mx) (-x+1/4,x,-x+1/4 | -mx,mx,-mx)
(-x+1/4,-x+1/4,x | -mx,-mx,mx) (-x+1/2,-x+1/2,-x+1/2 | -mx,-mx,-mx) (-x,-x,-x | -mx,-mx,-mx)
(-x+1/4,x+1/2,-x+1/4 | -mx,mx,-mx) (-x+1/4,-x+1/4,x+1/2 | -mx,-mx,mx) (x+1/2,-x+1/4,-x+1/4 | mx,-mx,-mx)
(-x,x+1/4,x+1/4 | -mx,mx,mx) (x+1/4,-x,x+1/4 | mx,-mx,mx) (x+1/4,x+1/4,-x | mx,mx,-mx)
(x+1/2,x+1/2,x+1/2 | mx,mx,mx)
48d
(7/8,1/8,1/8 | 0,0,0) (1/8,3/8,3/8 | 0,0,0) (3/8,3/8,5/8 | 0,0,0)
(3/8,3/8,1/8 | 0,0,0) (3/8,1/8,3/8 | 0,0,0) (3/8,5/8,3/8 | 0,0,0)
(3/8,1/8,1/8 | 0,0,0) (5/8,3/8,3/8 | 0,0,0) (1/8,7/8,1/8 | 0,0,0)
(1/8,1/8,7/8 | 0,0,0) (1/8,1/8,3/8 | 0,0,0) (1/8,3/8,1/8 | 0,0,0)
32c
(0,0,0 | 0,0,0) (1/4,1/2,1/4 | 0,0,0) (1/4,1/4,1/2 | 0,0,0)
(1/2,1/4,1/4 | 0,0,0) (0,1/4,1/4 | 0,0,0) (1/4,0,1/4 | 0,0,0)
(1/4,1/4,0 | 0,0,0) (1/2,1/2,1/2 | 0,0,0)
32b
(1/4,1/4,1/4 | 0,0,0) (0,1/4,0 | 0,0,0) (0,0,1/4 | 0,0,0)
(1/4,0,0 | 0,0,0) (3/4,3/4,3/4 | 0,0,0) (1/2,3/4,1/2 | 0,0,0)
(1/2,1/2,3/4 | 0,0,0) (3/4,1/2,1/2 | 0,0,0)
16a
(1/8,1/8,1/8 | 0,0,0) (3/8,3/8,3/8 | 0,0,0) (7/8,7/8,7/8 | 0,0,0)
(5/8,5/8,5/8 | 0,0,0)

Site Symmetries of the Wyckoff Positions

WPRepresentativePG
16a(1/8,1/8,1/8 | 0,0,0)23
32b(1/4,1/4,1/4 | 0,0,0)32
32c(0,0,0 | 0,0,0)-3'
48d(7/8,1/8,1/8 | 0,0,0)-4'
64e(x,x,x | mx,mx,mx)3
96f(x,1/8,1/8 | mx,0,0)2
96g(1/4,y,-y | 0,my,-my)2
192h(x,y,z | mx,my,mz)1

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