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F-4'3c' [#219.87] (Type: 3 -- Type III (translationgleiche))

[OG: F-4'3c' #219.3.1590]

Wyckoff Positions of Group 219.87 (F-4'3c')

Multiplicity Wyckoff
letter
Coordinates
(0,0,0) +(0,1/2,1/2) +(1/2,0,1/2) +(1/2,1/2,0) + 
96h
(x,y,z | mx,my,mz) (x,-y,-z | mx,-my,-mz) (-x,y,-z | -mx,my,-mz)
(-x,-y,z | -mx,-my,mz) (z,x,y | mz,mx,my) (y,z,x | my,mz,mx)
(-y,z,-x | -my,mz,-mx) (-z,-x,y | -mz,-mx,my) (-y,-z,x | -my,-mz,mx)
(z,-x,-y | mz,-mx,-my) (y,-z,-x | my,-mz,-mx) (-z,x,-y | -mz,mx,-my)
(-x+1/2,z+1/2,-y+1/2 | -mx,mz,-my) (-x+1/2,-z+1/2,y+1/2 | -mx,-mz,my) (-z+1/2,-y+1/2,x+1/2 | -mz,-my,mx)
(z+1/2,-y+1/2,-x+1/2 | mz,-my,-mx) (y+1/2,-x+1/2,-z+1/2 | my,-mx,-mz) (-y+1/2,x+1/2,-z+1/2 | -my,mx,-mz)
(-y+1/2,-x+1/2,z+1/2 | -my,-mx,mz) (y+1/2,x+1/2,z+1/2 | my,mx,mz) (x+1/2,-z+1/2,-y+1/2 | mx,-mz,-my)
(x+1/2,z+1/2,y+1/2 | mx,mz,my) (-z+1/2,y+1/2,-x+1/2 | -mz,my,-mx) (z+1/2,y+1/2,x+1/2 | mz,my,mx)
48g
(x,1/4,1/4 | mx,0,0) (-x,1/4,3/4 | -mx,0,0) (1/4,x,1/4 | 0,mx,0)
(1/4,1/4,x | 0,0,mx) (1/4,3/4,-x | 0,0,-mx) (1/4,-x,3/4 | 0,-mx,0)
(-x+1/2,3/4,1/4 | -mx,0,0) (3/4,3/4,x+1/2 | 0,0,mx) (3/4,1/4,-x+1/2 | 0,0,-mx)
(3/4,-x+1/2,1/4 | 0,-mx,0) (3/4,x+1/2,3/4 | 0,mx,0) (x+1/2,3/4,3/4 | mx,0,0)
48f
(x,0,0 | mx,0,0) (-x,0,0 | -mx,0,0) (0,x,0 | 0,mx,0)
(0,0,x | 0,0,mx) (0,0,-x | 0,0,-mx) (0,-x,0 | 0,-mx,0)
(-x+1/2,1/2,1/2 | -mx,0,0) (1/2,1/2,x+1/2 | 0,0,mx) (1/2,1/2,-x+1/2 | 0,0,-mx)
(1/2,-x+1/2,1/2 | 0,-mx,0) (1/2,x+1/2,1/2 | 0,mx,0) (x+1/2,1/2,1/2 | mx,0,0)
32e
(x,x,x | mx,mx,mx) (x,-x,-x | mx,-mx,-mx) (-x,x,-x | -mx,mx,-mx)
(-x,-x,x | -mx,-mx,mx) (-x+1/2,x+1/2,-x+1/2 | -mx,mx,-mx) (-x+1/2,-x+1/2,x+1/2 | -mx,-mx,mx)
(x+1/2,-x+1/2,-x+1/2 | mx,-mx,-mx) (x+1/2,x+1/2,x+1/2 | mx,mx,mx)
24d
(1/4,0,0 | 0,0,0) (3/4,0,0 | 0,0,0) (0,1/4,0 | 0,0,0)
(0,0,1/4 | 0,0,0) (0,0,3/4 | 0,0,0) (0,3/4,0 | 0,0,0)
24c
(0,1/4,1/4 | 0,0,0) (0,1/4,3/4 | 0,0,0) (1/4,0,1/4 | 0,0,0)
(1/4,1/4,0 | 0,0,0) (1/4,3/4,0 | 0,0,0) (1/4,0,3/4 | 0,0,0)
8b
(1/4,1/4,1/4 | 0,0,0) (3/4,3/4,3/4 | 0,0,0)
8a
(0,0,0 | 0,0,0) (1/2,1/2,1/2 | 0,0,0)

Site Symmetries of the Wyckoff Positions

WPRepresentativePG
8a(0,0,0 | 0,0,0)23
8b(1/4,1/4,1/4 | 0,0,0)23
24c(0,1/4,1/4 | 0,0,0)-4'
24d(1/4,0,0 | 0,0,0)-4'
32e(x,x,x | mx,mx,mx)3
48f(x,0,0 | mx,0,0)2
48g(x,1/4,1/4 | mx,0,0)2
96h(x,y,z | mx,my,mz)1

List all the elements of the orbits


Go to the operators of (F-4'3c')
Go to the extinction rules of (F-4'3c')



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