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PI42/n [#86.74] (Type: 4 -- Type IV (klassengleiche))

[OG: IP4'/m' #87.9.741]

Wyckoff Positions of Group 86.74 (PI42/n)

MultiplicityWyckoff
letter
Coordinates
16i
(x,y,z | mx,my,mz) (-y,x+1/2,z+1/2 | -my,mx,mz) (y+1/2,-x,z+1/2 | my,-mx,mz)
(-x+1/2,-y+1/2,z | -mx,-my,mz) (-x,-y,-z | mx,my,mz) (y,-x+1/2,-z+1/2 | -my,mx,mz)
(-y+1/2,x,-z+1/2 | my,-mx,mz) (x+1/2,y+1/2,-z | -mx,-my,mz) (x+1/2,y+1/2,z+1/2 | -mx,-my,-mz)
(-y+1/2,x,z | my,-mx,-mz) (y,-x+1/2,z | -my,mx,-mz) (-x,-y,z+1/2 | mx,my,-mz)
(-x+1/2,-y+1/2,-z+1/2 | -mx,-my,-mz) (y+1/2,-x,-z | my,-mx,-mz) (-y,x+1/2,-z | -my,mx,-mz)
(x,y,-z+1/2 | mx,my,-mz)
8h
(x,y,3/4 | mx,my,0) (-y,x+1/2,1/4 | -my,mx,0) (y+1/2,-x,1/4 | my,-mx,0)
(-x+1/2,-y+1/2,3/4 | -mx,-my,0) (-x,-y,1/4 | mx,my,0) (y,-x+1/2,3/4 | -my,mx,0)
(-y+1/2,x,3/4 | my,-mx,0) (x+1/2,y+1/2,1/4 | -mx,-my,0)
8g
(3/4,1/4,z | 0,0,mz) (3/4,1/4,z+1/2 | 0,0,mz) (1/4,3/4,-z | 0,0,mz)
(1/4,3/4,-z+1/2 | 0,0,mz) (1/4,3/4,z+1/2 | 0,0,-mz) (1/4,3/4,z | 0,0,-mz)
(3/4,1/4,-z+1/2 | 0,0,-mz) (3/4,1/4,-z | 0,0,-mz)
8f
(0,0,0 | mx,my,mz) (0,1/2,1/2 | -my,mx,mz) (1/2,0,1/2 | my,-mx,mz)
(1/2,1/2,0 | -mx,-my,mz) (1/2,1/2,1/2 | -mx,-my,-mz) (1/2,0,0 | my,-mx,-mz)
(0,1/2,0 | -my,mx,-mz) (0,0,1/2 | mx,my,-mz)
4e
(3/4,3/4,z | 0,0,0) (1/4,1/4,z+1/2 | 0,0,0) (1/4,1/4,-z | 0,0,0)
(3/4,3/4,-z+1/2 | 0,0,0)
4d
(3/4,1/4,0 | 0,0,0) (3/4,1/4,1/2 | 0,0,0) (1/4,3/4,0 | 0,0,0)
(1/4,3/4,1/2 | 0,0,0)
4c
(3/4,1/4,3/4 | 0,0,0) (3/4,1/4,1/4 | 0,0,0) (1/4,3/4,1/4 | 0,0,0)
(1/4,3/4,3/4 | 0,0,0)
2b
(3/4,3/4,1/4 | 0,0,0) (1/4,1/4,3/4 | 0,0,0)
2a
(3/4,3/4,3/4 | 0,0,0) (1/4,1/4,1/4 | 0,0,0)

Site Symmetries of the Wyckoff Positions

WPRepresentativePG
2a(3/4,3/4,3/4 | 0,0,0)4'/m'
2b(3/4,3/4,1/4 | 0,0,0)4'/m'
4c(3/4,1/4,3/4 | 0,0,0)2/m'
4d(3/4,1/4,0 | 0,0,0)-4'
4e(3/4,3/4,z | 0,0,0)4'
8f(0,0,0 | mx,my,mz)-1
8g(3/4,1/4,z | 0,0,mz)2
8h(x,y,3/4 | mx,my,0)1
16i(x,y,z | mx,my,mz)1

List all the elements of the orbits


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