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I422 [#97.151] (Type: 1 -- Type I (Fedorov))

[OG: I422 #97.1.805]

Wyckoff Positions of Group 97.151 (I422)

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

Site Symmetries of the Wyckoff Positions

WPRepresentativePG
2a(0,0,0 | 0,0,0)422
2b(0,0,1/2 | 0,0,0)422
4c(0,1/2,0 | 0,0,0)222
4d(0,1/2,1/4 | 0,0,0)222
4e(0,0,z | 0,0,mz)4
8f(0,1/2,z | 0,0,mz)2
8g(x,x,0 | mx,mx,0)2
8h(x,0,0 | mx,0,0)2
8i(x,0,1/2 | mx,0,0)2
8j(x,x+1/2,1/4 | mx,mx,0)2
16k(x,y,z | mx,my,mz)1

List all the elements of the orbits


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