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P-42m [#111.251] (Type: 1 -- Type I (Fedorov))

[OG: P-42m #111.1.911]

Wyckoff Positions of Group 111.251 (P-42m)

MultiplicityWyckoff
letter		Coordinates
8o
(x,y,z | mx,my,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)
(-y,-x,z | my,mx,-mz) (y,x,z | -my,-mx,-mz)
4n
(x,x,z | mx,-mx,0) (x,-x,-z | mx,mx,0) (-x,x,-z | -mx,-mx,0)
(-x,-x,z | -mx,mx,0)
4m
(0,1/2,z | 0,0,mz) (0,1/2,-z | 0,0,-mz) (1/2,0,-z | 0,0,mz)
(1/2,0,z | 0,0,-mz)
4l
(x,1/2,0 | mx,0,0) (-x,1/2,0 | -mx,0,0) (1/2,-x,0 | 0,mx,0)
(1/2,x,0 | 0,-mx,0)
4k
(x,0,1/2 | mx,0,0) (-x,0,1/2 | -mx,0,0) (0,-x,1/2 | 0,mx,0)
(0,x,1/2 | 0,-mx,0)
4j
(x,1/2,1/2 | mx,0,0) (-x,1/2,1/2 | -mx,0,0) (1/2,-x,1/2 | 0,mx,0)
(1/2,x,1/2 | 0,-mx,0)
4i
(x,0,0 | mx,0,0) (-x,0,0 | -mx,0,0) (0,-x,0 | 0,mx,0)
(0,x,0 | 0,-mx,0)
2h
(1/2,1/2,z | 0,0,0) (1/2,1/2,-z | 0,0,0)
2g
(0,0,z | 0,0,0) (0,0,-z | 0,0,0)
2f
(1/2,0,1/2 | 0,0,0) (0,1/2,1/2 | 0,0,0)
2e
(1/2,0,0 | 0,0,0) (0,1/2,0 | 0,0,0)
1d
(1/2,1/2,0 | 0,0,0)
1c
(0,0,1/2 | 0,0,0)
1b
(1/2,1/2,1/2 | 0,0,0)
1a
(0,0,0 | 0,0,0)

Site Symmetries of the Wyckoff Positions

WPRepresentativePG
1a(0,0,0 | 0,0,0)-42m
1b(1/2,1/2,1/2 | 0,0,0)-42m
1c(0,0,1/2 | 0,0,0)-42m
1d(1/2,1/2,0 | 0,0,0)-42m
2e(1/2,0,0 | 0,0,0)222
2f(1/2,0,1/2 | 0,0,0)222
2g(0,0,z | 0,0,0)mm2
2h(1/2,1/2,z | 0,0,0)mm2
4i(x,0,0 | mx,0,0)2
4j(x,1/2,1/2 | mx,0,0)2
4k(x,0,1/2 | mx,0,0)2
4l(x,1/2,0 | mx,0,0)2
4m(0,1/2,z | 0,0,mz)2
4n(x,x,z | mx,-mx,0)m
8o(x,y,z | mx,my,mz)1

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