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Pmmm [#47.249] (Type: 1 -- Type I (Fedorov))

[OG: Pmmm #47.1.347]

Wyckoff Positions of Group 47.249 (Pmmm)

MultiplicityWyckoff
letter
Coordinates
4z
(x,y,1/2 | 0,0,mz) (x,-y,1/2 | 0,0,-mz) (-x,y,1/2 | 0,0,-mz)
(-x,-y,1/2 | 0,0,mz)
4y
(x,y,0 | 0,0,mz) (x,-y,0 | 0,0,-mz) (-x,y,0 | 0,0,-mz)
(-x,-y,0 | 0,0,mz)
4x
(x,1/2,z | 0,my,0) (x,1/2,-z | 0,-my,0) (-x,1/2,-z | 0,my,0)
(-x,1/2,z | 0,-my,0)
4w
(x,0,z | 0,my,0) (x,0,-z | 0,-my,0) (-x,0,-z | 0,my,0)
(-x,0,z | 0,-my,0)
4v
(1/2,y,z | mx,0,0) (1/2,-y,-z | mx,0,0) (1/2,y,-z | -mx,0,0)
(1/2,-y,z | -mx,0,0)
4u
(0,y,z | mx,0,0) (0,-y,-z | mx,0,0) (0,y,-z | -mx,0,0)
(0,-y,z | -mx,0,0)
2t
(1/2,1/2,z | 0,0,0) (1/2,1/2,-z | 0,0,0)
2s
(1/2,0,z | 0,0,0) (1/2,0,-z | 0,0,0)
2r
(0,1/2,z | 0,0,0) (0,1/2,-z | 0,0,0)
2q
(0,0,z | 0,0,0) (0,0,-z | 0,0,0)
2p
(1/2,y,1/2 | 0,0,0) (1/2,-y,1/2 | 0,0,0)
2o
(1/2,y,0 | 0,0,0) (1/2,-y,0 | 0,0,0)
2n
(0,y,1/2 | 0,0,0) (0,-y,1/2 | 0,0,0)
2m
(0,y,0 | 0,0,0) (0,-y,0 | 0,0,0)
2l
(x,1/2,1/2 | 0,0,0) (-x,1/2,1/2 | 0,0,0)
2k
(x,1/2,0 | 0,0,0) (-x,1/2,0 | 0,0,0)
2j
(x,0,1/2 | 0,0,0) (-x,0,1/2 | 0,0,0)
2i
(x,0,0 | 0,0,0) (-x,0,0 | 0,0,0)
1h
(1/2,1/2,1/2 | 0,0,0)
1g
(0,1/2,1/2 | 0,0,0)
1f
(1/2,1/2,0 | 0,0,0)
1e
(0,1/2,0 | 0,0,0)
1d
(1/2,0,1/2 | 0,0,0)
1c
(0,0,1/2 | 0,0,0)
1b
(1/2,0,0 | 0,0,0)
8alpha
(x,y,z | mx,my,mz) (x,-y,-z | mx,-my,-mz) (-x,y,-z | -mx,my,-mz)
(-x,-y,z | -mx,-my,mz) (-x,-y,-z | mx,my,mz) (-x,y,z | mx,-my,-mz)
(x,-y,z | -mx,my,-mz) (x,y,-z | -mx,-my,mz)
1a
(0,0,0 | 0,0,0)

Site Symmetries of the Wyckoff Positions

WPRepresentativePG
1a(0,0,0 | 0,0,0)mmm
1b(1/2,0,0 | 0,0,0)mmm
1c(0,0,1/2 | 0,0,0)mmm
1d(1/2,0,1/2 | 0,0,0)mmm
1e(0,1/2,0 | 0,0,0)mmm
1f(1/2,1/2,0 | 0,0,0)mmm
1g(0,1/2,1/2 | 0,0,0)mmm
1h(1/2,1/2,1/2 | 0,0,0)mmm
2i(x,0,0 | 0,0,0)mm2
2j(x,0,1/2 | 0,0,0)mm2
2k(x,1/2,0 | 0,0,0)mm2
2l(x,1/2,1/2 | 0,0,0)mm2
2m(0,y,0 | 0,0,0)mm2
2n(0,y,1/2 | 0,0,0)mm2
2o(1/2,y,0 | 0,0,0)mm2
2p(1/2,y,1/2 | 0,0,0)mm2
2q(0,0,z | 0,0,0)mm2
2r(0,1/2,z | 0,0,0)mm2
2s(1/2,0,z | 0,0,0)mm2
2t(1/2,1/2,z | 0,0,0)mm2
4u(0,y,z | mx,0,0)m
4v(1/2,y,z | mx,0,0)m
4w(x,0,z | 0,my,0)m
4x(x,1/2,z | 0,my,0)m
4y(x,y,0 | 0,0,mz)m
4z(x,y,1/2 | 0,0,mz)m
8alpha(x,y,z | mx,my,mz)1

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