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P4/mmm1' [#123.340] (Type: 2 -- Type II (grey group))

[OG: P4/mmm1' #123.2.1000]

Wyckoff Positions of Group 123.340 (P4/mmm1')

MultiplicityWyckoff
letter		Coordinates
16u
(x,y,z | 0,0,0) (-y,x,z | 0,0,0) (y,-x,z | 0,0,0)
(x,-y,-z | 0,0,0) (-x,y,-z | 0,0,0) (-x,-y,z | 0,0,0)
(y,x,-z | 0,0,0) (-y,-x,-z | 0,0,0) (-x,-y,-z | 0,0,0)
(y,-x,-z | 0,0,0) (-y,x,-z | 0,0,0) (-x,y,z | 0,0,0)
(x,-y,z | 0,0,0) (x,y,-z | 0,0,0) (-y,-x,z | 0,0,0)
(y,x,z | 0,0,0)
8t
(x,1/2,z | 0,0,0) (1/2,x,z | 0,0,0) (1/2,-x,z | 0,0,0)
(x,1/2,-z | 0,0,0) (-x,1/2,-z | 0,0,0) (-x,1/2,z | 0,0,0)
(1/2,x,-z | 0,0,0) (1/2,-x,-z | 0,0,0)
8s
(x,0,z | 0,0,0) (0,x,z | 0,0,0) (0,-x,z | 0,0,0)
(x,0,-z | 0,0,0) (-x,0,-z | 0,0,0) (-x,0,z | 0,0,0)
(0,x,-z | 0,0,0) (0,-x,-z | 0,0,0)
8r
(x,x,z | 0,0,0) (-x,x,z | 0,0,0) (x,-x,z | 0,0,0)
(x,-x,-z | 0,0,0) (-x,x,-z | 0,0,0) (-x,-x,z | 0,0,0)
(x,x,-z | 0,0,0) (-x,-x,-z | 0,0,0)
8q
(x,y,1/2 | 0,0,0) (-y,x,1/2 | 0,0,0) (y,-x,1/2 | 0,0,0)
(x,-y,1/2 | 0,0,0) (-x,y,1/2 | 0,0,0) (-x,-y,1/2 | 0,0,0)
(y,x,1/2 | 0,0,0) (-y,-x,1/2 | 0,0,0)
8p
(x,y,0 | 0,0,0) (-y,x,0 | 0,0,0) (y,-x,0 | 0,0,0)
(x,-y,0 | 0,0,0) (-x,y,0 | 0,0,0) (-x,-y,0 | 0,0,0)
(y,x,0 | 0,0,0) (-y,-x,0 | 0,0,0)
4o
(x,1/2,1/2 | 0,0,0) (1/2,x,1/2 | 0,0,0) (1/2,-x,1/2 | 0,0,0)
(-x,1/2,1/2 | 0,0,0)
4n
(x,1/2,0 | 0,0,0) (1/2,x,0 | 0,0,0) (1/2,-x,0 | 0,0,0)
(-x,1/2,0 | 0,0,0)
4m
(x,0,1/2 | 0,0,0) (0,x,1/2 | 0,0,0) (0,-x,1/2 | 0,0,0)
(-x,0,1/2 | 0,0,0)
4l
(x,0,0 | 0,0,0) (0,x,0 | 0,0,0) (0,-x,0 | 0,0,0)
(-x,0,0 | 0,0,0)
4k
(x,x,1/2 | 0,0,0) (-x,x,1/2 | 0,0,0) (x,-x,1/2 | 0,0,0)
(-x,-x,1/2 | 0,0,0)
4j
(x,x,0 | 0,0,0) (-x,x,0 | 0,0,0) (x,-x,0 | 0,0,0)
(-x,-x,0 | 0,0,0)
4i
(0,1/2,z | 0,0,0) (1/2,0,z | 0,0,0) (0,1/2,-z | 0,0,0)
(1/2,0,-z | 0,0,0)
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
(0,1/2,0 | 0,0,0) (1/2,0,0 | 0,0,0)
2e
(0,1/2,1/2 | 0,0,0) (1/2,0,1/2 | 0,0,0)
1d
(1/2,1/2,1/2 | 0,0,0)
1c
(1/2,1/2,0 | 0,0,0)
1b
(0,0,1/2 | 0,0,0)
1a
(0,0,0 | 0,0,0)

Site Symmetries of the Wyckoff Positions

WPRepresentativePG
1a(0,0,0 | 0,0,0)4/mmm1'
1b(0,0,1/2 | 0,0,0)4/mmm1'
1c(1/2,1/2,0 | 0,0,0)4/mmm1'
1d(1/2,1/2,1/2 | 0,0,0)4/mmm1'
2e(0,1/2,1/2 | 0,0,0)mmm1'
2f(0,1/2,0 | 0,0,0)mmm1'
2g(0,0,z | 0,0,0)4mm1'
2h(1/2,1/2,z | 0,0,0)4mm1'
4i(0,1/2,z | 0,0,0)mm21'
4j(x,x,0 | 0,0,0)mm21'
4k(x,x,1/2 | 0,0,0)mm21'
4l(x,0,0 | 0,0,0)mm21'
4m(x,0,1/2 | 0,0,0)mm21'
4n(x,1/2,0 | 0,0,0)mm21'
4o(x,1/2,1/2 | 0,0,0)mm21'
8p(x,y,0 | 0,0,0)m1'
8q(x,y,1/2 | 0,0,0)m1'
8r(x,x,z | 0,0,0)m1'
8s(x,0,z | 0,0,0)m1'
8t(x,1/2,z | 0,0,0)m1'
16u(x,y,z | 0,0,0)11'

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