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P-6m21' [#187.210] (Type: 2 -- Type II (grey group))

[OG: P-6m21' #187.2.1440]

Wyckoff Positions of Group 187.210 (P-6m21')

MultiplicityWyckoff
letter
Coordinates
12o
(x,y,z | 0,0,0) (-y,x-y,z | 0,0,0) (-x+y,-x,z | 0,0,0)
(x,x-y,-z | 0,0,0) (-x+y,y,-z | 0,0,0) (-y,-x,-z | 0,0,0)
(-x+y,-x,-z | 0,0,0) (x,y,-z | 0,0,0) (-y,x-y,-z | 0,0,0)
(-x+y,y,z | 0,0,0) (-y,-x,z | 0,0,0) (x,x-y,z | 0,0,0)
6n
(x,-x,z | 0,0,0) (x,2x,z | 0,0,0) (-2x,-x,z | 0,0,0)
(x,2x,-z | 0,0,0) (-2x,-x,-z | 0,0,0) (x,-x,-z | 0,0,0)
6m
(x,y,1/2 | 0,0,0) (-y,x-y,1/2 | 0,0,0) (-x+y,-x,1/2 | 0,0,0)
(x,x-y,1/2 | 0,0,0) (-x+y,y,1/2 | 0,0,0) (-y,-x,1/2 | 0,0,0)
6l
(x,y,0 | 0,0,0) (-y,x-y,0 | 0,0,0) (-x+y,-x,0 | 0,0,0)
(x,x-y,0 | 0,0,0) (-x+y,y,0 | 0,0,0) (-y,-x,0 | 0,0,0)
3k
(x,-x,1/2 | 0,0,0) (x,2x,1/2 | 0,0,0) (-2x,-x,1/2 | 0,0,0)
3j
(x,-x,0 | 0,0,0) (x,2x,0 | 0,0,0) (-2x,-x,0 | 0,0,0)
2i
(2/3,1/3,z | 0,0,0) (2/3,1/3,-z | 0,0,0)
2h
(1/3,2/3,z | 0,0,0) (1/3,2/3,-z | 0,0,0)
2g
(0,0,z | 0,0,0) (0,0,-z | 0,0,0)
1f
(2/3,1/3,1/2 | 0,0,0)
1e
(2/3,1/3,0 | 0,0,0)
1d
(1/3,2/3,1/2 | 0,0,0)
1c
(1/3,2/3,0 | 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)-62m1'
1b(0,0,1/2 | 0,0,0)-62m1'
1c(1/3,2/3,0 | 0,0,0)mm21'
1d(1/3,2/3,1/2 | 0,0,0)mm21'
1e(2/3,1/3,0 | 0,0,0)mm21'
1f(2/3,1/3,1/2 | 0,0,0)mm21'
2g(0,0,z | 0,0,0)3m1'
2h(1/3,2/3,z | 0,0,0)m1'
2i(2/3,1/3,z | 0,0,0)m1'
3j(x,-x,0 | 0,0,0)mm21'
3k(x,-x,1/2 | 0,0,0)mm21'
6l(x,y,0 | 0,0,0)m1'
6m(x,y,1/2 | 0,0,0)m1'
6n(x,-x,z | 0,0,0)m1'
12o(x,y,z | 0,0,0)11'

List all the elements of the orbits


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