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Wyckoff Positions of the Group P-42'm' (#111.255)
For this space group, BNS and OG settings coincide.
Its label in the OG setting is given as: P-42'm' (#111.5.915)

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,mz) (x,-x,-z | -mx,mx,mz)
(-x,x,-z | mx,-mx,mz) (-x,-x,z | -mx,-mx,mz)
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 | 0,my,mz) (-x,1/2,0 | 0,-my,mz)
(1/2,-x,0 | -my,0,mz) (1/2,x,0 | my,0,mz)
4k
(x,0,1/2 | 0,my,mz) (-x,0,1/2 | 0,-my,mz)
(0,-x,1/2 | -my,0,mz) (0,x,1/2 | my,0,mz)
4j
(x,1/2,1/2 | 0,my,mz) (-x,1/2,1/2 | 0,-my,mz)
(1/2,-x,1/2 | -my,0,mz) (1/2,x,1/2 | my,0,mz)
4i
(x,0,0 | 0,my,mz) (-x,0,0 | 0,-my,mz)
(0,-x,0 | -my,0,mz) (0,x,0 | my,0,mz)
2h
(1/2,1/2,z | 0,0,mz) (1/2,1/2,-z | 0,0,mz)
2g
(0,0,z | 0,0,mz) (0,0,-z | 0,0,mz)
2f
(1/2,0,1/2 | 0,0,mz) (0,1/2,1/2 | 0,0,mz)
2e
(1/2,0,0 | 0,0,mz) (0,1/2,0 | 0,0,mz)
1d
(1/2,1/2,0 | 0,0,mz)
1c
(0,0,1/2 | 0,0,mz)
1b
(1/2,1/2,1/2 | 0,0,mz)
1a
(0,0,0 | 0,0,mz)

Site Symmetries of the Wyckoff Positions

WPRepresentativeSite
symmetry
1a(0,0,0 | 0,0,mz)-42'm'
1b(1/2,1/2,1/2 | 0,0,mz)-42'm'
1c(0,0,1/2 | 0,0,mz)-42'm'
1d(1/2,1/2,0 | 0,0,mz)-42'm'
2e(1/2,0,0 | 0,0,mz)22'2'.
2f(1/2,0,1/2 | 0,0,mz)22'2'.
2g(0,0,z | 0,0,mz)2.m'm'
2h(1/2,1/2,z | 0,0,mz)2.m'm'
4i(x,0,0 | 0,my,mz).2'.
4j(x,1/2,1/2 | 0,my,mz).2'.
4k(x,0,1/2 | 0,my,mz).2'.
4l(x,1/2,0 | 0,my,mz).2'.
4m(0,1/2,z | 0,0,mz)2..
4n(x,x,z | mx,mx,mz)..m'
8o(x,y,z | mx,my,mz)1

List the original elements of the orbits
List all the elements of the orbits

Go to the list of the Symmetry Operators of the Group P-42'm' (#111.255)
Go to the Systematic absences for the Group P-42'm' (#111.255)

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