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Wyckoff Positions of the Group P4/m'b'm' (#127.395)
For this space group, BNS and OG settings coincide.
Its label in the OG setting is given as: P4/m'b'm' (#127.9.1061)

MultiplicityWyckoff
letter
Coordinates
16l
(x,y,z | mx,my,mz) (-y,x,z | -my,mx,mz)
(y,-x,z | my,-mx,mz) (x+1/2,-y+1/2,-z | mx,-my,-mz)
(-x+1/2,y+1/2,-z | -mx,my,-mz) (-x,-y,z | -mx,-my,mz)
(y+1/2,x+1/2,-z | my,mx,-mz) (-y+1/2,-x+1/2,-z | -my,-mx,-mz)
(-x,-y,-z | -mx,-my,-mz) (y,-x,-z | my,-mx,-mz)
(-y,x,-z | -my,mx,-mz) (-x+1/2,y+1/2,z | -mx,my,mz)
(x+1/2,-y+1/2,z | mx,-my,mz) (x,y,-z | mx,my,-mz)
(-y+1/2,-x+1/2,z | -my,-mx,mz) (y+1/2,x+1/2,z | my,mx,mz)
8k
(x,x+1/2,z | mx,mx,mz) (-x+1/2,x,z | -mx,mx,mz)
(x+1/2,-x,z | mx,-mx,mz) (x+1/2,-x,-z | mx,-mx,-mz)
(-x+1/2,x,-z | -mx,mx,-mz) (-x,-x+1/2,z | -mx,-mx,mz)
(x,x+1/2,-z | mx,mx,-mz) (-x,-x+1/2,-z | -mx,-mx,-mz)
8j
(x,y,1/2 | mx,my,0) (-y,x,1/2 | -my,mx,0)
(y,-x,1/2 | my,-mx,0) (x+1/2,-y+1/2,1/2 | mx,-my,0)
(-x+1/2,y+1/2,1/2 | -mx,my,0) (-x,-y,1/2 | -mx,-my,0)
(y+1/2,x+1/2,1/2 | my,mx,0) (-y+1/2,-x+1/2,1/2 | -my,-mx,0)
8i
(x,y,0 | mx,my,0) (-y,x,0 | -my,mx,0)
(y,-x,0 | my,-mx,0) (x+1/2,-y+1/2,0 | mx,-my,0)
(-x+1/2,y+1/2,0 | -mx,my,0) (-x,-y,0 | -mx,-my,0)
(y+1/2,x+1/2,0 | my,mx,0) (-y+1/2,-x+1/2,0 | -my,-mx,0)
4h
(x,x+1/2,1/2 | mx,mx,0) (-x+1/2,x,1/2 | -mx,mx,0)
(x+1/2,-x,1/2 | mx,-mx,0) (-x,-x+1/2,1/2 | -mx,-mx,0)
4g
(x,x+1/2,0 | mx,mx,0) (-x+1/2,x,0 | -mx,mx,0)
(x+1/2,-x,0 | mx,-mx,0) (-x,-x+1/2,0 | -mx,-mx,0)
4f
(0,1/2,z | 0,0,mz) (1/2,0,z | 0,0,mz)
(1/2,0,-z | 0,0,-mz) (0,1/2,-z | 0,0,-mz)
4e
(0,0,z | 0,0,mz) (1/2,1/2,-z | 0,0,-mz)
(0,0,-z | 0,0,-mz) (1/2,1/2,z | 0,0,mz)
2d
(0,1/2,0 | 0,0,0) (1/2,0,0 | 0,0,0)
2c
(0,1/2,1/2 | 0,0,0) (1/2,0,1/2 | 0,0,0)
2b
(0,0,1/2 | 0,0,0) (1/2,1/2,1/2 | 0,0,0)
2a
(0,0,0 | 0,0,0) (1/2,1/2,0 | 0,0,0)

Site Symmetries of the Wyckoff Positions

WPRepresentativeSite
symmetry
2a(0,0,0 | 0,0,0)4/m'..
2b(0,0,1/2 | 0,0,0)4/m'..
2c(0,1/2,1/2 | 0,0,0)m'.m'm'
2d(0,1/2,0 | 0,0,0)m'.m'm'
4e(0,0,z | 0,0,mz)4..
4f(0,1/2,z | 0,0,mz)2.m'm'
4g(x,x+1/2,0 | mx,mx,0)m'.2m'
4h(x,x+1/2,1/2 | mx,mx,0)m'.2m'
8i(x,y,0 | mx,my,0)m'..
8j(x,y,1/2 | mx,my,0)m'..
8k(x,x+1/2,z | mx,mx,mz)..m'
16l(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 P4/m'b'm' (#127.395)
Go to the Systematic absences for the Group P4/m'b'm' (#127.395)

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