Bilbao Crystallographic Server MWYCKPOS Wyckoff Positions of Magnetic Space Groups Help

## Wyckoff Positions of the Group P63'/m'm'c (#194.268) For this space group, BNS and OG settings coincide.Its label in the OG setting is given as: P63'/m'm'c (#194.6.1499)

MultiplicityWyckoff
letter
Coordinates
24l
 (x,y,z | mx,my,mz) (x-y,x,z+1/2 | -mx+my,-mx,-mz) (-y,x-y,z | -my,mx-my,mz) (-x,-y,z+1/2 | mx,my,-mz) (-x+y,-x,z | -mx+my,-mx,mz) (y,-x+y,z+1/2 | -my,mx-my,-mz) (x-y,-y,-z | -mx+my,my,mz) (y,x,-z | -my,-mx,mz) (-x,-x+y,-z | mx,mx-my,mz) (x,x-y,-z+1/2 | mx,mx-my,-mz) (-x+y,y,-z+1/2 | -mx+my,my,-mz) (-y,-x,-z+1/2 | -my,-mx,-mz) (-x,-y,-z | mx,my,mz) (-x+y,-x,-z+1/2 | -mx+my,-mx,-mz) (y,-x+y,-z | -my,mx-my,mz) (x,y,-z+1/2 | mx,my,-mz) (x-y,x,-z | -mx+my,-mx,mz) (-y,x-y,-z+1/2 | -my,mx-my,-mz) (-x+y,y,z | -mx+my,my,mz) (-y,-x,z | -my,-mx,mz) (x,x-y,z | mx,mx-my,mz) (-x,-x+y,z+1/2 | mx,mx-my,-mz) (x-y,-y,z+1/2 | -mx+my,my,-mz) (y,x,z+1/2 | -my,-mx,-mz)
12k
 (x,2x,z | mx,2mx,mz) (-x,x,z+1/2 | mx,-mx,-mz) (-2x,-x,z | -2mx,-mx,mz) (-x,-2x,z+1/2 | mx,2mx,-mz) (x,-x,z | mx,-mx,mz) (2x,x,z+1/2 | -2mx,-mx,-mz) (-x,-2x,-z | mx,2mx,mz) (2x,x,-z | -2mx,-mx,mz) (-x,x,-z | mx,-mx,mz) (x,-x,-z+1/2 | mx,-mx,-mz) (x,2x,-z+1/2 | mx,2mx,-mz) (-2x,-x,-z+1/2 | -2mx,-mx,-mz)
12j
 (x,y,1/4 | mx,my,0) (x-y,x,3/4 | -mx+my,-mx,0) (-y,x-y,1/4 | -my,mx-my,0) (-x,-y,3/4 | mx,my,0) (-x+y,-x,1/4 | -mx+my,-mx,0) (y,-x+y,3/4 | -my,mx-my,0) (x-y,-y,3/4 | -mx+my,my,0) (y,x,3/4 | -my,-mx,0) (-x,-x+y,3/4 | mx,mx-my,0) (x,x-y,1/4 | mx,mx-my,0) (-x+y,y,1/4 | -mx+my,my,0) (-y,-x,1/4 | -my,-mx,0)
12i
 (x,0,0 | mx,2mx,mz) (x,x,1/2 | mx,-mx,-mz) (0,x,0 | -2mx,-mx,mz) (-x,0,1/2 | mx,2mx,-mz) (-x,-x,0 | mx,-mx,mz) (0,-x,1/2 | -2mx,-mx,-mz) (-x,0,0 | mx,2mx,mz) (-x,-x,1/2 | mx,-mx,-mz) (0,-x,0 | -2mx,-mx,mz) (x,0,1/2 | mx,2mx,-mz) (x,x,0 | mx,-mx,mz) (0,x,1/2 | -2mx,-mx,-mz)
6h
 (x,2x,1/4 | mx,2mx,0) (-x,x,3/4 | mx,-mx,0) (-2x,-x,1/4 | -2mx,-mx,0) (-x,-2x,3/4 | mx,2mx,0) (x,-x,1/4 | mx,-mx,0) (2x,x,3/4 | -2mx,-mx,0)
6g
 (1/2,0,0 | mx,2mx,mz) (1/2,1/2,1/2 | mx,-mx,-mz) (0,1/2,0 | -2mx,-mx,mz) (1/2,0,1/2 | mx,2mx,-mz) (1/2,1/2,0 | mx,-mx,mz) (0,1/2,1/2 | -2mx,-mx,-mz)
4f
 (1/3,2/3,z | 0,0,mz) (2/3,1/3,z+1/2 | 0,0,-mz) (2/3,1/3,-z | 0,0,mz) (1/3,2/3,-z+1/2 | 0,0,-mz)
4e
 (0,0,z | 0,0,mz) (0,0,z+1/2 | 0,0,-mz) (0,0,-z | 0,0,mz) (0,0,-z+1/2 | 0,0,-mz)
2d
 (1/3,2/3,3/4 | 0,0,0) (2/3,1/3,1/4 | 0,0,0)
2c
 (1/3,2/3,1/4 | 0,0,0) (2/3,1/3,3/4 | 0,0,0)
2b
 (0,0,1/4 | 0,0,0) (0,0,3/4 | 0,0,0)
2a
 (0,0,0 | 0,0,mz) (0,0,1/2 | 0,0,-mz)

### Site Symmetries of the Wyckoff Positions

WPRepresentativeSite
symmetry
2a(0,0,0 | 0,0,mz)-3m'.
2b(0,0,1/4 | 0,0,0)-6'm'2
2c(1/3,2/3,1/4 | 0,0,0)-6'm'2
2d(1/3,2/3,3/4 | 0,0,0)-6'm'2
4e(0,0,z | 0,0,mz)3m'.
4f(1/3,2/3,z | 0,0,mz)3m'.
6g(1/2,0,0 | mx,2mx,mz).2'/m'.
6h(x,2x,1/4 | mx,2mx,0)m'm'2
12i(x,0,0 | mx,2mx,mz).2'.
12j(x,y,1/4 | mx,my,0)m'..
12k(x,2x,z | mx,2mx,mz).m'.
24l(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 P63'/m'm'c (#194.268)
Go to the Systematic absences for the Group P63'/m'm'c (#194.268)

 Bilbao Crystallographic Serverhttp://www.cryst.ehu.es