Bilbao Crystallographic Server MWYCKPOS Wyckoff Positions of Magnetic Space Groups Help

## Wyckoff Positions of the Group P-3m'1 (#164.89) 164.89 P-3m'1 (UNI symbol)For this space group, BNS and OG settings coincide.Its label in the OG setting is given as: P-3m'1 (#164.5.1319)

MultiplicityWyckoff
letter
Coordinates
12j
 (x,y,z | mx,my,mz) (-y,x-y,z | -my,mx-my,mz) (-x+y,-x,z | -mx+my,-mx,mz) (x-y,-y,-z | -mx+my,my,mz) (y,x,-z | -my,-mx,mz) (-x,-x+y,-z | mx,mx-my,mz) (-x,-y,-z | mx,my,mz) (y,-x+y,-z | -my,mx-my,mz) (x-y,x,-z | -mx+my,-mx,mz) (-x+y,y,z | -mx+my,my,mz) (-y,-x,z | -my,-mx,mz) (x,x-y,z | mx,mx-my,mz)
6i
 (x,-x,z | mx,-mx,mz) (x,2x,z | mx,2mx,mz) (-2x,-x,z | -2mx,-mx,mz) (2x,x,-z | -2mx,-mx,mz) (-x,x,-z | mx,-mx,mz) (-x,-2x,-z | mx,2mx,mz)
6h
 (x,0,1/2 | mx,2mx,mz) (0,x,1/2 | -2mx,-mx,mz) (-x,-x,1/2 | mx,-mx,mz) (-x,0,1/2 | mx,2mx,mz) (0,-x,1/2 | -2mx,-mx,mz) (x,x,1/2 | mx,-mx,mz)
6g
 (x,0,0 | mx,2mx,mz) (0,x,0 | -2mx,-mx,mz) (-x,-x,0 | mx,-mx,mz) (-x,0,0 | mx,2mx,mz) (0,-x,0 | -2mx,-mx,mz) (x,x,0 | mx,-mx,mz)
3f
 (1/2,0,1/2 | mx,2mx,mz) (0,1/2,1/2 | -2mx,-mx,mz) (1/2,1/2,1/2 | mx,-mx,mz)
3e
 (1/2,0,0 | mx,2mx,mz) (0,1/2,0 | -2mx,-mx,mz) (1/2,1/2,0 | mx,-mx,mz)
2d
 (1/3,2/3,z | 0,0,mz) (2/3,1/3,-z | 0,0,mz)
2c
 (0,0,z | 0,0,mz) (0,0,-z | 0,0,mz)
1b
 (0,0,1/2 | 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)-3m'.
1b(0,0,1/2 | 0,0,mz)-3m'.
2c(0,0,z | 0,0,mz)3m'.
2d(1/3,2/3,z | 0,0,mz)3m'.
3e(1/2,0,0 | mx,2mx,mz).2'/m'.
3f(1/2,0,1/2 | mx,2mx,mz).2'/m'.
6g(x,0,0 | mx,2mx,mz).2'.
6h(x,0,1/2 | mx,2mx,mz).2'.
6i(x,-x,z | mx,-mx,mz).m'.
12j(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-3m'1 (#164.89)
Go to the Systematic absences for the Group P-3m'1 (#164.89)

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