Bilbao Crystallographic Server MWYCKPOS Wyckoff Positions of Magnetic Space Groups Help

## Wyckoff Positions of the Group R-3c' (#167.107) For this space group, BNS and OG settings coincide.Its label in the OG setting is given as: R-3c' (#167.5.1338)

Multiplicity Wyckoff
letter
Coordinates
(0,0,0) + (2/3,1/3,1/3) + (1/3,2/3,2/3) +
36f
 (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+1/2 | -mx+my,my,mz) (y,x,-z+1/2 | -my,-mx,mz) (-x,-x+y,-z+1/2 | 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+1/2 | -mx+my,my,mz) (-y,-x,z+1/2 | -my,-mx,mz) (x,x-y,z+1/2 | mx,mx-my,mz)
18e
 (x,0,1/4 | mx,2mx,mz) (0,x,1/4 | -2mx,-mx,mz) (-x,-x,1/4 | mx,-mx,mz) (-x,0,3/4 | mx,2mx,mz) (0,-x,3/4 | -2mx,-mx,mz) (x,x,3/4 | mx,-mx,mz)
18d
 (1/2,0,0 | mx,my,mz) (0,1/2,0 | -my,mx-my,mz) (1/2,1/2,0 | -mx+my,-mx,mz) (1/2,0,1/2 | -mx+my,my,mz) (0,1/2,1/2 | -my,-mx,mz) (1/2,1/2,1/2 | mx,mx-my,mz)
12c
 (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)
6b
 (0,0,0 | 0,0,mz) (0,0,1/2 | 0,0,mz)
6a
 (0,0,1/4 | 0,0,mz) (0,0,3/4 | 0,0,mz)

### Site Symmetries of the Wyckoff Positions

WPRepresentativeSite
symmetry
6a(0,0,1/4 | 0,0,mz)32'.
6b(0,0,0 | 0,0,mz)-3..
12c(0,0,z | 0,0,mz)3..
18d(1/2,0,0 | mx,my,mz)-1
18e(x,0,1/4 | mx,2mx,mz).2'.
36f(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 R-3c' (#167.107)
Go to the Systematic absences for the Group R-3c' (#167.107)

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