Bilbao Crystallographic Server MWYCKPOS Wyckoff Positions of Magnetic Space Groups Help

## Wyckoff Positions of the Group Pc-31m (#162.78) [BNS setting]

Multiplicity Wyckoff
letter
Coordinates
(0,0,0) + (0,0,1/2)' +
24l
 (x,y,z | mx,my,mz) (-y,x-y,z | -my,mx-my,mz) (-x+y,-x,z | -mx+my,-mx,mz) (x,x-y,-z | mx,mx-my,-mz) (-x+y,y,-z | -mx+my,my,-mz) (-y,-x,-z | -my,-mx,-mz) (-x,-y,-z | mx,my,mz) (y,-x+y,-z | -my,mx-my,mz) (x-y,x,-z | -mx+my,-mx,mz) (-x,-x+y,z | mx,mx-my,-mz) (x-y,-y,z | -mx+my,my,-mz) (y,x,z | -my,-mx,-mz)
12k
 (x,0,z | mx,2mx,0) (0,x,z | -2mx,-mx,0) (-x,-x,z | mx,-mx,0) (x,x,-z | mx,-mx,0) (-x,0,-z | mx,2mx,0) (0,-x,-z | -2mx,-mx,0)
12j
 (x,-x,1/4 | mx,mx,mz) (x,2x,1/4 | -mx,0,mz) (-2x,-x,1/4 | 0,-mx,mz) (-x,x,3/4 | mx,mx,mz) (-x,-2x,3/4 | -mx,0,mz) (2x,x,3/4 | 0,-mx,mz)
12i
 (x,-x,0 | mx,-mx,0) (x,2x,0 | mx,2mx,0) (-2x,-x,0 | -2mx,-mx,0) (-x,x,0 | mx,-mx,0) (-x,-2x,0 | mx,2mx,0) (2x,x,0 | -2mx,-mx,0)
8h
 (1/3,2/3,z | 0,0,mz) (1/3,2/3,-z | 0,0,-mz) (2/3,1/3,-z | 0,0,mz) (2/3,1/3,z | 0,0,-mz)
6g
 (1/2,0,1/4 | 0,0,0) (0,1/2,1/4 | 0,0,0) (1/2,1/2,1/4 | 0,0,0)
6f
 (1/2,0,0 | mx,2mx,0) (0,1/2,0 | -2mx,-mx,0) (1/2,1/2,0 | mx,-mx,0)
4e
 (0,0,z | 0,0,0) (0,0,-z | 0,0,0)
4d
 (1/3,2/3,1/4 | 0,0,mz) (2/3,1/3,3/4 | 0,0,mz)
4c
 (1/3,2/3,0 | 0,0,0) (2/3,1/3,0 | 0,0,0)
2b
 (0,0,1/4 | 0,0,0)
2a
 (0,0,0 | 0,0,0)

### Site Symmetries of the Wyckoff Positions

WPRepresentativeSite
symmetry
2a(0,0,0 | 0,0,0)-3.m
2b(0,0,1/4 | 0,0,0)-3'.m
4c(1/3,2/3,0 | 0,0,0)3.2
4d(1/3,2/3,1/4 | 0,0,mz)3.2'
4e(0,0,z | 0,0,0)3.m
6f(1/2,0,0 | mx,2mx,0)..2/m
6g(1/2,0,1/4 | 0,0,0)..2'/m
8h(1/3,2/3,z | 0,0,mz)3..
12i(x,-x,0 | mx,-mx,0)..2
12j(x,-x,1/4 | mx,mx,mz)..2'
12k(x,0,z | mx,2mx,0)..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 Pc-31m (#162.78)
Go to the Systematic absences for the Group Pc-31m (#162.78)

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