Bilbao Crystallographic Server MWYCKPOS Wyckoff Positions of Magnetic Space Groups Help

Wyckoff Positions of the Group R-3m (#166.97) For this space group, BNS and OG settings coincide.Its label in the OG setting is given as: R-3m (#166.1.1327)

Multiplicity Wyckoff
letter
Coordinates
(0,0,0) + (2/3,1/3,1/3) + (1/3,2/3,2/3) +
36i
 (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)
18h
 (x,-x,z | mx,mx,0) (x,2x,z | -mx,0,0) (-2x,-x,z | 0,-mx,0) (2x,x,-z | 0,-mx,0) (-x,x,-z | mx,mx,0) (-x,-2x,-z | -mx,0,0)
18g
 (x,0,1/2 | mx,0,0) (0,x,1/2 | 0,mx,0) (-x,-x,1/2 | -mx,-mx,0) (-x,0,1/2 | mx,0,0) (0,-x,1/2 | 0,mx,0) (x,x,1/2 | -mx,-mx,0)
18f
 (x,0,0 | mx,0,0) (0,x,0 | 0,mx,0) (-x,-x,0 | -mx,-mx,0) (-x,0,0 | mx,0,0) (0,-x,0 | 0,mx,0) (x,x,0 | -mx,-mx,0)
9e
 (1/2,0,0 | mx,0,0) (0,1/2,0 | 0,mx,0) (1/2,1/2,0 | -mx,-mx,0)
9d
 (1/2,0,1/2 | mx,0,0) (0,1/2,1/2 | 0,mx,0) (1/2,1/2,1/2 | -mx,-mx,0)
6c
 (0,0,z | 0,0,0) (0,0,-z | 0,0,0)
3b
 (0,0,1/2 | 0,0,0)
3a
 (0,0,0 | 0,0,0)

Site Symmetries of the Wyckoff Positions

WPRepresentativeSite
symmetry
3a(0,0,0 | 0,0,0)-3m.
3b(0,0,1/2 | 0,0,0)-3m.
6c(0,0,z | 0,0,0)3m.
9d(1/2,0,1/2 | mx,0,0).2/m.
9e(1/2,0,0 | mx,0,0).2/m.
18f(x,0,0 | mx,0,0).2.
18g(x,0,1/2 | mx,0,0).2.
18h(x,-x,z | mx,mx,0).m.
36i(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-3m (#166.97)
Go to the Systematic absences for the Group R-3m (#166.97)

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