Bilbao Crystallographic Server arrow MWYCKPOS arrow Wyckoff Positions of Magnetic Space Groups Help

Wyckoff Positions of the Group Fd-3m' (#227.131)
For this space group, BNS and OG settings coincide.
Its label in the OG setting is given as: Fd-3m' (#227.4.1631)

Multiplicity Wyckoff
letter
Coordinates
(0,0,0) + (0,1/2,1/2) + (1/2,0,1/2) + (1/2,1/2,0) +  
192i
(x,y,z | mx,my,mz) (x+1/4,-z,y+1/4 | -mx,mz,-my)
(x+1/4,z+1/4,-y | -mx,-mz,my) (z+1/4,y+1/4,-x | -mz,-my,mx)
(-z,y+1/4,x+1/4 | mz,-my,-mx) (-y,x+1/4,z+1/4 | my,-mx,-mz)
(y+1/4,-x,z+1/4 | -my,mx,-mz) (x,-y+1/4,-z+1/4 | mx,-my,-mz)
(-x+1/4,y,-z+1/4 | -mx,my,-mz) (-x+1/4,-y+1/4,z | -mx,-my,mz)
(y+1/4,x+1/4,-z | -my,-mx,mz) (-y,-x,-z | my,mx,mz)
(-x,z+1/4,y+1/4 | mx,-mz,-my) (-x,-z,-y | mx,mz,my)
(z+1/4,-y,x+1/4 | -mz,my,-mx) (-z,-y,-x | mz,my,mx)
(z,x,y | mz,mx,my) (y,z,x | my,mz,mx)
(-y+1/4,z,-x+1/4 | -my,mz,-mx) (-z+1/4,-x+1/4,y | -mz,-mx,my)
(-y+1/4,-z+1/4,x | -my,-mz,mx) (z,-x+1/4,-y+1/4 | mz,-mx,-my)
(y,-z+1/4,-x+1/4 | my,-mz,-mx) (-z+1/4,x,-y+1/4 | -mz,mx,-my)
(-x,-y,-z | mx,my,mz) (-x+1/4,z,-y+1/4 | -mx,mz,-my)
(-x+1/4,-z+1/4,y | -mx,-mz,my) (-z+1/4,-y+1/4,x | -mz,-my,mx)
(z,-y+1/4,-x+1/4 | mz,-my,-mx) (y,-x+1/4,-z+1/4 | my,-mx,-mz)
(-y+1/4,x,-z+1/4 | -my,mx,-mz) (-x,y+1/4,z+1/4 | mx,-my,-mz)
(x+1/4,-y,z+1/4 | -mx,my,-mz) (x+1/4,y+1/4,-z | -mx,-my,mz)
(-y+1/4,-x+1/4,z | -my,-mx,mz) (y,x,z | my,mx,mz)
(x,-z+1/4,-y+1/4 | mx,-mz,-my) (x,z,y | mx,mz,my)
(-z+1/4,y,-x+1/4 | -mz,my,-mx) (z,y,x | mz,my,mx)
(-z,-x,-y | mz,mx,my) (-y,-z,-x | my,mz,mx)
(y+1/4,-z,x+1/4 | -my,mz,-mx) (z+1/4,x+1/4,-y | -mz,-mx,my)
(y+1/4,z+1/4,-x | -my,-mz,mx) (-z,x+1/4,y+1/4 | mz,-mx,-my)
(-y,z+1/4,x+1/4 | my,-mz,-mx) (z+1/4,-x,y+1/4 | -mz,mx,-my)
96h
(0,y,-y | mx,my,my) (1/4,y,y+1/4 | -mx,my,-my)
(1/4,-y+1/4,-y | -mx,-my,my) (-y+1/4,y+1/4,0 | -my,-my,mx)
(y,y+1/4,1/4 | my,-my,-mx) (-y,1/4,-y+1/4 | my,-mx,-my)
(y+1/4,0,-y+1/4 | -my,mx,-my) (0,-y+1/4,y+1/4 | mx,-my,-my)
(y+1/4,1/4,y | -my,-mx,my) (-y,0,y | my,mx,my)
(-y+1/4,-y,1/4 | -my,my,-mx) (y,-y,0 | my,my,mx)
(0,-y,y | mx,my,my) (1/4,-y,-y+1/4 | -mx,my,-my)
(1/4,y+1/4,y | -mx,-my,my) (y+1/4,-y+1/4,0 | -my,-my,mx)
(-y,-y+1/4,1/4 | my,-my,-mx) (y,1/4,y+1/4 | my,-mx,-my)
(-y+1/4,0,y+1/4 | -my,mx,-my) (0,y+1/4,-y+1/4 | mx,-my,-my)
(-y+1/4,1/4,-y | -my,-mx,my) (y,0,-y | my,mx,my)
(y+1/4,y,1/4 | -my,my,-mx) (-y,y,0 | my,my,mx)
96g
(x,x,z | mx,mx,mz) (x+1/4,-z,x+1/4 | -mx,mz,-mx)
(x+1/4,z+1/4,-x | -mx,-mz,mx) (z+1/4,x+1/4,-x | -mz,-mx,mx)
(-z,x+1/4,x+1/4 | mz,-mx,-mx) (-x,x+1/4,z+1/4 | mx,-mx,-mz)
(x+1/4,-x,z+1/4 | -mx,mx,-mz) (x,-x+1/4,-z+1/4 | mx,-mx,-mz)
(-x+1/4,x,-z+1/4 | -mx,mx,-mz) (-x+1/4,-x+1/4,z | -mx,-mx,mz)
(x+1/4,x+1/4,-z | -mx,-mx,mz) (-x,-x,-z | mx,mx,mz)
(-x,z+1/4,x+1/4 | mx,-mz,-mx) (-x,-z,-x | mx,mz,mx)
(z+1/4,-x,x+1/4 | -mz,mx,-mx) (-z,-x,-x | mz,mx,mx)
(z,x,x | mz,mx,mx) (x,z,x | mx,mz,mx)
(-x+1/4,z,-x+1/4 | -mx,mz,-mx) (-z+1/4,-x+1/4,x | -mz,-mx,mx)
(-x+1/4,-z+1/4,x | -mx,-mz,mx) (z,-x+1/4,-x+1/4 | mz,-mx,-mx)
(x,-z+1/4,-x+1/4 | mx,-mz,-mx) (-z+1/4,x,-x+1/4 | -mz,mx,-mx)
48f
(x,1/8,1/8 | mx,0,0) (x+1/4,7/8,3/8 | -mx,0,0)
(7/8,7/8,-x | 0,0,mx) (7/8,3/8,x+1/4 | 0,0,-mx)
(7/8,x+1/4,3/8 | 0,-mx,0) (7/8,-x,7/8 | 0,mx,0)
(-x+1/4,1/8,1/8 | -mx,0,0) (-x,7/8,7/8 | mx,0,0)
(1/8,x,1/8 | 0,mx,0) (1/8,1/8,x | 0,0,mx)
(1/8,1/8,-x+1/4 | 0,0,-mx) (1/8,-x+1/4,1/8 | 0,-mx,0)
32e
(x,x,x | mx,mx,mx) (x+1/4,-x,x+1/4 | -mx,mx,-mx)
(x+1/4,x+1/4,-x | -mx,-mx,mx) (-x,x+1/4,x+1/4 | mx,-mx,-mx)
(x,-x+1/4,-x+1/4 | mx,-mx,-mx) (-x+1/4,x,-x+1/4 | -mx,mx,-mx)
(-x+1/4,-x+1/4,x | -mx,-mx,mx) (-x,-x,-x | mx,mx,mx)
16d
(1/2,1/2,1/2 | mx,mx,mx) (3/4,1/2,3/4 | -mx,mx,-mx)
(3/4,3/4,1/2 | -mx,-mx,mx) (1/2,3/4,3/4 | mx,-mx,-mx)
16c
(0,0,0 | mx,mx,mx) (1/4,0,1/4 | -mx,mx,-mx)
(1/4,1/4,0 | -mx,-mx,mx) (0,1/4,1/4 | mx,-mx,-mx)
8b
(3/8,3/8,3/8 | 0,0,0) (5/8,5/8,5/8 | 0,0,0)
8a
(1/8,1/8,1/8 | 0,0,0) (7/8,7/8,7/8 | 0,0,0)

Site Symmetries of the Wyckoff Positions

WPRepresentativeSite
symmetry
8a(1/8,1/8,1/8 | 0,0,0)-4'3m'
8b(3/8,3/8,3/8 | 0,0,0)-4'3m'
16c(0,0,0 | mx,mx,mx).-3m'
16d(1/2,1/2,1/2 | mx,mx,mx).-3m'
32e(x,x,x | mx,mx,mx).3m'
48f(x,1/8,1/8 | mx,0,0)2.m'm'
96g(x,x,z | mx,mx,mz)..m'
96h(0,y,-y | mx,my,my)..2'
192i(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 Fd-3m' (#227.131)
Go to the Systematic absences for the Group Fd-3m' (#227.131)

Bilbao Crystallographic Server
http://www.cryst.ehu.es
Licencia de Creative Commons
For comments, please mail to
administrador.bcs@ehu.eus