Bilbao Crystallographic Server arrow MGENPOS arrow Table of Magnetic Space Group Symbols Help

I432 [#211.56] (Type: 1 -- Type I (Fedorov))

[OG: I432 #211.1.1556]

Wyckoff Positions of Group 211.56 (I432)

Multiplicity Wyckoff
letter
Coordinates
(0,0,0) +(1/2,1/2,1/2) + 
48j
(x,y,z | mx,my,mz) (x,-z,y | mx,-mz,my) (x,z,-y | mx,mz,-my)
(z,y,-x | mz,my,-mx) (-z,y,x | -mz,my,mx) (-y,x,z | -my,mx,mz)
(y,-x,z | my,-mx,mz) (x,-y,-z | mx,-my,-mz) (-x,y,-z | -mx,my,-mz)
(-x,-y,z | -mx,-my,mz) (y,x,-z | my,mx,-mz) (-y,-x,-z | -my,-mx,-mz)
(-x,z,y | -mx,mz,my) (-x,-z,-y | -mx,-mz,-my) (z,-y,x | mz,-my,mx)
(-z,-y,-x | -mz,-my,-mx) (z,x,y | mz,mx,my) (y,z,x | my,mz,mx)
(-y,z,-x | -my,mz,-mx) (-z,-x,y | -mz,-mx,my) (-y,-z,x | -my,-mz,mx)
(z,-x,-y | mz,-mx,-my) (y,-z,-x | my,-mz,-mx) (-z,x,-y | -mz,mx,-my)
24i
(1/4,y,-y+1/2 | 0,my,-my) (3/4,y,y+1/2 | 0,my,my) (3/4,-y,-y+1/2 | 0,-my,-my)
(-y,y+1/2,1/4 | -my,my,0) (y,y+1/2,3/4 | my,my,0) (-y+1/2,3/4,-y | -my,0,-my)
(y+1/2,1/4,-y | my,0,-my) (1/4,-y,y+1/2 | 0,-my,my) (y+1/2,3/4,y | my,0,my)
(-y+1/2,1/4,y | -my,0,my) (-y,-y+1/2,3/4 | -my,-my,0) (y,-y+1/2,1/4 | my,-my,0)
24h
(0,y,y | 0,my,my) (0,-y,y | 0,-my,my) (0,y,-y | 0,my,-my)
(y,y,0 | my,my,0) (-y,y,0 | -my,my,0) (-y,0,y | -my,0,my)
(y,0,y | my,0,my) (0,-y,-y | 0,-my,-my) (y,0,-y | my,0,-my)
(-y,0,-y | -my,0,-my) (y,-y,0 | my,-my,0) (-y,-y,0 | -my,-my,0)
24g
(x,1/2,0 | mx,0,0) (x,0,1/2 | mx,0,0) (0,1/2,-x | 0,0,-mx)
(0,1/2,x | 0,0,mx) (1/2,x,0 | 0,mx,0) (1/2,-x,0 | 0,-mx,0)
(-x,1/2,0 | -mx,0,0) (-x,0,1/2 | -mx,0,0) (0,x,1/2 | 0,mx,0)
(1/2,0,x | 0,0,mx) (1/2,0,-x | 0,0,-mx) (0,-x,1/2 | 0,-mx,0)
16f
(x,x,x | mx,mx,mx) (x,-x,x | mx,-mx,mx) (x,x,-x | mx,mx,-mx)
(-x,x,x | -mx,mx,mx) (x,-x,-x | mx,-mx,-mx) (-x,x,-x | -mx,mx,-mx)
(-x,-x,x | -mx,-mx,mx) (-x,-x,-x | -mx,-mx,-mx)
12e
(x,0,0 | mx,0,0) (0,0,-x | 0,0,-mx) (0,0,x | 0,0,mx)
(0,x,0 | 0,mx,0) (0,-x,0 | 0,-mx,0) (-x,0,0 | -mx,0,0)
12d
(1/4,1/2,0 | 0,0,0) (3/4,1/2,0 | 0,0,0) (1/2,0,1/4 | 0,0,0)
(1/2,0,3/4 | 0,0,0) (0,3/4,1/2 | 0,0,0) (0,1/4,1/2 | 0,0,0)
8c
(1/4,1/4,1/4 | 0,0,0) (3/4,1/4,3/4 | 0,0,0) (3/4,3/4,1/4 | 0,0,0)
(1/4,3/4,3/4 | 0,0,0)
6b
(0,1/2,1/2 | 0,0,0) (1/2,1/2,0 | 0,0,0) (1/2,0,1/2 | 0,0,0)
2a
(0,0,0 | 0,0,0)

Site Symmetries of the Wyckoff Positions

WPRepresentativePG
2a(0,0,0 | 0,0,0)432
6b(0,1/2,1/2 | 0,0,0)422
8c(1/4,1/4,1/4 | 0,0,0)32
12d(1/4,1/2,0 | 0,0,0)222
12e(x,0,0 | mx,0,0)4
16f(x,x,x | mx,mx,mx)3
24g(x,1/2,0 | mx,0,0)2
24h(0,y,y | 0,my,my)2
24i(1/4,y,-y+1/2 | 0,my,-my)2
48j(x,y,z | mx,my,mz)1

List all the elements of the orbits


Go to the operators of (I432)
Go to the extinction rules of (I432)



Back to the list of magnetic space groups derived from I432
Back to the list of Magnetic Space Groups

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