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

PCccm [#49.275] (Type: 4 -- Type IV (klassengleiche))

[OG: CPccm #66.8.571]

Wyckoff Positions of Group 49.275 (PCccm)

MultiplicityWyckoff
letter
Coordinates
16m
(x,y,z | mx,my,mz) (x,-y,-z+1/2 | mx,-my,-mz) (-x,y,-z+1/2 | -mx,my,-mz)
(-x,-y,z | -mx,-my,mz) (-x,-y,-z | mx,my,mz) (-x,y,z+1/2 | mx,-my,-mz)
(x,-y,z+1/2 | -mx,my,-mz) (x,y,-z | -mx,-my,mz) (x+1/2,y+1/2,z | -mx,-my,-mz)
(x+1/2,-y+1/2,-z+1/2 | -mx,my,mz) (-x+1/2,y+1/2,-z+1/2 | mx,-my,mz) (-x+1/2,-y+1/2,z | mx,my,-mz)
(-x+1/2,-y+1/2,-z | -mx,-my,-mz) (-x+1/2,y+1/2,z+1/2 | -mx,my,mz) (x+1/2,-y+1/2,z+1/2 | mx,-my,mz)
(x+1/2,y+1/2,-z | mx,my,-mz)
8l
(x,y,0 | 0,0,mz) (x,-y,1/2 | 0,0,-mz) (-x,y,1/2 | 0,0,-mz)
(-x,-y,0 | 0,0,mz) (x+1/2,y+1/2,0 | 0,0,-mz) (x+1/2,-y+1/2,1/2 | 0,0,mz)
(-x+1/2,y+1/2,1/2 | 0,0,mz) (-x+1/2,-y+1/2,0 | 0,0,-mz)
8k
(1/4,1/4,z | mx,my,0) (1/4,3/4,-z+1/2 | mx,-my,0) (3/4,1/4,-z+1/2 | -mx,my,0)
(3/4,3/4,z | -mx,-my,0) (3/4,3/4,-z | mx,my,0) (3/4,1/4,z+1/2 | mx,-my,0)
(1/4,3/4,z+1/2 | -mx,my,0) (1/4,1/4,-z | -mx,-my,0)
8j
(0,1/2,z | 0,0,mz) (0,1/2,-z+1/2 | 0,0,-mz) (0,1/2,-z | 0,0,mz)
(0,1/2,z+1/2 | 0,0,-mz) (1/2,0,z | 0,0,-mz) (1/2,0,-z+1/2 | 0,0,mz)
(1/2,0,-z | 0,0,-mz) (1/2,0,z+1/2 | 0,0,mz)
8i
(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) (1/2,1/2,z | 0,0,-mz) (1/2,1/2,-z+1/2 | 0,0,mz)
(1/2,1/2,-z | 0,0,-mz) (1/2,1/2,z+1/2 | 0,0,mz)
8h
(0,y,1/4 | 0,my,0) (0,-y,1/4 | 0,-my,0) (0,-y,3/4 | 0,my,0)
(0,y,3/4 | 0,-my,0) (1/2,y+1/2,1/4 | 0,-my,0) (1/2,-y+1/2,1/4 | 0,my,0)
(1/2,-y+1/2,3/4 | 0,-my,0) (1/2,y+1/2,3/4 | 0,my,0)
8g
(x,0,1/4 | mx,0,0) (-x,0,1/4 | -mx,0,0) (-x,0,3/4 | mx,0,0)
(x,0,3/4 | -mx,0,0) (x+1/2,1/2,1/4 | -mx,0,0) (-x+1/2,1/2,1/4 | mx,0,0)
(-x+1/2,1/2,3/4 | -mx,0,0) (x+1/2,1/2,3/4 | mx,0,0)
4f
(1/4,3/4,0 | 0,0,0) (1/4,1/4,1/2 | 0,0,0) (3/4,3/4,1/2 | 0,0,0)
(3/4,1/4,0 | 0,0,0)
4e
(1/4,1/4,0 | 0,0,0) (1/4,3/4,1/2 | 0,0,0) (3/4,1/4,1/2 | 0,0,0)
(3/4,3/4,0 | 0,0,0)
4d
(0,1/2,0 | 0,0,mz) (0,1/2,1/2 | 0,0,-mz) (1/2,0,0 | 0,0,-mz)
(1/2,0,1/2 | 0,0,mz)
4c
(0,0,0 | 0,0,mz) (0,0,1/2 | 0,0,-mz) (1/2,1/2,0 | 0,0,-mz)
(1/2,1/2,1/2 | 0,0,mz)
4b
(0,1/2,1/4 | 0,0,0) (0,1/2,3/4 | 0,0,0) (1/2,0,1/4 | 0,0,0)
(1/2,0,3/4 | 0,0,0)
4a
(0,0,1/4 | 0,0,0) (0,0,3/4 | 0,0,0) (1/2,1/2,1/4 | 0,0,0)
(1/2,1/2,3/4 | 0,0,0)

Site Symmetries of the Wyckoff Positions

WPRepresentativePG
4a(0,0,1/4 | 0,0,0)222
4b(0,1/2,1/4 | 0,0,0)222
4c(0,0,0 | 0,0,mz)2/m
4d(0,1/2,0 | 0,0,mz)2/m
4e(1/4,1/4,0 | 0,0,0)2'/m
4f(1/4,3/4,0 | 0,0,0)2'/m
8g(x,0,1/4 | mx,0,0)2
8h(0,y,1/4 | 0,my,0)2
8i(0,0,z | 0,0,mz)2
8j(0,1/2,z | 0,0,mz)2
8k(1/4,1/4,z | mx,my,0)1
8l(x,y,0 | 0,0,mz)m
16m(x,y,z | mx,my,mz)1

List all the elements of the orbits


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



Back to the list of magnetic space groups derived from Pccm
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