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

PC4212 [#90.101] (Type: 4 -- Type IV (klassengleiche))

[OG: PP4'22' #89.10.756]

Wyckoff Positions of Group 90.101 (PC4212)

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

Site Symmetries of the Wyckoff Positions

WPRepresentativePG
2a(0,0,0 | 0,0,0)4'22'
2a(1/2,1/2,0 | 0,0,0)4'22'
2b(0,0,1/2 | 0,0,0)4'22'
2b(1/2,1/2,1/2 | 0,0,0)4'22'
2c(0,1/2,0 | 0,0,mz)4
2c(1/2,0,0 | 0,0,-mz)4
2d(0,1/2,1/2 | 0,0,mz)4
2d(1/2,0,1/2 | 0,0,-mz)4
4e(1/4,1/4,0 | mx,mx,0)2
4e(1/4,3/4,0 | -mx,mx,0)2
4e(3/4,1/4,0 | mx,-mx,0)2
4e(3/4,3/4,0 | -mx,-mx,0)2
4f(1/4,1/4,1/2 | mx,mx,0)2
4f(1/4,3/4,1/2 | -mx,mx,0)2
4f(3/4,1/4,1/2 | mx,-mx,0)2
4f(3/4,3/4,1/2 | -mx,-mx,0)2
4g(0,0,z | 0,0,0)4'
4g(1/2,1/2,z | 0,0,0)4'
4g(1/2,1/2,-z | 0,0,0)4'
4g(0,0,-z | 0,0,0)4'
4h(0,1/2,z | 0,0,mz)4
4h(1/2,0,-z | 0,0,-mz)4
4h(1/2,0,z | 0,0,-mz)4
4h(0,1/2,-z | 0,0,mz)4
8i(3/4,1/4,z | mx,my,0)1
8i(1/4,1/4,z | -my,mx,0)1
8i(3/4,3/4,z | my,-mx,0)1
8i(1/4,1/4,-z | mx,-my,0)1
8i(3/4,3/4,-z | -mx,my,0)1
8i(1/4,3/4,z | -mx,-my,0)1
8i(1/4,3/4,-z | my,mx,0)1
8i(3/4,1/4,-z | -my,-mx,0)1
8j(0,y,0 | mx,0,mz)1
8j(-y+1/2,1/2,0 | 0,mx,mz)1
8j(y+1/2,1/2,0 | 0,-mx,mz)1
8j(1/2,-y+1/2,0 | mx,0,-mz)1
8j(1/2,y+1/2,0 | -mx,0,-mz)1
8j(0,-y,0 | -mx,0,mz)1
8j(y,0,0 | 0,mx,-mz)1
8j(-y,0,0 | 0,-mx,-mz)1
8k(0,y,1/2 | mx,0,mz)1
8k(-y+1/2,1/2,1/2 | 0,mx,mz)1
8k(y+1/2,1/2,1/2 | 0,-mx,mz)1
8k(1/2,-y+1/2,1/2 | mx,0,-mz)1
8k(1/2,y+1/2,1/2 | -mx,0,-mz)1
8k(0,-y,1/2 | -mx,0,mz)1
8k(y,0,1/2 | 0,mx,-mz)1
8k(-y,0,1/2 | 0,-mx,-mz)1
8l(x,x,0 | mx,mx,0)2
8l(-x+1/2,x+1/2,0 | -mx,mx,0)2
8l(x+1/2,-x+1/2,0 | mx,-mx,0)2
8l(-x,-x,0 | -mx,-mx,0)2
8l(x+1/2,x+1/2,0 | -mx,-mx,0)2
8l(-x,x,0 | mx,-mx,0)2
8l(x,-x,0 | -mx,mx,0)2
8l(-x+1/2,-x+1/2,0 | mx,mx,0)2
8m(x,x+1/2,1/2 | mx,-mx,mz)1
8m(-x,x+1/2,1/2 | mx,mx,mz)1
8m(x,-x+1/2,1/2 | -mx,-mx,mz)1
8m(x+1/2,-x,1/2 | mx,mx,-mz)1
8m(-x+1/2,x,1/2 | -mx,-mx,-mz)1
8m(-x,-x+1/2,1/2 | -mx,mx,mz)1
8m(x+1/2,x,1/2 | -mx,mx,-mz)1
8m(-x+1/2,-x,1/2 | mx,-mx,-mz)1
8n(x,x,1/2 | mx,mx,0)2
8n(-x+1/2,x+1/2,1/2 | -mx,mx,0)2
8n(x+1/2,-x+1/2,1/2 | mx,-mx,0)2
8n(-x,-x,1/2 | -mx,-mx,0)2
8n(x+1/2,x+1/2,1/2 | -mx,-mx,0)2
8n(-x,x,1/2 | mx,-mx,0)2
8n(x,-x,1/2 | -mx,mx,0)2
8n(-x+1/2,-x+1/2,1/2 | mx,mx,0)2
8o(x,x+1/2,0 | mx,-mx,mz)1
8o(-x,x+1/2,0 | mx,mx,mz)1
8o(x,-x+1/2,0 | -mx,-mx,mz)1
8o(x+1/2,-x,0 | mx,mx,-mz)1
8o(-x+1/2,x,0 | -mx,-mx,-mz)1
8o(-x,-x+1/2,0 | -mx,mx,mz)1
8o(x+1/2,x,0 | -mx,mx,-mz)1
8o(-x+1/2,-x,0 | mx,-mx,-mz)1
16p(x,y,z | mx,my,mz)1
16p(-y+1/2,x+1/2,z | -my,mx,mz)1
16p(y+1/2,-x+1/2,z | my,-mx,mz)1
16p(x+1/2,-y+1/2,-z | mx,-my,-mz)1
16p(-x+1/2,y+1/2,-z | -mx,my,-mz)1
16p(-x,-y,z | -mx,-my,mz)1
16p(y,x,-z | my,mx,-mz)1
16p(-y,-x,-z | -my,-mx,-mz)1
16p(x+1/2,y+1/2,z | -mx,-my,-mz)1
16p(-y,x,z | my,-mx,-mz)1
16p(y,-x,z | -my,mx,-mz)1
16p(x,-y,-z | -mx,my,mz)1
16p(-x,y,-z | mx,-my,mz)1
16p(-x+1/2,-y+1/2,z | mx,my,-mz)1
16p(y+1/2,x+1/2,-z | -my,-mx,mz)1
16p(-y+1/2,-x+1/2,-z | my,mx,mz)1



Go to the operators of (PC4212)
Go to the extinction rules of (PC4212)



Back to the list of magnetic space groups derived from P422
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