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

Pammm [#47.254] (Type: 4 -- Type IV (klassengleiche))

[OG: P2ammm #47.6.352]

Wyckoff Positions of Group 47.254 (Pammm)

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

Site Symmetries of the Wyckoff Positions

WPRepresentativePG
2a(0,0,0 | 0,0,0)mmm
2b(1/4,0,0 | 0,0,0)mmm'
2c(0,0,1/2 | 0,0,0)mmm
2d(1/4,0,1/2 | 0,0,0)mmm'
2e(0,1/2,0 | 0,0,0)mmm
2f(1/4,1/2,0 | 0,0,0)mmm'
2g(0,1/2,1/2 | 0,0,0)mmm
2h(1/4,1/2,1/2 | 0,0,0)mmm'
4i(x,0,0 | 0,0,0)mm2
4j(x,0,1/2 | 0,0,0)mm2
4k(x,1/2,0 | 0,0,0)mm2
4l(x,1/2,1/2 | 0,0,0)mm2
4m(0,y,0 | 0,0,0)mm2
4n(0,y,1/2 | 0,0,0)mm2
4o(1/4,y,0 | 0,0,mz)m
4p(1/4,y,1/2 | 0,0,mz)m
4q(0,0,z | 0,0,0)mm2
4r(0,1/2,z | 0,0,0)mm2
4s(1/4,0,z | 0,my,0)m
4t(1/4,1/2,z | 0,my,0)m
8u(0,y,z | mx,0,0)m
8v(1/4,y,z | 0,my,mz)1
8w(x,0,z | 0,my,0)m
8x(x,1/2,z | 0,my,0)m
8y(x,y,0 | 0,0,mz)m
8z(x,y,1/2 | 0,0,mz)m
16alpha(x,y,z | mx,my,mz)1

List all the elements of the orbits


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



Back to the list of magnetic space groups derived from Pmmm
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