Table of Magnetic Space Group Symbols

Bilbao Crystallographic Server

Table of Magnetic Space Group Symbols

Help

P_c4₂/mnm [#136.504] (Type: 4 -- Type IV (klassengleiche))

[OG: P_2c4'/mb'm #127.11.1063]

Wyckoff Positions of Group 136.504 (P_c4₂/mnm)

Multiplicity

Wyckoff
letter

Coordinates

32

l

(x,y,z \| m_x,m_y,m_z)	(-y+1/2,x+1/2,z+1/2 \| -m_y,m_x,m_z)	(y+1/2,-x+1/2,z+1/2 \| m_y,-m_x,m_z)
(x+1/2,-y+1/2,-z+1/2 \| m_x,-m_y,-m_z)	(-x+1/2,y+1/2,-z+1/2 \| -m_x,m_y,-m_z)	(-x,-y,z \| -m_x,-m_y,m_z)
(y,x,-z \| m_y,m_x,-m_z)	(-y,-x,-z \| -m_y,-m_x,-m_z)	(-x,-y,-z \| m_x,m_y,m_z)
(y+1/2,-x+1/2,-z+1/2 \| -m_y,m_x,m_z)	(-y+1/2,x+1/2,-z+1/2 \| m_y,-m_x,m_z)	(-x+1/2,y+1/2,z+1/2 \| m_x,-m_y,-m_z)
(x+1/2,-y+1/2,z+1/2 \| -m_x,m_y,-m_z)	(x,y,-z \| -m_x,-m_y,m_z)	(-y,-x,z \| m_y,m_x,-m_z)
(y,x,z \| -m_y,-m_x,-m_z)	(x,y,z+1/2 \| -m_x,-m_y,-m_z)	(-y+1/2,x+1/2,z \| m_y,-m_x,-m_z)
(y+1/2,-x+1/2,z \| -m_y,m_x,-m_z)	(x+1/2,-y+1/2,-z \| -m_x,m_y,m_z)	(-x+1/2,y+1/2,-z \| m_x,-m_y,m_z)
(-x,-y,z+1/2 \| m_x,m_y,-m_z)	(y,x,-z+1/2 \| -m_y,-m_x,m_z)	(-y,-x,-z+1/2 \| m_y,m_x,m_z)
(-x,-y,-z+1/2 \| -m_x,-m_y,-m_z)	(y+1/2,-x+1/2,-z \| m_y,-m_x,-m_z)	(-y+1/2,x+1/2,-z \| -m_y,m_x,-m_z)
(-x+1/2,y+1/2,z \| -m_x,m_y,m_z)	(x+1/2,-y+1/2,z \| m_x,-m_y,m_z)	(x,y,-z+1/2 \| m_x,m_y,-m_z)
(-y,-x,z+1/2 \| -m_y,-m_x,m_z)	(y,x,z+1/2 \| m_y,m_x,m_z)

16

k

(x,x,z \| m_x,-m_x,0)	(-x+1/2,x+1/2,z+1/2 \| m_x,m_x,0)	(x+1/2,-x+1/2,z+1/2 \| -m_x,-m_x,0)
(x+1/2,-x+1/2,-z+1/2 \| m_x,m_x,0)	(-x+1/2,x+1/2,-z+1/2 \| -m_x,-m_x,0)	(-x,-x,z \| -m_x,m_x,0)
(x,x,-z \| -m_x,m_x,0)	(-x,-x,-z \| m_x,-m_x,0)	(x,x,z+1/2 \| -m_x,m_x,0)
(-x+1/2,x+1/2,z \| -m_x,-m_x,0)	(x+1/2,-x+1/2,z \| m_x,m_x,0)	(x+1/2,-x+1/2,-z \| -m_x,-m_x,0)
(-x+1/2,x+1/2,-z \| m_x,m_x,0)	(-x,-x,z+1/2 \| m_x,-m_x,0)	(x,x,-z+1/2 \| m_x,-m_x,0)
(-x,-x,-z+1/2 \| -m_x,m_x,0)

16

j

(x,y,1/4 \| m_x,m_y,0)	(-y+1/2,x+1/2,3/4 \| -m_y,m_x,0)	(y+1/2,-x+1/2,3/4 \| m_y,-m_x,0)
(x+1/2,-y+1/2,1/4 \| m_x,-m_y,0)	(-x+1/2,y+1/2,1/4 \| -m_x,m_y,0)	(-x,-y,1/4 \| -m_x,-m_y,0)
(y,x,3/4 \| m_y,m_x,0)	(-y,-x,3/4 \| -m_y,-m_x,0)	(-x,-y,3/4 \| m_x,m_y,0)
(y+1/2,-x+1/2,1/4 \| -m_y,m_x,0)	(-y+1/2,x+1/2,1/4 \| m_y,-m_x,0)	(-x+1/2,y+1/2,3/4 \| m_x,-m_y,0)
(x+1/2,-y+1/2,3/4 \| -m_x,m_y,0)	(x,y,3/4 \| -m_x,-m_y,0)	(-y,-x,1/4 \| m_y,m_x,0)
(y,x,1/4 \| -m_y,-m_x,0)

16

i

(x,y,0 \| 0,0,m_z)	(-y+1/2,x+1/2,1/2 \| 0,0,m_z)	(y+1/2,-x+1/2,1/2 \| 0,0,m_z)
(x+1/2,-y+1/2,1/2 \| 0,0,-m_z)	(-x+1/2,y+1/2,1/2 \| 0,0,-m_z)	(-x,-y,0 \| 0,0,m_z)
(y,x,0 \| 0,0,-m_z)	(-y,-x,0 \| 0,0,-m_z)	(x,y,1/2 \| 0,0,-m_z)
(-y+1/2,x+1/2,0 \| 0,0,-m_z)	(y+1/2,-x+1/2,0 \| 0,0,-m_z)	(x+1/2,-y+1/2,0 \| 0,0,m_z)
(-x+1/2,y+1/2,0 \| 0,0,m_z)	(-x,-y,1/2 \| 0,0,-m_z)	(y,x,1/2 \| 0,0,m_z)
(-y,-x,1/2 \| 0,0,m_z)

8

h

(x,x,1/4 \| m_x,-m_x,0)	(-x+1/2,x+1/2,3/4 \| m_x,m_x,0)	(x+1/2,-x+1/2,3/4 \| -m_x,-m_x,0)
(x+1/2,-x+1/2,1/4 \| m_x,m_x,0)	(-x+1/2,x+1/2,1/4 \| -m_x,-m_x,0)	(-x,-x,1/4 \| -m_x,m_x,0)
(x,x,3/4 \| -m_x,m_x,0)	(-x,-x,3/4 \| m_x,-m_x,0)

8

g

(x,x,0 \| 0,0,0)	(-x+1/2,x+1/2,1/2 \| 0,0,0)	(x+1/2,-x+1/2,1/2 \| 0,0,0)
(-x,-x,0 \| 0,0,0)	(x,x,1/2 \| 0,0,0)	(-x+1/2,x+1/2,0 \| 0,0,0)
(x+1/2,-x+1/2,0 \| 0,0,0)	(-x,-x,1/2 \| 0,0,0)

8

f

(1/2,1/2,z \| 0,0,0)	(0,0,z+1/2 \| 0,0,0)	(0,0,-z+1/2 \| 0,0,0)
(1/2,1/2,-z \| 0,0,0)	(1/2,1/2,z+1/2 \| 0,0,0)	(0,0,z \| 0,0,0)
(0,0,-z \| 0,0,0)	(1/2,1/2,-z+1/2 \| 0,0,0)

8

e

(1/2,0,z \| 0,0,0)	(1/2,0,z+1/2 \| 0,0,0)	(0,1/2,-z+1/2 \| 0,0,0)
(0,1/2,-z \| 0,0,0)	(1/2,0,-z \| 0,0,0)	(1/2,0,-z+1/2 \| 0,0,0)
(0,1/2,z+1/2 \| 0,0,0)	(0,1/2,z \| 0,0,0)

4

d

(1/2,1/2,0 \| 0,0,0)	(0,0,1/2 \| 0,0,0)	(1/2,1/2,1/2 \| 0,0,0)
(0,0,0 \| 0,0,0)

4

c

(1/2,1/2,1/4 \| 0,0,0)	(0,0,3/4 \| 0,0,0)	(0,0,1/4 \| 0,0,0)
(1/2,1/2,3/4 \| 0,0,0)

4

b

(1/2,0,1/4 \| 0,0,0)	(1/2,0,3/4 \| 0,0,0)	(0,1/2,1/4 \| 0,0,0)
(0,1/2,3/4 \| 0,0,0)

4

a

(1/2,0,0 \| 0,0,0)	(1/2,0,1/2 \| 0,0,0)	(0,1/2,1/2 \| 0,0,0)
(0,1/2,0 \| 0,0,0)

Site Symmetries of the Wyckoff Positions

WP	Representative	PG
4a	(1/2,0,0 \| 0,0,0)	4'/m
4b	(1/2,0,1/4 \| 0,0,0)	4'/m'
4c	(1/2,1/2,1/4 \| 0,0,0)	mmm'
4d	(1/2,1/2,0 \| 0,0,0)	mmm
8e	(1/2,0,z \| 0,0,0)	4'
8f	(1/2,1/2,z \| 0,0,0)	mm2
8g	(x,x,0 \| 0,0,0)	mm2
8h	(x,x,1/4 \| m_x,-m_x,0)	m
16i	(x,y,0 \| 0,0,m_z)	m
16j	(x,y,1/4 \| m_x,m_y,0)	1
16k	(x,x,z \| m_x,-m_x,0)	m
32l	(x,y,z \| m_x,m_y,m_z)	1

List all the elements of the orbits

Go to the operators of (P_c4₂/mnm)
Go to the extinction rules of (P_c4₂/mnm)

Back to the list of magnetic space groups derived from P4₂/mnm
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