Table of Magnetic Space Group Symbols

Bilbao Crystallographic Server

Table of Magnetic Space Group Symbols

Help

I4/m'c'm' [#140.549] (Type: 3 -- Type III (translationgleiche))

[OG: I4/m'c'm' #140.9.1204]

Wyckoff Positions of Group 140.549 (I4/m'c'm')

Multiplicity

Wyckoff
letter

Coordinates

(0,0,0) +(1/2,1/2,1/2) +

32

m

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

l

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

16

k

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

16

j

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

16

i

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

8

h

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

8

g

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

8

f

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

8

e

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

4

d

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

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

4

c

(0,0,0 | 0,0,0)

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

4

b

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

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

4

a

(0,0,1/4 | 0,0,0)

(0,0,3/4 | 0,0,0)

Site Symmetries of the Wyckoff Positions

WP	Representative	PG
4a	(0,0,1/4 \| 0,0,0)	422
4b	(0,1/2,1/4 \| 0,0,0)	-4'2m'
4c	(0,0,0 \| 0,0,0)	4/m'
4d	(0,1/2,0 \| 0,0,0)	m'm'm'
8e	(1/4,1/4,1/4 \| 0,0,0)	2/m'
8f	(0,0,z \| 0,0,m_z)	4
8g	(0,1/2,z \| 0,0,m_z)	2
8h	(x,x+1/2,0 \| m_x,m_x,0)	2
16i	(x,x,1/4 \| m_x,m_x,0)	2
16j	(x,0,1/4 \| m_x,0,0)	2
16k	(x,y,0 \| m_x,m_y,0)	1
16l	(x,x+1/2,z \| m_x,m_x,m_z)	1
32m	(x,y,z \| m_x,m_y,m_z)	1

List all the elements of the orbits

Go to the operators of (I4/m'c'm')
Go to the extinction rules of (I4/m'c'm')

Back to the list of magnetic space groups derived from I4/mcm
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