Table of Magnetic Space Group Symbols

Bilbao Crystallographic Server

Table of Magnetic Space Group Symbols

Help

P_I-42c [#112.266] (Type: 4 -- Type IV (klassengleiche))

[OG: I_P-4'2m' #121.8.992]

Wyckoff Positions of Group 112.266 (P_I-42c)

Multiplicity

Wyckoff
letter

Coordinates

16

j

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

8

i

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

8

h

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

8

g

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

8

f

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

4

e

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

4

d

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

4

c

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

2

b

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

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

2

a

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

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

Site Symmetries of the Wyckoff Positions

WP	Representative	PG
2a	(1/2,0,3/4 \| 0,0,0)	-4'2m'
2b	(1/2,0,1/4 \| 0,0,0)	-4'2m'
4c	(1/2,1/2,3/4 \| 0,0,0)	222
4d	(1/2,1/2,0 \| 0,0,m_z)	-4
4e	(1/2,0,z \| 0,0,m_z)	2
8f	(x,0,3/4 \| m_x,0,0)	2
8g	(x,0,1/4 \| m_x,0,0)	2
8h	(1/2,1/2,z \| 0,0,m_z)	2
8i	(x,x+1/2,z \| m_x,m_x,m_z)	1
16j	(x,y,z \| m_x,m_y,m_z)	1

List all the elements of the orbits

Go to the operators of (P_I-42c)
Go to the extinction rules of (P_I-42c)

Back to the list of magnetic space groups derived from I-42m
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