Table of Magnetic Space Group Symbols

Bilbao Crystallographic Server

Table of Magnetic Space Group Symbols

Help

P_C4/n [#85.65] (Type: 4 -- Type IV (klassengleiche))

[OG: P_P4/m' #83.10.712]

Wyckoff Positions of Group 85.65 (P_C4/n)

Multiplicity

Wyckoff
letter

Coordinates

16

l

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

8

k

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

8

j

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

8

i

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

4

h

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

4

g

(3/4,3/4,z \| 0,0,m_z)	(1/4,1/4,-z \| 0,0,m_z)	(1/4,1/4,z \| 0,0,-m_z)
(3/4,3/4,-z \| 0,0,-m_z)

4

f

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

4

e

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

2

d

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

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

2

c

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

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

2

b

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

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

2

a

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

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

Site Symmetries of the Wyckoff Positions

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

List all the elements of the orbits

Go to the operators of (P_C4/n)
Go to the extinction rules of (P_C4/n)

Back to the list of magnetic space groups derived from P4/m
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