Table of Magnetic Space Group Symbols

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Table of Magnetic Space Group Symbols

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P_c4₂/m [#84.56] (Type: 4 -- Type IV (klassengleiche))

[OG: P_2c4'/m #83.9.711]

Wyckoff Positions of Group 84.56 (P_c4₂/m)

Multiplicity

Wyckoff
letter

Coordinates

16

l

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

8

k

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

8

j

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

8

i

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

4

h

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

4

g

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

4

f

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

4

e

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

2

d

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

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

2

c

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

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

2

b

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

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

2

a

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

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

Site Symmetries of the Wyckoff Positions

WP	Representative	PG
2a	(0,0,0 \| 0,0,0)	4'/m
2b	(0,0,1/4 \| 0,0,0)	4'/m'
2c	(1/2,1/2,0 \| 0,0,0)	4'/m
2d	(1/2,1/2,1/4 \| 0,0,0)	4'/m'
4e	(0,1/2,0 \| 0,0,m_z)	2/m
4f	(0,1/2,1/4 \| 0,0,0)	2/m'
4g	(0,0,z \| 0,0,0)	4'
4h	(1/2,1/2,z \| 0,0,0)	4'
8i	(0,1/2,z \| 0,0,m_z)	2
8j	(x,y,0 \| 0,0,m_z)	m
8k	(x,y,1/4 \| 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_c4₂/m)
Go to the extinction rules of (P_c4₂/m)

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