Table of Magnetic Space Group Symbols

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Table of Magnetic Space Group Symbols

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P_C4/m [#83.49] (Type: 4 -- Type IV (klassengleiche))

[OG: P_P4/m #83.7.709]

Wyckoff Positions of Group 83.49 (P_C4/m)

Multiplicity

Wyckoff
letter

Coordinates

16

l

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

8

k

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

8

j

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

8

i

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

4

h

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

4

g

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

4

f

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

4

e

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

2

d

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

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

2

c

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

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

2

b

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

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

2

a

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

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

Site Symmetries of the Wyckoff Positions

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

List all the elements of the orbits

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Go to the extinction rules of (P_C4/m)

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