Table of Magnetic Space Group Symbols

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Table of Magnetic Space Group Symbols

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P_c31m [#157.56] (Type: 4 -- Type IV (klassengleiche))

[OG: P_2c31m #157.4.1287]

Wyckoff Positions of Group 157.56 (P_c31m)

Multiplicity

Wyckoff
letter

Coordinates

12

d

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

6

c

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

4

b

(1/3,2/3,z \| 0,0,m_z)	(2/3,1/3,z \| 0,0,-m_z)	(1/3,2/3,z+1/2 \| 0,0,-m_z)
(2/3,1/3,z+1/2 \| 0,0,m_z)

2

a

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

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

Site Symmetries of the Wyckoff Positions

WP	Representative	PG
2a	(0,0,z \| 0,0,0)	3m
4b	(1/3,2/3,z \| 0,0,m_z)	1
6c	(x,0,z \| m_x,2m_x,0)	m
12d	(x,y,z \| m_x,m_y,m_z)	1

List all the elements of the orbits

Go to the operators of (P_c31m)
Go to the extinction rules of (P_c31m)

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