Table of Magnetic Space Group Symbols

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Table of Magnetic Space Group Symbols

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P_c-3 [#147.16] (Type: 4 -- Type IV (klassengleiche))

[OG: P_2c-3 #147.4.1246]

Wyckoff Positions of Group 147.16 (P_c-3)

Multiplicity

Wyckoff
letter

Coordinates

12

g

(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,-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,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,-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)

6

f

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

6

e

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

4

d

(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)

4

c

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

2

b

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

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

2

a

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

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

Site Symmetries of the Wyckoff Positions

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

List all the elements of the orbits

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