Table of Magnetic Space Group Symbols

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Table of Magnetic Space Group Symbols

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P-3c1 [#165.91] (Type: 1 -- Type I (Fedorov))

[OG: P-3c1 #165.1.1322]

Wyckoff Positions of Group 165.91 (P-3c1)

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

6

f

(x,0,1/4 \| m_x,0,0)	(0,x,1/4 \| 0,m_x,0)	(-x,-x,1/4 \| -m_x,-m_x,0)
(-x,0,3/4 \| m_x,0,0)	(0,-x,3/4 \| 0,m_x,0)	(x,x,3/4 \| -m_x,-m_x,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_y,-m_z)	(0,1/2,1/2 \| m_y,m_x,-m_z)	(1/2,1/2,1/2 \| -m_x,-m_x+m_y,-m_z)

4

d

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

4

c

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

2

b

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

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

2

a

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

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

Site Symmetries of the Wyckoff Positions

WP	Representative	PG
2a	(0,0,1/4 \| 0,0,0)	32
2b	(0,0,0 \| 0,0,m_z)	-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	(x,0,1/4 \| m_x,0,0)	2
12g	(x,y,z \| m_x,m_y,m_z)	1

List all the elements of the orbits

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