Table of Magnetic Space Group Symbols

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Table of Magnetic Space Group Symbols

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P-3'1c' [#163.82] (Type: 3 -- Type III (translationgleiche))

[OG: P-3'1c' #163.4.1313]

Wyckoff Positions of Group 163.82 (P-3'1c')

Multiplicity

Wyckoff
letter

Coordinates

12

i

(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+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)
(-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+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

h

(x,-x,1/4 \| m_x,-m_x,0)	(x,2x,1/4 \| m_x,2m_x,0)	(-2x,-x,1/4 \| -2m_x,-m_x,0)
(-x,x,3/4 \| -m_x,m_x,0)	(-x,-2x,3/4 \| -m_x,-2m_x,0)	(2x,x,3/4 \| 2m_x,m_x,0)

6

g

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

4

f

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

4

e

(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

d

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

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

2

c

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

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

2

b

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

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

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 \| 0,0,0)	-3'
2c	(1/3,2/3,1/4 \| 0,0,0)	2
2d	(2/3,1/3,1/4 \| 0,0,0)	2
4e	(0,0,z \| 0,0,m_z)	3
4f	(1/3,2/3,z \| 0,0,m_z)	1
6g	(1/2,0,0 \| 0,0,0)	-1'
6h	(x,-x,1/4 \| m_x,-m_x,0)	2
12i	(x,y,z \| m_x,m_y,m_z)	1

List all the elements of the orbits

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