Table of Magnetic Space Group Symbols

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Table of Magnetic Space Group Symbols

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P-3m'1 [#164.89] (Type: 3 -- Type III (translationgleiche))

[OG: P-3m'1 #164.5.1319]

Wyckoff Positions of Group 164.89 (P-3m'1)

Multiplicity

Wyckoff
letter

Coordinates

12

j

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

6

i

(x,-x,z \| m_x,-m_x,m_z)	(x,2x,z \| m_x,2m_x,m_z)	(-2x,-x,z \| -2m_x,-m_x,m_z)
(2x,x,-z \| -2m_x,-m_x,m_z)	(-x,x,-z \| m_x,-m_x,m_z)	(-x,-2x,-z \| m_x,2m_x,m_z)

6

h

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

6

g

(x,0,0 \| m_x,2m_x,m_z)	(0,x,0 \| -2m_x,-m_x,m_z)	(-x,-x,0 \| m_x,-m_x,m_z)
(-x,0,0 \| m_x,2m_x,m_z)	(0,-x,0 \| -2m_x,-m_x,m_z)	(x,x,0 \| m_x,-m_x,m_z)

3

f

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

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

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

3

e

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

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

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

2

d

(1/3,2/3,z | 0,0,m_z)

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

2

c

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

(0,0,-z | 0,0,m_z)

1

b

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

1

a

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

Site Symmetries of the Wyckoff Positions

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

List all the elements of the orbits

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