Table of Magnetic Space Group Symbols

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Table of Magnetic Space Group Symbols

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P-6m'2' [#187.213] (Type: 3 -- Type III (translationgleiche))

[OG: P-6m'2' #187.5.1443]

Wyckoff Positions of Group 187.213 (P-6m'2')

Multiplicity

Wyckoff
letter

Coordinates

12

o

(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,-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,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

n

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

6

m

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

6

l

(x,y,0 \| 0,0,m_z)	(-y,x-y,0 \| 0,0,m_z)	(-x+y,-x,0 \| 0,0,m_z)
(x,x-y,0 \| 0,0,m_z)	(-x+y,y,0 \| 0,0,m_z)	(-y,-x,0 \| 0,0,m_z)

3

k

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

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

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

3

j

(x,-x,0 | 0,0,m_z)

(x,2x,0 | 0,0,m_z)

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

2

i

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

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

2

h

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

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

2

g

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

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

1

f

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

1

e

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

1

d

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

1

c

(1/3,2/3,0 | 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)	-6
1b	(0,0,1/2 \| 0,0,m_z)	-6
1c	(1/3,2/3,0 \| 0,0,m_z)	m
1d	(1/3,2/3,1/2 \| 0,0,m_z)	m
1e	(2/3,1/3,0 \| 0,0,m_z)	m
1f	(2/3,1/3,1/2 \| 0,0,m_z)	m
2g	(0,0,z \| 0,0,m_z)	3
2h	(1/3,2/3,z \| 0,0,m_z)	1
2i	(2/3,1/3,z \| 0,0,m_z)	1
3j	(x,-x,0 \| 0,0,m_z)	m
3k	(x,-x,1/2 \| 0,0,m_z)	m
6l	(x,y,0 \| 0,0,m_z)	m
6m	(x,y,1/2 \| 0,0,m_z)	m
6n	(x,-x,z \| m_x,-m_x,m_z)	1
12o	(x,y,z \| m_x,m_y,m_z)	1

List all the elements of the orbits

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