Table of Magnetic Space Group Symbols

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Table of Magnetic Space Group Symbols

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P-6'm2' [#187.212] (Type: 3 -- Type III (translationgleiche))

[OG: P-6'm2' #187.4.1442]

Wyckoff Positions of Group 187.212 (P-6'm2')

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

6

m

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

6

l

(x,y,0 \| m_x,m_y,0)	(-y,x-y,0 \| -m_y,m_x-m_y,0)	(-x+y,-x,0 \| -m_x+m_y,-m_x,0)
(x,x-y,0 \| -m_x,-m_x+m_y,0)	(-x+y,y,0 \| m_x-m_y,-m_y,0)	(-y,-x,0 \| m_y,m_x,0)

3

k

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

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

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

3

j

(x,-x,0 | m_x,m_x,0)

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

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

2

i

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

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

2

h

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

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

2

g

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

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

1

f

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

1

e

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

1

d

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

1

c

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

1

b

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

1

a

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

Site Symmetries of the Wyckoff Positions

WP	Representative	PG
1a	(0,0,0 \| 0,0,0)	-6'm2'
1b	(0,0,1/2 \| 0,0,0)	-6'm2'
1c	(1/3,2/3,0 \| 0,0,0)	m'm2'
1d	(1/3,2/3,1/2 \| 0,0,0)	m'm2'
1e	(2/3,1/3,0 \| 0,0,0)	m'm2'
1f	(2/3,1/3,1/2 \| 0,0,0)	m'm2'
2g	(0,0,z \| 0,0,0)	3m
2h	(1/3,2/3,z \| 0,0,0)	m
2i	(2/3,1/3,z \| 0,0,0)	m
3j	(x,-x,0 \| m_x,m_x,0)	m
3k	(x,-x,1/2 \| m_x,m_x,0)	m
6l	(x,y,0 \| m_x,m_y,0)	1
6m	(x,y,1/2 \| m_x,m_y,0)	1
6n	(x,-x,z \| m_x,m_x,0)	m
12o	(x,y,z \| m_x,m_y,m_z)	1

List all the elements of the orbits

Go to the operators of (P-6'm2')
Go to the extinction rules of (P-6'm2')

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