Table of Magnetic Space Group Symbols

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Table of Magnetic Space Group Symbols

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P-6'2'm [#189.223] (Type: 3 -- Type III (translationgleiche))

[OG: P-6'2'm #189.3.1453]

Wyckoff Positions of Group 189.223 (P-6'2'm)

Multiplicity

Wyckoff
letter

Coordinates

12

l

(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,-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,-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)

6

k

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

6

j

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

6

i

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

4

h

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

3

g

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

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

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

3

f

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

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

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

2

e

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

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

2

d

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

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

2

c

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

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

List all the elements of the orbits

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Go to the extinction rules of (P-6'2'm)

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