Table of Magnetic Space Group Symbols

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Table of Magnetic Space Group Symbols

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P_c-6c2 [#188.220] (Type: 4 -- Type IV (klassengleiche))

[OG: P_2c-6'm'2 #187.7.1445]

Wyckoff Positions of Group 188.220 (P_c-6c2)

Multiplicity

Wyckoff
letter

Coordinates

24

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

12

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

12

m

(x,y,1/4 \| 0,0,m_z)	(-y,x-y,1/4 \| 0,0,m_z)	(-x+y,-x,1/4 \| 0,0,m_z)
(x,x-y,3/4 \| 0,0,-m_z)	(-x+y,y,3/4 \| 0,0,-m_z)	(-y,-x,3/4 \| 0,0,-m_z)
(x,y,3/4 \| 0,0,-m_z)	(-y,x-y,3/4 \| 0,0,-m_z)	(-x+y,-x,3/4 \| 0,0,-m_z)
(x,x-y,1/4 \| 0,0,m_z)	(-x+y,y,1/4 \| 0,0,m_z)	(-y,-x,1/4 \| 0,0,m_z)

12

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

6

k

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

6

j

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

4

i

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

4

h

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

4

g

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

2

f

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

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

2

e

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

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

2

d

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

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

2

c

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

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

2

b

(0,0,1/4 | 0,0,m_z)

(0,0,3/4 | 0,0,-m_z)

2

a

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

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

Site Symmetries of the Wyckoff Positions

WP	Representative	PG
2a	(0,0,0 \| 0,0,0)	-6'm'2
2b	(0,0,1/4 \| 0,0,m_z)	-6
2c	(1/3,2/3,0 \| 0,0,0)	m'm'2
2d	(1/3,2/3,1/4 \| 0,0,m_z)	m
2e	(2/3,1/3,0 \| 0,0,0)	m'm'2
2f	(2/3,1/3,1/4 \| 0,0,m_z)	m
4g	(0,0,z \| 0,0,m_z)	3
4h	(1/3,2/3,z \| 0,0,m_z)	1
4i	(2/3,1/3,z \| 0,0,m_z)	1
6j	(x,-x,0 \| m_x,-m_x,0)	2
6k	(x,-x,1/4 \| 0,0,m_z)	m
12l	(x,y,0 \| m_x,m_y,0)	1
12m	(x,y,1/4 \| 0,0,m_z)	m
12n	(x,-x,z \| m_x,-m_x,m_z)	1
24o	(x,y,z \| m_x,m_y,m_z)	1

List all the elements of the orbits

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