Wyckoff Positions of Magnetic Space Groups

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Wyckoff Positions of Magnetic Space Groups

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Wyckoff Positions of the Group P_c-6 (#174.136) [BNS setting]

To display the Wyckoff positions in the OG setting, please follow this link: P_2c-6 ( #174.4.1366)

Multiplicity

Wyckoff
letter

Coordinates

(0,0,0) + (0,0,1/2)' +

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,-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)

6

k

(x,y,1/4 \| m_x,m_y,0)	(-y,x-y,1/4 \| -m_y,m_x-m_y,0)
(-x+y,-x,1/4 \| -m_x+m_y,-m_x,0)

6

j

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

4

i

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

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

4

h

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

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

4

g

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

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

2

f

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

2

e

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

2

d

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

2

c

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

2

b

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

2

a

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

Site Symmetries of the Wyckoff Positions

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

List the original elements of the orbits
List all the elements of the orbits

Go to the list of the Symmetry Operators of the Group P_c-6 (#174.136)
Go to the Systematic absences for the Group P_c-6 (#174.136)

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