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-6' (#174.135)
For this space group, BNS and OG settings coincide.
Its label in the OG setting is given as: P-6' (#174.3.1365)

Multiplicity

Wyckoff
letter

Coordinates

6

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)

3

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)

3

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)

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 | 0,0,0)

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	Site symmetry
1a	(0,0,0 \| 0,0,0)	-6'..
1b	(0,0,1/2 \| 0,0,0)	-6'..
1c	(1/3,2/3,0 \| 0,0,0)	-6'..
1d	(1/3,2/3,1/2 \| 0,0,0)	-6'..
1e	(2/3,1/3,0 \| 0,0,0)	-6'..
1f	(2/3,1/3,1/2 \| 0,0,0)	-6'..
2g	(0,0,z \| 0,0,m_z)	3..
2h	(1/3,2/3,z \| 0,0,m_z)	3..
2i	(2/3,1/3,z \| 0,0,m_z)	3..
3j	(x,y,0 \| m_x,m_y,0)	m'..
3k	(x,y,1/2 \| m_x,m_y,0)	m'..
6l	(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-6' (#174.135)
Go to the Systematic absences for the Group P-6' (#174.135)

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