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 R-3 (#148.17)
For this space group, BNS and OG settings coincide.
Its label in the OG setting is given as: R-3 (#148.1.1247)

Multiplicity

Wyckoff
letter

Coordinates

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

18

f

(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,-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)

9

e

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

9

d

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

6

c

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

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

3

b

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

3

a

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

Site Symmetries of the Wyckoff Positions

WP	Representative	Site symmetry
3a	(0,0,0 \| 0,0,m_z)	-3..
3b	(0,0,1/2 \| 0,0,m_z)	-3..
6c	(0,0,z \| 0,0,m_z)	3..
9d	(1/2,0,1/2 \| m_x,m_y,m_z)	-1
9e	(1/2,0,0 \| m_x,m_y,m_z)	-1
18f	(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 R-3 (#148.17)
Go to the Systematic absences for the Group R-3 (#148.17)

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