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 I-4m'2' (#119.319)
For this space group, BNS and OG settings coincide.
Its label in the OG setting is given as: I-4m'2' (#119.5.975)

Multiplicity

Wyckoff
letter

Coordinates

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

16

j

(x,y,z \| m_x,m_y,m_z)	(-x,-y,z \| -m_x,-m_y,m_z)
(y,x,-z \| -m_y,-m_x,m_z)	(-y,-x,-z \| m_y,m_x,m_z)
(y,-x,-z \| -m_y,m_x,m_z)	(-y,x,-z \| m_y,-m_x,m_z)
(-x,y,z \| -m_x,m_y,m_z)	(x,-y,z \| m_x,-m_y,m_z)

8

i

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

8

h

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

8

g

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

4

f

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

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

4

e

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

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

2

d

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

2

c

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

2

b

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

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)	-4m'2'
2b	(0,0,1/2 \| 0,0,m_z)	-4m'2'
2c	(0,1/2,1/4 \| 0,0,m_z)	-4m'2'
2d	(0,1/2,3/4 \| 0,0,m_z)	-4m'2'
4e	(0,0,z \| 0,0,m_z)	2m'm'.
4f	(0,1/2,z \| 0,0,m_z)	2m'm'.
8g	(x,x,0 \| m_x,-m_x,m_z)	..2'
8h	(x,x+1/2,1/4 \| m_x,-m_x,m_z)	..2'
8i	(x,0,z \| m_x,0,m_z)	.m'.
16j	(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 I-4m'2' (#119.319)
Go to the Systematic absences for the Group I-4m'2' (#119.319)

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