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 I4/m' (#87.78)
**87.78 I4/m' (UNI symbol)**

For this space group, BNS and OG settings coincide.
Its label in the OG setting is given as: I4/m' (#87.4.736)

Multiplicity

Wyckoff
letter

Coordinates

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

16

i

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

8

h

(x,y,0 \| m_x,m_y,0)	(-y,x,0 \| -m_y,m_x,0)
(y,-x,0 \| m_y,-m_x,0)	(-x,-y,0 \| -m_x,-m_y,0)

8

g

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

8

f

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

4

e

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

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

4

d

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

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

4

c

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

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

2

b

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

2

a

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

Site Symmetries of the Wyckoff Positions

WP	Representative	Site symmetry
2a	(0,0,0 \| 0,0,0)	4/m'..
2b	(0,0,1/2 \| 0,0,0)	4/m'..
4c	(0,1/2,0 \| 0,0,0)	2/m'..
4d	(0,1/2,1/4 \| 0,0,0)	-4'..
4e	(0,0,z \| 0,0,m_z)	4..
8f	(1/4,1/4,1/4 \| 0,0,0)	-1'
8g	(0,1/2,z \| 0,0,m_z)	2..
8h	(x,y,0 \| m_x,m_y,0)	m'..
16i	(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 I4/m' (#87.78)
Go to the Systematic absences for the Group I4/m' (#87.78)

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