Wyckoff Positions of Space Groups

Wyckoff Positions of Group 71 (I m m m)

Multiplicity

Wyckoff
letter

Site
symmetry

Coordinates

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

16

o

1

(x, y, z)	( - x, - y, z)	( - x, y, - z)	(x, - y, - z)
( - x, - y, - z)	(x, y, - z)	(x, - y, z)	( - x, y, z)

8

n

..m

(x, y, 0)

( - x, - y, 0)

( - x, y, 0)

(x, - y, 0)

8

m

.m.

(x, 0, z)

( - x, 0, z)

( - x, 0, - z)

(x, 0, - z)

8

l

m..

(0, y, z)

(0, - y, z)

(0, y, - z)

(0, - y, - z)

8

k

-1

(1/4, 1/4, 1/4)

(3/4, 3/4, 1/4)

(3/4, 1/4, 3/4)

(1/4, 3/4, 3/4)

4

j

mm2

(1/2, 0, z)

(1/2, 0, - z)

4

i

mm2

(0, 0, z)

(0, 0, - z)

4

h

m2m

(0, y, 1/2)

(0, - y, 1/2)

4

g

m2m

(0, y, 0)

(0, - y, 0)

4

f

2mm

(x, 1/2, 0)

( - x, 1/2, 0)

4

e

2mm

(x, 0, 0)

( - x, 0, 0)

2

d

mmm

(1/2, 0, 1/2)

2

c

mmm

(1/2, 1/2, 0)

2

b

mmm

(0, 1/2, 1/2)

2

a

mmm

(0, 0, 0)

If you want to see the Wyckoff position in other setting, click here

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