Wyckoff Positions of Space Groups

Wyckoff Positions of Group 162 (P -3 1 m)

Multiplicity

Wyckoff
letter

Site
symmetry

Coordinates

12

l

1

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

6

k

..m

(x, 0, z)	(0, x, z)	( - x, - x, z)	(0, - x, - z)
( - x, 0, - z)	(x, x, - z)

6

j

..2

(x, - x, 1/2)	(x, 2x, 1/2)	( - 2x, - x, 1/2)	( - x, x, 1/2)
( - x, - 2x, 1/2)	(2x, x, 1/2)

6

i

..2

(x, - x, 0)	(x, 2x, 0)	( - 2x, - x, 0)	( - x, x, 0)
( - x, - 2x, 0)	(2x, x, 0)

4

h

3..

(1/3, 2/3, z)

(1/3, 2/3, - z)

(2/3, 1/3, - z)

(2/3, 1/3, z)

3

g

..2/m

(1/2, 0, 1/2)

(0, 1/2, 1/2)

(1/2, 1/2, 1/2)

3

f

..2/m

(1/2, 0, 0)

(0, 1/2, 0)

(1/2, 1/2, 0)

2

e

3.m

(0, 0, z)

(0, 0, - z)

2

d

3.2

(1/3, 2/3, 1/2)

(2/3, 1/3, 1/2)

2

c

3.2

(1/3, 2/3, 0)

(2/3, 1/3, 0)

1

b

-3.m

(0, 0, 1/2)

1

a

-3.m

(0, 0, 0)

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

[Main Menu]
[Table] [GENPOS] [WYCKPOS] [MAXSUB] [MINSUP] [WYCKSPLIT] [SUBGROUPGRAPH] [KVEC] [REPRES] [COREL]

For comments, please mail to cryst@wm.lc.ehu.es