Wyckoff Positions of Space Groups

Wyckoff Positions of Group 166 (R -3 m) [r axes]

Multiplicity

Wyckoff
letter

Site
symmetry

Coordinates

12

i

1

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

6

h

.m

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

6

g

.2

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

6

f

.2

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

3

e

.2/m

(0, 1/2, 1/2)

(1/2, 0, 1/2)

(1/2, 1/2, 0)

3

d

.2/m

(1/2, 0, 0)

(0, 1/2, 0)

(0, 0, 1/2)

2

c

3m

(x, x, x)

( - x, - x, - x)

1

b

-3m

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

1

a

-3m

(0, 0, 0)

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

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