p31m 3m Hexagonalinfo
No. 15 p31m Patterson symmetry p6mm

symmetry group diagram

Origin at 3 1 m

Asymmetric unit 0 ≤ x ≤ 2/3; 0 ≤ y ≤ 1/2; x ≤ (1 + y)/2; y ≤ min(1 - xx)
Vertices
0, 0  1/2, 0  2/31/3  1/21/2  

Symmetry operations

(1)  1   (2)  3+   0, 0(3)  3-   0, 0
(4)  m   xx(5)  m   x, 0(6)  m   0, y

Generators selected (1); t(1, 0); t(0, 1); (2); (4)

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions

 General:
6 d 1
(1) xy(2) -yx - y(3) -x + y-x
(4) yx(5) x - y-y(6) -x-x + y
no conditions
    Special: as above, plus
3 c  . . m 
x, 0 0, x -x-x
no extra conditions
2 b  3 . . 
1/32/3 2/31/3
no extra conditions
1 a  3 . m 
0, 0
no extra conditions








































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