p4 4 Squareinfo
No. 10 p4 Patterson symmetry p4

symmetry group diagram

Origin at 4

Asymmetric unit 0 ≤ x ≤ 1/2; 0 ≤ y ≤ 1/2

Symmetry operations

(1)  1   (2)  2   0, 0(3)  4+   0, 0(4)  4-   0, 0

Generators selected (1); t(1, 0); t(0, 1); (2); (3)

Positions

Multiplicity, Wyckoff letter,
Site symmetry		 Coordinates Reflection conditions
 General:
4 d 1
(1) x, y(2) -x, -y(3) -y, x(4) y, -x
no conditions
    Special: as above, plus
2 c  2 . . 
1/2, 0 0, 1/2
hk : h + k = 2n
1 b  4 . . 
1/2, 1/2
no extra conditions
1 a  4 . . 
0, 0
no extra conditions

Maximal non-isomorphic subgroups

I[2] p2 (2)1; 2
IIa none
IIbnone

Maximal isomorphic subgroups of lowest index

IIc[2] c4 (a' = 2a, b' = 2b) (p4, 10)

Minimal non-isomorphic supergroups

I[2] p4mm (11); [2] p4gm (12)
IInone








































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