International
Tables for
Crystallography
Volume C
Mathematical, physical and chemical tables
Edited by E. Prince

International Tables for Crystallography (2006). Vol. C. ch. 1.2, p. 8

Table 1.2.5.1 

E. Kocha

a Institut für Mineralogie, Petrologie und Kristallographie, Universität Marburg, Hans-Meerwein-Strasse, D-35032 Marburg, Germany

Table 1.2.5.1 | top | pdf |
Assignment of integers [s\le100] to pairs h, k with [s=h^2+k^2+hk]

Each pair h, k represents in addition the pairs k, −hk and −hk, h, the permutations of these three, and the six corresponding centrosymmetrical pairs.

s h k s h k s h k
1 1 0 31 5 1 67 7 2
3 1 1 36 6 0 73 8 1
4 2 0 37 4 3 75 5 5
7 2 1 39 5 2 76 6 4
9 3 0 43 6 1 79 7 3
12 2 2 48 4 4 81 9 0
13 3 1 49 7 0 84 8 2
16 4 0 5 3 91 9 1
19 3 2 52 6 2 6 5
21 4 1 57 7 1 93 7 4
25 5 0 61 5 4 97 8 3
27 3 3 63 6 3 100 10 0
28 4 2 64 8 0