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. 9

Table 1.2.6.1 

E. Kocha

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

Table 1.2.6.1| top | pdf |
Assignment of integers [s\le 100] to triplets h, k, l with [s=h^2+k^2+l^2]

Each triplet represents all 48 triplets resulting from permutations and sign combinations.

shk lshk lshk lshk lshk lshk l
1 1 0 0 25 5 0 0 42 5 4 1 59 7 3 1 74 8 3 1 88 6 6 4
2 1 1 0 4 3 0 43 5 3 3 5 5 3 7 5 0 89 9 2 2
3 1 1 1 26 5 1 0 44 6 2 2 61 6 5 0 7 4 3 8 5 0
4 2 0 0 4 3 1 45 6 3 0 6 4 3 75 7 5 1 8 4 3
5 2 1 0 27 5 1 1 5 4 2 62 7 3 2 5 5 5 7 6 2
6 2 1 1 3 3 3 46 6 3 1 6 5 1 76 6 6 2 90 9 3 0
8 2 2 0 29 5 2 0 48 4 4 4 64 8 0 0 77 8 3 2 8 5 1
9 3 0 0 4 3 2 49 7 0 0 65 8 1 0 6 5 4 7 5 4
2 2 1 30 5 2 1 6 3 2 7 4 0 78 7 5 2 91 9 3 1
10 3 1 0 32 4 4 0 50 7 1 0 6 5 2 80 8 4 0 93 8 5 2
11 3 1 1 33 5 2 2 5 5 0 66 8 1 1 81 9 0 0 94 9 3 2
12 2 2 2 4 4 1 5 4 3 7 4 1 8 4 1 7 6 3
13 3 2 0 34 5 3 0 51 7 1 1 5 5 4 7 4 4 96 8 4 4
14 3 2 1 4 3 3 5 5 1 67 7 3 3 6 6 3 97 9 4 0
16 4 0 0 35 5 3 1 52 6 4 0 68 8 2 0 82 9 1 0 6 6 5
17 4 1 0 36 6 0 0 53 7 2 0 6 4 4 8 3 3 98 9 4 1
3 2 2 4 4 2 6 4 1 69 8 2 1 83 9 1 1 8 5 3
18 4 1 1 37 6 1 0 54 7 2 1 7 4 2 7 5 3 7 7 0
3 3 0 38 6 1 1 6 3 3 70 6 5 3 84 8 4 2 99 9 3 3
19 3 3 1 5 3 2 5 5 2 72 8 2 2 85 9 2 0 7 7 1
20 4 2 0 40 6 2 0 56 6 4 2 6 6 0 7 6 0 7 5 5
21 4 2 1 41 6 2 1 57 7 2 2 73 8 3 0 86 9 2 1 100 10 0 0
22 3 3 2 5 4 0 5 4 4 6 6 1 7 6 1 8 6 0
24 4 2 2 4 4 3 58 7 3 0       6 5 5