International
Tables for
Crystallography
Volume A
Space-group symmetry
Edited by Th. Hahn

© International Union of Crystallography 2006
International Tables for Crystallography (2006). Vol. A. ch. 8.1, p. 720

Table 8.1.1.1 

H. Wondratscheka*

a Institut für Kristallographie, Universität, D-76128 Karlsruhe, Germany
Correspondence e-mail: hans.wondratschek@physik.uni-karlsruhe.de

Table 8.1.1.1 | top | pdf |
Number of crystallographic classes for dimensions 1 to 6

The numbers are those of the affine equivalence classes. The numbers for the enantiomorphic pairs are given in parentheses preceded by a + sign (Souvignier, 2003[link]).

Dimension of space Crystal families Lattice (Bravais) types (Geometric) crystal classes Arithmetic crystal classes Space-group types
1 1 1 2 2 2
2 4 5 10 13 17
3 6 14 32 73 (+11) 219
4 (+6) 23 (+10) 64 (+44) 227 (+70) 710 (+111) 4783
5 32 189 955 6079 222018
6 91 841 7104 (+30) 85311 (+7052) 28927922