From Online Dictionary of Crystallography
Système réticulaire (Fr). Gittersystem (Ge). Sistema reticolare (It). 格子系 (Ja).
A lattice system of space groups contains complete Bravais classes. All those Bravais classes belong to the same lattice system for which the Bravais arithmetic classes belong to the same (holohedral) geometric crystal class.
Lattice systems in two and three dimensions
In two-dimensional space there exist four lattice systems:
In three-dimensional space there exist seven lattice systems:
Note that the adjective trigonal refers to a crystal system, not to a lattice system. Rhombohedral crystals belong to the trigonal crystal system, but trigonal crystals may belong to the rhombohedral or to the hexagonal lattice system.
In previous editions of Volume A of International Tables of Crystallography (before 2002), the lattice systems were called Bravais systems.
- Bravais class
- Chapter 188.8.131.52.2 of International Tables for Crystallography, Volume A, 6th edition