# Lattice system

A **lattice system** of space

All those Bravais flocks belong to the same lattice system for which the Bravais classes belong to the same (holohedral) geometric crystal class.

### Lattice systems in two and three dimensions

In the two-dimensional space there exist four lattice systems:

- monoclinic
- orthorhombic
- tetragonal
- hexagonal

In the three-dimensional space there exist seven lattice systems:

- triclinic
- monoclinic
- orthorhombic
- tetragonal
- rhombohedral
- hexagonal
- cubic

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.

### Note

In previous editions of Volume A of the International Tables of Crystallography (before 2002), the lattice systems were called *Bravais systems*.

### See also

Section 8.2.8 in of *International Tables of Crystallography, Volume A*