# Lattice system

### From Online Dictionary of Crystallography

##### Revision as of 15:38, 23 February 2007 by MassimoNespolo (talk | contribs)

Système réticulaire (*Fr*). Sistema reticolare (*It*)

## Contents

## Definition

A **lattice system** of space groups contains complete Bravais flocks. All those Bravais flocks which intersect exactly the same set of geometric crystal classes belong to the same lattice system.

## Alternative definition

A **lattice system** of space groups contains complete Bravais flocks. 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.

## See also

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