# Primitive cell

### From Online Dictionary of Crystallography

##### Revision as of 16:28, 10 April 2017 by MassimoNespolo (talk | contribs) (→See also: 6th edition of ITA)

Revision as of 16:28, 10 April 2017 by MassimoNespolo (talk | contribs) (→See also: 6th edition of ITA)

Maille primitive (*Fr*); Celda primitiva (*Sp*); Cella primitiva (*It*). 単純単位胞、基本単位胞 (*Ja*).

## Definition

A primitive cell is a unit cell built on the basis vectors of a primitive basis of the direct lattice, namely a crystallographic basis of the vector lattice **L** such that every lattice vector **t** of **L** may be obtained as an integral linear combination of the basis vectors, **a**, **b**, **c**.

It contains only one lattice point and its volume is equal to the triple scalar product (**a**, **b**, **c**).

*Non-primitive* bases are used conventionally to describe centred lattices. In that case, the unit cell is a multiple cell and it contains more than one lattice point. The multiplicity of the cell is given by the ratio of its volume to the volume of a primitive cell.

## See also

- crystallographic basis
- direct lattice
- unit cell
- conventional cell
- Section 1.3.2.4 of
*International Tables for Crystallography, Volume A*, 6^{th}edition