# Primitive basis

### 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)

Base primitive (*Fr*); Base primitiva (*It*); 単純基底 (*Ja*).

## Definition

A primitive basis is 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**.

In mathematics, a primitive basis is often called a *lattice basis*, whereas in crystallography the latter has a more general meaning and corresponds to a crystallographic basis.

## See also

- direct lattice
- primitive cell
- Section 1.3.2.4 of
*International Tables of Crystallography, Volume A*, 6^{th}edition