# Primitive basis

### From Online Dictionary of Crystallography

Base primitive (*Fr*). Primitive Basis (*Ge*). Base primitiva (*It*). 単純基底 (*Ja*). Base primitiva (*Sp*).

## 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

- Crystallographic basis
- Direct lattice
- Primitive cell
- Reduced cell
- Chapter 1.3.2.4 of
*International Tables for Crystallography, Volume A*, 6th edition