# Difference between revisions of "Primitive cell"

### From Online Dictionary of Crystallography

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− | = | + | <Font color="blue"> Maille primitive </Font> (''Fr''). <Font color="green> Celda primitiva </Font>(''Sp''). <Font color="black"> Cella primitiva </Font>(''It'') |

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− | Maille primitive (''Fr''). Celda primitiva (''Sp'').<Font color="black"> Cella primitiva </Font>(''It'') | ||

== Definition == | == Definition == | ||

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[[crystallographic basis]]<br> | [[crystallographic basis]]<br> |

## Revision as of 05:02, 5 May 2006

Maille primitive (*Fr*). Celda primitiva (*Sp*). Cella primitiva (*It*)

## 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

Section 8.1 of *International Tables of Crystallography, Volume A*