# Difference between revisions of "Primitive cell"

### From Online Dictionary of Crystallography

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== See also == | == See also == | ||

− | |||

*[[crystallographic basis]] | *[[crystallographic basis]] | ||

*[[direct lattice]] | *[[direct lattice]] | ||

*[[unit cell]] | *[[unit cell]] | ||

*[[conventional cell]] | *[[conventional cell]] | ||

− | *Section | + | *Section 1.3.2.4 of ''International Tables for Crystallography, Volume A'', 6<sup>th</sup> edition |

[[Category:Fundamental crystallography]] | [[Category:Fundamental crystallography]] |

## Revision as of 16:28, 10 April 2017

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