# Difference between revisions of "Primitive cell"

### From Online Dictionary of Crystallography

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

− | [[crystallographic basis]]<br> | + | *[[crystallographic basis]]<br> |

− | [[direct lattice]] | + | *[[direct lattice]] |

− | + | *[[unit cell]] | |

− | [[unit cell]] | + | *Section 8.1 of ''International Tables of Crystallography, Volume A'' |

− | |||

− | Section 8.1 of ''International Tables of Crystallography, Volume A'' | ||

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

## Revision as of 08:37, 12 April 2007

Maille primitive (*Fr*). Celda primitiva (*Sp*). Cella primitiva (*It*). 単純内包 (*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
- Section 8.1 of
*International Tables of Crystallography, Volume A*