# Difference between revisions of "Primitive cell"

### From Online Dictionary of Crystallography

BrianMcMahon (talk | contribs) m (Style edits to align with printed edition) |
BrianMcMahon (talk | contribs) (Tidied translations and corrected German (U. Mueller)) |
||

Line 1: | Line 1: | ||

− | < | + | <font color="blue">Maille primitive ou simple</font> (''Fr''). <font color="red">Primitive Zelle</font> (''Ge''). <font color="black">Cella primitiva</font> (''It''). <font color="purple">単純単位胞、基本単位胞</font> (''Ja''). <font color="green">Celda primitiva</font> (''Sp''). |

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

## Revision as of 10:09, 17 November 2017

Maille primitive ou simple (*Fr*). Primitive Zelle (*Ge*). Cella primitiva (*It*). 単純単位胞、基本単位胞 (*Ja*). Celda primitiva (*Sp*).

## 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

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