# Difference between revisions of "Primitive basis"

### From Online Dictionary of Crystallography

BrianMcMahon (talk | contribs) (Tidied translations and added German and Spanish (U. Mueller)) |
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*[[Direct lattice]] | *[[Direct lattice]] | ||

*[[Primitive cell]] | *[[Primitive cell]] | ||

+ | *[[Reduced cell]] | ||

*Chapter 1.3.2.4 of ''International Tables for Crystallography, Volume A'', 6th edition | *Chapter 1.3.2.4 of ''International Tables for Crystallography, Volume A'', 6th edition | ||

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

## Latest revision as of 15:52, 18 December 2017

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