# Difference between revisions of "Crystallographic basis"

### From Online Dictionary of Crystallography

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[[direct lattice]]<br> | [[direct lattice]]<br> | ||

− | + | Section 1.3.2.1 of ''International Tables of Crystallography, Volume A'', 6<sup>th</sup> edition | |

[[Category:Fundamental crystallography]]<br> | [[Category:Fundamental crystallography]]<br> |

## Revision as of 15:16, 10 April 2017

Base cristallographique (*Fr*). Kristallographische Basis (*Ge*). Base cristallografica (*It*)

## Definition

A basis of *n* vectors **e _{1}**,

**e**, ... ,

_{2}**e**of the vector space

_{n}**V**is a

^{n}*crystallographic basis*of the vector lattice

**L**if

*every*integral linear combination

**t**=

*u*

^{1}

**e**+

_{1}*u*

^{2}

**e**+ ... +

_{2}*u*

^{n}**e**is a lattice vector of

_{n}**L**. It may or may not be a primitive basis.

## See also

direct lattice

Section 1.3.2.1 of *International Tables of Crystallography, Volume A*, 6^{th} edition