View source for Crystallographic basis

<Font color="blue"> Base cristallographique </Font>(''Fr'').

== Definition ==

A basis of ''n'' vectors '''e<sub>1</sub>''', '''e<sub>2</sub>''', ... , '''e<sub>n</sub>''' of the vector space '''V<sup>n</sup>''' is a ''crystallographic basis'' of the vector lattice '''L''' if ''every'' integral linear combination '''t''' = ''u''<sup>1</sup>'''e<sub>1</sub>''' + ''u''<sup>2</sup>'''e<sub>2</sub>''' + ... + ''u<sup>n</sup>'''''e<sub>n</sub>''' is a lattice vector of '''L'''. 

== See also ==

[[direct lattice]]<br>
Section 8.1 of ''International Tables of Crystallography, Volume A''

----

[[Category:Fundamental crystallography]]<br>