# Crystallographic basis

(Difference between revisions)
 Revision as of 15:24, 17 March 2006 (view source)← Older edit Revision as of 04:52, 5 May 2006 (view source)Newer edit → Line 1: Line 1: - Base cristallographique (''Fr''). Base cristallografica (''It'') + Base cristallographique (''Fr''). Kristallographische Basis (''Ge''). Base cristallografica (''It'') == Definition == == Definition == - A basis of ''n'' vectors '''e1''', '''e2''', ... , '''en''' of the vector space '''Vn''' is a ''crystallographic basis'' of the vector lattice '''L''' if ''every'' integral linear combination '''t''' = ''u''1'''e1''' + ''u''2'''e2''' + ... + ''un'''''en''' is a lattice vector of '''L'''. + A basis of ''n'' vectors '''e1''', '''e2''', ... , '''en''' of the vector space '''Vn''' is a ''crystallographic basis'' of the vector lattice '''L''' if ''every'' integral linear combination '''t''' = ''u''1'''e1''' + ''u''2'''e2''' + ... + ''un'''''en''' is a lattice vector of '''L'''. It may or may not be a primitive basis. == See also == == See also ==

## Revision as of 04:52, 5 May 2006

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

## Definition

A basis of n vectors e1, e2, ... , en of the vector space Vn is a crystallographic basis of the vector lattice L if every integral linear combination t = u1e1 + u2e2 + ... + unen is a lattice vector of L. It may or may not be a primitive basis.