View source for Primitive basis

<font color="blue">Base primitive</font> (''Fr''). <font color="red">Primitive Basis</font> (''Ge''). <font color="black">Base primitiva</font> (''It''). <font color="purple">単純基底</font> (''Ja'').  <font color="green">Base primitiva</font> (''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

[[Category:Fundamental crystallography]]