Difference between revisions of "Primitive basis"
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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'''. | 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'''. | ||
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| + | 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 == | == See also == | ||
Revision as of 10:31, 25 January 2009
Base primitive (Fr). Base primitiva (It)
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
- direct lattice
- primitive cell
- Sections 8.1 and 9.1 of International Tables of Crystallography, Volume A