Difference between revisions of "Primitive basis"
From Online Dictionary of Crystallography
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| − | < | + | <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 == | == 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'''. | 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 == | == 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]] | + | [[Category:Fundamental crystallography]] |
Latest revision as of 15:52, 18 December 2017
Base primitive (Fr). Primitive Basis (Ge). Base primitiva (It). 単純基底 (Ja). Base primitiva (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