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Difference between revisions of "Primitive basis"

From Online Dictionary of Crystallography

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<Font color="blue"> Base primitive </Font> (''Fr''). <Font color="black"> Base primitiva </Font>(''It'')
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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'''.
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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 ==
  
[[direct lattice]]<br>
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*[[Crystallographic basis]]
Sections 8.1 and 9.1 of ''International Tables of Crystallography, Volume A''
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*[[Direct lattice]]
 
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*[[Primitive cell]]
----
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*[[Reduced cell]]
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*Chapter 1.3.2.4 of ''International Tables for Crystallography, Volume A'', 6th edition
  
[[Category:Fundamental crystallography]]<br>
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[[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