Difference between revisions of "Bravais arithmetic class"
From Online Dictionary of Crystallography
BrianMcMahon (talk  contribs) (Tidied translations and added Spanish (U. Mueller)) 
m (moved Bravais class to Bravais arithmetic class: Modified to comply with the new terminology in the 6th edition of ITA.) 
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Revision as of 15:39, 30 May 2019
Classe de Bravais (Fr). BravaisKlasse (Ge). Classe di Bravais (It). ブラベー類 (Ja). Clase de Bravais (Sp).
Definition
An arithmetic crystal class with matrix group of lattices is called a Bravais arithmetic crystal class, or Bravais class for short.
Each lattice is associated with a Bravais class, and each matrix group of a Bravais class represents the point group of a lattice referred to an appropriate primitive basis.
There exist 5 Bravais classes in two dimensions:
 2p
 2mmp
 2mmc
 4mmp
 6mmh
There exist 14 Bravais classes in three dimensions:
 [math]{\bar 1}[/math]P
 2/mP
 2/mS
 mmmP
 mmmS
 mmmI
 mmmF
 4/mmmP
 4/mmmI
 [math]{\bar 3}[/math]mR
 6/mmmP
 m[math]{\bar 3}[/math]mP
 m[math]{\bar 3}[/math]mI
 m[math]{\bar 3}[/math]mF
See also
 Bravais flock
 Chapter 1.3.4.3 of International Tables for Crystallography, Volume A, 6th edition