Difference between revisions of "Bravais arithmetic class"

From Online Dictionary of Crystallography

(Tidied translations and added Spanish (U. Mueller))
Line 1: Line 1:
<font color="blue">Classe de Bravais</font> (''Fr''). <Font color="red"> Bravais Klasse</Font> (''Ge''). <Font color="black">Classe di Bravais </Font>(''It''). <Font color="purple"> ブラベー類</font>(''Ja'').
<font color="blue">Classe de Bravais</font> (''Fr''). <font color="red">Bravais-Klasse</font> (''Ge''). <font color="black">Classe di Bravais</font> (''It''). <font color="purple">ブラベー類</font> (''Ja''). <font color="green">Clase de Bravais</font> (''Sp'').
== Definition ==
== Definition ==

Revision as of 16:42, 9 November 2017

Classe de Bravais (Fr). Bravais-Klasse (Ge). Classe di Bravais (It). ブラベー類 (Ja). Clase de Bravais (Sp).


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 of International Tables for Crystallography, Volume A, 6th edition