Difference between revisions of "Bravais arithmetic class"

From Online Dictionary of Crystallography

m (Style edits to align with printed edition)
Line 31: Line 31:
== See also ==
== See also ==
*[[Bravais flock]]
*[[Bravais flock]]
*Chapter in of ''International Tables for Crystallography, Volume A'', 6th edition
*Chapter of ''International Tables for Crystallography, Volume A'', 6th edition
[[category: Fundamental crystallography]]
[[category: Fundamental crystallography]]

Revision as of 09:33, 13 May 2017

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


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