Difference between revisions of "Bravais arithmetic class"
From Online Dictionary of Crystallography
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| − | <font color="blue">Classe de Bravais</font> (''Fr''). < | + | <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).
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