Bravais arithmetic class
From Online Dictionary of Crystallography
(Difference between revisions)
m (moved Bravais class to Bravais arithmetic class: Modified to comply with the new terminology in the 6th edition of ITA.) |
(Modified to comply with the new terminology in the 6th edition of ITA.) |
||
Line 2: | Line 2: | ||
== Definition == | == Definition == | ||
- | An [[arithmetic crystal class]] with matrix group of lattices is called a ''Bravais arithmetic crystal class'' | + | An [[arithmetic crystal class]] with matrix group of lattices is called a ''Bravais arithmetic crystal class''. |
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. | 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. |
Revision as of 15:39, 30 May 2019
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.
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:
- P
- 2/mP
- 2/mS
- mmmP
- mmmS
- mmmI
- mmmF
- 4/mmmP
- 4/mmmI
- mR
- 6/mmmP
- mmP
- mmI
- mmF
See also
- Bravais flock
- Chapter 1.3.4.3 of International Tables for Crystallography, Volume A, 6th edition