Bravais class

From Online Dictionary of Crystallography

Classe de Bravais (Fr). Bravais klass (Ge). Classe di Bravais (It). ブラベークラス(Ja)

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:

• P
• 2/mP
• 2/mS
• mmmP
• mmmS
• mmmI
• mmmF
• 4/mmmP
• 4/mmmI
• mR
• 6/mmmP
• mmP
• mmI
• mmF

See also

Section 8.2.5 in of International Tables of Crystallography, Volume A