Bravais class
- Page ID
- 17890
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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:
- \({\bar 1}\)P
- 2/mP
- 2/mS
- mmmP
- mmmS
- mmmI
- mmmF
- 4/mmmP
- 4/mmmI
- \({\bar 3}\)mR
- 6/mmmP
- m\({\bar 3}\)mP
- m\({\bar 3}\)mI
- m\({\bar 3}\)mF