1.13: Bravais class
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:
- 2 p
- 2 mmp
- 2 mmc
- 4 mmp
- 6 mmh
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