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Bravais Lattices

In a three dimensional lattice point group symmetry dictates that there be fourteen different lattice types which in turn can be grouped into seven crystal systems.

Triclinic & a \ne b \ne c & \;\;\;\; \alpha \ne \beta \ne \gam...
... \ne c & \;\;\;\; \alpha = \beta = 90^{0}, \;\;\gamma = 120^{0}

a, b, c are the crystal axes (i.e. the sides of the unit cell, not necessarily primitive) and

& & \alpha,\beta,\gamma
\end{eqnarray*} are the angles opposite to a, b, c respectively.

Abhijit Poddar