Unit Cell
Index
A unit cell is the smallest structural unit that exhibits the full structure of a crystal. The crystal structure has two components, a Bravais lattice and the basis (atom group) that is placed with identical orientation on each lattice point. 

The Bravais lattice (top diagram) is defined in terms of the primitive translation vectors, a, b, c, and the angles between them, a, b, g, and yields 14 different lattice structures that can be divided into 7 groups of the same symmetry. The basis can be a single atom or a group of atoms and must at least express the full chemistry of the material. The lower diagram shows the unit cell of an fcc material such as copper that has a basis of a single copper atom. For the fcc lattice: 
                a = b = c, and a = b = g = 900.

From: Callister, 
"Materials Science and Engineering," 
Wiley (1994)