Types of Lattices r 1 r 2 Double cell r 1 r 2 r 1 r 2 Primitive cell Triple cell •When repeated by successive translations reproduce periodic pattern. •Multiple cells are usually selected to make obvious the higher symmetry (usually rotational symmetry) that is possessed by the lattice, which may not be immediately evident from primitive cell. 1 Types of Lattices Lattices are either: 1. Primitive (or Simple): one lattice point per unit cell. 2. Non-primitive, (or Multiple) e.g. double, triple, etc.: more than one lattice point per unit cell. N e = number of lattice points on cell edges (shared by 4 cells) 4 N e e =edge