Menu
Prev
Next
The Structure of Solids
Unit Cells

· The choice of a cell is arbitrary. Several different cells could be replicated throughout space to generate a given lattice. This is shown opposite for a two dimensional lattice. A is the cell of choice as it exhibits the highest symmetry.

From: Callister, "Materials Science & Engineering," Wiley (1997), and Blakemore, "Solid State Physics," Saunders (1974)
· In three dimensions, the Unit cell is described by three unit vectors (a, b, c) and three angles (α, β, γ).
· By convention, when selecting the sides of the unit cell: a < b < c with a the shortest vector linking lattice points and b the next shortest vector, etc..