Cubic lattice structure

In figure

All three structures have different primitive cells, but the same cubic unit cell. We will generally work with unit cells.

 

For example, Figure given below illustrates the packing of spheres in a face-centered cubic cell of side a, such that the nearest neighbors touch. The dimension a for a cubic unit cell is called the lattice constant. For the fee lattice the nearest neighbor distance is one-half the diagonal of a face, or . Therefore, for the atom centered on the face to just touch the atoms at each corner of the face, the radius of the sphere must be one-half the nearest neighbor distance,