The packing efficiency is the fraction of the crystal (or unit cell) actually occupied by the atoms. It must always be less than 100% because it is impossible to pack spheres (atoms are usually spherical) without having some empty space between them.
P.E. = (volume of spheres within the unit cell) / (volume of cell)
A. Side by side structure
1. Simple cubic
Simple cubic (sc) is the simplest and often is observed for metals where too close packing encounters greater repulsion of cations. In the unit cell below, the atoms at the corners are cut because only a portion (in this case 1/8) belongs to that cell. The rest of the atom belongs to neighboring cells.



