Atomic Packing factor for SC BCC FCC and HCP

Atomic packing factor (APF), packing effectiveness or packing fraction in crystallography is the volume fraction in a crystal structure occupied by constituent atoms. It's dimensionless and less than unity at all times. The APF is determined in nuclear structures by convention, assuming electrons are stiff fields. The spheres radius is taken as the maximum value so that the atoms are not overlapping. The packing fraction is depicted mathematically for single-component crystals (those containing only one sort of particle).

{ atomic packing factor for sc bcc fcc }

Where the number of particles in the unit cell is Nparticle, Vparticle is the volume of each particle and Vunit cell is the volume of the unit cell.

Mathematically, it can be proved that the densest structure of atoms for one-component buildings has an APF of about 0.74, acquired by the closely packed constructions. The APF may exceed 0.74 for multi-component constructions.

The atomic packing factor calculation expression is = (atom no) x (size of each atom) separated by (density of an atom)