By Team Aakash Byju's
Atomic Packing Factor (APF) is mathematically defined as:
APF = (Volume taken by atoms)/(total volume) = (Natoms Vatoms)/Vunit cell Where N is the number and V is the volume of atoms.
Did you know APF for a Simple Cubic structure is 52%.
But how?
The simple cubic structure has a cube and spheres and it looks something like this:
We know that -
– the volume of a cube is Vcube = a3 where a is the length of each side and – the volume of each sphere with radius r is given as Vsphere
Since the lattice parameter for a simple cubic cell is just twice the radius a = 2r and substituting this, we get
Further, each corner in the structure is shared with 8 cells and each of the 8 atoms contributes ⅛ of its total volume.
Therefore,