Calculate the efficiency of packing in case of a metal crystal for
body-centred cubic
Let us assume the edge length or the side of the cube = a
And the radius of each particle = r
The diagonal of a cube is always a
The relation between radius and the edge will be = 4r
Divide by root 3 we get, A
Total number of atoms in body centered cubic
Number of atoms at the corner
Number of atoms at the centre = 1
Total number of atoms = 2
The volume of the cubic unit cell
= side3
= a3
The volume of the occupied space
Packing efficiency
= 68%