Arun
Last Activity: 6 Years ago
consider the lattice constant as a and radius of atom as r , picturing the face diagonal, it would be equal to
a * sqrt 2 = 4r
r = a / 2 *sqrt(2)
now usually an fcc structure has 4 atoms as follows,
1/ 8 * 8 = 1 atom contribution from 8 corners.
½ * 6 = 3 atoms from 6 faces.
But if 1 atom is missing from 1 corner than no of atom consideration should be,
3 + 1/8 * 7 = 31/8
hence volume of 31/8 atoms
4/3 * pi * r^3 = 0.7176 a^3
hence emplty space is around 28.24 %