Question

Total volume of atoms present in a face-center cubic unit cell of a metals (r is atomic radius)

• A. $\frac{20}{3}\pi r^{3}$
• B. $\frac{24}{3}$pr3
• C. $\frac{12}{3}$pr3
• D. $\frac{16}{3}$pr3

Answer 1

Answer: (D)

$\frac{16}{3}$pr3

Answer 2

In case of a face-centerd cubic structure, since four atoms are present in a unit cell, hence volume.

V = 4$\left( \frac{4}{3}\pi r^{3} \right) = \frac{16}{3}\pi r^{3}$