Packing fraction in BCC lattice is — Solid State Chemistry Question

💡 Solution & Explanation

In a BCC lattice, $a = \frac{4r}{\sqrt{3}}$. Packing fraction = $\frac{2 \times \frac{4}{3}\pi r^3}{a^3} = \frac{\frac{8}{3}\pi r^3}{\frac{64r^3}{3\sqrt{3}}} = \frac{8\pi \times 3\sqrt{3}}{3 \times 64} = \frac{\sqrt{3}\pi}{8}$. Therefore, correct answer is C.