What is the atomic radius of magnesium? — Solid State Chemistry Question

💡 Solution & Explanation

Volume of unit cell V = 24 * sqrt(2) * r^3. Volume V = 1.25 * 10^-22 cm3. Solving for r: 24 * sqrt(2) * r^3 = 1.25 * 10^-22 => r^3 = 1.25 * 10^-22 / (24 * 1.414) = 3.68 * 10^-24 cm3 => r = 1.54 * 10^-8 cm = 1.54 A, which is closest to option (b) 1.56 A.