Which of the following mathematical relationships between the edge length () and atomic radius () ar — Solid State Chemistry Question

💡 Solution & Explanation

In Simple Cubic, atoms touch along the edge: $a = 2r$. In FCC, atoms touch along the face diagonal: $\sqrt{2}a = 4r \implies a = 2\sqrt{2}r$. In BCC, atoms touch along the body diagonal: $\sqrt{3}a = 4r \implies a = \frac{4r}{\sqrt{3}}$.