A given metal crystallizes out with a cubic structure having edge length of 361 pm . If there are fo

Question

A given metal crystallizes out with a cubic structure having edge length of 361 pm . If there are four metal atoms in one unit cell, what is the radius of one atom?

Professor PC Thomas Classes · Answer

FCC lattice parameters relate as $4r = \sqrt{2}a$. Thus $r = \frac{361}{2\sqrt{2}} \approx 127 	ext{ pm}$.