Question

A metal crystallizes with a face-centered cubic lattice. The edge of the unit cell is $408\, pm$. The diameter of the metal atom is

• A. 144 pm
• B. 204 pm
• C. 288 pm
• D. 408 pm

Answer 1

Answer: (C)

288 pm

Answer 2

For $FCC r =\frac{ a }{2 \sqrt{2}}$

So diameter $=\frac{a}{\sqrt{2}}=\frac{408}{1.414}=288.5\, pm$