Question

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

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

Answer 1

The correct option is A 288 pm

solution:

we know that relation between r and a for FCC is:

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

diameter $\Rightarrow \frac{a}{\sqrt{2}}$

$\Rightarrow \frac{408}{1.4142}$

$\Rightarrow 288.5$

hence the correct opt: A