Question

The distance between an octahedral and tetrahedral void in fcc lattice would be:

• A. $a\sqrt{3}$
• B. $\frac{a\sqrt{3}}{2}$
• C. $\frac{a}{\sqrt{3}}$
• D. $\frac{a\sqrt{3}}{4}$

Answer 1

The correct option is D $\frac{a\sqrt{3}}{4}$

Tetrahedral voids $\left(THV\right)$ are present at $\frac{a\sqrt{3}}{4}$ from body corner and octahedral voids are present at body center and edge centers.

$d_{THV⟶OHV}=\frac{a\sqrt{3}}{4}$