What is the volume of one particle in BCC structure if 'a' is edge length?
What is the volume of one particle in BCC structure if 'a' is edge length?
$\frac{\pi \mathrm{a}^3}{3 \sqrt{2}}$
$\frac{\pi \mathrm{a}^3}{12 \sqrt{2}}$
$\frac{\sqrt{3} \pi \mathrm{a}^3}{16}$
$\frac{\sqrt{3} \pi \mathrm{a}^3}{8}$
Solution
For bec unit cell, $r=\frac{\sqrt{3}}{4} a$
$\therefore \quad$ Volume of one particle
$=\left(\frac{4}{3} \pi \mathrm{r}^3\right)=\left(\frac{4}{3} \pi\right)\left(\frac{\sqrt{3} \mathrm{a}}{4}\right)^3=\frac{\sqrt{3} \pi \mathrm{a}^3}{16}$