Question:
Total volume of atoms present in a face centred cubic unit cell of a metal is ( $ r= $ atomic radius)
Total volume of atoms present in a face centred cubic unit cell of a metal is ( $ r= $ atomic radius)
Updated On: Jul 28, 2022
- $ \frac{20}{3}\pi {{r}^{3}} $
- $ \frac{24}{3}\pi {{r}^{3}} $
- $ \frac{12}{3}\pi {{r}^{3}} $
- $ \frac{16}{3}\pi {{r}^{3}} $
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The Correct Option is D
Solution and Explanation
Volume of an atom $=\frac{4}{3} \pi r^{3}$
In fcc, number of atoms per unit cell $=4$
$\therefore$ Volume of total atoms $=4 \times \frac{4}{3} \pi r^{3}$
$=\frac{16}{3} \pi^{3}$
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