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  4. Calculate the percentage of packing efficiency in simple cubic unit cell.

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Q. Calculate the percentage of packing efficiency in simple cubic unit cell.

NTA AbhyasNTA Abhyas 2020The Solid State

Solution:

In simple cubic, packing efficiency
$=\frac{\text { Volume of one atom } \times 100}{\text { Volume of unit cell }}$
$=\frac{\frac{4}{3} \pi r^{3}}{8 r ^{3}} \times 100=\frac{\pi}{6} \times 100=52.4 \%$
where, $r=$ radius of one sphere or atom.