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# The unit cell in a crystal of diamond belongs to a cubic crystal system but doesn't correspond to the Bravais lattice.The volume of unit cell of diamond is $0.0454nm^3$ and the density of diamond is $3.52g/cc$.Find the number of carbon atoms in a unit cell of diamond?

$\begin{array}{1 1}8\\7\\6\\5\end{array}$

Atomic mass of carbon =12g/mol
Volume of the unit cell of diamond =$0.0454nm^3$
Density =$\large\frac{\text{Atomic mass}\times n}{\text{unit cell volume}\times \text{Avogadro's no}}$
$3.52=\large\frac{12\times n}{0.0454\times 10^{-21}\times 6.023\times 10^{23}}$
$\Rightarrow n=8$ atoms/unit cell