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  4. The number of atoms in one of this hcp unit cell is

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Q. The number of atoms in one of this hcp unit cell is

IIT JEEIIT JEE 2008The Solid State

Solution:

image
A hcp unit cell
Contribution of atoms from corner $=1 / 6$
Contribution from face centre $=1 / 2$
$\Rightarrow$ Total number of atoms per unit cell $=12 \times \frac{1}{6}+2 \times \frac{1}{2}+3$
$=6$