The volume of this HCP unit cell is:

24 \sqrt{2} r^{3}

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16 \sqrt{2} r^{3}

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12 \sqrt{2} r^{3}

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\frac{64 r^{3}}{3 \sqrt{3}}

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Solution

The correct option is A $24 \sqrt{2} r^{3}$
For HCP unit cell,

Height of unit cell $= 4 r \sqrt{\frac{2}{3}}$

Base area $= 6 \times \frac{\sqrt{3}}{4} (2 r)^{2}$

Volume $=$ height $\times$ base area $= 24 \sqrt{2} r^{3}$

Suggest Corrections

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