Diamond has face-centred cubic unit cell. The number of carbon atoms per unit cell is

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answer is D.

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Detailed Solution

The number of carbon atoms per unit cell is 8 .

Atoms make form the FCC unit cell structure seen in diamond.

Atoms at corner $= 8 \times \frac{1}{8} = 1$

Atoms at face $= 6 \times \frac{1}{2} = 3$

The other half of the tetrahedral gaps contain C atoms.

The FCC structure has 8 tetrahedral vacancies.

This explains the remaining $8 \times \frac{1}{2} = 4 C$ atoms

Thus, each diamond cell has a total of $4 + 4 = 8 C$ atoms.

Hence the option D is correct.

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