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  • Diamond has a three dimensional structure of   atoms formed by covalent bonds. The structure of diamond has face centred cubic lattice where <img alt="50 \%" src="/latex-image/?50%20%5C%25"

Diamond has a three dimensional structure of \mathrm{C}  atoms formed by covalent bonds. The structure of diamond has face centred cubic lattice where 50 \% of the tetrahedral voids are also occupied by carbon atoms. The number of carbon atoms present per unit cell of diamond is_________.
 

Answers (1)

best_answer

Given,

Diamond has a face centred cubic structure of Carbon atoms with Carbon atoms also occupying the alternate Tetrahedral voids in the lattice.

\begin{aligned}\\\text{Thus, number of C atoms} & =8 \times \frac{1}{8}+6 \times \frac{1}{2}+8 \times \frac{1}{2}\\ &=1+3+4 \\ &=8 \end{aligned}

Hence, the correct answer is (8)

Posted by

sudhir.kumar

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