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Atoms of the element 'A' form HCP and atoms of element 'C' occupy only two-third of octahedral voidsSolid State Chemistry Question

Question

Atoms of the element 'A' form HCP and atoms of element 'C' occupy only two-third of octahedral voids in it, then the general formula of the compound is

Answer: C

💡 Solution & Explanation

Let the number of 'A' atoms in the HCP lattice be $N$. The number of octahedral voids generated is also $N$. Since 'C' atoms occupy $2/3$ of these voids, the number of 'C' atoms is $\frac{2}{3}N$. The ratio of C to A is $\frac{2}{3}N : N$, which simplifies to $2:3$. Hence, the formula is $C_2A_3$. Therefore, correct answer is C.

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