A compound is formed by two elements $\mathrm{M}$ and $\mathrm{N}$. The element $\mathrm{N}$ forms ccp and atoms of M occupy $1 / 3 r d$ of tetrahedral voids. What is the formula of the compound?

Home » A compound is formed by two elements and . The element forms ccp and atoms of M occupy of tetrahedral voids. What is the formula of the compound?

A compound is formed by two elements $\mathrm{M}$ and $\mathrm{N}$ . The element $\mathrm{N}$ forms ccp and atoms of M occupy $1 / 3 r d$ of tetrahedral voids. What is the formula of the compound?

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A compound is formed by two elements $\mathrm{M}$ and $\mathrm{N}$ . The element $\mathrm{N}$ forms ccp and atoms of M occupy $1 / 3 r d$ of tetrahedral voids. What is the formula of the compound?

Ans: The ccp lattice is formed by the atoms of the element $\mathrm{N}$ .
Here, the number of tetrahedral voids generated is equal to twice the number of atoms of the element $\mathrm{N}$ .
According to the question, the atoms of element M occupy $1 / 3 r d$ of the tetrahedral voids. Therefore, the number of atoms of $\mathrm{M}$ is equal to $2 \times 1 / 3=2 / 3^{\text {re }}$ of the number of atoms of $\mathrm{N}$ . Therefore, ratio of the number of atoms of $\mathrm{M}$ to that of $\mathrm{N}$ is $\mathrm{M}: \mathrm{N}=(2 / 3): 1=2: 3$ Thus, the formula of the compound is $\mathrm{M}_{2} \mathrm{~N}_{3}$ .

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