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Atoms of element Y form hcp lattice and those of the element X occupy 2/3rd of tetrahedral voids. What is the formula of the compound formed by the elements X and Y?

Question: Atoms of element Y form hcp lattice and those of the element X occupy
2/3rd of tetrahedral voids. What is the formula of the compound formed by the elements X and Y?

 Answer: The number of tetrahedral voids formed is equal to twice the number of atoms of element Y and only 2/3rd of these are occupied by the atoms of element X. Hence the ratio of the number of atoms of X and Y is 2

× (2/3):1 or 4:3 and the formula of the compound is X4Y3.

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