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What is the formula of a compound in which the element Y forms ccp lattice and atoms X occupy 1/3rd of tetrahedral voids.

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What is the formula of a compound in which the element Y forms ccp lattice and atoms X occupy 1/3rd of tetrahedral voids.
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Correct Answer - `X^2Y^3`
Suppose no. of atoms Y present in the packing =n
Then, tetrahedral voids = 2n
Atoms X present in the tetrahedral voids=`1/3xx2n ="2n"/3`
`therefore` Ratio of X:Y =`"2n"/3:n=2/3:1=2:3`
Hence, the formula is `X_2Y_3`
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