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Question

A compound is formed by two elements X and Y. Atoms of the element Y (as anions) make ccp and those of the element X (as cations) occupy all the octahedral voids. What is the formula of the compound?

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Solution

Since, atoms of Y forms CCP (cubic close packing) which is analogous to FCC (face centered cubic)

So, effective number of atoms of Y in lattice =4

Number of octahedral voids = Number of atoms forming CCP =4

So, effective number of atoms of X in the lattice =4

Now, X:YX:Y

4:4 1:1

So, the formula of the compound is XY


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