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A compound is formed by two elements Y a...

A compound is formed by two elements Y and Z . The element Z forms ccp and atoms Y occupy 1/3 rd of tetrahedral voids. The formula of the compound is,

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The ccp lattice is formed by the element N. The number of tetrahedrls voids is expected to be twice the number of atoms of N. However, only 1/3rd of these holes are occupied i.e., 2/3 voids are occupied by the atoms of the element M. Thus, the atoms of the elements N and M are present in the ratio. `=1:2//3 or 3:2`.
Therefore, the formula of the compound is `N_(3)M_(2)`.
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