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  4. A compound Mp Xq has cubic close packing (ccp) arrangement of X. Its unit cell structure is shown below. The empirical formula of the compound, is

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Q. A compound $M_{p} X_{q}$ has cubic close packing (ccp) arrangement of $X$. Its unit cell structure is shown below. The empirical formula of the compound, isChemistry Question Image

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Solution:

Contribution of atom from the edge centre is $1 / 4$. Therefore, number of
$M=\frac{1}{4} \times 4($ from edge centre $)+1($ from body centre $)=2$
Number of $X=\frac{1}{8} \times 8$ (from corners) $+\frac{1}{2} \times 6$
(from face centre) $=4$
$\Rightarrow$ Empirical formula $=M_{2} X_{4}=M X_{2}$