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Q. In the zinc blende structure, $Zn ^{2+}$ ions occupy alternate tetrahedral voids and $S ^{2-}$ ions exist as $ccp$. The radii of $Zn ^{2+}$ and $S ^{2-}$ ions are $0.83 \,\mathring{A}$ and $1.74 \,\mathring{A}$ respectively. The edge length (in $\mathring{A}$ ) of the $ZnS$ unit cell is

The Solid State

Solution:

$r_{c}+r_{a}=\frac{a \sqrt{3}}{4}$