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Q. In a normal spinel types structure, the oxide ions are arranged in $ccp$ whereas $1 / 8$ tetrahedral holes are occupied by $Z n^{2 +}ions$ and $50\%$ of octahedral holes are occupied by $F e^{3 +} \, ions$ . The formula of the compound is -

NTA AbhyasNTA Abhyas 2022

Solution:

In one unit cell no. of $O^{2 +}=4$
The no. of $Z n^{2 +}=\frac{1}{8}\times \, 8=1$
The no. of $F e^{3 +}=\frac{1}{2}\times \, 4=2$
$\therefore $ molecular formula of given spinel structure is $Z n F e_{2}O_{4}$