A certain ionic compound is found in the Spinel structure in nature, in which $O^{2 -}$ ions constitute CCP lattice, $A^{2 +}$ ions occupy ${1 / 8}^{t h}$ of the tetrahedral voids and $B^{3 +}$ ions occupy $1 / 2$ of the octahedral voids. Find out total positive charge contained in two unit cells of given ionic structure.

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+8 electronic charge

+12 electronic charge

+16 electronic charge

+24 electronic charge

answer is C.

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Detailed Solution

Total positive charge in 1 unit cell = charge on $A^{2 +} +$ charge on $B^{3 +}$
$\Rightarrow \frac{1}{8} \times 8 \times 2 + \frac{1}{2} \times 4 \times 3 = 8$ Electronic charge.

$∴$ Total positive charge in 2 unit cells = 16 electric charge.

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