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Q.

A certain ionic compound is found in the Spinel structure in nature, in which O2− ions constitute CCP lattice, A2+ ions occupy 1/8th of the tetrahedral voids and B3+ 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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a

+8 electronic charge

b

+12 electronic charge

c

+16 electronic charge

d

+24 electronic charge

answer is C.

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Detailed Solution

Total positive charge in 1 unit cell = charge on A2++ charge on B3+⇒18×8×2+12×4×3=8 Electronic charge.∴ Total positive charge in 2 unit cells = 16 electric charge.

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