In the spinel structure, oxides ions are cubical-closest packed whereas 1/8th of tetrahedral voids are occupied by A2+ cation and 1/2 of octahedral voids are occupied by B3+ cations. The general formula of the compound having spinel structure is:

Effective no.of O2- in a unit Cell=8Ã18+6Ã12=4Effective no, of A2+ in a unit cell =8Ã18=1Effective no. of B3+ in a unit cell 1=4Ã12=2â´ general formula is AB2O4

In the spinel structure, oxides ions are cubical-closest packed whereas 1/8th of tetrahedral voids are occupied by A2+ cation and 1/2 of octahedral voids are occupied by B3+ cations. The general formula of the compound having spinel structure is:

Effective no.of O2- in a unit Cell=8Ã18+6Ã12=4Effective no, of A2+ in a unit cell =8Ã18=1Effective no. of B3+ in a unit cell 1=4Ã12=2â´ general formula is AB2O4

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In the spinel structure, oxides ions are cubical-closest packed whereas 1/8th of tetrahedral voids are occupied by A²⁺ cation and 1/2 of octahedral voids are occupied by B³⁺ cations. The general formula of the compound having spinel structure is:

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A₂B₄O₂

A₄B₂O₂

AB₂O₄

A₂B₂O₄

answer is B.

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Detailed Solution

Effective no.of O^2- in a unit Cell
$= 8 Ã \frac{1}{8} + 6 Ã \frac{1}{2} = 4$
Effective no, of A²⁺ in a unit cell $= 8 Ã \frac{1}{8} = 1$
Effective no. of B³⁺ in a unit cell $1 = 4 Ã \frac{1}{2} = 2$
$â´$ general formula is AB₂O₄