A spinel is an important class of oxides consisting of two types of metal ions with the oxide io...

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A spinel is an important class of oxides consisting of two types of metal ions with the oxide ions arranged in ccp layers. The normal spinel has one-eighth of the tetrahedral holes occupied by one type of metal ion and one-half of the octahedral holes occupied by another type of metal ion. Such a spinel is formed by \( \mathrm{Mg}^{2+}, \mathrm{Al}^{3+} \) and \( \mathrm{O}^{2-} \). The neutrality of the crystal is being maintained.
If oxide ion is replaced by \( X^{-8 / 3} \), the number of anionic vacancy per unit cell is:
(a) 1
(b) 2
(c) 3
(d) \( 3 / 4 \)
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