In an ionic solid , the oxide ions form CCP. 'A' and 'B' are metal ions in which one is bivalent and — Solid State Chemistry Question
Question
In an ionic solid $\text{AB}_2\text{O}_4$, the oxide ions form CCP. 'A' and 'B' are metal ions in which one is bivalent and another is trivalent (not necessarily in given order). If all the bivalent ions occupy octahedral holes and the trivalent ions occupy tetrahedral and octahedral voids in equal numbers, then the fraction of octahedral voids unoccupied is
Answer: A
💡 Solution & Explanation
To balance charge of 4 $\text{O}^{2-}$ (-8), there must be one +2 ion and two +3 ions. The +2 bivalent ion (1 total) occupies an octahedral void. The +3 trivalent ions (2 total) occupy 1 tetrahedral and 1 octahedral void. Total octahedral voids occupied = 2. Total available = 4. Fraction unoccupied = $(4-2)/4 = 1/2$. Therefore, correct answer is A.
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