Question

In a compound AB₂O₄, oxide ions are arranged in ccp and cations A are present in octahedral voids. Cations B are equally distributed between octahedral and tetrahedral voids. The fraction of the octahedral voids occupied is ______.

Options

• `1/2`

• `1/4`

• `1/8`

• `1/6`

Answer 1

In a compound AB₂O₄, oxide ions are arranged in ccp and cations A are present in octahedral voids. Cations B are equally distributed between octahedral and tetrahedral voids. The fraction of the octahedral voids occupied is `bbunderline(1/2)`.

Explanation:

In AB₂O₄, O²⁻ ions form a ccp structure, giving 4 octahedral voids.

A occupies 1 octahedral void, and B contributes 1 more (half of 2 B atoms), so 2 out of 4 octahedral voids are occupied, giving a fraction of `1/2`.