In a crystalline solid, having formula `AB_(2)O_(4)` oxide ions are arranged in cubic close packed lattice while cations A are present in tetrahedral voids and cations B are present in octahedral voids. (a) What percentage of the tetrahedral voids is occupied by A? (b) What percentage of the octahedral voids is occupied by B ?A. 0.5B. 0.25C. 0.75D. `12.5%`

In a crystalline solid, having formula `AB_(2)O_(4)` oxide ions are ar

1.	In a crystalline solid, having formula `AB_(2)O_(4)` oxide ions are arranged in cubic close packed lattice while cations A are present in tetrahedral voids and cations B are present in octahedral voids. (a) What percentage of the tetrahedral voids is occupied by A? (b) What percentage of the octahedral voids is occupied by B ?A. 0.5B. 0.25C. 0.75D. `12.5%`
Answer» Correct Answer - D In a cubic close packed lattice of oxide ions, there would be two tetrahedral and one octahedral void per oxide ion. Since the formula shows the presenece of 4 oxide ions, the number of tetrahedral voids is eight and that of octahedral voids is four . Out of the eight tetrahedral voids one is occupied by A. `:.` Percentage of tetrahedral voids occupied `=(1)/(8)xx100=12.5%`

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