Structure of a mixed oxide is cubic closed - packed (ccp) .The cubic unit cell of mixed oxide is composed of oxide ions .One fourth of the tetrahedral voids are occupied by divalent metal A and the octahedral voids are occupied by a monovelent metal B .The formula of the oxide is

Options

A. `ABO_2`
B. `A_2BO_2`
C. `A_2B_2O_4`
D. `AB_2O_2`

Answer

D

Explanation

`A^(2+) = 1/4 xx 8 = 2`
`B^(+) = 4 xx 1 = 4`
`O^(2-) = 8 xx 1/8 + 6 xx 1/2 = 4`
Hence the formula of the oxide will be `A_2B_4O_3` or `AB_2O_2`