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_(2)BO_(2)`
C. `A_(2)B_(3)O_(4)`
D. `AB_(2)O_(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`