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. `A_2BO_2`
B. `ABO_2`
C. `A_2B_3O_4`
D. `AB_2O_2`

Answer

D

Explanation

`O^(2-)= 8 xx (1)/(8)=1` ,
` A = (1)/(4) xx 2 , 2 = (1)/(2) ,B=1`
So , `A_(1//2)` BO `implies AB_2O_2` is formula