In a close packed structure of mixed oxides , the lattice is composed of oxide ions, one-eighth of tetrahedral voids are occupied by divalent cations while one-half of octahedral voids are occupied by trivalent cations. The formula of the oxide is

Options

A. `A_(2)BO_(3)`
B. `AB_(2)O_(3)`
C. `A_(2)BO_(4)`
D. `AB_(2)O_(4)`

Answer

D

Explanation

For close-packed sturcture (fcc type)
Num ber of `O_(2-) = 4//"unit cell"`
Number of `A^(2+) = 1/8 xx TV = 1/8 xx 8 = 1`
Number of `B^(3+) = 1/2 xx OV = 1/2 xx 4 = 2`
Formula: `A_(1^(2+))B_(2^(3+))O_(4^(2-)) rArr AB_(2)O_(4)`