In the spinel structur, oxides ions are cubical-closet packed whereas 1/8th of tetrahedral voids are occupied by `A^(2+)` cation and 1/2 of octahedral voids are occupied by `B^(+)` cations. The general formula of the compound having spinel structure is:

Options

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

Answer

B

Explanation

Effective no. of `O^(2-)` in a unit cell `=8xx(1)/(8)+6xx(1)/(2)=4`
Effective no of `A^(2+)` in a unit cell `=8xx(1)/(8)=1`
Effective no. of `B^(3+)` in a unit cell `=4xx=2" ":." "` general formula is `AB_(2)O_(4)`