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In the spinel structur, oxides ions are ...

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:

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)`

Text Solution

Verified by Experts

The correct Answer is:
B
Effective number of `O^(2-)` in a unit cell `=8xx(1)/(8)+6xx(1)/(2)=4`
Effective number of `A^(2+)` in a unit cell `=8xx(1)/(8)=1`
Effective number of `B^(3+)` in a unit cell `=4xx(1)/(2)=2`
`therefore` General formula `=AB_(2)O_(4)`
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