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Alpa Sachdeva
Asked: 2022-10-29T08:07:37+05:30 In:

In the spinel structure, oxides ions are cubical`-` closest packed whereas `1//8 th` of tetrahedral voids are occupied by `A^(2+)` cation and `1//2` of octahedral voids are occupied by `B^(2+)` 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)`

In the spinel structure, oxides ions are cubical`-` closest packed whereas `1//8 th` of tetrahedral voids are occupied by `A^(2+)` cation and `1//2` of octahedral voids are occupied by `B^(2+)` 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)`
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1 Answer

  1. Correct Answer – B
    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)`

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