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In a close packed structure of mixed oxi...

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 . What is the formula of the oxide ?

A

`A_2BO_4`

B

`AB_2O_3`

C

`A_2BO_3`

D

`AB_2O_4`

Text Solution

Verified by Experts

The correct Answer is:
D
Number of oxide ions(O) per unit cell=1
Number of tetrahedral voids per ion in lattice = 2
Number of divalent cation (A)=`1/8xx2=1/4`
Number of octahedral voids per ion ini lattice = 1
Number of trivalent cations (B)=`1xx1/2=1/2`
Formula = `A_(1//4)B_(1//2)O=AB_2O_4`
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Knowledge Check

  • In a cubic closed packed structure of mixed oxides the lattice is made up of oxide ions, one eighth of tetrahedral voids are occupied by divalent ions (A^(2+)) while one half of the octahedral voids occupied trivalent ions (B^(3+)) . What is the formula of the oxide ?

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

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