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In a close-packed structure of oxides, o...

In a close-packed structure of oxides, one-eighth of the tetrahedral holes is occupied by bivalent cations `(A)` and half of the octahedral hole are occupied by trivalent cations `(B)`, calculate the molecular formula of the oxide.

Text Solution

Verified by Experts

The correct Answer is:
`AB_(2)O_(4)`
Let number of `O^(2-) = 1//"atom"`
Number of `TV = 2//"atom"`
Number of `TV = 1//"atom"`
Number of `A^(2+) = (1)/(8) xx 2 =(1)/(4)`
Number of `B^(3+) = (1)/(2) xx 1 =(1)/(2)`
Formula: `A_(1//4)^(2+)B_(1//4)^(3+)O^(2-)` or `AB_(2)O_(4)`.
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