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In a closed packed structure of mixed ox...

In a closed packed structure of mixed oxides, the lattice is composed of mixed oxides ions. One-eighth of tetrahedral voids are occupied by divalent cation `(A^(2+))` while one-half of octahedral voids are occupied by trivalent cations `(B^(3+))`. The fromula of mixed oxide is

Text Solution

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Let there be `80 O^(2-)` in the crystal .
`therefore` Octehedral voids =80
Tetrahedral voids=160
`A^(2+)` ions `=(1)/(8) xx 160=20`
`B^(3+)` ions `=(1)/(2)xx80 =40`
`A^(2+) :B^(3+) :O^(2-)=20:40:80`
`=1:2:4`
`therefore` Formula is `AB_(2)O_(4)`
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