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If the radius of Br^(-) ion is 0.182 nn,...

If the radius of `Br^(-)` ion is 0.182 nn, how large can a cation be fit in its tetrahedral holes ?

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The correct Answer is:
`< 7.53 xx 10^(-2) nm`

For a cation to fit into a tetrahedral hole
`(r_+)/(r_(-)) < 0.414`
or ` r_(+) < 0.414 xx r_(-)`
`< 0.414 xx 0.182 nm`
`r_(+) < 7.53 xx 10^(-2) nm`
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