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A solid A^(o+)B^(ɵ) has NaCl-type close-...

A solid `A^(o+)B^(ɵ)` has `NaCl`-type close-packed structure. If the anion has a radius of `250` pm, what should be the ideal radius for the cation? Can a cation `C^(o+)` having radius of `180` pm be slipped into the tetrahedral site of the crystal `A^(o+)B^(ɵ)`? Give reason for your answer.

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The correct Answer is:
173.2 pm
`(r_(+)(C^(+)))/(r_(-)(B^(-))) = (180"pm")/(250"pm") = 0.72`
It does not ,lie in the range ( 0.225 - 0.414 . Hence `C^(+)` cannot be slipped into the tetrahedral site.
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