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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 radius of the cation is `90` pm, calculate the probable range of the radius of the anion.

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The correct Answer is:
`123.3` to `217.4 pm`
`NaCl` has fcc-type structure. The ideal limiting radius ratio is `0.414`.
`(r_(o+))/(r_(ɵ)) = 0.414`
`r_(ɵ) = (90)/(0.414) = 217.4` pm
When the structure is nor ideally close packed (i.e., anions do not touch each other) the limiting ratio can be upto `0.73`.
Minimum raudys of anion `= (r_(o+))/(0.73) = (90)/(0.73) = 123.3` pm
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