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  4. A solid XY has NaCl structure. If radius of X+is 100 pm, what is the radius of Y- ion?

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Q. A solid $XY$ has $NaCl$ structure. If radius of $X^{+}$is $100\, pm$, what is the radius of $Y^{-}$ ion?

Solution:

For $NaCl$ type crystal
$\frac{r_{+}}{r_{-}}=0.414 $ to $ 0.732 $
$r_{-}=\underset{\text{(max)}}{\frac{r_{+}}{0.414}} $ or $\underset{\text{(min)}}{ \frac{r_{+}}{0.732}} $
$=\frac{100}{0.414} $ to $ \frac{100}{0.732} $
$=241.54 $ to $ 136.6\, pm$