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A solid binary compound XY has the Rock Salt () structure. If the radius of the cation is exactly , Solid State Chemistry Question

Question

A solid binary compound XY has the Rock Salt ($NaCl$) structure. If the radius of the cation $X^+$ is exactly $100 \text{ pm}$, the ideal maximum radius of the anion $Y^-$ before distortion occurs is:

Answer: B

💡 Solution & Explanation

In the rock salt structure, the cation occupies an octahedral void, so the minimum stable ratio is $r_+/r_-=0.414$. Thus $r_- = \frac{r_+}{0.414}=\frac{100}{0.414}\text{ pm}\approx241.5\text{ pm}$.

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