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  4. The maximum packing efficiency of an ionic solid, AB2 (fluorite structure) is about ((rA2 +/rB-) = √3 - 1)

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Q. The maximum packing efficiency of an ionic solid, $AB_{2}$ (fluorite structure) is about $\left(\frac{r_{A^{2 +}}}{r_{B^{-}}} = \sqrt{3} - 1\right)$

NTA AbhyasNTA Abhyas 2022

Solution:

$P.E.=\frac{4 \times \frac{4}{3} r_{A^{2 +}}^{3} + 8 \times \frac{4}{3} \pi r_{B^{-}}^{3}}{\left(\left[\frac{4}{\sqrt{3}} \left(r_{A^{2 +}} + r_{B^{-}}\right)\right]\right)^{3}}\approx0.63$