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  4. A cation is in the centre touches three anions. Assume that the anions also touch each other. The limiting radius ratio, r+/r- is

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Q. A cation is in the centre touches three anions. Assume that the anions also touch each other. The limiting radius ratio, $r^{+}/r^{-}$ is

NTA AbhyasNTA Abhyas 2022

Solution:

$\frac{r^{+} + r^{-}}{r^{-}}=\frac{2}{\sqrt{3}}$
$\frac{r +}{r +}+1=\frac{2}{\sqrt{3}}$
$\frac{r +}{r -}+1=1.1547$
$\frac{r +}{r -}=0.1547$