Chemistry - Solid State Question with Solution | TestHub

Question Explanation: Find the radius of the largest atom.

Concept: This question is based on packing in ionic solids.

Solution: The largest atom that can occupy an octahedral void in an FCC structure.

$$\frac{r^{+}}{r^{-}}=0.414or{r}^{-}=\frac{r^{+}}{0.414}$$

$$\frac{a}{2}=r^{+}+r^{-}$$

$$\frac{a}{2}=r^{+}+\frac{r^{+}}{0.414}$$

$$\frac{362}{2}=r^{+}\left(1+\frac{1}{0.414}\right)$$

$$r^{+}\approx 53pm$$