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Match the column ('' is the unit cell edge length)Solid State Chemistry Question

Question

Match the column ('$l$' is the unit cell edge length)

Answer: A-P, B-Q, B-S, C-R

💡 Solution & Explanation

In CsCl, shortest cation-anion distance is $\frac{\sqrt{3}}{2}l \approx 0.866 l$ (P). In CaF$_2$, cations form FCC, so shortest cation-cation distance is $\frac{l}{\sqrt{2}} \approx 0.707 l$ (Q). In diamond, shortest C-C distance is $\frac{\sqrt{3}}{4}l \approx 0.433 l$ (R). In rock salt, shortest cation-cation distance is $\frac{l}{\sqrt{2}} \approx 0.707 l$ (S). Therefore, correct pairs are A $\rightarrow$ P; B $\rightarrow$ Q, S; C $\rightarrow$ R.

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