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Question: Answered & Verified by Expert
$\mathrm{NaCl}$ has face centred structure with edge length equal to $361 \mathrm{pm}$. The radius is
ChemistrySolid StateCOMEDKCOMEDK 2023
Options:
  • A $127.6 \mathrm{pm}$
  • B $64 \mathrm{pm}$
  • C $180.5 \mathrm{pm}$
  • D $160.5 \mathrm{pm}$
Solution:
2933 Upvotes Verified Answer
The correct answer is: $127.6 \mathrm{pm}$
For fcc lattice,
$\begin{gathered}
a \sqrt{2}=4 r \\
\therefore r=\frac{\sqrt{2}}{4} a \Rightarrow r=\frac{1.414 \times 361}{4} \Rightarrow r=127.6 \mathrm{pm}
\end{gathered}$

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