What is the exact mathematical relationship between the radius of an octahedral void () and the radi — Solid State Chemistry Question
Question
What is the exact mathematical relationship between the radius of an octahedral void ($r$) and the radius of the host atoms ($R$) in a close-packed lattice?
Answer: A
💡 Solution & Explanation
For an octahedral void, the limiting radius ratio is $r/R=\sqrt{2}-1\approx0.414$. Therefore the radius of an ion just fitting into an octahedral void is $r=0.414R$.
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