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In the closest packing of identical atoms A (with radius ), what is the maximum radius of atom B () Solid State Chemistry Question

Question

In the closest packing of identical atoms A (with radius $r_a$), what is the maximum radius of atom B ($r_b$) that can exactly fit into a tetrahedral void without disturbing the host lattice?

Answer: B

💡 Solution & Explanation

The limiting radius ratio ($\frac{r_{\text{void}}}{R_{\text{sphere}}}$) for a tetrahedral void is geometrically calculated as $0.225$. Therefore, the radius of the largest atom B that can fit into a tetrahedral void is $r_b = 0.225 r_a$.

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