The edge length of an FCC lattice of an ionic substance is . If the radius of the cation is , the ra — Solid State Chemistry Question
Question
The edge length of an FCC lattice of an ionic substance is $508 \text{ pm}$. If the radius of the cation is $110 \text{ pm}$, the radius of the anion must be:
Answer: A
💡 Solution & Explanation
For the FCC-type closest contact along the face diagonal, $4r = \sqrt{2}a$ for equal-radius contact distance expressed through the effective nearest-neighbour sum, so $r_+ + r_- = \frac{a}{2}=254\text{ pm}$. Therefore $r_- =254-110=144\text{ pm}$.
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