A solid \( \mathrm{A}^{+} \mathrm{B} \) - has a \( \mathrm{NaCl} \)...

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A solid \( \mathrm{A}^{+} \mathrm{B} \) - has a \( \mathrm{NaCl} \) type close packed structure. If the anion has a radius of \( 250 \mathrm{pm} \). What should be the ideal radius of the cation? Can a cation \( \mathrm{C}^{+} \)having a radius of \( 180 \mathrm{pm} \) be slipped into the tetrahedral site of the crystal \( A^{+} B^{-} \)? Give reason for your answer.
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