Ionic radii of cation $\mathrm{A}^{+}$ and anion $\mathrm{B}^{-}$ are 102 and $181 \,\mathrm{pm}$ respectively. These ions are allowed to crystallize into an ionic solid. This crystal has cubic close packing for $\mathrm{B}^{-}$. $\mathrm{A}^{+}$ is present in all octahedral voids. The edge length of the unit cell of the crystal AB is __________ pm. (Nearest Integer)
Answer (integer)
566
Solution
In cubic close packing, octahedral voids form at
edge centers and body center of the cube<br/><br/>
a = 2(rA<sup>+</sup> + rB<sup>–</sup>)<br/><br/>
a = 2 (102 + 181)<br/><br/>
a = 566 pm
About this question
Subject: Chemistry · Chapter: States of Matter · Topic: Gas Laws
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