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Q. Ionic radii of cation $A ^{+}$and anion $B ^{-}$are 102 and $181 pm$ respectively. These ions are allowed to crystallize into an ionic solid. This crystal has cubic close packing for $B ^{-} . A ^{+}$is present in all octahedral voids. The edge length of the unit cell of the crystal $A B$ is ___$pm$. (Nearest Integer)

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Solution:

$ a=2\left(r_{+}+r_{-}\right) $
$ a=2(102+181) $
$ a=2(283) $
$a=566\, pm$