$\begin{array}{1 1} 91.35 \\ 1.143 \\ 8.4 \\ 9.5 \end{array} $

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Answer :$ 91.35 $

The cubical closet packing has a face- centered cubic unit cell.

$I^{-}$ ions occupy the corners and the face centers.

These ions touch each other along the face diagonal of the cube. Hence

$4r_1- =\sqrt 2 a$

or $r_{1-}=\large\frac{a}{2 \sqrt 2}$

$\qquad= \large\frac{624 \;pm}{2(1.414)}$$=220.65 \;pm$

Now along the edge , we will have $I^-L_i^{+}I^{-}$ arrangement , Where $I^{-}$ are at the corners and $Li^{+}$ ion at the center of the edge .

Since in closest packing , they touch each other , we will have

$2r_{1-}+2r_{Li} = a$

$r_{Li} =\large\frac{a}{2} $$-r_1=\large\frac {624\;pm}{2}$$-220.65 \;pm$

$\qquad= 91.35 \;pm$

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