Comprehension VIII A cubic unit cell contains manganese ions at the corners and fluoride ions at...

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Comprehension VIII
A cubic unit cell contains manganese ions at the corners and fluoride ions at the centre of each edge \( (M n=55, F=19 \),
\[
\left.N_{\mathrm{A}}=6 \times 10^{23}\right) \text {. }
\]
The edge length of the unit cell, if the radius of \( \mathrm{Mn}^{3+} \) ion is \( 0.65 \AA \) and that of \( \mathrm{F}^{-} \)ion is \( 1.35 \AA \), is
(a) \( 2.00 \AA \)
(b) \( 4.00 \AA \)
(c) \( 3.82 \AA \)
(d) \( 1.30 \AA \)
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