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Iodine belongs to group 17, so the central atom brings $$7$$ valence electrons.
Each of the seven fluorine atoms contributes one electron to form a single $$\sigma$$-bond with iodine. Hence the total electron pairs around iodine are:
Bond pairs $$=7$$, Lone pairs $$=0$$.
According to VSEPR notation this is an $$\text{AX}_7$$ species.
For an $$\text{AX}_7$$ arrangement with zero lone pairs the minimum-repulsion geometry predicted by VSEPR is a pentagonal bipyramid (five F atoms in an equatorial pentagon and two F atoms in the axial positions).
Therefore the molecular shape of $$\text{IF}_7$$ is pentagonal bipyramid.
Option C which is: pentagonal bipyramid
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