Answer:
This ion is in an octahedral geometry.
See the diagram attached for the Lewis Dot Structure of the iodide hexafluoride cation [tex]\rm {IF_6}^{+}[/tex]. (Created with Google Drawings.)
Note that in this diagram,
Explanation:
The iodine in [tex]\rm {IF_6}^{+}[/tex] forms an expanded octet. There are twelve valence electrons in total around this atom.
Overall, there needs to be [tex]6 \times 1 + 5 + 1= 12[/tex] more electrons for seven atoms to achieve an octet. They will form half that number of chemical bonds. That's [tex]12 / 2 = 6[/tex] bonds.
Now consider: what will be the geometry of this ion? There are six chemical bonds but no lone pair around the central iodine atom. The six [tex]\mathrm{I-F}[/tex] bonds repel each other equally. They will stay as far apart from each other as possible. As a result, the shape of the ion will be octahedral. Each of the fluorine atoms occupies a vertex.