(Polar molecules, Non-polar molecules, etc.)
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The lewis structure for I3- has two iodines attached to the central iodine and three lone pairs on the central iodine. This gives you 5 regions of electron density around the central atom. This is a trigonal bipyramidal shape. The electron pairs repel each other to maximize their distance from one another, so they take up equatorial positions 120 degrees from one another. The two other iodines are 180 from one another. This gives us a linear shape for AX2E3 (2 bonding pairs and 3 lone pairs).
I3- has three lone pairs in the equatorial position, however, since they are equally spaced they repel the axial I equally, resulting in a linear shape. I3- has 2 bonds and 3 lone pairs for 5 regions of electron density. Placing that into a trigonal bipyramidal structure, the lone pairs go equatorial and the two other I atoms go axial. With the three atoms in a line, the molecule is linear.
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