(Polar molecules, Non-polar molecules, etc.)
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Due to repulsion from lone pairs, it is sometimes more favorable for a lone pair to be in the equatorial position rather than axial (or vice-versa). This is an especially prevalent concept when looking at trigonal bipyramidal and octahedral structures. It is more favorable to put a lone pair in the equatorial position if you are dealing with a trigonal bipyramidal structure since there's less repulsion. However, with octahedral structures, it would be more favorable. to put a lone pair in the axial position. As Ada pointed out, bond angles are affected by lone pairs due to their repulsion.