In the trigonal bipyramidal geometry, which position- axial or equatorial- do nonbonding electrons prefer? why?

I know its equatorial but I'm not exactly sure why

Lone pairs that are non-bonding occupy more space than atoms bonding electrons and they are less crowded when in the equatorial position. Whether it is AB4U, AB3U2, or AB2U3, the non-bonding pairs are equatorial because they are less crowded there. Most texts have decent diagrams that will let you visualize the arrangement.

It can be 1,2and 3

Nonbonding electrons prefer the equatorial position in trigonal bipyramidal geometry. This preference is due to a phenomenon known as electron-electron repulsion.

In a trigonal bipyramidal molecule, there are five positions where atoms or electron pairs can be located: three equatorial positions in the same plane and two axial positions perpendicular to that plane. Since the equatorial positions are farther apart from each other compared to the axial positions, they experience less repulsion.

Nonbonding electrons are lone pairs of electrons that occupy one of these positions. They repel other electrons in the molecule, including bonding electron pairs and atoms. By occupying the equatorial positions, nonbonding electrons are able to maximize their separation from other electrons, minimizing repulsion and stabilizing the molecule.

In contrast, when nonbonding electrons occupy an axial position, they are closer to the other electron pairs, resulting in stronger repulsion and less stability for the molecule. Therefore, nonbonding electrons prefer the equatorial positions in trigonal bipyramidal geometry to minimize electron-electron repulsion.

In the trigonal bipyramidal geometry, there are three equatorial positions and two axial positions around the central atom. The nonbonding electrons, also known as lone pairs, prefer to occupy the equatorial positions rather than the axial positions. This preference is due to a phenomenon called electron-electron repulsion.

To understand why nonbonding electrons prefer the equatorial positions, let's consider the positioning of the atoms. In a trigonal bipyramidal arrangement, the three equatorial positions lie in a plane, forming an equatorial triangle. The two axial positions are located above and below this plane.

Now, lone pairs of electrons exert a stronger repulsion on other electrons compared to bonded pairs of electrons. This is because lone pairs are localized on a single atom and are closer to the nucleus, leading to higher electron density. As a result, they create stronger repulsive forces.

When a lone pair occupies an axial position, it experiences greater repulsion from the atoms in the equatorial plane. This is because the equatorial positions are closer to the lone pair, leading to a higher electron-electron repulsion. On the other hand, when a lone pair occupies an equatorial position, it experiences less repulsion from other atoms since the equatorial positions are farther away. Therefore, the energy of the molecule is minimized when nonbonding electrons occupy the equatorial positions.

Ultimately, the preference for nonbonding electrons to occupy the equatorial positions in trigonal bipyramidal geometry is due to the desire to minimize electron-electron repulsion and stabilize the molecule's structure.