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In molecular orbital (MO) theory, the overlap of atomic orbitals plays a crucial role in the formation of molecular orbitals. When two atoms come together to form a molecule, their atomic orbitals combine to give rise to molecular orbitals that span the entire molecule.

The overlap of atomic orbitals refers to the spatial interaction between the electron densities of adjacent atoms. It determines the extent to which the atomic orbitals mix and form bonding and antibonding molecular orbitals. The overlap can be constructive, leading to the formation of a bonding molecular orbital, or destructive, resulting in an antibonding molecular orbital.

Constructive overlap occurs when the wave functions of two atomic orbitals align in such a way that the electron densities accumulate between the two nuclei. This overlap leads to the formation of a bonding molecular orbital, which has lower energy than the original atomic orbitals. The bonding molecular orbital allows electrons to be shared between the atoms, contributing to the stability of the molecule.

On the other hand, destructive overlap arises when the wave functions of the atomic orbitals do not align, resulting in electron density accumulation away from the internuclear region. This leads to the formation of an antibonding molecular orbital, which has higher energy than the original atomic orbitals. Electrons in antibonding orbitals contribute to destabilization and weaken the bonding between the atoms.

The extent of overlap depends on several factors, including the shape, orientation, and energy of the atomic orbitals involved. Overlap is greatest when the orbitals have similar shape and size, and when their energies are close to each other.

The concept of overlap of atomic orbitals is fundamental to understanding the bonding and electronic structure of molecules in molecular orbital theory. By considering the overlap, we can predict the relative stability of different molecular orbitals and gain insights into the properties and behavior of molecules.

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