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Orbitals lack sharply defined surfaces, declining in
amplitude exponentially in their surface regions. When two orbitals are brought together, regions of
substantial amplitude overlap. The resulting system
can be described as two new orbitals,
one formed by joining the two original orbitals
without introducing a node
in the wave function, and the other formed with a node between them. The nodeless joining reduces the energy of the electrons
relative to the separate orbitals,
resulting in a bonding interaction; joining with a node
raises the energy,
producing an antibonding interaction. If both new orbitals
are occupied, antibonding forces dominate, resulting in overlap repulsion. Molecular mechanics models give an approximate
description of overlap (and other) forces for a certain range of atoms and geometries.
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