The electron population in the region between atoms A and B of a molecular entity
at the expense of
electron density in the immediate vicinity of the individual atomic centers. Different schemes of
partitioning
electron density give rise to different definitions of bond orders. In the framework of the Mulliken
population analysis, bond order is associated with the total overlap population
where
and
are respectively the elements of the density matrix and overlap matrix (see
overlap integral). A large positive value of bond order signifies strong bonding between the atoms
of the molecular entity, whereas negative values of
imply that electrons are displaced away from the inter-atomic region and point to
an
anti-bonding interaction. In
valence bond theory, bond order is given by a weighted average of the formal bond orders
(i.e. by the number of electron pairs in a given Lewis structure) between the atoms
in the
resonance structures (see
resonance hybrid).