Hypervalent molecules may involve the use of increased-valence structu
res to provide valence bond descriptions of their electronic structure
. For electron-rich molecules with four electrons distributed among th
ree overlapping (nuclear-centered) atomic orbitals, the increased-vale
nce structures are Y-A . B and Y . A-B. Each structure involves a frac
tional electron-pair bond and a one-electron bond. It is deduced that
the Armstrong-Perkins-Stewart valence of the A atom is able to exceed
unity in each of these structures when the three bonding electrons occ
upy nonorthogonal localized molecular orbitals. It is also shown that
increased valence for the A atom does not occur when the four electron
s occupy localized molecular orbitals to give the valence-bond structu
re Y-A-B with three overlapping atomic orbitals, and the same number o
f orbital variational parameters as occurs in the wave functions for e
ither of the increased-valence structures. The results of ab initio va
lence bond calculations with minimal basis sets are reported for H(3)(
-)l, CH5-, HF2-, F-3(-), CIF3, and FF3, and the resulting wave functio
ns for resonance between six canonical Lewis structures are related to
those for resonance between the two increased-valence structures. The
use of the latter structures to indicate how electronic reorganizatio
n proceeds via one-electron delocalizations for S-N2 reactions is rede
scribed, and an elementary argument is presented to deduce that this c
lass of reactions cannot involve the delocalization of a pair of elect
rons in concert from the nucleophile. Increased-valence wave functions
are used to deduce an expression for the avoided crossing for the tra
nsition state of the identity S-N2 reaction. (C) 1996 John Wiley & Son
s, Inc.