U. Dinur, ANALYTICAL REPRESENTATIONS OF ATOMIC PARTIAL CHARGES AND CHARGE FLUXES IN DISSOCIATING SYSTEMS, Journal of molecular structure. Theochem, 113, 1994, pp. 73-80
Atomic partial charges and their changes along dissociating coordinate
s are investigated in the model systems HF, [HF...H]+, H2O, H3O+, H2O.
..HOH and [H2O...H...OH2]+. Ab initio calculations of dipole moment de
rivatives as computational observables representing the partial charge
s are presented. The results are fitted with an analytic distribution
function of atomic partial charges that can capture the opposing limit
ing behaviors of dissociating X-H bonds in both protonated and unproto
nated cases. Specifically, it is found that a Fermi-Dirac type distrib
ution function provides a reasonable economical representation for cha
rge transfer across bonds. Atom types in dissociating systems are nece
ssarily variables and an appropriate atom type function is introduced
as a parameter of the analytic charge distribution function.