We propose an integrated molecular/continuum thermodynamic model for c
alculating electrostatic contributions to the free energy of hydration
that is based on a correlation function expansion of the free energy.
The model uses explicit water simulation results for simple monatomic
and diatomic solutes to calculate lower order correlations in this ex
pansion and systematically corrects for higher order correlations usin
g the continuum description of hydration. The model is applied to calc
ulating free energies of charging the tetramethylammonium (TMA) ion an
d idealized TMA-like solutes in water. We find that the effects of wat
er structure on ion hydration are embodied in the lower order correlat
ions and, thus, are accounted for by the explicit water simulation res
ults. In addition, continuum corrections for higher order correlations
are found to be independent of the Born radii chosen for oppositely c
harged ions. Thus, the model reduces the reliance of the continuum des
cription on parametrization of the Born radii.