We present self-consistent reaction field (SCRF) calculations,
utilizing correlated ab initio quantum mechanics,
of aqueous solvation free energies for a large data base of molecular
solutes. We identify a subset of chemical
functional groups for which there are systematic deviations in the
comparison of theory and experiment;
furthermore, for one case which has been extensively investigated,
methylated amines, similar deviations
appear in explicit solvent free energy perturbation calculations
employing several commonly used molecular
mechanics potential functions. By carrying out high-level ab
initio quantum chemical calculations of hydrogen-bonding energies of the solutes to a water molecule, we arrive at a
coherent explanation of the disagreements
between theory and experiment, namely, that hydrogen-bonding energies
are in some cases poorly correlated
with classical electrostatic interaction energies. We show that
the deviation in hydrogen-bonding energies of
a solute from a reference molecule (for which there is good agreement
between the SCRF calculations and
experiment) is an excellent predictor of the errors made for that
solute in the SCRF calculations. A new
SCRF model is developed in which short-range empirical corrections,
based upon solvent accessibility, are
made for these chemical functional groups; this reduces the mean error
of the calculated solvation free energies
for the entire data base by a factor of ∼2, to 0.37 kcal/mol.
These results have significant implications for
the accuracy of explicit solvent potential functions as well as
dielectric continuum models. Finally, we also
identify cases where the observed discrepancies in solvation free
energies cannot be explained by pair hydrogen-bonding results and suggest problems here that may be specific to
dielectric continuum theory.
The energy of dimerization of two N-methylacetamide (NMA) molecules in vacuum is calculated using density functional theory. Natural orbital analysis suggests that the dimerization energy of -6.6 kcal/mol is predominantly due to the (NsH‚‚‚OdC) donor-acceptor interaction. The gas phase to water hydration free energies and the free energies of transfer from the aqueous phase to liquid alkane of hydrogen bonded, (NsH‚‚‚OdC), and nonbonded, (NsH,OdC), groups are calculated using a continuum solvent model. On the basis of these calculations, we estimate the free energy of forming an amide hydrogen bond in the context of the NMA dimer in water and in liquid alkane as ∼-1 and ∼-5 kcal/mol, respectively. The relevance of these calculations to processes such as protein folding and membrane insertion of proteins is discussed.
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