Madarász Á, Hamza A, Ferenc D, Bakó I. Two Faces of the Two-Phase Thermodynamic Model.
J Chem Theory Comput 2021;
17:7187-7194. [PMID:
34648287 PMCID:
PMC8582254 DOI:
10.1021/acs.jctc.1c00156]
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Abstract
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The quantum harmonic
model and the two-phase thermodynamic method
(2PT) are widely used to obtain quantum-corrected properties such
as isobaric heat capacities or molar entropies. 2PT heat capacities
were calculated inconsistently in the literature. For water, the classical
heat capacity was also considered, but for organic liquids, it was
omitted. We reanalyzed the performance of different quantum corrections
on the heat capacities of common organic solvents against experimental
data. We have pointed out serious flaws in previous 2PT studies. The
vibrational density of states was calculated incorrectly causing a
39% relative error in diffusion coefficients and 45% error in the
2PT heat capacities. The wrong conversion of isobaric and isochoric
heat capacities also caused about 40% error but in the other direction.
We have introduced the concept of anharmonic correction (AC), which
is simply the deviation of the classical heat capacity from that of
the harmonic oscillator model. This anharmonic contribution is around
+30 to 40 J/(mol K) for water depending on the water model and −8
to −10 J/(mol K) for hydrocarbons and halocarbons. AC is unrealistically
large, +40 J/(K mol) for alcohols and amines, indicating some deficiency
of the OPLS force field. The accuracy of the computations was also
assessed with the determination of the self-diffusion coefficients.
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