Ashbaugh HS, Vats M, Garde S. Bridging Gaussian Density Fluctuations from Microscopic to Macroscopic Volumes: Applications to Non-Polar Solute Hydration Thermodynamics.
J Phys Chem B 2021;
125:8152-8164. [PMID:
34283590 PMCID:
PMC8389927 DOI:
10.1021/acs.jpcb.1c04087]
[Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
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The hydration of
hydrophobic solutes is intimately related to the
spontaneous formation of cavities in water through ambient density
fluctuations. Information theory-based modeling and simulations have
shown that water density fluctuations in small volumes are approximately
Gaussian. For limiting cases of microscopic and macroscopic volumes,
water density fluctuations are known exactly and are rigorously related
to the density and isothermal compressibility of water. Here, we develop
a theory—interpolated gaussian fluctuation theory (IGFT)—that
builds an analytical bridge to describe water density fluctuations
from microscopic to molecular scales. This theory requires no detailed
information about the water structure beyond the effective size of
a water molecule and quantities that are readily obtained from water’s
equation-of-state—namely, the density and compressibility.
Using simulations, we show that IGFT provides a good description of
density fluctuations near the mean, that is, it characterizes the
variance of occupancy fluctuations over all solute sizes. Moreover,
when combined with the information theory, IGFT reproduces the well-known
signatures of hydrophobic hydration, such as entropy convergence and
solubility minima, for atomic-scale solutes smaller than the crossover
length scale beyond which the Gaussian assumption breaks down. We
further show that near hydrophobic and hydrophilic self-assembled
monolayer surfaces in contact with water, the normalized solvent density
fluctuations within observation volumes depend similarly on size as
observed in the bulk, suggesting the feasibility of a modified version
of IGFT for interfacial systems. Our work highlights the utility of
a density fluctuation-based approach toward understanding and quantifying
the solvation of non-polar solutes in water and the forces that drive
them toward surfaces with different hydrophobicities.
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