DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Molecular theory and the effects of solute attractive forces on hydrophobic interactions

Abstract

The role of solute attractive forces on hydrophobic interactions is studied by coordinated development of theory and simulation results for Ar atoms in water. In this paper, we present a concise derivation of the local molecular field (LMF) theory for the effects of solute attractive forces on hydrophobic interactions, a derivation that clarifies the close relation of LMF theory to the EXP approximation applied to this problem long ago. The simulation results show that change from purely repulsive atomic solute interactions to include realistic attractive interactions diminishes the strength of hydrophobic bonds. For the Ar–Ar rdfs considered pointwise, the numerical results for the effects of solute attractive forces on hydrophobic interactions are opposite in sign and larger in magnitude than predicted by LMF theory. That comparison is discussed from the point of view of quasichemical theory, and it is suggested that the first reason for this difference is the incomplete evaluation within LMF theory of the hydration energy of the Ar pair. With a recent suggestion for the system-size extrapolation of the required correlation function integrals, the Ar–Ar rdfs permit evaluation of osmotic second virial coefficients B2. Those B2’s also show that incorporation of attractive interactions leads to more positivemore » (repulsive) values. With attractive interactions in play, B2 can change from positive to negative values with increasing temperatures. Furthermore, this is consistent with the puzzling suggestions of decades ago that B2 ≈ 0 for intermediate cases of temperature or solute size. In all cases here, B2 becomes more attractive with increasing temperature.« less

Authors:
 [1];  [1];  [2];  [3];  [3]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Center for Biological and Material Sciences
  2. Rice Univ., Houston, TX (United States). Dept. of Chemical and Biomolecular Engineering
  3. Tulane Univ., New Orleans, LA (United States). Dept. of Chemical and Biomolecular Engineering
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program; Consortium for Ocean Leadership (United States)
Contributing Org.:
Tulane Univ., New Orleans, LA (United States); Rice Univ., Houston, TX (United States)
OSTI Identifier:
1237355
Alternate Identifier(s):
OSTI ID: 1347346
Report Number(s):
SAND-2015-20729J; SAND2015-1893J
Journal ID: ISSN 1520-6106; 555995; TRN: US1600392
Grant/Contract Number:  
AC04-94AL85000; SA 12-05/GoMRI-002
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Physical Chemistry. B, Condensed Matter, Materials, Surfaces, Interfaces and Biophysical Chemistry
Additional Journal Information:
Journal Volume: 120; Journal Issue: 8; Journal ID: ISSN 1520-6106
Publisher:
American Chemical Society
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS

Citation Formats

Chaudhari, Mangesh I., Rempe, Susan B., Asthagiri, D., Tan, L., and Pratt, L. R. Molecular theory and the effects of solute attractive forces on hydrophobic interactions. United States: N. p., 2015. Web. doi:10.1021/acs.jpcb.5b09552.
Chaudhari, Mangesh I., Rempe, Susan B., Asthagiri, D., Tan, L., & Pratt, L. R. Molecular theory and the effects of solute attractive forces on hydrophobic interactions. United States. https://doi.org/10.1021/acs.jpcb.5b09552
Chaudhari, Mangesh I., Rempe, Susan B., Asthagiri, D., Tan, L., and Pratt, L. R. Tue . "Molecular theory and the effects of solute attractive forces on hydrophobic interactions". United States. https://doi.org/10.1021/acs.jpcb.5b09552. https://www.osti.gov/servlets/purl/1237355.
@article{osti_1237355,
title = {Molecular theory and the effects of solute attractive forces on hydrophobic interactions},
author = {Chaudhari, Mangesh I. and Rempe, Susan B. and Asthagiri, D. and Tan, L. and Pratt, L. R.},
abstractNote = {The role of solute attractive forces on hydrophobic interactions is studied by coordinated development of theory and simulation results for Ar atoms in water. In this paper, we present a concise derivation of the local molecular field (LMF) theory for the effects of solute attractive forces on hydrophobic interactions, a derivation that clarifies the close relation of LMF theory to the EXP approximation applied to this problem long ago. The simulation results show that change from purely repulsive atomic solute interactions to include realistic attractive interactions diminishes the strength of hydrophobic bonds. For the Ar–Ar rdfs considered pointwise, the numerical results for the effects of solute attractive forces on hydrophobic interactions are opposite in sign and larger in magnitude than predicted by LMF theory. That comparison is discussed from the point of view of quasichemical theory, and it is suggested that the first reason for this difference is the incomplete evaluation within LMF theory of the hydration energy of the Ar pair. With a recent suggestion for the system-size extrapolation of the required correlation function integrals, the Ar–Ar rdfs permit evaluation of osmotic second virial coefficients B2. Those B2’s also show that incorporation of attractive interactions leads to more positive (repulsive) values. With attractive interactions in play, B2 can change from positive to negative values with increasing temperatures. Furthermore, this is consistent with the puzzling suggestions of decades ago that B2 ≈ 0 for intermediate cases of temperature or solute size. In all cases here, B2 becomes more attractive with increasing temperature.},
doi = {10.1021/acs.jpcb.5b09552},
journal = {Journal of Physical Chemistry. B, Condensed Matter, Materials, Surfaces, Interfaces and Biophysical Chemistry},
number = 8,
volume = 120,
place = {United States},
year = {Tue Dec 22 00:00:00 EST 2015},
month = {Tue Dec 22 00:00:00 EST 2015}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 23 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Molecular-scale hydrophobic interactions between hard-sphere reference solutes are attractive and endothermic
journal, December 2013

  • Chaudhari, M. I.; Holleran, S. A.; Ashbaugh, H. S.
  • Proceedings of the National Academy of Sciences, Vol. 110, Issue 51
  • DOI: 10.1073/pnas.1312458110

Osmotic Second Virial Coefficient of Methane in Water
journal, October 2013

  • Koga, K.
  • The Journal of Physical Chemistry B, Vol. 117, Issue 41
  • DOI: 10.1021/jp4085298

Thermodynamics of unfolding
journal, February 1987


Origin of Entropy Convergence in Hydrophobic Hydration and Protein Folding
journal, December 1996


Hydrophobic Solvation NOT via Clathrate Water Cages
journal, July 2008

  • Silverstein, Todd P.
  • Journal of Chemical Education, Vol. 85, Issue 7
  • DOI: 10.1021/ed085p917.2

Molecular Mechanism of Red Cell "Sickling"
journal, July 1966


Temperature of polypeptide inverse temperature transition depends on mean residue hydrophobicity
journal, May 1991

  • Urry, Dan W.; Luan, Chi Hao; Parker, Timothy M.
  • Journal of the American Chemical Society, Vol. 113, Issue 11
  • DOI: 10.1021/ja00011a057

Secondary Structure Formation and LCST Behavior of Short Elastin-Like Peptides
journal, August 2008

  • Nuhn, Harald; Klok, Harm-Anton
  • Biomacromolecules, Vol. 9, Issue 10
  • DOI: 10.1021/bm800784y

Short elastin-like peptides exhibit the same temperature-induced structural transitions as elastin polymers: implications for protein engineering
journal, October 1998

  • Reiersen, Herald; Clarke, Anthony R.; Rees, Anthony R.
  • Journal of Molecular Biology, Vol. 283, Issue 1
  • DOI: 10.1006/jmbi.1998.2067

The molecular basis for the inverse temperature transition of elastin11Edited by A. R. Fersht
journal, January 2001

  • Li, Bin; Alonso, Darwin O. V.; Daggett, Valerie
  • Journal of Molecular Biology, Vol. 305, Issue 3
  • DOI: 10.1006/jmbi.2000.4306

Hydrophobic Hydration Is an Important Source of Elasticity in Elastin-Based Biopolymers
journal, December 2001

  • Li, Bin; Alonso, Darwin O. V.; Bennion, Brian J.
  • Journal of the American Chemical Society, Vol. 123, Issue 48
  • DOI: 10.1021/ja010363e

Molecular basis for the extensibility of elastin
journal, October 2002

  • Li, Bin; Daggett, Valerie
  • Journal of Muscle Research and Cell Motility, Vol. 23, Issue 5/6, p. 561-573
  • DOI: 10.1023/A:1023474909980

Temperature-Dependent Conformational Transitions and Hydrogen-Bond Dynamics of the Elastin-Like Octapeptide GVG(VPGVG): A Molecular-Dynamics Study
journal, March 2004


Folding and Unfolding of an Elastinlike Oligopeptide: “Inverse Temperature Transition,” Reentrance, and Hydrogen-Bond Dynamics
journal, April 2004


Inverse Temperature Transition of a Biomimetic Elastin Model:  Reactive Flux Analysis of Folding/Unfolding and Its Coupling to Solvent Dielectric Relaxation
journal, March 2006

  • Baer, Marcel; Schreiner, Eduard; Kohlmeyer, Axel
  • The Journal of Physical Chemistry B, Vol. 110, Issue 8
  • DOI: 10.1021/jp054805a

Temperature-Induced Conformational Transition of a Model Elastin-like Peptide GVG(VPGVG) 3 in Water
journal, July 2007

  • Krukau, Aliaksei; Brovchenko, Ivan; Geiger, Alfons
  • Biomacromolecules, Vol. 8, Issue 7
  • DOI: 10.1021/bm070233j

Molecular Description of the LCST Behavior of an Elastin-Like Polypeptide
journal, September 2014

  • Li, Nan K.; Quiroz, Felipe García; Hall, Carol K.
  • Biomacromolecules, Vol. 15, Issue 10
  • DOI: 10.1021/bm500658w

Temperature-Induced Phase Transition of Well-Defined Cyclic Poly( N -isopropylacrylamide)s in Aqueous Solution
journal, October 2007

  • Qiu, Xing-Ping; Tanaka, Fumihiko; Winnik, Françoise M.
  • Macromolecules, Vol. 40, Issue 20
  • DOI: 10.1021/ma071359b

Representation of vapor–liquid and liquid–liquid equilibria for binary systems containing polymers: Applicability of an extended flory–huggins equation
journal, February 1993


An information theory model of hydrophobic interactions.
journal, August 1996

  • Hummer, G.; Garde, S.; Garcia, A. E.
  • Proceedings of the National Academy of Sciences, Vol. 93, Issue 17
  • DOI: 10.1073/pnas.93.17.8951

Molecular Realism in Default Models for Information Theories of Hydrophobic Effects
journal, May 1999

  • Gomez, M. A.; Pratt, L. R.; Hummer, G.
  • The Journal of Physical Chemistry B, Vol. 103, Issue 18
  • DOI: 10.1021/jp990337r

Contrasting Nonaqueous against Aqueous Solvation on the Basis of Scaled-Particle Theory
journal, August 2007

  • Ashbaugh, Henry S.; Pratt, Lawrence R.
  • The Journal of Physical Chemistry B, Vol. 111, Issue 31
  • DOI: 10.1021/jp071969d

M OLECULAR T HEORY OF H YDROPHOBIC E FFECTS : “She is too mean to have her name repeated.”
journal, October 2002


Theories of Hydrophobic Effects and the Description of Free Volume in Complex Liquids
book, January 1999


Hydrophobic Effects on a Molecular Scale
journal, November 1998

  • Hummer, G.; Garde, S.; García, A. E.
  • The Journal of Physical Chemistry B, Vol. 102, Issue 51
  • DOI: 10.1021/jp982873+

Hydrophobic Effects and Modeling of Biophysical Aqueous Solution Interfaces
journal, July 2002

  • Pratt, Lawrence R.; Pohorille, Andrew
  • Chemical Reviews, Vol. 102, Issue 8
  • DOI: 10.1021/cr000692+

Scaled-particle theory of dilute aqueous solutions
journal, June 1967

  • Pierotti, Robert A.
  • The Journal of Physical Chemistry, Vol. 71, Issue 7
  • DOI: 10.1021/j100866a070

A scaled particle theory of aqueous and nonaqueous solutions
journal, December 1976


Aqueous Solutions of Nonpolar Gases 1
journal, January 1965

  • Pierotti, Robert A.
  • The Journal of Physical Chemistry, Vol. 69, Issue 1
  • DOI: 10.1021/j100885a043

Application of the scaled particle theory to aqueous solutions of nonpolar gases
journal, January 1967

  • Ben-Naim, Arieh; Friedman, Harold L.
  • The Journal of Physical Chemistry, Vol. 71, Issue 2
  • DOI: 10.1021/j100861a040

Theory of the hydrophobic effect 
journal, October 1977

  • Pratt, Lawrence R.; Chandler, David
  • The Journal of Chemical Physics, Vol. 67, Issue 8
  • DOI: 10.1063/1.435308

Benzene-benzene interaction in aqueous solution
journal, March 1980

  • Rossky, Peter J.; Friedman, Harold L.
  • The Journal of Physical Chemistry, Vol. 84, Issue 6
  • DOI: 10.1021/j100443a005

Theory of Hydrophobic Effects
journal, October 1985


A prototype hydrophobic interaction. The dimerization of benzene in water
journal, February 1979

  • Tucker, Edwin E.; Christian, Sherril D.
  • The Journal of Physical Chemistry, Vol. 83, Issue 3
  • DOI: 10.1021/j100466a026

Vapor pressure studies of hydrophobic association. Thermodynamics of fluorobenzene in dilute aqueous solution
journal, November 1986

  • Bernal, Pedro; Christian, Sherril D.; Tucker, Edwin E.
  • Journal of Solution Chemistry, Vol. 15, Issue 11
  • DOI: 10.1007/BF00646033

Effects of solute–solvent attractive forces on hydrophobic correlations
journal, October 1980

  • Pratt, Lawrence R.; Chandler, David
  • The Journal of Chemical Physics, Vol. 73, Issue 7
  • DOI: 10.1063/1.440541

Molecular dynamics study of the hydrophobic interaction in an aqueous solution of krypton
journal, February 1986

  • Watanabe, Kyoko; Andersen, Hans C.
  • The Journal of Physical Chemistry, Vol. 90, Issue 5
  • DOI: 10.1021/j100277a019

Entropy of association of methane in water: a new molecular dynamics computer simulation
journal, July 1992

  • Smith, David E.; Zhang, Ling; Haymet, A. D. J.
  • Journal of the American Chemical Society, Vol. 114, Issue 14
  • DOI: 10.1021/ja00040a068

Free energy, entropy, and internal energy of hydrophobic interactions: Computer simulations
journal, April 1993

  • Smith, David E.; Haymet, A. D. J.
  • The Journal of Chemical Physics, Vol. 98, Issue 8
  • DOI: 10.1063/1.464809

Role of attractive methane-water interactions in the potential of mean force between methane molecules in water
journal, June 2008

  • Asthagiri, D.; Merchant, Safir; Pratt, Lawrence R.
  • The Journal of Chemical Physics, Vol. 128, Issue 24
  • DOI: 10.1063/1.2944252

Local molecular field theory for the treatment of electrostatics
journal, November 2008


Cavity Expulsion and Weak Dewetting of Hydrophobic Solutes in Water
journal, May 1998


The Potential Distribution Theorem and Models of Molecular Solutions
book, January 2006


Mean-Field Approximation to the Hydrophobic Hydration in the Liquid–Vapor Interface of Water
journal, November 2015

  • Abe, Kiharu; Sumi, Tomonari; Koga, Kenichiro
  • The Journal of Physical Chemistry B, Vol. 120, Issue 8
  • DOI: 10.1021/acs.jpcb.5b10169

Accurate thermodynamics for short-ranged truncations of Coulomb interactions in site-site molecular models
journal, December 2009

  • Rodgers, Jocelyn M.; Weeks, John D.
  • The Journal of Chemical Physics, Vol. 131, Issue 24
  • DOI: 10.1063/1.3276729

On the efficient and accurate short-ranged simulations of uniform polar molecular liquids
journal, March 2011


Relationship between local molecular field theory and density functional theory for non-uniform liquids
journal, January 2013

  • Archer, A. J.; Evans, R.
  • The Journal of Chemical Physics, Vol. 138, Issue 1
  • DOI: 10.1063/1.4771976

Non-van der Waals Treatment of the Hydrophobic Solubilities of CF 4
journal, August 2007

  • Asthagiri, D.; Ashbaugh, H. S.; Piryatinski, A.
  • Journal of the American Chemical Society, Vol. 129, Issue 33
  • DOI: 10.1021/ja071037n

Equilibrium Structure of Simple Liquids
journal, July 1970


Studies of the Thermodynamic Properties of Hydrogen Gas in Bulk Water
journal, January 2008

  • Sabo, Dubravko; Varma, Sameer; Martin, Marcus G.
  • The Journal of Physical Chemistry B, Vol. 112, Issue 3
  • DOI: 10.1021/jp075459v

GROMACS 4:  Algorithms for Highly Efficient, Load-Balanced, and Scalable Molecular Simulation
journal, February 2008

  • Hess, Berk; Kutzner, Carsten; van der Spoel, David
  • Journal of Chemical Theory and Computation, Vol. 4, Issue 3
  • DOI: 10.1021/ct700301q

The missing term in effective pair potentials
journal, November 1987

  • Berendsen, H. J. C.; Grigera, J. R.; Straatsma, T. P.
  • The Journal of Physical Chemistry, Vol. 91, Issue 24
  • DOI: 10.1021/j100308a038

Settle: An analytical version of the SHAKE and RATTLE algorithm for rigid water models
journal, October 1992

  • Miyamoto, Shuichi; Kollman, Peter A.
  • Journal of Computational Chemistry, Vol. 13, Issue 8
  • DOI: 10.1002/jcc.540130805

Hydration of Kr(aq) in Dilute and Concentrated Solutions
journal, September 2014

  • Chaudhari, Mangesh I.; Sabo, Dubravko; Pratt, Lawrence R.
  • The Journal of Physical Chemistry B, Vol. 119, Issue 29
  • DOI: 10.1021/jp508866h

PACKMOL: A package for building initial configurations for molecular dynamics simulations
journal, October 2009

  • Martínez, L.; Andrade, R.; Birgin, E. G.
  • Journal of Computational Chemistry, Vol. 30, Issue 13
  • DOI: 10.1002/jcc.21224

THE weighted histogram analysis method for free-energy calculations on biomolecules. I. The method
journal, October 1992

  • Kumar, Shankar; Rosenberg, John M.; Bouzida, Djamal
  • Journal of Computational Chemistry, Vol. 13, Issue 8
  • DOI: 10.1002/jcc.540130812

Kirkwood–Buff Integrals for Finite Volumes
journal, December 2012

  • Krüger, Peter; Schnell, Sondre K.; Bedeaux, Dick
  • The Journal of Physical Chemistry Letters, Vol. 4, Issue 2
  • DOI: 10.1021/jz301992u

How to apply the Kirkwood–Buff theory to individual species in salt solutions
journal, September 2013


Temperature and Pressure Dependence of Methane Correlations and Osmotic Second Virial Coefficients in Water
journal, May 2015

  • Ashbaugh, Henry S.; Weiss, Katie; Williams, Steven M.
  • The Journal of Physical Chemistry B, Vol. 119, Issue 20
  • DOI: 10.1021/acs.jpcb.5b02056

A Monte Carlo simulation of the hydrophobic interaction
journal, January 1979

  • Pangali, C.; Rao, M.; Berne, B. J.
  • The Journal of Chemical Physics, Vol. 71, Issue 7
  • DOI: 10.1063/1.438701

Deblurred Observation of the Molecular Structure of an Oil−Water Interface
journal, March 2005

  • Ashbaugh, Henry S.; Pratt, Lawrence R.; Paulaitis, Michael E.
  • Journal of the American Chemical Society, Vol. 127, Issue 9
  • DOI: 10.1021/ja042600u

Works referencing / citing this record:

Water hydrogen degrees of freedom and the hydrophobic effect
journal, January 2019

  • Islam, Naeyma; Flint, Mahalia; Rick, Steven W.
  • The Journal of Chemical Physics, Vol. 150, Issue 1
  • DOI: 10.1063/1.5053239

Evaluation of second osmotic virial coefficients from molecular simulation following scaled-particle theory
journal, July 2019


Utility of chemical computations in predicting solution free energies of metal ions
journal, June 2017


On the behavior of the osmotic second virial coefficients of gases in aqueous solutions: Rigorous results, accurate approximations, and experimental evidence
journal, March 2019

  • Chialvo, Ariel A.; Crisalle, Oscar D.
  • The Journal of Chemical Physics, Vol. 150, Issue 12
  • DOI: 10.1063/1.5047525

Methane Hydration‐Shell Structure and Fragility
journal, October 2018

  • Wu, Xiangen; Lu, Wanjun; Streacker, Louis M.
  • Angewandte Chemie, Vol. 130, Issue 46
  • DOI: 10.1002/ange.201809372

The water molecule arrangement over the side chain of some aliphatic amino acids: A quantum chemical and bottom‐up investigation
journal, January 2020

  • Lanza, Giuseppe; Chiacchio, Maria A.
  • International Journal of Quantum Chemistry, Vol. 120, Issue 9
  • DOI: 10.1002/qua.26161

Methane Hydration‐Shell Structure and Fragility
journal, November 2018

  • Wu, Xiangen; Lu, Wanjun; Streacker, Louis M.
  • Angewandte Chemie International Edition, Vol. 57, Issue 46
  • DOI: 10.1002/anie.201809372