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Title: Predicting solvation free energies and thermodynamics in polar solvents and mixtures using a solvation-layer interface condition

Authors:
ORCiD logo [1];  [1];  [1]; ORCiD logo [2]; ORCiD logo [1]
  1. Department of Mechanical and Industrial Engineering, Northeastern University, Boston, Massachusetts 02115, USA
  2. Department of Computational and Applied Mathematics, Rice University, Houston, Texas 77005, USA
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1349362
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Name: Journal of Chemical Physics Journal Volume: 146 Journal Issue: 9; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics
Country of Publication:
United States
Language:
English

Citation Formats

Molavi Tabrizi, Amirhossein, Goossens, Spencer, Mehdizadeh Rahimi, Ali, Knepley, Matthew, and Bardhan, Jaydeep P. Predicting solvation free energies and thermodynamics in polar solvents and mixtures using a solvation-layer interface condition. United States: N. p., 2017. Web. doi:10.1063/1.4977037.
Molavi Tabrizi, Amirhossein, Goossens, Spencer, Mehdizadeh Rahimi, Ali, Knepley, Matthew, & Bardhan, Jaydeep P. Predicting solvation free energies and thermodynamics in polar solvents and mixtures using a solvation-layer interface condition. United States. https://doi.org/10.1063/1.4977037
Molavi Tabrizi, Amirhossein, Goossens, Spencer, Mehdizadeh Rahimi, Ali, Knepley, Matthew, and Bardhan, Jaydeep P. Tue . "Predicting solvation free energies and thermodynamics in polar solvents and mixtures using a solvation-layer interface condition". United States. https://doi.org/10.1063/1.4977037.
@article{osti_1349362,
title = {Predicting solvation free energies and thermodynamics in polar solvents and mixtures using a solvation-layer interface condition},
author = {Molavi Tabrizi, Amirhossein and Goossens, Spencer and Mehdizadeh Rahimi, Ali and Knepley, Matthew and Bardhan, Jaydeep P.},
abstractNote = {},
doi = {10.1063/1.4977037},
journal = {Journal of Chemical Physics},
number = 9,
volume = 146,
place = {United States},
year = {Tue Mar 07 00:00:00 EST 2017},
month = {Tue Mar 07 00:00:00 EST 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1063/1.4977037

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Cited by: 10 works
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Works referenced in this record:

Charge Asymmetries in Hydration of Polar Solutes
journal, February 2008

  • Mobley, David L.; Barber, Alan E.; Fennell, Christopher J.
  • The Journal of Physical Chemistry B, Vol. 112, Issue 8
  • DOI: 10.1021/jp709958f

Using simulation to study solvation in water
journal, January 2001

  • Lynden-Bell, R. M.; Rasaiah, J. C.; Noworyta, J. P.
  • Pure and Applied Chemistry, Vol. 73, Issue 11
  • DOI: 10.1351/pac200173111721

Electrostatics of nanosystems: Application to microtubules and the ribosome
journal, August 2001

  • Baker, N. A.; Sept, D.; Joseph, S.
  • Proceedings of the National Academy of Sciences, Vol. 98, Issue 18, p. 10037-10041
  • DOI: 10.1073/pnas.181342398

Role of Local Response in Ion Solvation: Born Theory and Beyond
journal, April 2016

  • Remsing, Richard C.; Weeks, John D.
  • The Journal of Physical Chemistry B, Vol. 120, Issue 26
  • DOI: 10.1021/acs.jpcb.6b02238

Application of the mean spherical approximation to describe the Gibbs solvation energies of monovalent monoatomic ions in polar solvents
journal, January 1992

  • Blum, L.; Fawcett, W. R.
  • The Journal of Physical Chemistry, Vol. 96, Issue 1
  • DOI: 10.1021/j100180a076

Molecular Interactions in Solution: An Overview of Methods Based on Continuous Distributions of the Solvent
journal, November 1994

  • Tomasi, Jacopo; Persico, Maurizio
  • Chemical Reviews, Vol. 94, Issue 7
  • DOI: 10.1021/cr00031a013

Dielectric Constants of some Organic Solvent-Water Mixtures at Various Temperatures
journal, November 1932

  • Akerlof, Gosta
  • Journal of the American Chemical Society, Vol. 54, Issue 11
  • DOI: 10.1021/ja01350a001

Nonexponential solvation dynamics of simple liquids and mixtures
journal, April 1991


Preferential solvation of spherical ions in binary DMSO/benzene mixtures
journal, January 2009

  • Basilevsky, Mikhail; Odinokov, Alexey; Nikitina, Ekaterina
  • The Journal of Chemical Physics, Vol. 130, Issue 2
  • DOI: 10.1063/1.3010707

The charge-asymmetric nonlocally determined local-electric (CANDLE) solvation model
journal, February 2015

  • Sundararaman, Ravishankar; Goddard, William A.
  • The Journal of Chemical Physics, Vol. 142, Issue 6
  • DOI: 10.1063/1.4907731

Multistate Gaussian Model for Electrostatic Solvation Free Energies
journal, September 1997

  • Hummer, Gerhard; Pratt, Lawrence R.; García, Angel E.
  • Journal of the American Chemical Society, Vol. 119, Issue 36
  • DOI: 10.1021/ja971148u

Theory of Solutions of Molecules Containing Widely Separated Charges with Special Application to Zwitterions
journal, July 1934

  • Kirkwood, John G.
  • The Journal of Chemical Physics, Vol. 2, Issue 7
  • DOI: 10.1063/1.1749489

Dielectric relaxation studies of aqueous N,N-dimethylformamide using a picosecond time domain technique
journal, March 1993

  • Kumbharkhane, A. C.; Puranik, S. M.; Mehrotra, S. C.
  • Journal of Solution Chemistry, Vol. 22, Issue 3
  • DOI: 10.1007/bf00649245

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


Electrostatic fluctuations in cavities within polar liquids and thermodynamics of polar solvation
journal, October 2008


Extension of a Temperature-Dependent Aqueous Solvation Model to Compounds Containing Nitrogen, Fluorine, Chlorine, Bromine, and Sulfur
journal, March 2008

  • Chamberlin, Adam C.; Cramer, Christopher J.; Truhlar, Donald G.
  • The Journal of Physical Chemistry B, Vol. 112, Issue 10
  • DOI: 10.1021/jp076682v

Communication: Modeling charge-sign asymmetric solvation free energies with nonlinear boundary conditions
journal, October 2014

  • Bardhan, Jaydeep P.; Knepley, Matthew G.
  • The Journal of Chemical Physics, Vol. 141, Issue 13
  • DOI: 10.1063/1.4897324

The COSMO and COSMO-RS solvation models: The COSMO and COSMO-RS solvation models
journal, April 2011

  • Klamt, Andreas
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 1, Issue 5
  • DOI: 10.1002/wcms.56

Dielectric constants and densities of aqueous mixtures of 2-alkoxyethanols at 25.degree.C
journal, January 1988

  • Douheret, Gerard; Pal, Amalendu
  • Journal of Chemical & Engineering Data, Vol. 33, Issue 1
  • DOI: 10.1021/je00051a014

On the calculation of electrostatic interactions in proteins
journal, August 1985


Convergence of Molecular and Macroscopic Continuum Descriptions of Ion Hydration
journal, August 2000

  • Ashbaugh, Henry S.
  • The Journal of Physical Chemistry B, Vol. 104, Issue 31
  • DOI: 10.1021/jp0015067

Theory of dielectric constant of aqueous solutions
journal, March 2002

  • Suresh, S. J.; Naik, V. M.
  • The Journal of Chemical Physics, Vol. 116, Issue 10
  • DOI: 10.1063/1.1445112

On the Dielectric “Constant” of Proteins: Smooth Dielectric Function for Macromolecular Modeling and Its Implementation in DelPhi
journal, March 2013

  • Li, Lin; Li, Chuan; Zhang, Zhe
  • Journal of Chemical Theory and Computation, Vol. 9, Issue 4
  • DOI: 10.1021/ct400065j

Calculation of Solvation Free Energies with DCOSMO-RS
journal, December 2014

  • Klamt, Andreas; Diedenhofen, Michael
  • The Journal of Physical Chemistry A, Vol. 119, Issue 21
  • DOI: 10.1021/jp511158y

A stringent test of the cavity concept in continuum dielectrics
journal, November 1997

  • Papazyan, Arno; Warshel, Arieh
  • The Journal of Chemical Physics, Vol. 107, Issue 19
  • DOI: 10.1063/1.475059

Classical electrostatics in biology and chemistry
journal, May 1995


Rapid Prediction of Solvation Free Energy. 2. The First-Shell Hydration (FiSH) Continuum Model
journal, April 2010

  • Corbeil, Christopher R.; Sulea, Traian; Purisima, Enrico O.
  • Journal of Chemical Theory and Computation, Vol. 6, Issue 5
  • DOI: 10.1021/ct9006037

Electrostatic Interactions in Macromolecules: Theory and Applications
journal, June 1990


A Failure of Continuum Theory:  Temperature Dependence of the Solvent Reorganization Energy of Electron Transfer in Highly Polar Solvents
journal, October 1999

  • Vath, Peter; Zimmt, Matthew B.; Matyushov, Dmitry V.
  • The Journal of Physical Chemistry B, Vol. 103, Issue 43
  • DOI: 10.1021/jp990494q

Quasichemical and structural analysis of polarizable anion hydration
journal, January 2010

  • Rogers, David M.; Beck, Thomas L.
  • The Journal of Chemical Physics, Vol. 132, Issue 1
  • DOI: 10.1063/1.3280816

Unravelling the solvent response to neutral and charged solutes
journal, January 2007


Electrostatic Interactions in Membranes and Proteins
journal, June 1986


Poisson-Boltzmann Calculations of Nonspecific Salt Effects on Protein-Protein Binding Free Energies
journal, March 2007


Introducing Charge Hydration Asymmetry into the Generalized Born Model
journal, March 2014

  • Mukhopadhyay, Abhishek; Aguilar, Boris H.; Tolokh, Igor S.
  • Journal of Chemical Theory and Computation, Vol. 10, Issue 4
  • DOI: 10.1021/ct4010917

Continuum Solvation Model for Studying Protein Hydration Thermodynamics at High Temperatures
journal, November 1997

  • Elcock, Adrian H.; McCammon, J. Andrew
  • The Journal of Physical Chemistry B, Vol. 101, Issue 46
  • DOI: 10.1021/jp971903q

Continuum Solvation Models in the Linear Interaction Energy Method
journal, June 2006

  • Carlsson, Jens; Andér, Martin; Nervall, Martin
  • The Journal of Physical Chemistry B, Vol. 110, Issue 24
  • DOI: 10.1021/jp056929t

Collins’s rule, Hofmeister effects and ionic dispersion interactions
journal, July 2014


Hydration free energy of water
journal, September 1995

  • Hummer, Gerhard; Pratt, Lawrence R.; Garcia, Angel E.
  • The Journal of Physical Chemistry, Vol. 99, Issue 38
  • DOI: 10.1021/j100038a062

The Dielectric Constant of Dioxane—Water Mixtures between 0 and 80°
journal, July 1936

  • Åkerlöf, Gösta; Short, Oliver A.
  • Journal of the American Chemical Society, Vol. 58, Issue 7
  • DOI: 10.1021/ja01298a044

Generalising the mean spherical approximation as a multiscale, nonlinear boundary condition at the solute–solvent interface
journal, March 2016

  • Tabrizi, Amirhossein Molavi; Knepley, Matthew G.; Bardhan, Jaydeep P.
  • Molecular Physics, Vol. 114, Issue 16-17
  • DOI: 10.1080/00268976.2016.1198503

Ionic solvation in water–cosolvent mixtures. Part 15.—Free energies of transfer of single ions from water into water–dimethylformamide mixtures
journal, January 1988

  • Sidahmed, Ibrahim M.; Wells, Cecil F.
  • Journal of the Chemical Society, Faraday Transactions 1: Physical Chemistry in Condensed Phases, Vol. 84, Issue 4
  • DOI: 10.1039/f19888401153

Size dependent ion hydration, its asymmetry, and convergence to macroscopic behavior
journal, March 2004

  • Rajamani, Sowmianarayanan; Ghosh, Tuhin; Garde, Shekhar
  • The Journal of Chemical Physics, Vol. 120, Issue 9
  • DOI: 10.1063/1.1644536

Ionic solvation in water + co-solvent mixtures. Part 6.—Free energies of transfer of single ions from water into water + dioxan mixtures
journal, January 1978

  • Wells, Cecil F.
  • Journal of the Chemical Society, Faraday Transactions 1: Physical Chemistry in Condensed Phases, Vol. 74, Issue 0
  • DOI: 10.1039/f19787401569

Dependence of ion hydration on the sign of the ion’s charge
journal, January 2005

  • Grossfield, Alan
  • The Journal of Chemical Physics, Vol. 122, Issue 2
  • DOI: 10.1063/1.1829036

Understanding the Surface Potential of Water
journal, April 2011

  • Kathmann, Shawn M.; Kuo, I-Feng William; Mundy, Christopher J.
  • The Journal of Physical Chemistry B, Vol. 115, Issue 15
  • DOI: 10.1021/jp1116036

Analytical solution of the mean spherical approximation for an arbitrary mixture of ions in a dipolar solvent
journal, July 1987

  • Blum, L.; Wei, D. Q.
  • The Journal of Chemical Physics, Vol. 87, Issue 1
  • DOI: 10.1063/1.453604

The Free Energy of Hydration of Gaseous Ions, and the Absolute Potential of the Normal Calomel Electrode
journal, February 1939

  • Latimer, Wendell M.; Pitzer, Kenneth S.; Slansky, Cyril M.
  • The Journal of Chemical Physics, Vol. 7, Issue 2
  • DOI: 10.1063/1.1750387

Solvation of complex molecules in a polar liquid: An integral equation theory
journal, June 1996

  • Beglov, Dmitrii; Roux, Benoît
  • The Journal of Chemical Physics, Vol. 104, Issue 21
  • DOI: 10.1063/1.471557

Calculated Hydration Free Energies of Small Organic Molecules Using a Nonlinear Dielectric Continuum Model
journal, August 2002

  • Sandberg, Lars; Casemyr, Rickard; Edholm, Olle
  • The Journal of Physical Chemistry B, Vol. 106, Issue 32
  • DOI: 10.1021/jp020434b

The dielectric continuum solvent model adapted for treating preferential solvation effects
journal, September 2011


Ionic solvation in water + co-solvent mixtures
journal, October 1992


Reevaluation of the Born model of ion hydration
journal, December 1985

  • Rashin, Alexander A.; Honig, Barry
  • The Journal of Physical Chemistry, Vol. 89, Issue 26
  • DOI: 10.1021/j100272a006

Ion Solvation in Liquid Mixtures: Effects of Solvent Reorganization
journal, December 2012


Solvation of Fluoride Ions. 3. a Review of Fluoride Solvation Thermodynamics in Nonaqueous and Mixed Solvents
journal, January 1989


Dielectric behavior of DNA in water–organic co-solvent mixtures
journal, April 2006


Atomic Radii for Continuum Electrostatics Calculations Based on Molecular Dynamics Free Energy Simulations
journal, June 1997

  • Nina, Mafalda; Beglov, Dmitri; Roux, Benoît
  • The Journal of Physical Chemistry B, Vol. 101, Issue 26
  • DOI: 10.1021/jp970736r

Comparative study of generalized Born models: Protein dynamics
journal, April 2005

  • Fan, H.; Mark, A. E.; Zhu, J.
  • Proceedings of the National Academy of Sciences, Vol. 102, Issue 19
  • DOI: 10.1073/pnas.0408857102

Polarization and charge transfer in the hydration of chloride ions
journal, January 2010

  • Zhao, Zhen; Rogers, David M.; Beck, Thomas L.
  • The Journal of Chemical Physics, Vol. 132, Issue 1
  • DOI: 10.1063/1.3283900

On the energy components governing molecular recognition in the framework of continuum approaches
journal, March 2015


Solvent reaction field potential inside an uncharged globular protein: A bridge between implicit and explicit solvent models?
journal, October 2007

  • Cerutti, David S.; Baker, Nathan A.; McCammon, J. Andrew
  • The Journal of Chemical Physics, Vol. 127, Issue 15
  • DOI: 10.1063/1.2771171

Ionic partial molar heat capacities in non-aqueous solvents
journal, January 1996

  • Marcus, Yizhak; Hefter, Glenn
  • Journal of the Chemical Society, Faraday Transactions, Vol. 92, Issue 5
  • DOI: 10.1039/ft9969200757

Continuum Solvation Models: What Else Can We Learn from Them?
journal, April 2010

  • Mennucci, Benedetta
  • The Journal of Physical Chemistry Letters, Vol. 1, Issue 10
  • DOI: 10.1021/jz100506s

Performance of Nonlinear Finite-Difference Poisson−Boltzmann Solvers
journal, November 2009

  • Cai, Qin; Hsieh, Meng-Juei; Wang, Jun
  • Journal of Chemical Theory and Computation, Vol. 6, Issue 1
  • DOI: 10.1021/ct900381r

Dielectric relaxation study of diethylsulfoxide/water mixtures
journal, June 2009


Experimental and computational approaches to estimate solubility and permeability in drug discovery and development settings
journal, December 2012

  • Lipinski, Christopher A.; Lombardo, Franco; Dominy, Beryl W.
  • Advanced Drug Delivery Reviews, Vol. 64
  • DOI: 10.1016/j.addr.2012.09.019

Ionic solvation in methanol + water mixtures. Free energies of transfer from water
journal, January 1973

  • Wells, Cecil F.
  • Journal of the Chemical Society, Faraday Transactions 1: Physical Chemistry in Condensed Phases, Vol. 69, Issue 0
  • DOI: 10.1039/f19736900984

Thermodynamics of ion solvation in water and propylene carbonate
journal, June 1970


Free energy calculations of ion hydration: an analysis of the Born model in terms of microscopic simulations
journal, May 1989

  • Jayaram, B.; Fine, Richard; Sharp, Kim
  • The Journal of Physical Chemistry, Vol. 93, Issue 10
  • DOI: 10.1021/j100347a081

The Aqueous Solvation of Water: A Comparison of Continuum Methods with Molecular Dynamics
journal, May 1994

  • Rick, Steven W.; Berne, B. J.
  • Journal of the American Chemical Society, Vol. 116, Issue 9
  • DOI: 10.1021/ja00088a034

A statistical mechanical description of biomolecular hydration
journal, January 1996

  • Hummer, Gerhard; García, Angel E.; Soumpasis, D. Mario
  • Faraday Discuss., Vol. 103
  • DOI: 10.1039/fd9960300175

Length scales and interfacial potentials in ion hydration
journal, July 2013

  • Shi, Yu; Beck, Thomas L.
  • The Journal of Chemical Physics, Vol. 139, Issue 4
  • DOI: 10.1063/1.4814070

Structure of tert -Butyl Alcohol−Water Mixtures Studied by the RISM Theory
journal, May 2002

  • Yoshida, Koji; Yamaguchi, Toshio; Kovalenko, Andriy
  • The Journal of Physical Chemistry B, Vol. 106, Issue 19
  • DOI: 10.1021/jp013400x

The role of dipole—dipole interactions in the solvation of monoatomic monovalent ions in water on the basis of the mean spherical approximation
journal, August 1993


Evaluating the transferability of coarse-grained, density-dependent implicit solvent models to mixtures and chains
journal, January 2009

  • Allen, Erik C.; Rutledge, Gregory C.
  • The Journal of Chemical Physics, Vol. 130, Issue 3
  • DOI: 10.1063/1.3055594

Restoring Charge Asymmetry in Continuum Electrostatics Calculations of Hydration Free Energies
journal, June 2009

  • Purisima, Enrico O.; Sulea, Traian
  • The Journal of Physical Chemistry B, Vol. 113, Issue 24
  • DOI: 10.1021/jp9020799

Calculation of the total electrostatic energy of a macromolecular system: Solvation energies, binding energies, and conformational analysis
journal, January 1988

  • Gilson, Michael K.; Honig, Barry
  • Proteins: Structure, Function, and Genetics, Vol. 4, Issue 1
  • DOI: 10.1002/prot.340040104

Quantifying Water Density Fluctuations and Compressibility of Hydration Shells of Hydrophobic Solutes and Proteins
journal, July 2009


Continuous development of schemes for parallel computing of the electrostatics in biological systems: Implementation in DelPhi
journal, June 2013

  • Li, Chuan; Petukh, Marharyta; Li, Lin
  • Journal of Computational Chemistry, Vol. 34, Issue 22
  • DOI: 10.1002/jcc.23340

Ab Initio Characterization of the Electrochemical Stability and Solvation Properties of Condensed-Phase Ethylene Carbonate and Dimethyl Carbonate Mixtures
journal, January 2015

  • Barnes, Taylor A.; Kaminski, Jakub W.; Borodin, Oleg
  • The Journal of Physical Chemistry C, Vol. 119, Issue 8
  • DOI: 10.1021/jp510882g

Physical Modeling of Aqueous Solvation
journal, June 2011


An Overview of Electrostatic Free Energy Computations for Solutions and Proteins
journal, June 2014

  • Lin, Yen-Lin; Aleksandrov, Alexey; Simonson, Thomas
  • Journal of Chemical Theory and Computation, Vol. 10, Issue 7
  • DOI: 10.1021/ct500195p

Ionic solvation in water–cosolvent mixtures. Part 11.—Free energies of transfer of single ions from water into water–urea mixtures
journal, January 1985

  • Groves, Grahame S.; Wells, Cecil F.
  • Journal of the Chemical Society, Faraday Transactions 1: Physical Chemistry in Condensed Phases, Vol. 81, Issue 12
  • DOI: 10.1039/f19858103091

Ionic solvation in water + cosolvent mixtures. Part 9.—Free energies of transfer of single ions from water into water + ethanol mixtures
journal, January 1984

  • Wells, Cecil F.
  • Journal of the Chemical Society, Faraday Transactions 1: Physical Chemistry in Condensed Phases, Vol. 80, Issue 9
  • DOI: 10.1039/f19848002445

Dielectric Constants: Ethanol—Diethyl Ether and Urea—Water Solutions between 0 and 50°
journal, October 1933

  • Wyman, Jeffries
  • Journal of the American Chemical Society, Vol. 55, Issue 10
  • DOI: 10.1021/ja01337a029

Three-dimensional density profiles of water in contact with a solute of arbitrary shape: a RISM approach
journal, June 1998


Ionic solvation in water + cosolvent mixtures. Part 10.—Free energies of transfer of single ions from water into water + ethanonitrile mixtures
journal, January 1985

  • Groves, Grahame S.; Wells, Cecil F.
  • Journal of the Chemical Society, Faraday Transactions 1: Physical Chemistry in Condensed Phases, Vol. 81, Issue 8
  • DOI: 10.1039/f19858101985

Affine-response model of molecular solvation of ions: Accurate predictions of asymmetric charging free energies
journal, September 2012

  • Bardhan, Jaydeep P.; Jungwirth, Pavel; Makowski, Lee
  • The Journal of Chemical Physics, Vol. 137, Issue 12
  • DOI: 10.1063/1.4752735

Ionic solvation in water + Co-solvent mixtures. Part 2.—Free energies of transfer of single ions from water into mixtures of water with acetone, isopropanol, glycerol or methanol
journal, January 1974

  • Wells, Cecil F.
  • Journal of the Chemical Society, Faraday Transactions 1: Physical Chemistry in Condensed Phases, Vol. 70, Issue 0
  • DOI: 10.1039/f19747000694

Field strength dependence of dielectric saturation in liquid water
journal, November 1990

  • Alper, Howard E.; Levy, Ronald M.
  • The Journal of Physical Chemistry, Vol. 94, Issue 22
  • DOI: 10.1021/j100385a008

Three-Dimensional Molecular Theory of Solvation Coupled with Molecular Dynamics in Amber
journal, February 2010

  • Luchko, Tyler; Gusarov, Sergey; Roe, Daniel R.
  • Journal of Chemical Theory and Computation, Vol. 6, Issue 3
  • DOI: 10.1021/ct900460m

Ionic solvation in water + co-solvent mixtures. Part 7.—Free energies of transfer of single ions from water into water + dimethylsulphoxide mixtures
journal, January 1981

  • Wells, Cecil F.
  • Journal of the Chemical Society, Faraday Transactions 1: Physical Chemistry in Condensed Phases, Vol. 77, Issue 7
  • DOI: 10.1039/f19817701515

Rapid grid-based construction of the molecular surface and the use of induced surface charge to calculate reaction field energies: Applications to the molecular systems and geometric objects
journal, November 2001

  • Rocchia, Walter; Sridharan, Sundaram; Nicholls, Anthony
  • Journal of Computational Chemistry, Vol. 23, Issue 1
  • DOI: 10.1002/jcc.1161