The solvation and hydrophobic interaction of non-polar molecules in water in the approximation of interatomic potentials: The Monte Carlo method

The problem of calculating thermodynamic functions of solvation and hydrophobic interaction of non-polar molecules in water is considered, and the functions of ‘switched off’ interaction which allow one to compare calculated and experimental data are introduced and discussed. Expressions for the free energies, entropies and internal energies of solvation and hydrophobic interaction are deduced by statistical mechanics, and the possibility of computing these quantities from information about interatomic potential functions is considered. An application of the Monte Carlo method with the Boltzmann transition probabilities between the states of a Markov chain has allowed us to evaluate configuration integrals and thermodynamic functions of solvation and hydrophobic interaction. For solvation, the calculated values are in good agreement with the experimental data if the periodic boundary conditions are observed, and in moderate agreement should these be neglected. For hydrophobic interaction, the plot of F HI...

[1]  I. Tinoco,et al.  The stability of helical polynucleotides: base contributions. , 1962, Journal of molecular biology.

[2]  T. Ackermann Regular and Related Solutions , 1973 .

[3]  Harold A. Scheraga,et al.  Structure of Water and Hydrophobic Bonding in Proteins. II. Model for the Thermodynamic Properties of Aqueous Solutions of Hydrocarbons , 1962 .

[4]  H. Scheraga,et al.  THE STRUCTURE OF WATER AND HYDROPHOBIC BONDING IN PROTEINS. III. THE THERMODYNAMIC PROPERTIES OF HYDROPHOBIC BONDS IN PROTEINS1,2 , 1962 .

[5]  Henry S. Frank,et al.  Free Volume and Entropy in Condensed Systems III. Entropy in Binary Liquid Mixtures; Partial Molal Entropy in Dilute Solutions; Structure and Thermodynamics in Aqueous Electrolytes , 1945 .

[6]  W. Wen,et al.  Thermodynamics of hydrocarbon gases in aqueous tetraalkylammonium salt solutions , 1970 .

[7]  G. Elefante,et al.  Role of Van der Waals Interaction on Hindered Rotation about Single Bonds in Simple Molecules , 1967, Nature.

[8]  G. Sarkisov,et al.  The thermodynamics and structure of liquid water , 1974 .

[9]  W. L. Masterton Partial Molal Volumes of Hydrocarbons in Water Solution , 1954 .

[10]  A. Ben-Naim Statistical Mechanical Study of Hydrophobic Interaction. I. Interaction between Two Identical Nonpolar Solute Particles , 1971 .

[11]  A. Kitaygorodsky Calculation of conformations of organic molecules , 1960 .

[12]  D. N. Glew AQUEOUS SOLUBILITY AND THE GAS-HYDRATES. THE METHANE-WATER SYSTEM1 , 1962 .

[13]  C. F. Curtiss,et al.  Molecular Theory Of Gases And Liquids , 1954 .

[14]  John S. Rowlinson,et al.  Liquids and liquid mixtures , 1959 .

[15]  Howard Reiss,et al.  Aspects of the Statistical Thermodynamics of Real Fluids , 1960 .

[16]  J. Butler The energy and entropy of hydration of organic compounds , 1937 .

[17]  H. S. Frank The Structure of Ordinary Water , 1970, Science.

[18]  S. D. Groot,et al.  Thermodynamical properties of ethylene under pressures up to 3000 atmospheres and temperatures between 0° and 150°C, tabulated as functions of density , 1946 .

[19]  R. Pierotti,et al.  THE SOLUBILITY OF GASES IN LIQUIDS1 , 1963 .

[20]  D. D. Eley On the solubility of gases. Part I.—The inert gases in water , 1939 .

[21]  Walter Kauzmann,et al.  The Structure and Properties of Water , 1969 .

[22]  W. Kauzmann Some factors in the interpretation of protein denaturation. , 1959, Advances in protein chemistry.