Application of an Approximate Percus-Yevick Equation for Liquid Water

An approximate Percus–Yevick equation for liquid water is suggested. The approximation involves the splitting of the potential of average force for two particles into a sum of a direct, angle‐dependent pair potential and an angle‐independent indirect potential. The angle‐dependent pair potential is chosen in such a way that the characteristic tetrahedral geometry for the relative orientation of two water molecules is favored. Employing this potential function in the integral equation produces a pair correlation function which carries the main features of the experimental pair correlation function for liquid water.

[1]  F. Stillinger,et al.  Hydrogen-bond energy nonadditivity in water☆ , 1970 .

[2]  J. A. Barker,et al.  Structure of water; A Monte Carlo calculation , 1969 .

[3]  Harold Conroy,et al.  Molecular Schrödinger Equation. VIII. A New Method for the Evaluation of Multidimensional Integrals , 1967 .

[4]  R. J. Bearman,et al.  Radial Distribution Functions for Binary Fluid Mixtures of Lennard‐Jones Molecules Calculated from the Percus—Yevick Equation , 1966 .

[5]  C. Haselgrove,et al.  A method for numerical integration , 1961 .

[6]  A. A. Broyles Radial Distribution Functions from the Born‐Green Integral Equation , 1960 .

[7]  Jerome K. Percus,et al.  Analysis of Classical Statistical Mechanics by Means of Collective Coordinates , 1958 .

[8]  J. D. Bernal,et al.  A Theory of Water and Ionic Solution, with Particular Reference to Hydrogen and Hydroxyl Ions , 1933 .

[9]  W. Kauzmann,et al.  The Structure and Properties of Water , 1969 .

[10]  John S. Rowlinson,et al.  Physics of simple liquids , 1968 .

[11]  H. A. Levy,et al.  X-ray diffraction study of liquid water in the temperature range 4–200°C , 1967 .

[12]  E. Whalley,et al.  The PVT properties of water , 1965, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[13]  D. Ives,et al.  Structure of aqueous electrolyte solutions and the hydration of ions , 1965 .

[14]  H. Friedman,et al.  Ionic Solution Theory , 1962 .

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

[16]  H. Chadwell The Molecular Structure of Water. , 2022 .