Microscopic surface tension down to molecular dimensions and microthermodynamic surface areas of molecules or clusters

Surface tension, surface energy, and entropy of small droplets, n clusters, and of cavities in liquids for sizes down to a single molecule are obtained. Rigourous relations are derived that relate microsurface properties to the usual handbook properties of bulk liquids. The microvalues and their dependence on the ratio of the cluster, droplet, or cavity size to the average liquid molecular size are given for common solvents, polar and nonpolar, including alcohols, water, hydrocarbons, rare gas liquids, and liquid (or solid) metals. Microscopic values are less than bulk‐planar values by around 40% for nonpolar liquids, and greater for polar liquids by around 60%. The n‐cluster (or cavity) sizes ? at which the microsurface properties approach the bulk values within a desired percentage, e.g., 5%, are given. The ordinary, bulk thermodynamic properties of liquids are also related to new useful quantities: ’’microthermodynamic surface areas’’ of molecules from which, using the equations given, ’’experimental’’...

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

[2]  Stanton S. Miller Adsorption on carbon: Part 2. solvent effects on adsorption , 1980 .

[3]  S. Abdulnur,et al.  HYDROPHOBIC STACKING OF BASES AND THE SOLVENT DENATURATION OF DNA * , 1964 .

[4]  Vincent McKoy,et al.  Theory of Dissociation Pressures of Some Gas Hydrates , 1963 .

[5]  R. Zahradník,et al.  Clusters of hydrogen molecules: Ab initio SCF calculations corrected semiempirically for correlation energies , 1979 .

[6]  J. F. Hamilton,et al.  Catalysis by Small Metal Clusters , 1979, Science.

[7]  F. Stillinger Density Expansions for Effective Pair Potentials , 1972 .

[8]  C. Horváth,et al.  Solvophobic interactions in liquid chromatography with nonpolar stationary phases , 1976 .

[9]  O. Sǐnanoğlu,et al.  Medium‐Dependent Intermolecular Potential for Liquids and Its Use in Obtaining Free Energy and Entropy , 1968 .

[10]  T. Halicioǧlu,et al.  SOLVENT EFFECTS ON CIS‐TRANS AZOBENZENE ISOMERIZATION: A DETAILED APPLICATION OF A THEORY OF SOLVENT EFFECTS ON MOLECULAR ASSOCIATION * , 1969 .

[11]  F. P. Buff Spherical Interface. II. Molecular Theory , 1955 .

[12]  O. Sǐnanoğlu The C-potential surface for predicting conformations of molecules in solution , 1974 .

[13]  S. Mayer Dependence of Surface Tension on Temperature , 1963 .

[14]  C. Horváth,et al.  Salt effect on hydrophobic interactions in precipitation and chromatography of proteins: an interpretation of the lyotropic series. , 1977, Archives of biochemistry and biophysics.

[15]  H. Wakeshima On the Theory of the Fracture of Liquids , 1961 .

[16]  R. Tolman The Effect of Droplet Size on Surface Tension , 1949 .

[17]  O. Sǐnanoğlu An intermolecular potential for use in liquids , 1967 .