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On the adsorption of ions at charged sites in an electric field: I

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Abstract

Considering only nearest neighbor interactions, an expression is obtained for the grand partition function for the adsorption of two kinds of monovalent positive ions at a long chain of one type of monovalent negative fixed sites in an electric field. Expressions are obtained for the fractions of sites which are occupied by each kind of ion as well as of those which are unoccupied as a function of the potential of the electric field.

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Literature

  • Fowler, R. and E. A. Guggenheim. 1956.Statistical Thermodynamics. Cambridge Univ. Press.

  • ter Haar, D. 1954.Elements of Statistical Mechanics. New York: Holt, Rinehart and Winston.

    MATH  Google Scholar 

  • Hill, Terrel L. 1956.Statistical Mechanics. New York: McGraw-Hill.

    MATH  Google Scholar 

  • — 1957. “Some Statistical Problems Concerning Linear Macromolecules.”Jour. Polym. Sci. 23, 549–562.

    Article  Google Scholar 

  • Kramers, H. A. and G. H. Wannier. 1941. “Statistics of the Two-Dimensional Ferromagnet. Part I.”Phys. Rev.,60, 252–262.

    Article  MATH  MathSciNet  Google Scholar 

  • Lassettre, Edwin N. and John P. Howe. 1941. “Thermodynamic Properties of Binary Solid Solutions on the Basis of the Nearest Neighbor Approximation.”Jour. Chem. Phys.,9, 747–754.

    Article  Google Scholar 

  • Ling, G. N. 1962.A Physical Theory of the Living State; The Association-Induction Hypothesis. New York: Blaisdell Publ. Co., Div. Random House, Inc.

    Google Scholar 

  • Montroll, Elliott W. 1941. “Statistical Mechanics of Nearest Neighbor Systems.”Jour. Chem. Phys. 9, 706–721.

    Article  Google Scholar 

  • Onsager, Lars. 1944. “Crystal Statistics. I. A Two-Dimensional Model with an Order-disorder Transition.”Phys. Rev.,65, 117–149.

    Article  MATH  MathSciNet  Google Scholar 

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Author notes

  1. George Karreman

    Present address: Bockus Research Institute, University of Pennsylvania, Graduate Hospital, Philadelphia 46, Pa.

Authors and Affiliations

  1. Department of Basic Research, Eastern Pennsylvania Psychiatric Institute, Philadelphia, Pennsylvania

    George Karreman

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  1. George Karreman
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Karreman, G. On the adsorption of ions at charged sites in an electric field: I. Bulletin of Mathematical Biophysics 26, 49–55 (1964). https://doi.org/10.1007/BF02476621

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  • DOI: https://doi.org/10.1007/BF02476621

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