Conclusions
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1.
The Polanyi potential theory of adsorption (PTA) on macroporous adsorbents, and the Frenkel-Halsey-Hill equation in particular, can be derived by applying the Gibbs method to a system in an external field.
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2.
The FHH equation differs from the analogous equation derived by E. M. Lifshits, I. E. Dzyaloshinskii, and A. I. Pitaevskii insofar as the external field is included in the thermodynamic system in the first case but not in the second.
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3.
The change in the density at the adsorbate-vapor interface is not discontinuous but proceeds continuously over a transition layer, thus necessitating the introduction of an additional multiplicative factor, a function of the effective transition layer depth, into the potential theory equations.
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Literature cited
U. Stile, in: The Gas-Solid Interface Boundary [Russian translation], Mir (1970).
S. Brunauer, Adsorption of Gases and Vapors [Russian translation], IL (1948).
M. Polanyi, Trans. Faraday Soc.,28, 316 (1932).
B. P. Bering, M. M. Dubinin, and V. V. Serpinsky, J. Colloid Interface Sci.,38, 185 (1972).
Ya. I. Frenkel', Kinetic Theory of Liquids [in Russian], Izd. Akad. Nauk SSSR (1945), p. 369.
G. D. Halsey, J. Chem. Phys.,16, 931 (1948).
T. L. Hill, J. Chem. Phys.,17, 590, 688 (1949).
E. M. Lifshits, I. E. Dzyaloshinskii, and A. I. Pitaevskii, Usp. Fiz. Nauk,73, 381 (1961).
W. G. MacMillan and F. Teller, J. Chem. Phys.,19, 25 (1951); J. Phys. colloid Chem.,55, 17 (1951).
I. K. P. Birkhoff and B. G. Linsen, in: Structure and Properties of Adsorbents and Catalysts [Russian translation], Mir (1973).
A. G. Grivtsov, Dokl. Akad. Nauk SSSR,190, 868 (1970).
K. S. Liu, M. H. Kalos, and G. V. Chester, Phys. Rev.,A10, 303 (1975).
E. Waisman, D. Henderson, and J. L. Lebowitz, Mol. Phys.,32, 1373 (1976).
J. W. Gibbs, Papers on Thermodynamics [Russian translation], Gostekhteoretizdat, Moscow-Leningrad (1950), pp. 201, 356.
C. Kittel, Elementary Statistical Physics, Wiley (1958).
J. K. Percus, The Equilibrium Theory of Classical Fluids, W. A. Benjamin (1964), pp. 11–45.
S. Ono and S. Kondo, Molecular Theory of Surface Tension in Liquids [Russian translation], IL (1963), p. 244.
S. Toxvaerd, Progress in Surface Science, Vol. 3, Oxford-New York-Toronto-Sydney-Braunschweig (1972), p. 2.
F. F. Abraham, D. E. Schreiber, and J. A. Barker, J. Chem. Phys.,62, 1058 (1975).
T. S. Huang and W. W. Webb, J. Chem. Phys.,50, 3677 (1969).
R. H. Van Dongen, Dissertation, Uitgeverij Waltman-Delft, 1972, p. 86.
E. N. Trofima, F. M. Kuni, and A. I. Rusanov, Kolloidn. Zh.,31, 578 (1969).
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Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 8, pp. 1712–1718, August, 1977.
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Bakaev, V.A., Dubinin, M.M. & Korchagin, E.Y. Role of the liquid-vapor transition layer in the potential theory of adsorption. Russ Chem Bull 26, 1579–1584 (1977). https://doi.org/10.1007/BF00925153
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DOI: https://doi.org/10.1007/BF00925153