Abstract
The effect the vibrational motion of inert gas atoms in the bound states at an arbitrary density of a vapor–liquid system has on the equilibrium concentration dependence of the chemical potential on density is considered for the first time. Both the potential energy of interaction between atoms and their vibrations in the bound states, starting from an isolated dimer to a dense phase, are considered. Calculations are made using the lattice gas model (LGM) for a one-dimensional fluid. Spatial atomic distributions are described in a quasi-chemical approximation. Local frequencies of atoms are calculated in a quasi-dimer model of vibrational motion. At the same time, the translational motion of atoms when they move to neighboring vacant cells are considered. The calculations are made in two versions of the theory: discrete and continuum. The latter reflects the motion of the center of mass inside the cells into which the entire volume is partitioned in the LGM. It is found that allowing for the vibrations of atoms in the bound states at a fixed density of the system shifts the chemical potential to lower values.
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REFERENCES
Yu. K. Tovbin, Russ. J. Phys. Chem. A 93, 603 (2019).
H. D. Ursell, Proc. Cambridge Phil. Soc. 23, 685 (1927).
J. Mayer and M. Goeppert-Mayer, Statistical Mechanics (Wiley, New York, 1961).
N. N. Bogolyubov, Problems of Dynamical Theory in Statistical Physics (Gostekhizdat, Moscow, 1946; North-Holland, Amsterdam, 1961).
C. Croxton, Liquid State Physics (Cambridge Univ., London, 1974).
G. A. Martynov, Classical Statistical Mechanics. Theory of Fluids (Intellekt, Dolgoprudnyi, 2011) [in Russian].
I. Z. Fisher, Statistical Theory of Liquids (Univ. Chicago Press, Chicago, 1964; GIFML, Moscow, 1961).
I. A. Kvasnikov, Thermodynamics and Statistical Physics, Vol. 2: Theory of Equilibrium Systems: Statistical Physics, 2nd ed. (Editorial URSS, Moscow, 2002) [in Russian].
J. Frenkel, J. Chem. Phys. 7, 200 (1939).
W. Band, J. Chem. Phys. 7, 324 (1939).
W. Band, J. Chem. Phys. 7, 927 (1939).
T. Hill, Statistical Mechanics;Principles and Selected Applications (Dover, New York, 1987).
T. L. Hill, J. Chem. Phys. 23, 617 (1955).
Yu. K. Tovbin, The Molecular Theory of Adsorption in Porous Solids (Fizmatlit, Moscow, 2012; CRC, Boca Raton, FL, 2017).
I. Prigogine, The Molecular Theory of Solution (North Holland, Amsterdam, 1957).
J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids (Wiley, New York, 1967)
E. A. Moelwin-Hughes, Physical Chemistry (Pergamon, London, New York, Paris, 1961), Vol. 1.
E. V. Votyakov and Yu. K. Tovbin, Russ. J. Phys. Chem. A 94, 1732 (2020).
E. A. Guggenheim, Mixtures (Claredon Press, Oxford, 1952).
J. A. Barker, J. Chem. Phys. 20, 1526 (1956).
N. A. Smirnova, Molecular Theories of Solutions (Khimiya, Leningrad, 1987) [in Russian].
Yu. K. Tovbin, Theory of Physicochemical Processes at the Gas–Solid Interface (Nauka, Moscow, 1990; CRC, Boca Raton, FL, 1991).
Yu. K. Tovbin, Russ. J. Phys. Chem. A 87, 906 (2013).
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The work was supported by the Russian Foundation for Basic Research, project 18-03-00030a.
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Translated by L. Chernikova
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Tovbin, Y.K., Votyakov, E.V. Effect of Inert Gas Vibrations in Bound States on the Equilibrium of a Vapor-Liquid System. Russ. J. Phys. Chem. 94, 1952–1956 (2020). https://doi.org/10.1134/S0036024420090290
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DOI: https://doi.org/10.1134/S0036024420090290