Abstract
The effect of the system volume limitation on the thermodynamic characteristics of a vapor–liquid interface, that is, the phase states of a substance and the surface tension, is considered. The molecular theory is used based on the lattice gas model, which describes the two-phase state of a vapor–liquid system. To simplify the calculations, the molecular characteristics of the spherical interface of a drop inside a spherical region of vapor having a single dimensional parameter, namely, the radius of the system, are assessed. It is found that, when the radius of the system decreases, the critical temperature decreases, while the internal pressure, the chemical potential, and the surface tension increase.
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Uvarov, N.F. and Boldyrev, V.V, Usp. Khim., 2001, vol. 70, no. 4, p. 307.
Petrii, O.A. and Tsirlina, G.A, Usp. Khim., 2001, vol. 70, no. 4, p. 330.
Haruta, M. and Date, M, Appl. Catal., A, 2001, vol. 222, p. 427.
Daniel, M.-C. and Austric, D, Chem. Rev., 2004, vol. 104, p. 293.
Haruta, M, Gold Bull., 2004, vol. 37, nos. 1–2, p. 27.
Smirnov, V.V., Lanin, S.N., Vasil’kov, A.Yu., et al, Izv. Akad. Nauk, Ser. Khim., 2005, no. 10, p. 2215.
Rostovshchikova, T.N., Smirnov, V.V., Kozhevin, V.M., et al, Ross. Nanotekhnol., 2007, vol. 2, nos. 1–2, p. 47.
Eliseev, A.A. and Lukashin, A.V., Funktsional’nye nanomaterialy (Functional Nanomaterials), Moscow: Fizmatlit, 2010.
Suzdalev, I.P., Nanotekhnologiya: fiziko-khimiya nanoklasterov, nanonostruktur i nanomaterialov (Nanotechnology: Physical Chemistry of Nanoclusters, Nanostructures, and Nanomaterials), Moscow: Kom-Kniga, 2006.
Suzdalev, I.P., Elektricheskie i magnitnye perekhody v nanoklasterakh i nanostrukturakh (Electrical and Magnetic Transitions in Nanoclusters and Nanostructures), Moscow: Krasand, 2011.
Springer Handbook of Nanotechnology, Bhushan, B., Ed., Berlin, Heidelberg, New York: Springer, 2007.
Polukhin, V.A. and Vatolin, N.A., Modelirovanie razuporyadochennykh i nanostrukturirovannykh faz (Simulation of Disordered and Nanostructured Phases), Yekaterinburg: Ural Branch Russ. Acad. Sci., 2011.
Tovbin, Yu.K, Russ. J. Phys. Chem. A, 2010, vol. 84, no. 4, p. 705.
Tovbin, Yu.K, Russ. J. Phys. Chem. A, 2010, vol. 84, no. 10, p. 1717.
Tovbin, Yu.K, Russ. J. Phys. Chem. A, 2012, vol. 86, no. 9, p. 1356.
Tovbin, Yu.K, Russ. J. Phys. Chem. A, 2015, vol. 89, no. 3, p. 547.
Gibbs, J.W., Elementary Principles in Statistical Mechanics, New York: Dover Publ., 1960.
Jaycock, M.J. and Parfitt, G.D., Chemistry of Interfaces, New York: Wiley, 1981.
Summ, B.D. and Goryunov, Yu.V., Fiziko-khimicheskie osnovy smachivaniya i rastekaniya (Physical and Chemical Foundations of Wetting and Spreading), Moscow: Khimiya, 1976.
Zimon, A.D., Adgeziya zhidkosti i smachivanie (Adhesion of Liquid and Wetting), Moscow: Khimiya, 1974.
Adamson, A.W., Physical Chemistry of Surfaces, New York, London, Sydney, Toronto: Wiley, 1975.
Frenkel', Ya.I., Kineticheskaya teoriya zhidkostei (Kinetic Theory of Liquids), Moscow: Akad. Nauk SSSR, 1945.
Becker, R. and Doring, W, Ann. Phys. (N. Y., U. S.), 1935, vol. 24, p. 719.
Volmer, M. and Flood, H, Z. Phys. Chem, Abt. A, 1934, vol. 170, p. 273.
Volmer, M., Kinetik der Phasenbildung, Dresden, Leipzig: Theodor Steinkopff, 1939.
Rusanov, A.I., Fazovye ravnovesiya i poverkhnostnye yavleniya (Phase Equilibria and Surface Phenomena), Leningrad: Khimiya, 1967.
Tovbin, Yu.K., Theory of Physical Chemistry Processes at a Gas–Solid Surface Processes, Boca Raton, FL: CRC Press, 1991.
Tovbin, Yu.K., Molekulyarnaya teoriya adsorbtsii v poristykh telakh (Molecular Theory of Adsorption in Porous Bodies), Moscow: Fizmatlit, 2012.
Hill, T.L., Statistical Mechanics. Principles and Selected Applications, New York: McGraw–Hill, 1956.
Tovbin, Yu.K, Russ. J. Phys. Chem. A, 2015, vol. 89, no. 11, p. 1971.
Tovbin, Yu.K, Zh. Fiz. Khim., 1990, vol. 64, no. 4, p. 865.
Tovbin, Yu.K, Langmuir, 1997, vol. 13, no. 5, p. 1979.
Tovbin, Yu.K. and Rabinovich, A.B, Izv. Akad. Nauk, Ser. Khim., 2009, no. 8, p. 1580.
Votyakov, E.V., Tovbin, Yu.K., MacElroy, J.M.D., and Roche, A, Langmuir, 1999, vol. 15, p. 5713.
Avgul’, N.N., Kiselev, A.V., and Poshkus, D.P., Adsorbtsiya gazov i parov na odnorodnykh poverkhnostyakh (Gas and Vapor Adsorption on Homogenous Surfaces), Moscow: Khimiya, 1975.
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Original Russian Text © Yu.K. Tovbin, E.S. Zaitseva, 2017, published in Fizikokhimiya Poverkhnosti i Zashchita Materialov, 2017, Vol. 53, No. 5, pp. 451–458.
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Tovbin, Y.K., Zaitseva, E.S. The effect of system volume limitation on the surface tension of a vapor–liquid interface. Prot Met Phys Chem Surf 53, 765–772 (2017). https://doi.org/10.1134/S2070205117050240
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DOI: https://doi.org/10.1134/S2070205117050240