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Interface tension at the boundary of two condensed phases in a binary system with allowance for nanodimensional effects

  • Proceedings of the Interdisciplinary Symposium “Ordering in Minerals and Alloys” OMA-18 and Proceedings of the International Interdisciplinary Symposium “Order, Disorder, and Properties of Oxides” ODPO-18
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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

A new size-dependent equation for an interface tension isotherm of spherical nanoparticles in the macroscopic matrix of a binary system is derived. Macroscopically, it transforms into a relationship that associates the concentrations of bulk phases. By making certain assumptions, the Ostwald–Freundlich formula for the solubility of small particles is obtained. Calculations of the interface tension for nanoprecipitates in a Fe–Cr system at 773 K show a reduction in interface tension as their dimensions shrink.

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References

  1. Rusanov, A.I. and Prokhorov, V.A., Mezhfaznaya tenziometriya (Interphase Tensiometry), St. Petersburg: Khimiya, 1994.

    Google Scholar 

  2. Lord Rayleigh (Strutt, J.W.)., Philos. Mag. Ser. 5, 1890, vol. 30, p. 456.

    Article  Google Scholar 

  3. Becker, R., Ann. Phys., 1938, vol. 32, p. 128.

    Article  Google Scholar 

  4. Girifalko, L.A. and Good, R.J., J. Phys. Chem., 1957, vol. 62, p. 904.

    Article  Google Scholar 

  5. Good, R.J. and Girifalko, L.A., J. Phys. Chem., 1960, vol. 64, p. 561.

    Article  Google Scholar 

  6. Zadumkin, S.N. and Karashaev, A.A., in Poverkhnostnye yavleniya v rasplavakh i voznikayushchikh iz nikh tverdykh fazakh (Surface Phenomena in Melts and Solid Phases Originating from Them), Nalchik, 1965, p. 85.

    Google Scholar 

  7. Popel’, S.I., Poverkhnostnye yavleniya v rasplavakh (Surface Phenomena in Melts), Moscow: Metallurgiya, 1994.

    Google Scholar 

  8. Semenchenko, V.K., Zh. Fiz. Khim., 1976, vol. 50, no. 7, p. 1846.

    Google Scholar 

  9. Zadumkin, S.N., Khokonov, Kh.B., and Shebzukhov, A.A., Izv. Sev.-Kavk. Nauchn. Tsentra Vyssh. Shk. Estestv. Nauki, 1976, no. 3, p. 110.

    Google Scholar 

  10. Shain, S.A. and Prausmitz, J.M., AIChE J., 1964, vol. 10, no. 5, p. 766.

    Article  Google Scholar 

  11. Shebzukhov, A.A. and Karachaev, A.M., Poverkhnost’, 1985, no. 5, p. 58.

    Google Scholar 

  12. Rusanov, A.I., Kolloidn. Zh., 1987, vol. 49, no. 5, p. 932.

    Google Scholar 

  13. Zhu Ru-Zeng and Wang Xiao-Son., Chin. Phys., 2010, vol. 19, no. 7, p. 076801.

    Article  Google Scholar 

  14. Rusanov, A.I., Fazovye ravnovesiya i poverkhnostnye yavleniya (Phase Equilibriums and Surface Phenomena), Leningrad: Khimiya, 1967.

    Google Scholar 

  15. Frenkel, A.J. and Yevick, A., Annu. Rev. Chem., 2011, vol. 4, p. 23.

    Article  Google Scholar 

  16. Rusanov, A.I., Lektsii po termodinamike (Lectures on Thermodynamics), St. Petersburg: Lan’, 2013.

    Google Scholar 

  17. Novy, S., Pareige, P., and Pareige, C., J. Nucl. Mater., 2009, vol. 384, no. 96, p. 23.

    Google Scholar 

  18. L’vov, P.E., Svetukhin, V.V., and Obukhov, A.V., Phys. Solid State, 2011, vol. 53, no. 2, p. 421.

    Article  ADS  Google Scholar 

  19. Kaufman L. and Bernstein, H., Computer Calculation of Phase Diagrams, New York: Acad. Press, 1970.

    Google Scholar 

  20. Fizicheskii entsiklopedicheskii slovar’ (Physical Encyclopedia., Moscow: Sovetskaya Entsiklopediya, 1996, vol. 5.

  21. Fizicheskii entsiklopedicheskii slovar’ (Physical Encyclopedia., Moscow: Sovetskaya Entsiklopediya, 1963, vol. 3.

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Correspondence to M. A. Shebzukhova.

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Original Russian Text © M.A. Shebzukhova, A.A. Shebzukhov, 2016, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2016, Vol. 80, No. 6, pp. 788–791.

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Shebzukhova, M.A., Shebzukhov, A.A. Interface tension at the boundary of two condensed phases in a binary system with allowance for nanodimensional effects. Bull. Russ. Acad. Sci. Phys. 80, 718–721 (2016). https://doi.org/10.3103/S1062873816060319

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  • DOI: https://doi.org/10.3103/S1062873816060319

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