Skip to main content
Log in

Dimensional dependences of the interfacial tension at a solid—liquid interface and the melting temperature of metal nanoparticles

  • Proceedings of the International Interdisciplinary Simposium “Ordering in Minerals and Alloys” OMA-14
  • Published:
Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

New coordinating relationships are obtained for the dimensional dependences of melting temperature T(r) and interfacial tension σ SL (r) of a solid spherical nanoparticle at the boundary with its own melt. The Thomson formula for T(r) and the Tolman formula for σ SL (r) follow from the expressions obtained at large radii of curvature. Numerical calculations are performed for metals. Results from calculations on the dimensional dependences of the melting temperature for Pt, Au, and Al that conform fairly well with experimental data are given as examples.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Nanonauka i nanotekhnologii. Entsiklopediya sistem zhizneobespecheniya (Nanosciences and Nanotechnologies. Life Support Systems: Encyclopedia), Moscow: UNESCO, EOLSS, izd. dom magistr-press, 2010.

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

    Google Scholar 

  3. Shebzukhov, Z.A., Shebzukhova, M.A., and Shebzukhov, A.A., Poverkhn. Rentgen., Sinkhrotronn. Neitronn. Issl., 2009, no. 11, p. 102.

  4. Ono, S. and Kondo, S., Molecular Theory of Surface Tension in Liquids, Berlin: Springer, 1960; Moscow: Inostrannaya literatura, 1963.

    Google Scholar 

  5. Sawamure, H., Trans. Jpn. Inst. Metals, 1972, vol. 13, no. 4, pp. 225–230.

    Google Scholar 

  6. Kirkinskii, V.A., Dokl. Akad. Nauk SSSR, 1970, vol. 192, no. 2.

  7. Morokhov, I.D, Chizhik, S.P., Gladkikh, N.T., et al., Dokl. Akad. Nauk SSSR, 1979, vol. 248, no. 3, pp. 603–605.

    Google Scholar 

  8. Gladkikh, N.T., Dukarov, S.V., Kryshtal’, A.P., et al., Poverkhnostnye yavleniya i fazovye prevrashcheniya v kondensirovannykh plenkakh (Surface Phenomena and Phase Transitions in Condensed Films), Gladkikh, N.T., Ed., Kharkov: KhIU im. V.N. Karazina, 2004.

    Google Scholar 

  9. Skripov, V.P. and Faizulin, M.Z., Fazovye perekhody kristall-zhidkost’-par i termodinamicheskoe podobie (Phase Transition Crystal-Liquid-Vapor and Thermodynamic Similarity), Moscow: Fizmatlit, 2003.

    Google Scholar 

  10. Shebzukhova, M.A., Shebzukhov, Z.A., and Shebzukhov, A.A., Bull. Russ. Acad. Sci. Phys., 2010, vol. 74, no. 5, p. 697.

    Article  MATH  Google Scholar 

  11. Sheng, H.W., Lu, K., and Ma, E., Acta Mater., 1998, vol. 46, no. 14, pp. 5195–5205.

    Article  Google Scholar 

  12. Behrndt, K.H., Thin Solid Films, 1969, vol. 3, no. 5, pp. 30–32.

    Article  ADS  Google Scholar 

  13. Jdanov, G.S., Bull. Russ. Acad. Sci. Phys., 1972, vol. 41, no. 5, p. 1004.

    Google Scholar 

  14. Chopra Kasturi, L., Thin Film Phenomena, New York: McGraw-Hill, 1969.

    Google Scholar 

  15. Koverda, V.P., Skokov, V.N., and Skripov, V.P., Fiz. Met. Metalloved., 1981, vol. 51, no. 6, pp. 1238–1244.

    Google Scholar 

  16. Shebzukhov, Z.A., Shebzukhova, M.A., and Shebzukhov, A.A., Poverkhn. Rentgen., Sinkhrotron. Neitron. Issl., 2009, no. 12, p. 94.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. A. Shebzukhova.

Additional information

Original Russian Text © M.A. Shebzukhova, A.A. Shebzukhov, 2012, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2012, Vol. 76, No. 7, pp. 863–867.

About this article

Cite this article

Shebzukhova, M.A., Shebzukhov, A.A. Dimensional dependences of the interfacial tension at a solid—liquid interface and the melting temperature of metal nanoparticles. Bull. Russ. Acad. Sci. Phys. 76, 773–777 (2012). https://doi.org/10.3103/S1062873812070313

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1062873812070313

Keywords

Navigation