Skip to main content
SpringerLink
Log in

Melting temperature of nanoparticles and the energy of vacancy formation in them

  • Surface, Electron and Ion Emission
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

The results of studying the size dependence of the vacancy concentration in nanoparticles are presented. An analysis demonstrates that an increase in the vacancy concentration with decreasing nanoparticle size is the most grounded conclusion with allowance for the relationship between the melting temperature, the binding energy, and the energy of vacancy formation.

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

Access this article

Log in via an institution

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. Ya. I. Frenkel, Kinetic Theory of Liquids (Akad. Nauk SSSR, Moscow-Leningrad, 1945; Clarendon, Oxford, 1946).

    Google Scholar 

  2. J. Fridel, Dislocations (Pergamon, Oxford, 1964; Mir, Moscow, 1967).

    Google Scholar 

  3. P. Pawlov, Z. Phys. Chem. 65, 1; 545 (1909); 68, 316 (1910).

    Google Scholar 

  4. I. D. Morokhov, S. P. Chizhik, N. T. Gladkikh, et al., Dokl. Akad. Nauk SSSR 248, 603 (1979) [Sov. Phys. Dokl. 24, 674 (1979)].

    Google Scholar 

  5. I. D. Morokhov, S. P. Chizhik, N. T. Gladkikh, et al., Dokl. Akad. Nauk SSSR 248, 1376 (1979) [Sov. Phys. Dokl. 24, 769 (1979)].

    Google Scholar 

  6. I. D. Morokhov, S. P. Chizhik, N. T. Gladkikh, et al., Izv. Akad. Nauk SSSR, Met., No. 5, 210 (1979).

  7. S. P. Chizhik, N. T. Gladkikh, et al., Izv. Akad. Nauk SSSR, Met., No. 6, 180 (1983).

  8. Pj. Buffat and J. P. Borel, Phys. Rev. A 13, 2287 (1976).

    Article  ADS  Google Scholar 

  9. I. D. Morokhov, V. I. Zubov, and V. B. Fedorov, Fiz. Tverd. Tela (Leningrad) 25, 312 (1983) [Sov. Phys. Solid State 25, 178 (1983)].

    Google Scholar 

  10. I. D. Morokhov, S. P. Chizhik, N. T. Gladkikh, et al., Izv. Akad. Nauk SSSR, Met., No. 6, 159 (1979).

  11. V. I. Gorchakov, E. L. Nagaev, and S. P. Chizhik, Fiz. Tverd. Tela (Leningrad) 30, 1068 (1988) [Sov. Phys. Solid State 30, 620 (1988)].

    Google Scholar 

  12. E. L. Nagaev, Phys. Status Sol. B 167(2), 381 (1991).

    Article  MathSciNet  ADS  Google Scholar 

  13. Yu. I. Nagaev, Usp. Fiz. Nauk 162(9), 49 (1992) [Sov. Phys. Usp. 35, 747 (1992)].

    Article  Google Scholar 

  14. Yu. I. Petrov, Zh. Fiz. Khim. 63, 2757 (1989).

    Google Scholar 

  15. Yu. I. Petrov, Izv. Ross. Akad. Nauk, Ser. Fiz. 62, 1142 (1998).

    Google Scholar 

  16. N. T. Gladkikh and A. P. Kryshtal, Fiz. Met. Metalloved. 85, 1576 (1998).

    Google Scholar 

  17. N. T. Gladkikh and A. P. Kryshtal, Vopr. At. Nauki Tekh. 3(4), 45 (1998).

    Google Scholar 

  18. N. T. Gladkikh and A. P. Kryshtal, Funct. Mater. 6, 823 (1999).

    Google Scholar 

  19. N. T. Gladkikh and O. P. Kryshtal, in Proceedings of the Topical Conference on Microstructures and Surface Morphology Evolution in Thin Films, Triest, 1999, p. 26.

  20. N. T. Gladkikh and O. P. Kryshtal, in Proceedings of the 18th European Conference of Surface Science (ECOSS-18), Vienna, 2003.

  21. S. I. Bogatyrenko, N. T. Gladkikh, A. P. Kryshtal, and A. A. Filippov, Izv. Ross. Akad. Nauk, Ser. Fiz. 66, 120 (2002).

    Google Scholar 

  22. W. H. Qi and M. P. Wang, J. Mater. Sci. 39, 2529 (2004).

    Article  ADS  Google Scholar 

  23. D. Xie, M. P. Wang, and L. F. Cao, J. Mater. Sci. 40, 3565 (2005).

    Article  ADS  Google Scholar 

  24. W. H. Qi, M. P. Wang, M. Zhou, and M. Y. Hu, J. Phys. D 38, 1429 (2005).

    Article  ADS  Google Scholar 

  25. M. Müller and K. Albe, Acta Mater. 55, 3237 (2007).

    Article  Google Scholar 

  26. F. Ruffino, V. G. Grimaldi, F. Giannazo, F. Roccaforte, and V. Raineri, Nanoscale Res. Lett. 3, 454 (2008).

    Article  ADS  Google Scholar 

  27. S. I. Bogatyrenko, N. T. Gladkikh, A. P. Kryshtal, A. L. Samsonik, and V. N. Sukhov, Fiz. Met. Metalloved. 109, 585 (2010).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Karazin National University, pl. Svobody 4, Kharkov, 61077, Ukraine

    N. T. Gladkikh, A. P. Kryshtal & S. I. Bogatyrenko

Authors
  1. N. T. Gladkikh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. P. Kryshtal
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. I. Bogatyrenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. P. Kryshtal.

Additional information

Original Russian Text © N.T. Gladkikh, A.P. Kryshtal, S.I. Bogatyrenko, 2010, published in Zhurnal Tekhnicheskoĭ Fiziki, 2010, Vol. 80, No. 11, pp. 111–114.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gladkikh, N.T., Kryshtal, A.P. & Bogatyrenko, S.I. Melting temperature of nanoparticles and the energy of vacancy formation in them. Tech. Phys. 55, 1657–1660 (2010). https://doi.org/10.1134/S1063784210110174

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063784210110174

Keywords

Search

Navigation