Skip to main content
Log in

Computer calculation of the vibrational spectrum of nanoparticles

  • Low-Dimensional Systems and Surface Physics
  • Published:
Physics of the Solid State Aims and scope Submit manuscript

Abstract

A new method for calculating the vibrational spectrum of nanoparticles is proposed. The method is based on a molecular-dynamics simulation of the oscillations of the center of mass and of individual atoms and subsequent Fourier analysis of the obtained time series. It is shown by way of a concrete example that, depending on the dimensions of the nanocrystallite, the calculated spectrum of intrinsic vibrations can consist of one or more dominant harmonics. Correspondence of this method to the open resonator model and to calculations of longitudinal intrinsic vibrations of a rod in the theory of elasticity is demonstrated.

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.

Similar content being viewed by others

References

  1. M. Born and H. Kun, Dynamical Theory of Crystal Lattices (Clarendon Press, Oxford, 1954, reissued by Oxford University Press, New York, 1985).

    Google Scholar 

  2. J. M. Ziman, Principles of the Theory of Solids, 2nd ed. (Cambridge University Press, London, 1972).

    Google Scholar 

  3. A. S. Dolgov, Fiz. Tverd. Tela (Leningrad) 15, 421 (1973) [Sov. Phys. Solid State 15, 302 (1973)].

    Google Scholar 

  4. V. V. Pokropivnyi and V. V. Skorokhod, Pis’ma Zh. Tekh. Fiz. 16(9), 70 (1996) [sic].

    Google Scholar 

  5. A. G. Gamburtsev, S. I. Aleksandrov, A. S. Belyakov et al. (editors), Atlas of Temporal Variations of Natural Processes [in Russian], Moscow (1994), Vol. 1.

  6. L. D. Landau and E. M. Lifshitz, Theory of Elasticity, 3rd English ed. (Pergamon Press, Oxford, 1986).

    Google Scholar 

  7. A. Briggs and O. Kolosov, MRS Bull. 21, 10, 30 (1996).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Fiz. Tverd. Tela (St. Petersburg) 39, 2062–2064 (November 1997)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pokropivnyi, A.V., Krasnikov, Y.G. & Pokropivnyi, V.V. Computer calculation of the vibrational spectrum of nanoparticles. Phys. Solid State 39, 1843–1845 (1997). https://doi.org/10.1134/1.1130186

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1130186

Keywords

Navigation