Skip to main content
SpringerLink
Log in

Dynamics of a crystal containing a molecular impurity—I. Rigid molecule approximation

  • Solids
  • Published:
Pramana Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

The dynamics of a crystal containing a rigid, isolated substitutional molecular impurity is discussed using the Green’s function method. The dynamical matrix for the problem is set up, and the various constraints on the force constants are pointed out. The application of the matrix partitioning technique is then indicated, and the possibility of a resonance mode arising from molecular librations is pointed out. Comparison is made with the earlier work of Wagner, and finally the relevance of the present formalism to the interpretation of a recent neutron scattering experiment is discussed.

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

  • Dzyub I P and Kochmarsky B Z 1972Acta Universitatis Wratislaviensis Report No. 181 IX Winter School of Theoretical Physics in Karpacz

  • Elliott R J and Maradudin A A 1965Inelastic Scattering of Neutrons (Vienna, International Atomic Energy Agency) p. 231

    Google Scholar 

  • Maradudin A A 1969Elementary Excitations in Solids eds A A Maradudin and G F Nardelli (New York, Plenum Press)

    Google Scholar 

  • Maradudin A A, Montroll E W, Weiss G H and Ipatova I P 1971Theory of Lattice Dynamics in the Harmonic Approximation, Second Edition, (New York, Academic Press)

    Google Scholar 

  • Pandey G K 1968J. Chem. Phys. 49 1555

    Article  ADS  Google Scholar 

  • Pandey G K and Agarwal V K 1969J. Chem. Phys. 50 1935

    Article  ADS  Google Scholar 

  • Smith G H, Wakabayashi N and Nicklow R M 1972Neutron Inelastic Scattering (Vienna, International Atomic Energy Agency) p. 103

    Google Scholar 

  • Venkataraman G and Sahni V C 1970Rev. Mod. Phys. 42 409

    Article  ADS  Google Scholar 

  • Venkataraman G, Feldkamp L A and Sahni V C 1975Dynamics of Perfect Crystals (Cambridge, Massachusetts MIT Press)

    Google Scholar 

  • Wagner M 1963Phys. Rev. 131 2520

    Article  MATH  ADS  Google Scholar 

  • Wagner M 1964Phys. Rev. 133 A 750

    Article  ADS  Google Scholar 

  • Walton D, Mook H A and Nicklow R M 1974Phys. Rev. Lett. 33 412

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Reactor Research Centre, 603102, Kalpakkam, Tamil Nadu

    D Sahoo & G Venkataraman

Authors
  1. D Sahoo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G Venkataraman
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sahoo, D., Venkataraman, G. Dynamics of a crystal containing a molecular impurity—I. Rigid molecule approximation. Pramana - J Phys 5, 175–184 (1975). https://doi.org/10.1007/BF02846587

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02846587

Keywords

Search

Navigation