Skip to main content
Log in

The theory of neutron scattering from mixed harmonic solids

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

The dynamic structure factor for incoherent neutron scattering from light mass particles substituted in a solid is calculated for two model systems. One model is appropriate for a dilute concentration of light particles in a matrix, and the second is a binary system with various masses and force constants. The exact calculations are used to assess the value of approximation schemes for the dynamic structure factor which exploit the separation of time scales in the motions of the light and the heavier lattice particles.

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. Howard, J., Waddington, T.C.: Advances in infrared and raman spectroscopy. Clark, R.J.H., Hester, R.E. (eds.), Vol. 7, Chap. 3. Heyden and Sons 1980

  2. Springer, T.: Hydrogen in Metals I. In: Topics in Applied Physics. Alefeld, G., Völkl, J. (eds.), Vol. 28, Chap. 4. Berlin, Heidelberg, New York: Springer-Verlag 1978

    Google Scholar 

  3. Boland, B.C.: In: Proceedings of the Sixth Meeting of the International Collaboration on Advanced Neutron Sources. Argonne, ILL (1982) Argonne Rept-82-80; Carlile, C.J.: Private communication

  4. Squires, G.L.: Thermal neutron scattering. Cambridge: University Press 1978

    Google Scholar 

  5. Lovesey, S.W.: Condensed matter physics, dynamic correlations. Massachusetts: Benjamin 1980

    Google Scholar 

  6. Rahman, A., Singwi, K.S., Sjölander, A.: Phys. Rev.126, 986 (1962)

    Google Scholar 

  7. Bloch, F.: Z. Phys.74, 295 (1932)

    Google Scholar 

  8. Maradudin, A.A., Flinn, P.A., Ruby, S.L.: Phys. Rev.126, 9 (1962)

    Google Scholar 

  9. Griffin, A., Jobic, H.: J. Chem. Phys.75, 5940 (1981)

    Google Scholar 

  10. Egelstaff, P.A., Schofield, P.: Nucl. Sci. Eng.12, 260 (1962)

    Google Scholar 

  11. Jobic, H., Ghosh, R.E., Rencuprez, A.: J. Chem. Phys.75, 4025 (1981)

    Google Scholar 

  12. Vibrational spectroscopy on a pulsed neutron source employs relatively high momentum transfers, for example: Boland, B.C., Mildner, D.F.R., Stirling G.C. Bunce, L.J., Sinclair, R.N., Windsor, C.G.: Nucl. Instrum. Methods154, 349 (1978)

    Google Scholar 

  13. The limitation to working at relatively high momentum transfer 126-1 when performing neutron spectroscopy is analysed, for example: Brugger, R.M., Strong, K.A., Grant, D.M.: Neutron Inelastic scattering. Vol. II, p.323. Vienna: International Atomic Energy Agency 1968

    Google Scholar 

  14. Placzek, G.: Phys. Rev.86, 377 (1952);93, 895 (1954);105, 1240 (1957)

    Google Scholar 

  15. Dolling, G., Powell, B.M.: Proc. R. Soc. London Ser. A319, 209 (1970)

    Google Scholar 

  16. Bilz, H., Kress, W.: Phonon dispersion relations in insulators. Berlin, Heidelberg, New York: Springer-Verlag 1979

    Google Scholar 

  17. Marshall, W., Lovesey, S.W.: Theory of thermal neutron scattering. Oxford: Clarendon Press 1971

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

At Rutherford Appleton Laboratory for the duration of this work

Rights and permissions

Reprints and permissions

About this article

Cite this article

Warner, M., Lovesey, S.W. & Smith, J. The theory of neutron scattering from mixed harmonic solids. Z. Physik B - Condensed Matter 51, 109–126 (1983). https://doi.org/10.1007/BF01308765

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01308765

Keywords

Navigation