Skip to main content

Phonon Scattering by a Grain Boundary in Silicon

  • Conference paper
  • 414 Accesses

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 68))

Abstract

As discussed in a recent review [1] thermal conductivity [2] and heat pulse [3] experiments have shown the interaction of phonons with grain boundaries to be weak and probably due to anharmonic coupling with the distortion field of the (static) boundary. Theoretical discussions of this mechanism have been based on formulations [4,5] developed before data on third-order elastic constants (TOECs) were available. The aim of the present paper is to analyze the heat pulse experiments of [3] using a theoretical framework[6–8] which, although lacking the attractive simplicity of Klemens approach[4,5], offers an exact description of the anharmonic interaction in terms of TOECs.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. A.C. Anderson: in Dislocations in Solids, ed.F.R.N.Nabarro (North Holland, New York 1983) Vol.6, p.235

    Google Scholar 

  2. E.P. Roth and A.C. Anderson: Phys.Rev. B17, 3356 (1978)

    ADS  Google Scholar 

  3. E.P. Roth and A.C. Anderson: Phys.Stat.Sol. B93, 261 (1979)

    ADS  Google Scholar 

  4. P.G. Klemens: Proc.Phys.Soc. A 68, 1113 (1955)

    Article  MATH  ADS  Google Scholar 

  5. P.G. Klemens: Solid State Physics 7, 1 (1958)

    Article  Google Scholar 

  6. Y. Kogure and Y. Hiki: J.Phys.Soc. Japan 36, 1597 (1974)

    Article  ADS  Google Scholar 

  7. D. Eckhardt and W. Wasserbäch: Phil.Mag. A37, 621 (1978)

    ADS  Google Scholar 

  8. R.A. Brown: Solid State Commun. 51, 89 (1984)

    Article  ADS  Google Scholar 

  9. R.A. Brown: J.Phys.C.: Solid State Phys. 16, 1009 (1983)

    Article  ADS  Google Scholar 

  10. K. Hubner and W. Shockley: Proc.Int.Conf.Semicond., ed. A.C. Stickland (Inst.Phys. and Phys.Soc., London 1962) p.157

    Google Scholar 

  11. S. Amelinckx and W. Dekeyser: Solid State Physics 8., 325 (1959)

    Article  Google Scholar 

  12. B.A. Auld: Acoustic Fields and Waves in Solids (Wiley, New York 1973) Vol.I, Fig. 7.2

    Google Scholar 

  13. H.J. McSkimmin and P. Andreatch; J.Appl.Phys. 35, 3312 (1964)

    Article  ADS  Google Scholar 

  14. O.L. Anderson: in Physical Acoustics, ed. W.P. Mason (Academic Press, New York 1965) Vol.III B, p.43 (Appendix II).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Brown, R.A. (1986). Phonon Scattering by a Grain Boundary in Silicon. In: Anderson, A.C., Wolfe, J.P. (eds) Phonon Scattering in Condensed Matter V. Springer Series in Solid-State Sciences, vol 68. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82912-3_77

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-82912-3_77

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82914-7

  • Online ISBN: 978-3-642-82912-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics