Skip to main content

Dynamics of fast ion conductors

  • Chapter
  • First Online:
Festkörperprobleme 21

Part of the book series: Advances in Solid State Physics ((ASSP,volume 21))

  • 58 Accesses

Abstract

Current theoretical concepts are outlined, which are useful for the interpretation of the dynamic properties of fast ion conductors at low frequencies. The discussion emphasises the hydrodynamic theory and models for many-particle diffusion.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. Geller (ed.), Solid Electrolytes, Springer-Verlag, Berlin, Heidelberg, New York (1977).

    Google Scholar 

  2. P. Hagenmuller, W. van Gool, Solid Electrolytes, General Principles, Characterization, Materials, Applications, Academic Press, New York (1978).

    Google Scholar 

  3. B. U. Beyeler, in: Physics in One Dimension, p. 323, J. Bernasconi, T. Schneider (eds.), Springer-Verlag, Berlin, Heidelberg, New York (1981).

    Google Scholar 

  4. A. Rabenau, in: Festkörperprobleme (Advances in Solid State Physics), Vol. XVIII, p. 77, J. Treusch (ed.), Vieweg, Braunschweig (1978).

    Google Scholar 

  5. J. B. Boyce, B. A. Huberman, Phys. Rep. 51, 189 (1979).

    Article  ADS  Google Scholar 

  6. M. B. Salamon, (ed.), Physics of Superionic Conductors, Springer-Verlag, Berlin, Heidelberg, New York (1979).

    Google Scholar 

  7. W. Dieterich, P. Fulde, I. Peschel, Adv. in Physics 29, 527 (1980).

    Article  ADS  Google Scholar 

  8. K. Funke, in: Festkörperprobleme (Advances in Solid State Physics), Vol. XX, p. 1, J. Treusch (ed.), Vieweg, Braunschweig (1980).

    Google Scholar 

  9. R. J. Cava, F. Reidinger, B. J. Wuensch, Solid St. Commun. 24, 411 (1977).

    Article  ADS  Google Scholar 

  10. P. Vashishta, A. Rahman, Phys. Rev. Lett. 40, 1337 (1978).

    Article  ADS  Google Scholar 

  11. Y. Tsuchiya, S. Tamaki, Y. Waseda, J. Phys. C: Solid St. Phys. 12, 5361 (1979).

    Article  ADS  Google Scholar 

  12. A. Rahman, J. chem. Phys. 65, 4845 (1976).

    Article  ADS  Google Scholar 

  13. S. W. De Leeuw, J. W. Perram, preprint (1979).

    Google Scholar 

  14. S. Fujii, J. Phys. Soc. Japan, 46, 1833 (1979).

    Article  ADS  Google Scholar 

  15. T. Holstein, Ann. Phys. (N. Y.) 8, 343 (1959); C. P. Flynn, A. M. Stoneham, Phys. Rev. B 10, 3966 (1970).

    Article  ADS  Google Scholar 

  16. For a review see e. g. K. Sköld in: Hydrogen in Metals I, p. 267, G. Alefeld, J. Völkl (eds.), Springer-Verlag, Berlin, Heidelberg, New York (1978).

    Google Scholar 

  17. H. Graf, G. Balzer, A. Weidinger, Phys. Rev. Lett., 20, 1333 (1980).

    Article  ADS  Google Scholar 

  18. M. Dixon, M. J. Gillan, Journal de Physique, 41, C 6–24 (1980).

    Google Scholar 

  19. T. Geisel, in: Physics of Superionic Conductors, p. 201, M. B. Salamon (ed.), Springer-Verlag, Berlin, Heidelberg, New York (1979).

    Google Scholar 

  20. W. Dieterich, T. Geisel, I. Peschel, Z. Phys. B. 29, 5 (1978).

    Article  ADS  Google Scholar 

  21. H. Risken, H. D. Vollmer, Z. Phys. B 31, 209 (1978).

    Article  ADS  Google Scholar 

  22. S. M. Shapiro, in: Physics of Superionic Conductors, p. 45, M. B. Salamon (ed.) Springer-Verlag, Berlin, Heidelberg, New York (1979).

    Google Scholar 

  23. P. C. Martin, O. Parodi, P. S. Pershan, Phys. Rev. A 6, 167 (1972).

    Google Scholar 

  24. J. Jäckle Z. Phys. B 30, 255 (1978).

    Article  ADS  Google Scholar 

  25. R. Zeyher, Z. Phys. B 31, 127 (1978).

    Article  ADS  Google Scholar 

  26. R. Zeyher, in: Fast Ion Transport in Solids, Electrodes and Electrolytes, p. 509, P. Vashishta, J. N. Mundy, G. K. Sehnoy (ed.). North-Holland, New York, Amsterdam, Oxford (1979).

    Google Scholar 

  27. Including a dielectric constant ∈≃ 5 for the lattice, one finds Γ = (Ze)2/∈r0kBT ≃ 20 for α—AgI at T ≈ 500 K.

    Google Scholar 

  28. G. Eckold, K. Funke, J. Kalus, R. E. Lechner J. Phys. Chem. Solids, 37, 1097 (1976).

    Article  ADS  Google Scholar 

  29. G. Winterling, W. Senn, M. Grimsditch, R. Katiyar Proc. Int. Conf. on Lattice Dynamics, p. 553, M. Balkanski, (ed.), Flammarion, Paris (1977).

    Google Scholar 

  30. See e.g. M. Nielsen, J. P. McTague W. Ellenson Journal de Physique, 38, C4–10 (1977).

    Google Scholar 

  31. J. D. Axe, in: Solitons and Condensed Matter Physics, p. 234, A. R. Bishop, T. Schneider (eds.), Springer-Verlag, Berlin, Heidelberg, New York (1978).

    Google Scholar 

  32. R. A. Guyer, M. D. Miller, Phys. Rev. Lett. 42, 718 (1979).

    Article  ADS  Google Scholar 

  33. R. A. Guyer M. D. Miller, Phys. Rev. A 17, 1774 (1978).

    Article  ADS  Google Scholar 

  34. A. Bunde, W. Dieterich Solid State Commun. in print.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

J. Treusch

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH

About this chapter

Cite this chapter

Dieterich, W. (1981). Dynamics of fast ion conductors. In: Treusch, J. (eds) Festkörperprobleme 21. Advances in Solid State Physics, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0108610

Download citation

  • DOI: https://doi.org/10.1007/BFb0108610

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-528-08027-3

  • Online ISBN: 978-3-540-75368-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics