Skip to main content
Log in

Cationic conduction and diffusion and the compensation law

  • Papers
  • Published:
Journal of Materials Science Aims and scope Submit manuscript

Abstract

It is shown that measurements of ionic conductivity or diffusion made in the region intermediate between the intrinsic and extrinsic ranges closely obey the compensation law logD 0 =a + bΔH d, whereD 0 is the pre-exponential term in the equation for the diffusion coefficient, ΔH d is the experimentally determined activation enthalpy, anda andb are constants. It is further shown that such measurements can allow determination of defect formation energies. A procedure for analysing results in the intermediate region is proposed and tested for ion conduction by Li+ in LiF. Data for oxides are presented to show semi-quantitative agreement with the procedure.

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. B. Henderson, “Defects in Crystalline Solids”, (Edward Arnold, London, 1972).

    Google Scholar 

  2. F. A. Kröger, “The Chemistry of Imperfect Crystals”, North-Holland, Amsterdam, 1964).

    Google Scholar 

  3. W. Van Gool, “Principles of Defect Chemistry in Crystalline Solids”, (Academic Press, London, 1966).

    Google Scholar 

  4. R. J. Brook, in “Electrical Conductivity of Ceramics and Glass: A”, edited by N. M. Tallan (Dekker, New York, 1974) p. 179.

    Google Scholar 

  5. B. J. Wuensch, in “Mass Transport Phenomena in Ceramics”, edited by A. R. Cooper and A. H. Heuer, (Plenum, New York, 1975).

    Google Scholar 

  6. T. G. Stoebe andP. L. Pratt,Proc. Brit. Ceram. Soc. 9 (1967) 181.

    Google Scholar 

  7. P. Winchell, High Temp. Sci.1 (1969) 200.

    Google Scholar 

  8. V. R. Malinin andK. K. Evstropev,Radiochem. 14 (1972) 169.

    Google Scholar 

  9. W. Meyer andH. Neldel,Z. Tech. Phys. 18 (1937) 588.

    Google Scholar 

  10. G. G. Roberts,J. Phys. C. Solid State Phys. 4 (1971) 3167.

    Google Scholar 

  11. T. Dosdale andR. J. Brook, in preparation.

  12. A. B. Lidiard,Handbuch der Physik 20, (1957) 246.

    Google Scholar 

  13. F. A. Kröger andV. J. Vink,Solid State Phys. 3 (1956) 307.

    Google Scholar 

  14. W. D. Kingery, “Introduction to Ceramics” (Wiley, New York, 1960).

    Google Scholar 

  15. P. Kofstad, “Nonstoichiometry, Electrical Conductivity, and Diffusion in Binary Metal Oxides” (Wiley, New York, 1972).

    Google Scholar 

  16. W. J. Fredericks, “Diffusion in Solids”, edited by A. S. Nowick and J. J. Burton, (Academic Press, London, 1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dosdale, T., Brook, R.J. Cationic conduction and diffusion and the compensation law. J Mater Sci 13, 167–172 (1978). https://doi.org/10.1007/BF00739287

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00739287

Keywords

Navigation