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The Haven Ratio in Terms of the Self-Diffusion of Charge

  • Alfred R. Cooper
Part of the NATO ASI Series book series (NSSB, volume 129)

Abstract

The discrepancy between the measured electrical conductivity of ionic materials and that calculated from the Nernst-Einstein (N-E) equation has been known for a long time. In glasses the discrepancy was perhaps first documented by Fitzgerald1 and has been confirmed by many subsequent works.2 Le Claire suggested that the ratio of the ionic conductivity calculated from N-E and that actually determined be called the Haven Ratio, HR. This terminology is widely accepted in the discussion of glassy as well as crystalline materials. The appropriateness of the choice relates to Haven’s pioneering work in the understanding of the serial correlation of atomic jumps.3 For crystalline materials with well-specified diffusion mechanisms, it is now routine to calculate the Haven Ratio based on the difference between the serial correlation of the jumps of lattice atoms and that of ionic defects.4 Here the goal is to review the procedure and generalize it to apply to noncrystalline solids.

Keywords

Serial Correlation Measured Electrical Conductivity Average Waiting Time Jump Distance Mobile Cation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    J. V. Fitzgerald,J. Chem. Phys. 20:922 (1952).ADSCrossRefGoogle Scholar
  2. 2.
    A. D. LeClaire, Chapter 5,in: “Physical Chemistry,” Vol. 10, H. Eyring, D. Henderson, and W. Jost, eds., Academic Press, New York (1970).Google Scholar
  3. 3.
    Y. Haven, Rept. Conf. Defects Crystalline Solids, London, p. 261 (1954).Google Scholar
  4. 4.
    a) J. R. Manning, “Diffusion Kinetics for Atoms in Crystals,” Van Nostrand, Princeton (1968).Google Scholar
  5. A. D. LeClaire, Chapter 5,in: “Physical Chemistry,” Vol. 10, H. Eyring, D. Henderson, and W. Jost, eds., Academic Press, New York (1970).Google Scholar
  6. 5.
    P. J. Koros and T. B. King,Trans. AIME 224: 229 (1962).Google Scholar

Copyright information

© Plenum Press, New York 1985

Authors and Affiliations

  • Alfred R. Cooper
    • 1
  1. 1.Case Western Reserve UniversityClevelandUSA

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