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Polarization processes in the ice lattice

I. Approach by Thermodynamics of Irreversible Processes. New Experimental Verification by Means of a Universal Relation

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Zeitschrift für Physik B Condensed Matter

Abstract

The theory of electrical properties of ice by Jaccard is reviewed. Using a matrix notation it is shown that the theory can be extended to a larger class of defects and some discrepancies with an earlier formulation are explained. A universal relation between the electrical parameters is derived and allows a quantitative verification of the theory. Experimental data from ice doped with HF and NH3, spreading over several decades in conductivity, can be collapsed on this relation.

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References

  1. Bernal, J.D., Fowler, H.R.: J. Chem. Phys.1, 515 (1933)

    Google Scholar 

  2. Pauling, L.: J. Am. Chem. Soc.57, 2680 (1935)

    Google Scholar 

  3. Bjerrum, N.: K. Dan. Vidensk. Selsk. Mat.-Fys. Medd.27, 1 (1951)

    Google Scholar 

  4. Gränicher, H.: Z. Kristallogr.110, 432 (1958)

    Google Scholar 

  5. Jaccard, C.: Helv. Phys. Acta32, 89 (1959)

    Google Scholar 

  6. Jaccard, C.: Phys. kondens. Materie3, 99 (1964)

    Google Scholar 

  7. Steinemann, A.: Helv. Phys. Acta30, 581 (1957)

    Google Scholar 

  8. Slater, J.C.: J. Chem. Phys.9, 16 (1941)

    Google Scholar 

  9. Takagi, Y.: J. Phys. Soc. Jap.3, 273 (1948)

    Google Scholar 

  10. Giauque, W.F., Stout, J.W.: J. Am. Chem. Soc.58, 1144 (1936)

    Google Scholar 

  11. Peterson, S.W., Levy, H.A.: Acta Cryst.10, 70 (1957)

    Google Scholar 

  12. de Groot, S.R.: Thermodynamik irreversibler Prozesse, Mannheim: Bibl. Institut 1960

    Google Scholar 

  13. Nagle, J.F.: J. Chem. Phys.61, 883 (1974)

    Google Scholar 

  14. Kröger, F.A.: The Chemistry of Imperfect Crystals, Vol. 2, pp. 783–799. Amsterdam: North-Holland Publishing Company 1974

    Google Scholar 

  15. Kopp, M.: Diss. ETH Nr. 4014, Zürich 1972

  16. Bilgram, J.H., Gränicher, H.: Phys. cond. Matter18, 275 (1974)

    Google Scholar 

  17. Onsager, L.: Physics and Chemistry of Ice, (E. Whalley ed.), p. 7. Ottawa: Roy. Soc. Canada 1973

    Google Scholar 

  18. Camplin, G.C., Glen, J.W.: Physics and Chemistry of Ice, (E. Whalley ed.) p. 256. Ottawa: Roy. Soc. Canada 1973

    Google Scholar 

  19. von Hippel, A., Mykolajewycz, R., Runck, A.H., Westphal, W.B.: J. Chem. Phys.57, 2560 (1972)

    Google Scholar 

  20. Hubmann, M.: Helv. Phys. Acta48, 449 (1975)

    Google Scholar 

  21. Hubmann, M.: J. Glaciology21, (to appear 1978)

  22. Eigen, M., De Maeyer, L.: Proc. Roy. Soc. A247, 505 (1958)

    Google Scholar 

  23. Haltenorth, H., Klinger, J.: Physics of Ice, (N. Riehl ed.) p. 579. New York: Plenum Press 1969

    Google Scholar 

  24. Hubmann, M.: Helv. Phys. Acta48, 449 (1975)

    Google Scholar 

  25. Onsager, L., Fuoss, R.M.: J. Phys. Chem.26, 2689 (1932)

    Google Scholar 

  26. Hubmann, M.: Z. Physik B32, 141 (1979)

    Google Scholar 

  27. Hubmann, M.: Diss. ETH Nr. 5648, Zürich 1976

  28. Johari, G.P., Jones, S.J.: J. Glaciology21, (to appear 1978)

  29. Breckenridge, R.G.: Imperfections in nearly perfect crystals, (W. Shockley ed.), p. 219. New York: John Wiley 1952

    Google Scholar 

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Hubmann, M. Polarization processes in the ice lattice. Z Physik B 32, 127–139 (1979). https://doi.org/10.1007/BF01320109

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  • DOI: https://doi.org/10.1007/BF01320109

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