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An improved formulation of Jaccard’s theory of the electric properties of ice

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  • Solid State and Materials
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Abstract

In the standard derivation of Jaccard’s theory of the electric properties of ice, no fundamental distinction is made between bound and free charges. This leads to some didactical problems like the ad hoc introduction of the so-called ‘configuration vector’ Ω. However, when the two types of charges are distinguished, it becomes clear that Ω is redundant and proportional to the polarisation density. We also show that Jaccard’s formulation contains a wrong formula for the electric susceptibility and that the correct Φ factor can be derived from a straightforward kinetic approach (which Jaccard failed to do).

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References

  1. C. Jaccard, Ann. N.Y. Acad. Sci. 125, 390 (1965)

    Article  ADS  Google Scholar 

  2. V.F. Petrenko, R.W. Withworth, The physics of ice (Oxford University Press, 1999)

  3. M. Hubmann, Z. Phys. B 32, 127 (1978)

    Article  ADS  Google Scholar 

  4. D.J. Griffiths, Introduction to Electrodynamics (Cambridge University Press, 2017)

  5. A.V. Klyuev, I.A. Ryzhkin, M.I. Ryzhkin, JETP Lett. 100, 604 (2015)

    Article  ADS  Google Scholar 

  6. M. de Koning, Sci. Model. Simul. 15, 123 (2008)

    Article  Google Scholar 

  7. M. de Koning, A. Antonelli, J. Phys. Chem. B 111, 12537 (2007)

    Article  Google Scholar 

  8. V.G. Artemov, A.A. Volkov, Ferroelectrics 466, 158 (2014)

    Article  Google Scholar 

  9. S. Cukierman, Biochim. Biophys. Acta 1757, 876 (2006)

    Article  Google Scholar 

  10. M. Hubmann, Z. Phys. B 32, 141 (1978)

    Article  ADS  Google Scholar 

  11. I.A. Ryzhkin, R.W. Whitworth, J. Phys.: Condens. Matter 9, 395 (1997)

    ADS  Google Scholar 

  12. G.P. Johari, E. Whalley, J. Chem. Phys. 75, 1333 (1981)

    Article  ADS  Google Scholar 

  13. G. Camplin, J. Glaciol. 21, 123 (1978)

    Article  ADS  Google Scholar 

  14. I. Takei, N. Maeno, J. Chem. Phys. 81, 6186 (1984)

    Article  ADS  Google Scholar 

  15. J.H. Koo, J. Magn. Magn. Mater. 375, 106 (2015)

    Article  ADS  Google Scholar 

Download references

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Correspondence to John De Poorter.

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De Poorter, J. An improved formulation of Jaccard’s theory of the electric properties of ice. Eur. Phys. J. B 92, 157 (2019). https://doi.org/10.1140/epjb/e2019-100031-x

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  • DOI: https://doi.org/10.1140/epjb/e2019-100031-x

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