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Mobility and conductivity of ionic and bonded defects in hydrogen-bonded chains with nonlinear interactions

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  • A. S. Tchakoutio Nguetcho
  • P. B. Ndjoko
  • T. C. Kofane

Abstract

The proton conductivity and the mobility arising from motions of the ionic and bonded defects, in hydrogen-bonded molecular systems are investigated by means of the quantum mechanical method. Our two component model goes beyond the usual classical harmonic interaction by inclusion of a quartic interaction potential between the nearest-neighbor protons. Among the rich variety of soliton patterns obtained in this model, we focus our attention to compact kink (kinkon) solutions to calculate analytically, the mobility of the kinkon-antikinkon pair and the specific electrical-conductivity of the protons transfer in the hydrogen-bonded systems under an externally applied electrical-field through the dynamic equation of the kinkon-antikinkon pair. For ice, the mobility and the electrical conductivity of the proton transfer obtained are about 5.307×10 -7 m 2 V -1 s -1 and 6.11×10 -4 Ω -1 m -1 , respectively. The results obtained are in qualitative agreement with experimental data. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Suggested Citation

  • A. S. Tchakoutio Nguetcho & P. B. Ndjoko & T. C. Kofane, 2008. "Mobility and conductivity of ionic and bonded defects in hydrogen-bonded chains with nonlinear interactions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 62(1), pages 7-14, March.
    • Handle: RePEc:spr:eurphb:v:62:y:2008:i:1:p:7-14
    DOI: 10.1140/epjb/e2008-00110-5
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