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

A. S. Tchakoutio Nguetcho (), P. B. Ndjoko and T. C. Kofane

The European Physical Journal B: Condensed Matter and Complex Systems, 2008, vol. 62, issue 1, 7-14

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

Keywords: 62.30.+d Mechanical and elastic waves; Vibrations, 63.20.-e Phonons in crystal lattices, 05.45.Yv Solitons, 63.20.Ry Anharmonic lattice modes, (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1140/epjb/e2008-00110-5

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