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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access May 22, 2013

Electrode polarization and interface effects in liquid crystal systems with mobile ions: development of a model of bipolar diffusion

  • Constantin Ganea EMAIL logo
From the journal Open Physics

Abstract

The influence of mobile ions on the results of impedance spectroscopy (dielectric spectroscopy) measurements performed on a liquid crystal cell using the new mathematical model recently described was investigated. This mathematical model reformulates the fundamental equation system of continuity for mobile charge carriers and the Poisson equation using new variables. One makes the following assumptions: ions have different mobilities and diffusion coefficients, there is no generation-recombination process, the equilibrium carrier concentrations are uniform and equal each other, the electrodes are either completely blocking or blocked with adsorption-desorption processes. The final result is the analytical expression of the equivalent admittance for the system, allowing to have a clearer picture of the mobile ions and of the processes that occur at the electrode interface influencing the dielectric behavior.

[1] R. J. Klein, S. Zhang, S. Dou, B.H. Jones, R.H. Colby, J. Runt, J. Chem. Phys. 124, 144903 (2006) http://dx.doi.org/10.1063/1.218663810.1063/1.2186638Search in Google Scholar PubMed

[2] J. Grasjö, K. Welch, M. Stromme, Appl. Phys. Lett. 93, 092901 (2008) http://dx.doi.org/10.1063/1.297786110.1063/1.2977861Search in Google Scholar

[3] A. Sawada, J. Appl. Phys. 100, 074103 (2006) http://dx.doi.org/10.1063/1.235544910.1063/1.2355449Search in Google Scholar

[4] A. Sawada, J. Chem. Phys. 126, 224515 (2007) http://dx.doi.org/10.1063/1.274125410.1063/1.2741254Search in Google Scholar PubMed

[5] R. Coelho, Revue Phys. Appl. 18, 137 (1983) http://dx.doi.org/10.1051/rphysap:0198300180301370010.1051/rphysap:01983001803013700Search in Google Scholar

[6] I. D. Raistrick, J.R. Macdonald, D.R. Franceschetti, Impedance Spectroscopy: Theory, Experiment, and Applications, (John Wiley & Sons, New York 1987) Search in Google Scholar

[7] J. R. Macdonald, J. Chem. Phys. 58, 4982 (1973) http://dx.doi.org/10.1063/1.167908610.1063/1.1679086Search in Google Scholar

[8] J. R. Macdonald, J. Phys.: Condens. Matter 22, 495101 (2010) http://dx.doi.org/10.1088/0953-8984/22/49/49510110.1088/0953-8984/22/49/495101Search in Google Scholar PubMed

[9] A. L. Alexe-Ionescu, G. Barbero, I. Lelidis, Phys. Rev. E 80, 061203 (2009) http://dx.doi.org/10.1103/PhysRevE.80.06120310.1103/PhysRevE.80.061203Search in Google Scholar PubMed

[10] J. R. Macdonald, Phys. Rev. 92, 4 (1953) http://dx.doi.org/10.1103/PhysRev.92.410.1103/PhysRev.92.4Search in Google Scholar

[11] J. R. Macdonald, J. Chem. Phys. 68, 1614 (1978) http://dx.doi.org/10.1063/1.43592910.1063/1.435929Search in Google Scholar

[12] D. R. Franceschetti, J.R. Macdonald, J. Appl. Phys. 50, 291 (1979) http://dx.doi.org/10.1063/1.32565810.1063/1.325658Search in Google Scholar

[13] G. Barbero, A.L. Alexe-Ionescu, I. Lelidis, J. Appl. Phys. 98, 113703 (2005) http://dx.doi.org/10.1063/1.213744410.1063/1.2137444Search in Google Scholar

[14] G. Barbero, F. Batalioto, A.M.F. Neto, J. Appl. Phys. 101, 054102 (2007) http://dx.doi.org/10.1063/1.270953110.1063/1.2709531Search in Google Scholar

[15] F. Batalioto, G. Barbero, A.M.F. Neto, J. Appl. Phys. 102, 104111 (2007) http://dx.doi.org/10.1063/1.280945210.1063/1.2809452Search in Google Scholar

[16] G. Barbero, Phys. Rev. E 71, 062201 (2005) http://dx.doi.org/10.1103/PhysRevE.71.06220110.1103/PhysRevE.71.062201Search in Google Scholar PubMed

[17] F. Batalioto, O.G. Martins, A.R. Duarte, A.M.F. Neto, Eur. Phys. J. E 34, 10 (2011) http://dx.doi.org/10.1140/epje/i2011-11010-310.1140/epje/i2011-11010-3Search in Google Scholar PubMed

[18] G. Barbero, I. Lelidis, Phys. Rev. E 76, 051501 (2007) http://dx.doi.org/10.1103/PhysRevE.76.05150110.1103/PhysRevE.76.051501Search in Google Scholar PubMed

[19] J. R. Macdonald, D.R. Franceschetti, R. Meaudre, J. Phys. C 10, 1459 (1977) http://dx.doi.org/10.1088/0022-3719/10/9/01810.1088/0022-3719/10/9/018Search in Google Scholar

[20] I. Lelidis, G. Barbero, Phys. Lett. A 343, 440 (2005) http://dx.doi.org/10.1016/j.physleta.2005.06.03810.1016/j.physleta.2005.06.038Search in Google Scholar

[21] G. Barbero, F. Batalioto, A.M.F. Neto, Appl. Phys. Lett. 92, 172908 (2008) http://dx.doi.org/10.1063/1.290804410.1063/1.2908044Search in Google Scholar

[22] A. L. Alexe-Ionescu, G. Barbero, I. Lelidis, J. Phys. Chem. B 113, 14747 (2009) http://dx.doi.org/10.1021/jp906479w10.1021/jp906479wSearch in Google Scholar

[23] A. L. Alexe-Ionescu, G. Barbero, F.C.M. Freire, M. Scalerandi, Liq. Cryst. 33, 1177 (2006) http://dx.doi.org/10.1080/0267829060101097210.1080/02678290601010972Search in Google Scholar

[24] C. P. Ganea, Rom. J. Phys. 57, 664 (2012) Search in Google Scholar

[25] W. van Roosbroeck, Phys. Rev. 91, 282 (1953) http://dx.doi.org/10.1103/PhysRev.91.28210.1103/PhysRev.91.282Search in Google Scholar

[26] W. van Roosbroeck, Phys. Rev. 123, 474 (1961) http://dx.doi.org/10.1103/PhysRev.123.47410.1103/PhysRev.123.474Search in Google Scholar

[27] G. Barbero, A.L. Alexe-Ionescu, Liq. Cryst. 32, 943 (2005) http://dx.doi.org/10.1080/0267829050022810510.1080/02678290500228105Search in Google Scholar

[28] A. Sawada, et al., Mol. Cryst. Liq. Cryst. Sci. Technol. Sect. A 318, 225 (1998) http://dx.doi.org/10.1080/1058725980804538610.1080/10587259808045386Search in Google Scholar

[29] A. Sawada, J. Chem. Phys. 129, 064701 (2008) http://dx.doi.org/10.1063/1.296587710.1063/1.2965877Search in Google Scholar

[30] M. X. Zhang, S. Chai, G.J. Zaho, Organic Electronics 13, 215 (2012) http://dx.doi.org/10.1016/j.orgel.2011.10.01510.1016/j.orgel.2011.10.015Search in Google Scholar

[31] M. P. de Haas, G.P. van der Laan, B.R. Wegewijs, D.M. de Leeuw, P. Bauerele et al., Synthetic Metals 101, 524 (1999) http://dx.doi.org/10.1016/S0379-6779(98)00523-210.1016/S0379-6779(98)00523-2Search in Google Scholar

[32] M. X. Zhang, G.J. Zhao, ChemSusChem. 5, 879 (2012) http://dx.doi.org/10.1002/cssc.20110051010.1002/cssc.201100510Search in Google Scholar PubMed

[33] G. J. Zhao, B.H. Northrop, K.L. Han, P.J. Stang, J. Phys. Chem. A 114, 9007 (2010) http://dx.doi.org/10.1021/jp105009t10.1021/jp105009tSearch in Google Scholar PubMed

[34] G. J. Zhao, J.Y. Liu, L.C. Zhou, K.L. Han, J. Phys. Chem. B 111, 8940 (2007) http://dx.doi.org/10.1021/jp073453010.1021/jp0734530Search in Google Scholar PubMed

[35] G. J. Zhao, K.L. Han, Acc Chem Res. 45, 404 (2012) http://dx.doi.org/10.1021/ar200135h10.1021/ar200135hSearch in Google Scholar PubMed

Published Online: 2013-5-22
Published in Print: 2013-4-1

© 2013 Versita Warsaw

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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