Abstract
Analytical solution of non-steady state chronoamperometric current at ultramicroband electrode is derived. The analytical expression for current (Padé approximant), valid for entire time domain is compared with the analytical and digital simulation data. A satisfactory agreement with the available limiting cases of analytical expressions and digital simulation data is noted.
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Fleischmann, M., Pons, S., Rolison, D.R., and Schmidt, P.P., Ultramicroelectrodes: Theory and Practice, NC, Morganton: Datatech Systems Publishers, 1987.
Wightman, R.M. and Wipf, D.O., in Electroanalytical Chemistry, Bard, A.J., Ed., New York: Marcel Dekker, 1988, vol. 15, p. 267, Chapter 3.
Bard, A.J. and Fan, F.R.F., Acc. Chem. Res., 1996, vol. 29, p. 572.
Travis, E.R. and Wightman, R.M., Rev. Biophys. Biomol. Struc., 1998, vol. 27, p. 77.
Amatore, C. and Fosset, B., Anal. Chem., 1996, vol. 68, p. 4377.
Thormann, W., Van den Vosch, P., and Bond, A.M., Anal. Chem., 1985, vol. 57, p. 2764.
Wehmeyer, K.R., Deakin, M.R., and Wightman, R.M., Anal. Chem., 1985, vol. 57, no. 9, p. 1913.
Paul, E.W., Ricco, J.T., and Wrighton, M.S., J. Phys. Chem., 1985, vol. 89, p. 1441.
Thackeray, J.W., White, H.S., and Wrighton, M.S., J. Phys. Chem., 1985, vol. 89, p. 5133.
Kittlesen, G.P., White, H.S., and Wrighton, M.S., A., J. Amer. Chem., Soc., 1985, vol. 107, p. 7373.
Oldham, K.B., J. Electroanal. Chem., 1981, vol. 122, p. 1.
Kovachi, P.M., Caudill, W.L., Peters, D.G., and Wightman, R.M., J. Electroanal. Chem., 1985, vol. 185, p. 285.
Aoki, K., Tokuda, K., and Matsuda, H.J., J. Electroanal. Chem., 1987, vol. 225, p. 19.
Coen, S., Cope, D.K., and Tallman, D.E., J. Electroanal. Chem., 1986, vol. 215, p. 29.
Szabo, A., Cope, D.K., Tallman, D.E., Kovachi, P.M., and Wightman R.M., J. Electroanal. Chem., 1987, vol. 217, p. 417.
Phillips, C.G., J. Electroanal. Chem., 1990, vol. 296, p. 255.
Phillips, C.G. and Jansons, K.M., Proc. R. Soc. London, 1990; vol. 428, p. 431.
Rajendran, L. and Sangaranarayanan, M.V., J. Electroanal. Chem., 1995, vol. 392, p. 75.
Rajendran, L. and Sangaranarayanan, M.V., J. Phys. Chem., Ser. B, 1997, vol. 101, p. 4583.
Aoki, K., Tokuda, K., and Matsuda, H., J. Electroanal. Chem., 1987, vol. 230, p. 61.
Britz, D., Poulsen, K., and Strutwolf, J., Electrochim. Acta, 2005, vol. 51, p. 333.
Aoki, K., Electroanalysis, 1993, vol. 5, p. 627.
Amatore, C., Saveant, J.M., and Tessier, D., J. Electroanal. Chem., 1983, vol. 147, p. 39.
Wazwaz, A.M., Appl. Math. Comput., 2003, vol. 145, p. 525.
Wazwaz, A.M., Appl. Math. Comput., 2001, vol. 123, no. 1, p. 109.
Adomian, G., Solving Frontier Problems of Physics: The Decomposition Method, Boston: Kluwer, 1994.
Abdou, M.A., Soliman, A.A., J. Comp. Appl. Math., 2005, vol. 181, no. 2, p. 245.
Tatari, M., Dehghan, M., Chaos, Solitons and Fractals, 2007, vol. 33, p. 671.
He, J.H., Internat J. Nonlinear Mech., 1999, vol. 34, no. 4, p. 699.
Şimşek H., Çelik E., Appl. Math. Comput., 2003, vol. 146, p. 681.
Khodier, A.M.M., Appl. Math. Comput., 2004, vol. 148, p. 753.
Baker, G.A. and Graves-Morris, Padé Approximants, Part I, II, London: Addision-Wesley, 1981.
Sangaranarayanan, M.V. and Rangarajan, S.K., Chem. Phys. Lett., 1983, vol. 101, p. 49.
Kratky, K.W., J. Chem. Phys., 1978, vol. 69, p. 2251.
Basha, C.A. and Sangaranarayanan, M.V., J. Electroanal. Chem., 1989, vol. 261, p. 431.
Rajendran, L. and Nallaswamy, R., Electroanalysis, 1998, vol. 10, p. 506.
Rajendran, L. and Sangaranarayanan, M.V., J. Phys. Chem., Ser. B, 1999, vol. 103, no. 9, p. 1518.
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Published in Russian in Elektrokhimiya, 2008, Vol. 44, No. 10, pp. 1244–1250.
The text was submitted by the authors in English.
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Senthamarai, R., Rajendran, L. Analytical expression for transient chronoamperometric current at ultramicroband electrode. Russ J Electrochem 44, 1156–1161 (2008). https://doi.org/10.1134/S102319350810011X
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DOI: https://doi.org/10.1134/S102319350810011X