Abstract
Two procedures, viz., the epsilon convergence algorithm and Pade approximation scheme, are used to evaluate the current function values, graphical representation of the output, and verification of the model using existing data are carried out. For theoretical simulations of voltammograms, closed form of rational expressions using Pade approximant for the response of various reactions schemes involving soluble reactant and product, as well as coupled chemical process to an imposed linear scans were derived. Similarly, it was demonstrated epsilon convergence as an alternative procedure is much easier and elegant to use by an electroanalytical chemist with extreme ease.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
Randles, J.E.B., Trans. Faraday Soc., 1948, vol. 44, p. 327.
Sevick, A., Collect. Czech. Chem. Commun., 1948, vol. 13, p. 349.
Saveant, J.M. and Vianello, E., Electrochim. Acta, 1963, vol. 8, p. 905.
Nicholson, R.S. and Shain, I., Anal. Chem., 1964, vol. 36, p. 706.
Nicholson, R.S. and Olmstead, M.L., Electrochemistry: Calculations, Simulation and Instrumentation, Mattson, J.S., Mark, H.B., Hubert, J.R., and MacDonald, J.C., Eds., New York: Marcel Dekker, 1972, ch. 5.
Bard, A.J. and Faulkner, L.R., Electrochemical Methods, New York: Wiley, 1980.
Feldberg, S.W., Electroanalytical Chemistry, Bard, A.J., Ed., New York: Marcel Dekker, 1969, vol. 3, p. 199.
Feldberg, S.W., J. Electroanal. Chem., 1990, vol. 290, p. 49.
Britz, D., Digital Simulation in Electrochemistry, Berlin: Springer, 1988.
Maloy, J.T., Laboratory Techniques in Electroanalytical Chemistry, Kissinger, P.T. and Heineman, W.R., Eds., New York: Marcel Dekker, 1984, p. 417.
Feldberg, S.W., J. Electroanal. Chem., 1981, vol. 127, p. 1.
Gosser, D.K., Cyclic Voltammetry Simulation and Analysis of Reaction Mechanisms, New York: VCH, 1993.
Marques Da Silva, B., Avaca, L.A., and Gonzalez, E.R., J. Electroanal. Chem., 1989, vol. 269, p. 1.
Fredrichs, M.S., Friesner, R.A., and Bard, A.J., J. Electroanal. Chem., 1989, vol. 258, p. 243.
Horno, J. and Garcia-Hernandez, M.T., J. Electroanal. Chem., 1993, vol. 352, p. 83.
Feldberg, S.W., J. Electroanal. Chem., 1990, vol. 290, p. 49.
Winograd, N., J. Electroanal. Chem., 1973, vol. 43, p. 1.
Heinze, J., Strozbach, M., and Mortensen, J., J. Electroanal. Chem., 1984, vol. 165, p. 61.
Storzbach, M. and Heinze, J., J. Electroanal. Chem., 1993, vol. 345, p. 1.
Rudolph, M., J. Electroanal. Chem., 1991, vol. 314, p. 13.
Rudolph, M., Reddy, D.P., and Feldberg, S.W., Anal. Chem., 1994, vol. 66, p. 589.
Reinmuth, W.H., Anal. Chem., 1962, vol. 34, p. 1446.
Oldham, K.B., J. Electroanal. Chem., 1979, vol. 105, p. 373.
Muland, J.C. and Oldham, K.B., J. Electroanal. Chem., 1983, vol. 153, p. 43.
Whiting, L.F. and Carr, P.W., J. Electroanal. Chem., 1977, vol. 81, p. 1.
Speioser, B. and Rieker, A., J. Electroanal. Chem., 1979, vol. 102, p. 1.
Ramamurthy, A.C. and Rangarajan, S.K., J. Electrochim. Acta, 1981, vol. 26, p. 111.
Basha, C.A. and Sangaranarayanan, M.V., J. Electroanal. Chem., 1989, vol. 261, p. 431.
Mocak, J., Electrochem. Commun., 2002, vol. 4, p. 803.
Mocak, J. and Bond, A.M., J. Electroanal. Chem., 2004, vol. 561, p. 191.
Wuytack, L., in Pade’ Approximation and Its Application, Wuytack, L., Ed., Berlin: Springer, 1979, p. 375.
Macdonald, D.D., Transient Techniques in Electrochemistry, New York: Plenum, 1977.
Author information
Authors and Affiliations
Corresponding author
Additional information
__________
From Elektrokhimiya, Vol. 41, No. 4, 2005, pp. 482–500.
Original English Text Copyright © 2005 by Sivakumar, Basha.
This article was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
Sivakumar, S., Basha, C.A. Evaluation of the current function in linear sweep voltammetry by Pade approximation and epsilon convergence. Russ J Electrochem 41, 421–438 (2005). https://doi.org/10.1007/s11175-005-0086-z
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11175-005-0086-z