Journal of the Korean Electrochemical Society (전기화학회지)

The Korean Electrochemical Society (한국전기화학회)
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Consideration on the Non-linearity of Warburg Impedance for Fourier Transform Electrochemical Impedance Spectroscopy

  • Received : 2014.03.28
  • Accepted : 2014.05.12
  • Published : 2014.05.31
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Abstract

Here I report on how Fourier Transform Electrochemical Impedance Spectroscopy (FTEIS) overcomes the potential-current linearity problem encountered in the impedance calculation process. FTEIS was first invented to solve the time-related drawback of the conventional impedance technique. The dramatic time reduction of FTEIS enabled the real-time impedance measurement but brought about the linearity problem at the same time. While the conventional method circumvents the problem using the steady-state made by a sufficiently long measurement time, FTEIS cannot because of its real-time function. However, according to the mathematical development reported in this article, the potential step used in FTEIS is proved to avoid the linearity problem. During the step period, the potential and the current are linearized by the electrochemical impedance. Also, Fourier transform of the differentiated potential and current is proved to give the same result of the original ones.

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References

  1. B.-Y. Chang and S.-M. Park, Annu. Rev. Anal. Chem. 3, 207-229 (2010). https://doi.org/10.1146/annurev.anchem.012809.102211
  2. H. Cho and D.-Y. Yoon, J. Korean Electrochem. Soc. 16, 217-224 (2013). https://doi.org/10.5229/JKES.2013.16.4.217
  3. J. Chun, S.K. Jeon and J.H. Chun, J. Korean Electrochem. Soc. 16, 211-216 (2013). https://doi.org/10.5229/JKES.2013.16.4.211
  4. U. Jo, Y.-I. Kim, J.-K. Yoon, J.-J. Yoo and H.-N. Yoon, J. Korean Electrochem. Soc. 16, 129-137 (2013). https://doi.org/10.5229/JKES.2013.16.3.129
  5. H. Cho and D.-Y. Yoon, J. Korean Electrochem. Soc. 15, 165-171 (2012). https://doi.org/10.5229/JKES.2012.15.3.165
  6. S.K. Kim, T.Y. Kang, G.S. Cha, H. Nam and J.H. Shin, J. Korean Electrochem. Soc. 15, 242-248 (2012). https://doi.org/10.5229/JKES.2012.15.4.242
  7. M. Sluyters-Rehbach and J.H. Sluyters, J. Electroanal. Chem. 102, 415-419 (1979). https://doi.org/10.1016/S0022-0728(79)80468-4
  8. Z.B. Stoynov, Electrochim. Acta 37, 2357-2359 (1992). https://doi.org/10.1016/0013-4686(92)85132-5
  9. A.M. Bond, N.W. Duffy, S.-X. Guo, J. Zhang and D. Elton, Anal. Chem. 77, 186A-195A (2005).
  10. G.A. Ragoisha and A.S. Bondarenko, Electrochemistry Communications 5, 392-395 (2003). https://doi.org/10.1016/S1388-2481(03)00075-4
  11. S.M. Park and J.S. Yoo, Anal. Chem. 75, 455A-461A (2003).
  12. B.-Y. Chang and S.-M. Park, Anal. Chem. 79, 4892-4899 (2007). https://doi.org/10.1021/ac070169w
  13. J.-Y. Park, Y.-S. Lee, B.-Y. Chang, S. Karthikeyan, K.S. Kim, B.H. Kim and S.-M. Park, Anal. Chem. 81, 3843-3850 (2009). https://doi.org/10.1021/ac900220n
  14. J.-Y. Park, Y.-s. Lee, B.-Y. Chang, B.H. Kim, S. Jeon and S.-M. Park, Anal. Chem. 82, 8342-8348 (2010). https://doi.org/10.1021/ac1019232
  15. R. Jurczakowski and A. Lasia, Anal. Chem. 76, 5033-5038 (2004). https://doi.org/10.1021/ac0493929
  16. A.J. Bard and L.R. Faulkner, Electrochemical Methods: Fundamentals and Applications. Wiley, New York (2002).
  17. A. Lasia, Electrochemical Impedance Spectroscopy and its applications. In Modern Aspects of Electrochemistry, White, R. E.; Conway, B. E.; Bockris, J. O. M., Eds. Plenum Press: New York, 1999; Vol. 32.
  18. E. Barsoukov and J.R. Macdonald, Impedance spectroscopy: theory, experiment, and applications. 2ed. Wiley-Interscience, (2005).
  19. K.-M. Nam, D.-H. Shin, N. Jung, M.G. Joo, S. Jeon, S.-M. Park and B.-Y. Chang, Analytical Chemistry 85, 2246-2252 (2013). https://doi.org/10.1021/ac303108n
  20. P. Delahay and G. Mamantov, Anal. Chem. 27, 478-483 (1955). https://doi.org/10.1021/ac60100a001
  21. P. Delahay, J. Am. Chem. Soc. 75, 1430-1435 (1953). https://doi.org/10.1021/ja01102a046
  22. E. Kreyzig, Advanced Engineering Mathematics. 10ed. Laurie Rosatone, Jefferson City (2011).

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