In this work, a nonlinear frequency response (NLFR) analysis was used for a first time in a theoretical study of nonlinear behavior of electrochemical (EC) ferrocyanide oxidation as a simple model reaction. Analytical expressions of the first- and second-order frequency response functions (FRFs) are derived. The first-order FRF is equivalent to the EC admittance and contains information about the linear behavior of the system, whereas the second-order FRF contains additional nonlinear information. The influence of different parameters, such as the heterogeneous rate constant, solution resistance, double-layer capacitance, diffusion coefficients of the reacting species, and electrode rotation rate on the characteristics of the first- and second-order FRFs was checked and discussed. It was found that the second-order FRF is more sensitive to the changes of the studied parameters than the first-order FRF. Experimental verification of the NLFR analysis of EC ferrocyanide oxidation is prese...nted in Part II of this work
Source:
Journal of Physical Chemistry C, 2011, 115, 35, 17341-17351
TY - JOUR
AU - Vidakovic-Koch, Tanja R.
AU - Panić, Vladimir
AU - Andric, Milan
AU - Petkovska, Menka
AU - Sundmacher, Kai
PY - 2011
UR - https://cer.ihtm.bg.ac.rs/handle/123456789/852
AB - In this work, a nonlinear frequency response (NLFR) analysis was used for a first time in a theoretical study of nonlinear behavior of electrochemical (EC) ferrocyanide oxidation as a simple model reaction. Analytical expressions of the first- and second-order frequency response functions (FRFs) are derived. The first-order FRF is equivalent to the EC admittance and contains information about the linear behavior of the system, whereas the second-order FRF contains additional nonlinear information. The influence of different parameters, such as the heterogeneous rate constant, solution resistance, double-layer capacitance, diffusion coefficients of the reacting species, and electrode rotation rate on the characteristics of the first- and second-order FRFs was checked and discussed. It was found that the second-order FRF is more sensitive to the changes of the studied parameters than the first-order FRF. Experimental verification of the NLFR analysis of EC ferrocyanide oxidation is presented in Part II of this work
PB - American Chemical Society (ACS)
T2 - Journal of Physical Chemistry C
T1 - Nonlinear Frequency Response Analysis of the Ferrocyanide Oxidation Kinetics. Part I. A Theoretical Analysis
VL - 115
IS - 35
SP - 17341
EP - 17351
DO - 10.1021/jp201297v
ER -
@article{
author = "Vidakovic-Koch, Tanja R. and Panić, Vladimir and Andric, Milan and Petkovska, Menka and Sundmacher, Kai",
year = "2011",
abstract = "In this work, a nonlinear frequency response (NLFR) analysis was used for a first time in a theoretical study of nonlinear behavior of electrochemical (EC) ferrocyanide oxidation as a simple model reaction. Analytical expressions of the first- and second-order frequency response functions (FRFs) are derived. The first-order FRF is equivalent to the EC admittance and contains information about the linear behavior of the system, whereas the second-order FRF contains additional nonlinear information. The influence of different parameters, such as the heterogeneous rate constant, solution resistance, double-layer capacitance, diffusion coefficients of the reacting species, and electrode rotation rate on the characteristics of the first- and second-order FRFs was checked and discussed. It was found that the second-order FRF is more sensitive to the changes of the studied parameters than the first-order FRF. Experimental verification of the NLFR analysis of EC ferrocyanide oxidation is presented in Part II of this work",
publisher = "American Chemical Society (ACS)",
journal = "Journal of Physical Chemistry C",
title = "Nonlinear Frequency Response Analysis of the Ferrocyanide Oxidation Kinetics. Part I. A Theoretical Analysis",
volume = "115",
number = "35",
pages = "17341-17351",
doi = "10.1021/jp201297v"
}
Vidakovic-Koch, T. R., Panić, V., Andric, M., Petkovska, M.,& Sundmacher, K.. (2011). Nonlinear Frequency Response Analysis of the Ferrocyanide Oxidation Kinetics. Part I. A Theoretical Analysis. in Journal of Physical Chemistry C
American Chemical Society (ACS)., 115(35), 17341-17351.
https://doi.org/10.1021/jp201297v
Vidakovic-Koch TR, Panić V, Andric M, Petkovska M, Sundmacher K. Nonlinear Frequency Response Analysis of the Ferrocyanide Oxidation Kinetics. Part I. A Theoretical Analysis. in Journal of Physical Chemistry C. 2011;115(35):17341-17351.
doi:10.1021/jp201297v .
Vidakovic-Koch, Tanja R., Panić, Vladimir, Andric, Milan, Petkovska, Menka, Sundmacher, Kai, "Nonlinear Frequency Response Analysis of the Ferrocyanide Oxidation Kinetics. Part I. A Theoretical Analysis" in Journal of Physical Chemistry C, 115, no. 35 (2011):17341-17351,
https://doi.org/10.1021/jp201297v . .
