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 - Vidaković-Koch, Tanja
AU - Panić, Vladimir
AU - Andrić, Milan
AU - Petkovska, Menka
AU - Sundmacher, Kai
PY - 2011
UR - http://TechnoRep.tmf.bg.ac.rs/handle/123456789/1866
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 - Amer Chemical Soc, Washington
T2 - Journal of Physical Chemistry C
T1 - Nonlinear Frequency Response Analysis of the Ferrocyanide Oxidation Kinetics. Part I. A Theoretical Analysis
EP - 17351
IS - 35
SP - 17341
VL - 115
DO - 10.1021/jp201297v
ER -
@article{
author = "Vidaković-Koch, Tanja and Panić, Vladimir and Andrić, 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 = "Amer Chemical Soc, Washington",
journal = "Journal of Physical Chemistry C",
title = "Nonlinear Frequency Response Analysis of the Ferrocyanide Oxidation Kinetics. Part I. A Theoretical Analysis",
pages = "17351-17341",
number = "35",
volume = "115",
doi = "10.1021/jp201297v"
}
Vidaković-Koch, T., Panić, V., Andrić, 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
Amer Chemical Soc, Washington., 115(35), 17341-17351.
https://doi.org/10.1021/jp201297v
Vidaković-Koch T, Panić V, Andrić 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 .
Vidaković-Koch, Tanja, Panić, Vladimir, Andrić, 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 . .
