A nonlinear Cole–Cole model for large-amplitude electrochemical impedance spectroscopy

Hernández-Jaimes, C.; Vazquez‐Arenas, Jorge; Vernon‐Carter, E.J.; Álvarez‐Ramírez, José

doi:10.1016/j.ces.2015.06.015

Cited by 10 publications

(5 citation statements)

References 39 publications

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“…The SS value, as observed in eqs and , is associated with ion concentration. Both the literature and our experimental findings (the increase of the C value (not shown here)) indicate that the ion concentration on the electrode surface increases as the voltage amplitude increases. ,− Once the threshold voltage is reached, the flow of ions decreases, resulting in observable changes in the SS behavior that are consistent with the alteration in concentration.…”

Section: Resultssupporting

confidence: 67%

Evaluation of the Nonlinear Response of KCl Solution to High-Amplitude Stimulation Using a Four-Point Cylindrical Gold Electrode

Sharifi,

Saviz,

Faraji-Dana

2024

J. Phys. Chem. B

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A four-electrode system and high-voltage amplitude stimulation (with a voltage of more than 1 V) are always used for nonlinear spectroscopy of biological solutions like yeast suspension. Multiple studies indicate that yeast membrane activities are the primary source of the harmonics detected from yeast suspensions. However, other investigations have demonstrated that at least part of the harmonics are mainly due to the nonlinear impedance of the electrode−electrolyte interface. Here, we want to find a mathematical model to analyze the odd harmonics generated by the interface. The KCl solution is the basis of the essential medium used in yeast culture. No study models the nonlinear behavior of the KCl solution using four-electrode. We used a sinusoidal voltage with a low frequency and a high amplitude to test an ionic solution with 1, 30, and 130 mM of potassium chloride. The voltage had no direct current component. Here, we show that the relationship between the amplitude of the excitation voltage and the third harmonic of the current can be accurately represented using the Butler−Volmer equation. Additionally, we analyze the impact of potassium chloride (KCl) concentration on the behavior of the third harmonic. This paper presents a method and model that can be used for nonlinear spectroscopy studies of biological solutions using a four-electrode system with the aim of deriving information from cells without considering the interface effect.

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Section: Resultssupporting

confidence: 67%

Evaluation of the Nonlinear Response of KCl Solution to High-Amplitude Stimulation Using a Four-Point Cylindrical Gold Electrode

Sharifi,

Saviz,

Faraji-Dana

2024

J. Phys. Chem. B

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“…9 Hernandez-Jaimes et al derived nonlinear transfer functions to model the nonlinear EIS responses of gelatinized starch suspensions (GSS), commonly used as biopolymeric electrolytic system. 41 The main focus of the study was to develop a mathematical analysis for NLEIS and hence a simple system was chosen. The impedance response at fundamental frequency to large amplitude perturbation was recorded using PARSTAT 2263.…”

Section: Simple Electron Transfer Reaction-one Of the Simplest Electr...mentioning

confidence: 99%

Review—Nonlinear Electrochemical Impedance Spectroscopy

Fasmin

Ramanathan

2017

J. Electrochem. Soc.

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Nonlinear Electrochemical Impedance Spectroscopy (NLEIS) is a method of characterizing an electrochemical systems by applying a large amplitude sinusoidal perturbation signal. This article presents a comprehensive review of existing literature on NLEIS analysis development and applications. Two types of NLEIS reports available in the literature, viz. one in which only the fundamental impedance is studied and the other in which both the fundamental and higher harmonic responses are analyzed, are reviewed. Early reports on the development of NLEIS methodology are compiled. Recent advances in the application of NLEIS, in particular in the area of fuel cells, are summarized. In addition, applications of related techniques such as total harmonic distortion and Volterra kernel are included in the purview of this article. There is a large scope for applying NLEIS to understand electrochemical processes. The roadblocks that need to be overcome to enable wider application of NLEIS are identified, and directions for further research are suggested.

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“…A linear system is a system in which the superposition principle holds [47]: the response of a linear system to a linear combination of perturbation signals is a linear combination of the responses of the system to each one of the individual perturbation signals [48]. However, nonlinear effects, such as nonlinear kinetics (Buttler-Volmer's equation) and saturation, often appear in the investigation of electrochemical systems [49]. For this reason, low amplitude perturbations are used in EIS measurements [50], in order to ensure the fulfilment of the linearity condition [51].…”

Section: Introductionmentioning

confidence: 99%

Harmonic analysis based method for linearity assessment and noise quantification in electrochemical impedance spectroscopy measurements: Theoretical formulation and experimental validation for Tafelian systems

Giner-Sanz

Ortega

Pérez-Herranz

2016

Electrochimica Acta

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ElsevierGiner-Sanz, JJ.; Ortega Navarro, EM.; Pérez-Herranz, V. (2016). Harmonic analysis based method for linearity assessment and noise quantification in electrochemical impedance spectroscopy measurements: Theoretical formulation and experimental validation for Tafelian systems. Abstract:Electrochemical Impedance Spectroscopy (EIS) is an electrochemical measurement technique that has been applied to a broad range of applications. Three conditions must be fulfilled in order to obtain valid EIS measurements: causality, linearity and stationarity. The non fulfilment of any of these conditions may lead to distorted and biased EIS spectra. Consequently, the verification of the four fundamental conditions is mandatory before accepting any results extracted from an EIS spectrum. In this work, a harmonic analysis based method for linearity assessment and noise quantification in EIS measurements is presented, and validated both from an experimental point of view and from a theoretical point of view, for Tafelian systems. It was shown that the presented method was able to quantitatively assess the nonlinearity of the system; and to quantify and characterize the noise. Moreover, the presented method is able to determine the threshold frequency of the system above which the system does not present significant nonlinear effects even for very large perturbation amplitudes.

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A nonlinear Cole–Cole model for large-amplitude electrochemical impedance spectroscopy

Cited by 10 publications

References 39 publications

Evaluation of the Nonlinear Response of KCl Solution to High-Amplitude Stimulation Using a Four-Point Cylindrical Gold Electrode

Evaluation of the Nonlinear Response of KCl Solution to High-Amplitude Stimulation Using a Four-Point Cylindrical Gold Electrode

Review—Nonlinear Electrochemical Impedance Spectroscopy

Harmonic analysis based method for linearity assessment and noise quantification in electrochemical impedance spectroscopy measurements: Theoretical formulation and experimental validation for Tafelian systems

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