Numerical computation of the Faradaic impedance of inlaid microdisk electrodes using a finite element method with anisotropic mesh adaptation

Michel, Richard; Montella, C.; Verdier, Claude; Diard, J.‐P.

doi:10.1016/j.electacta.2009.12.093

Cited by 14 publications

(9 citation statements)

References 27 publications

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“…Recently, Michel et al [169] carried out a numerical computation of the faradaic impedance of inlaid microdisk electrodes using a finite-element method and discussed the limitations of the Fleischmann and Pons [168] approach. Calculation of the functions Φ 4 and Φ 5 is shown in Exercise 4.8.…”

Section: Diffusion To Disk Electrodementioning

confidence: 99%

Electrochemical Impedance Spectroscopy and its Applications

Lasia¹

2014

686

504

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Section: Diffusion To Disk Electrodementioning

confidence: 99%

Electrochemical Impedance Spectroscopy and its Applications

Lasia¹

2014

686

504

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“…The classic impedance derivations for this system were by Fleischmann and Pons 16,17 , who recognized that the boundary condition should be uniform concentration across the surface, but for mathematical simplicity used a uniform flux and then averaged the calculated surface concentrations 18 . This was remedied by later workers 19,20 . Michel et al 20 used accurate numerical simulations for the general case of the reaction O + e À R with Butler-Volmer kinetics, and showed that for large standard rate constants the ac concentration was uniform across the surface.…”

Section: Resultsmentioning

confidence: 99%

“…This was remedied by later workers 19,20 . Michel et al 20 used accurate numerical simulations for the general case of the reaction O + e À R with Butler-Volmer kinetics, and showed that for large standard rate constants the ac concentration was uniform across the surface. They showed numerically for fast rates at the reversible potential and with equal diffusivities and bulk concentrations that the mass transport part of the impedance at zero frequency approached 2 in some dimensionless units.…”

Section: Resultsmentioning

confidence: 99%

On the relationship between limiting current and mass-transport impedance at zero frequency

Harrington¹

2019

Preprint

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The zero-frequency reversible mass transport impedance (measured at the reversible potential) is shown to be simply related to the limiting current density (far from the reversible potential). For mass transport of a single species exchanging n electrons with the electrode, their product is RT/nF . For the two-species case, O + ne -> R, the same product is found, provided the harmonic mean of the anodic and cathodiclimiting currents is used. This applies for most of the mass-transport situations found in electrochemistry, including with forced convection or for electrodes without uniform accessibility.

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“…where j stands for the imaginary unit and ω for the pulsation. The boundary condition at the electrode surface is obtained from the linearization of the reaction rate (eq 2) as already described in ref 26.…”

Section: ■ Experimental and Methodsmentioning

confidence: 99%

Electrochemical Impedance Spectroscopy in a Droplet of Solution for the Investigation of Liquid/Solid Interface

Assis

Melo

et al. 2016

Anal. Chem.

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The local electrochemical behavior of a solid-liquid interface can be studied by electrochemical impedance spectroscopy (EIS). The investigated surface area can be delimited by adding a drop of solution, which forms an interface between the liquid drop and the working electrode, and performing the measurements inside. The size of the drop must be sufficiently small for a simultaneous wettability characterization (from the contact angle measurement) and appropriately large so that wettability is not influenced by the presence of the working and the counter electrode inserted in the droplet. In this work, we showed that EIS measurements can be performed in a solution droplet of 2 to 4 μL, although the electrochemical cell lacks the usual geometry. For our measurements, we studied a model system consisting of a KCl aqueous solution of [Fe(CN)] redox couple at a Pt electrode. All the results were compared with those obtained for a bulk configuration. The sessile drop configuration and the EIS response were modeled using finite element method for different electrode sizes and configurations to account for electrochemical kinetics and both current and potential distributions.

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Numerical computation of the Faradaic impedance of inlaid microdisk electrodes using a finite element method with anisotropic mesh adaptation

Abstract: Numerical computation of the Faradaic impedance of inlaid microdisk electrodes using a finite element method with anisotropic mesh adaptation.

Cited by 14 publications

References 27 publications

Electrochemical Impedance Spectroscopy and its Applications

Electrochemical Impedance Spectroscopy and its Applications

On the relationship between limiting current and mass-transport impedance at zero frequency

Electrochemical Impedance Spectroscopy in a Droplet of Solution for the Investigation of Liquid/Solid Interface

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