Fiftieth Anniversary: Mathematical Theory of the Faradaic Admittance

Grahame, David C.

doi:10.1149/1.2779638

Cited by 299 publications

(97 citation statements)

References 6 publications

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“…where  is the electron transfer symmetry factor ( 01   ), 0 j is the exchange current density, and We assume an independent parallel arrangement of the double layer charging current and the intercalation current on the active material/electrolyte surface, following Randle and Graham [25,26]. where ˆt ot j is the total current density.…”

Section: Theoretical Modelmentioning

confidence: 99%

Effects of Nanoparticle Geometry and Size Distribution on Diffusion Impedance of Battery Electrodes

Song¹,

Bazant

2012

J. Electrochem. Soc.

231

195

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The short diffusion lengths in insertion battery nanoparticles render the capacitive behavior of bounded diffusion, which is rarely observable with conventional larger particles, now accessible to impedance measurements. Coupled with improved geometrical characterization, this presents an opportunity to measure solid diffusion more accurately than the traditional approach of fitting Warburg circuit elements, by properly taking into account the particle geometry and size distribution. We revisit bounded diffusion impedance models and incorporate them into an overall impedance model for different electrode configurations. The theoretical models are then applied to experimental data of a silicon nanowire electrode to show the effects of including the actual nanowire geometry and radius distribution in interpreting the impedance data. From these results, we show that it is essential to account for the particle shape and size distribution to correctly interpret impedance data for battery electrodes. Conversely, it is also possible to solve the inverse problem and use the theoretical "impedance image" to infer the nanoparticle shape and/or size distribution, in some cases, more accurately than by direct image analysis. This capability could be useful, for example, in detecting battery degradation in situ by simple electrical measurements, without the need for any imaging.2

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Section: Theoretical Modelmentioning

confidence: 99%

Effects of Nanoparticle Geometry and Size Distribution on Diffusion Impedance of Battery Electrodes

Song¹,

Bazant

2012

J. Electrochem. Soc.

231

195

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“…From the fitting data, the double-layer capacitance can not be directly deduced because the model with the CPE element is used; instead, T is used to describe the double-layer characteristics. 18 This value does not correspond to the actual capacitance, but gives a good comparison between different experiments. As shown in Table 2 double-layer capacitance.…”

Section: Spectroscopic Characterization Of the Cohnf Filmsmentioning

confidence: 99%

Electrochemistry of a Thin Cobalt(II)-Heptacyanonitrosylferrate Film Modified Glassy Carbon Electrode

1998

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During the past years inorganic film modified electrodes have received increased attention due to their potentials in technical applications. Various inorganic materials, such as clays 1 , zeolites 2 , metal oxides 3 , metal phthalocyanines 4 , metal porphyrins 5 , transition metal 6 , polyoxometallates 7 and polynuclear transition metal cyanides [8][9][10] , have been used to fabricate inorganic film modified electrodes. Of these, the use of polynuclear transition metal cyanides as modifiers appears to be especially attractive because a large number of these compounds can be easily prepared. In addition, the well-defined zeolite-like structure makes the description and understanding of the charge-transfer process easier compared with that of organic polymer films. 11Since the pioneering work of Neff and Itaya 8 on Prussian Blue modified electrodes, the field of polynuclear transition metal cyanides modified electrodes has undergone considerable progress over the past years. However, considering the limited diversity of these chemically synthesized compounds, there is still muchwork to be done.In this paper, we report on a method for preparing thin films of CoHNF on glassy carbon electrode surface. The modified electrode exhibits excellent stability in aqueous media. The parameters which affect the voltammetric behavior were examined. Possible analytical applications were attempted. Experimental Materials and apparatusAll chemicals were of certified analytical grade (Merck) and used as received. Solutions were prepared with distilled deionized water from a Millipore system (Millipore, Milford, MA, USA). A 3-mm diameter glassy carbon electrode was polished and cleaned according to a procedure published elsewhere. 10Cyclic voltammetric and electrochemical impedance spectroscopic (EIS) experiments of the modified electrode were carried out as described previously.10 All electrochemical measurements were conducted using a conventional three-electrode system with a triangle arrangement. The modified electrode was used as the working electrode, with a platinum foil counter electrode and a saturated calomel reference electrode (SCE). All potentials reported in this work are referred to the the SCE. ProceduresThe glassy carbon electrode was scanned from -0.6 to -1.15 V in an oxygen-free 1×10 -2 M CoCl 2 -0.1 M KNO 3 solution with a potential scan rate of 20 mV/s and kept at a potential of -1.15 V for a certain period of time. After being removed from the solution and thoroughly rinsed with water, the electrode was dipped in a 0.1 M K 2 [Fe(CN) The electrochemical behavior of a cobalt(II)-heptacyanonitrosylferrate (CoHNF) film on a glassy carbon electrode has been investigated. Cyclic voltammetry shows a single electron-transfer reaction taking place at 0.51 V for the modified electrode. The ion effect of the supporting electrolyte indicates that the ion permeability in the CoHNF film is mainly determined by the hydrated radius of cation. The modified electrode catalyzes redox reactions of the Fe 2+ /Fe 3+ couple. It a...

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“…If an intermediate step of electrochemical reaction exhibits strong adsorption/diffusion to the electrode surface, a high-frequency impedance of electrochemical double layer can be expressed by electrical equivalent circuit presented in Fig. 7, as proposed in [34,35].…”

Section: B Impedance Spectroscopic Analysis Of the Sensormentioning

confidence: 99%

TiO₂-Based Thick Film pH Sensor

et al. 2017

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Abstract-Miniaturized electrochemical pH sensors are increasingly in demand for application such as online monitoring of water quality and health monitoring. The metal oxides are the best candidates for sensing electrodes of such sensors as they offer high chemical stability. In this work, we present a novel approach to obtain interdigitated conductimetric pH sensor using screen printing of TiO 2 thick film on an alumina substrate. The microstructural and crystalline properties of the TiO 2 sensitive film were examined with scanning electron microscopy and Raman spectroscopy. The impedance spectroscopic studies of the fabricated thick film sensor were carried out in the frequency range of 5-20 kHz for the test solutions in the pH range of 4-10 and it was observed that the impedance of the film distinctly dependent on pH. Using the measured impedance data, we have also proposed an equivalent RC network model for the fabricated pH sensor. The physical meaning of the model parameters was determined by electrochemical impedance spectroscopic (EIS) analysis, and through statistical analysis it was found that all parameters are distinctly pH-dependent.

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Fiftieth Anniversary: Mathematical Theory of the Faradaic Admittance

Abstract: not Available.

Cited by 299 publications

References 6 publications

Effects of Nanoparticle Geometry and Size Distribution on Diffusion Impedance of Battery Electrodes

Effects of Nanoparticle Geometry and Size Distribution on Diffusion Impedance of Battery Electrodes

Electrochemistry of a Thin Cobalt(II)-Heptacyanonitrosylferrate Film Modified Glassy Carbon Electrode

TiO₂-Based Thick Film pH Sensor

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Fiftieth Anniversary: Mathematical Theory of the Faradaic Admittance

Abstract: not Available.

Cited by 299 publications

References 6 publications

Effects of Nanoparticle Geometry and Size Distribution on Diffusion Impedance of Battery Electrodes

Effects of Nanoparticle Geometry and Size Distribution on Diffusion Impedance of Battery Electrodes

Electrochemistry of a Thin Cobalt(II)-Heptacyanonitrosylferrate Film Modified Glassy Carbon Electrode

TiO2-Based Thick Film pH Sensor

Contact Info

Product

Resources

About

TiO₂-Based Thick Film pH Sensor