On the Use of the Power-Law Model for Interpreting Constant-Phase-Element Parameters

Orazem, Mark E.; Tribollet, Bernard; Vivier, Vincent; Riemer, Douglas P.; White, Erick A.; Bunge, Annette L.

doi:10.5935/0103-5053.20140021

Cited by 9 publications

(11 citation statements)

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“…In the case of a parallel connection of a Constant Phase Elements CPE and a resistance R, the relationship between the capacitance C and the associated CPE can be calculated by using [35]:…”

Section: Electrochemical Characterization: Corrosion Behaviourmentioning

confidence: 99%

Corrosion and tribocorrosion behaviour of β-type Ti-Nb and Ti-Mo surfaces designed by diffusion treatments for biomedical applications

et al. 2018

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Corrosion and tribocorrosion behaviour of modified Ti surfaces through thermochemical treatments has been studied. Electrochemical Impedance Spectroscopy (EIS) and reciprocating sliding tests using a ball-on-plate tribometer under 1 N load and alumina as counter-material were used to evaluate the influence of Nb and Mo on titanium corrosion and tribocorrosion properties. Ti-Nb and Ti-Mo surfaces exhibited better anticorrosive properties than CP-titanium. Under tribological action the modified Ti surfaces showed similar coefficient of friction and lower tendency to corrosion compared to CP-Ti. Furthermore, Nb diffusion increased the repassivation rate with respect to Ti and Ti-Mo surfaces due to its stable passive film.

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Section: Electrochemical Characterization: Corrosion Behaviourmentioning

confidence: 99%

Corrosion and tribocorrosion behaviour of β-type Ti-Nb and Ti-Mo surfaces designed by diffusion treatments for biomedical applications

et al. 2018

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“…Thus, the confidence intervals are reported for ln(δ/nm). When the standard deviation for ln(δ/nm) was smaller than 0.2 nm, the distribution approximated a normal distribution log normally distribution, as was reported by Orazem et al 17 Thus, a linear propagation of error analysis could provide a valid confidence interval for δ for the measurement at an elapsed time of 7.2 ks, but the Monte Carlo analysis was required for the measurement at an elapsed time of 300 ks. The film thickness values reported as δ correspond to values calculated directly from Equation 9.…”

Section: Discussionmentioning

confidence: 59%

“…where Z c , associated with oxygen reduction, has the general form expressed in terms of lumped parameters as [16] where [17] represents the interfacial impedance on the wall of porous electrode, [21] and…”

Section: Process Model Developmentmentioning

confidence: 99%

“…In spite of this difficulty, the power-law model for interpretation of CPE parameters has found application for oxide films on steel, 5 human skin, 5,11,12 and coatings, [13][14][15] and has even found commercial application. 16 Orazem et al 17 addressed the difficulties in applying Equation 5 associated with uncertain values for the resistivity ρ δ . The usual approach is to estimate a value of ρ δ by performing a calibration experiment in which XPS is used to estimate film thickness for a coupon for which impedance measurements were made, 5,18 apply Equation 5 to estimate ρ δ for an specified dielectric constant, and then to assume that this value of ρ δ applies for all other impedance measurements.…”

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confidence: 99%

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Application of Impedance Spectroscopy and Surface Analysis to Obtain Oxide Film Thickness

Chen¹,

Rudawski²,

Lambers³

et al. 2017

J. Electrochem. Soc.

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The corrosion behavior of ASTM A416 steel in alkaline electrolyte was investigated by electrochemical and surface analysis approaches, including X-ray photoelectron spectroscopy (XPS) and high-angle annular dark-field scanning transmission electron microscopy (HAADF-STEM). The power-law model was used to extract values for oxide film thickness from constant-phase-element (CPE) parameters obtained as functions of operating conditions. Calibration experiments showed that, despite different silicon content in nominally identical steels, different film thicknesses as observed by HAADF-STEM, and different impedance responses, three samples yielded a common value for ρ δ , an important parameter in the power-law model. Application of Monte Carlo simulations showed that values of both ρ δ and film thickness δ followed log normal distributions. Application of the power-law model allowed extraction of film thicknesses, yielding 2-6 nm for silicon-rich steel and 1-2 nm for silicon-poor steel.

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“…Previous works have used a probabilistic approach to describe water uptake within a barrier layer [21,36,37]. Orazem et al developed the power-law CPE model, which can describe the insight into the distribution of electrolyte uptake and associated resistivity, and they considered the various volume fractions of electrolyte with respect to the coating thickness by using a power-law approach [37].…”

Section: Pore Distribution Of Coated Systemmentioning

confidence: 99%

Probing the degradation mechanism of a Cr(VI) coating/aluminum alloy 2024-T3 system based on dynamic mechanisms and a 2D deterministic-probabilistic approach

Cho

Cubides

Castaneda

2017

Electrochimica Acta

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Electrochemical impedance spectroscopy (EIS) has been experimentally used to characterize the degradation mechanisms of a multilayered Cr(VI) coating/aluminum alloy 2024-T3 substrate system in 3.5% NaCl solution at low pH. A 2D damage evolution model is proposed to understand the influence of defined elements into the multilayered coating/substrate degradationprocess. The model was developed assuming steady state conditions, while discretization of the model included multilayered stacks such as a topcoat, a primer, and a chromate conversion layer as a pretreatment on an aluminum substrate. The modeling technique was deterministic-stochastic in nature. The deterministic approach was based on a transmission line model that was developed to represent the local impedance for small segments of the system to characterize physicochemical properties inherent to the organic coatings and the transport mechanisms. The randomly generated structures including coating pore distributions are illustrated by stochastic modeling with probability density functions. The quantitative understanding of the degradation mechanism from this 2D model is achieved, and the 2D analysis shows consistent results with experimental conditions over various immersion times.

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On the Use of the Power-Law Model for Interpreting Constant-Phase-Element Parameters

Cited by 9 publications

References 0 publications

Corrosion and tribocorrosion behaviour of β-type Ti-Nb and Ti-Mo surfaces designed by diffusion treatments for biomedical applications

Corrosion and tribocorrosion behaviour of β-type Ti-Nb and Ti-Mo surfaces designed by diffusion treatments for biomedical applications

Application of Impedance Spectroscopy and Surface Analysis to Obtain Oxide Film Thickness

Probing the degradation mechanism of a Cr(VI) coating/aluminum alloy 2024-T3 system based on dynamic mechanisms and a 2D deterministic-probabilistic approach

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