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Distribution of Relaxation Times: Debye Length Distribution vs Electrode Polarization by a Cole−Cole Relaxation Model

Vicente Compañ, Ricardo Diaz-Calleja, Joaquín Diaz-Boils, Jorge Escorihuela

2022Journal of The Electrochemical Society13 citationsDOIOpen Access PDF

Abstract

Mobility, diffusivity and charge density in polyelectrolytes, are generally determined from electrochemical impedance spectroscopy following the electrode polarization analysis, in which at a given temperature the peaks in tan δ are fitted based on a model. These results can be different depending on the model used in the fitting of the curves. Generally, the models are based on a single Debye model or on the existence of an overlap in relaxation times (Cole–Cole model). In this work, we propose the alternative use of the distribution of the relaxation times by a distribution of the Debye length (L D ), which allows the calculation of parameters such as mobility, diffusivity, and charge density as a function of L D in a more concise approach.

Topics & Concepts

Cole–Cole equationDielectric spectroscopyDebyeThermal diffusivityRelaxation (psychology)Polarization (electrochemistry)Debye lengthDistribution functionDebye modelCharge densityCondensed matter physicsElectrodeThermodynamicsMaterials scienceChemistryStatistical physicsPhysicsDielectricElectrochemistryIonPhysical chemistryQuantum mechanicsOrganic chemistryOptoelectronicsPsychologySocial psychologyAdvanced Battery Materials and TechnologiesElectrochemical Analysis and ApplicationsConducting polymers and applications
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