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• W2036304906 endingPage "2018" @default.
• W2036304906 startingPage "1999" @default.
• W2036304906 abstract "The Barker/Brumleve/Buck (BBB) circuits and sub-circuit units, are derived and illustrated for the generation of the conventional two-feature mass transport-controlled impedance. This finite 2-port, 4-terminal network for a single salt system, replaces the classical 1-port, 2-terminal cable transmission line analog because the latter describes only the lower-frequency Warburg feature. Symmetric or asymmetric cell results depend only on the ion or electron terminals used. Three feature impedance plane plots for slow, potential-dependent ion and/or electron transfers with activation resistance and relaxed double layer capacitance, are generated and illustrated. Residual solution resistance and total cell geometric capacitance are included to generate the expected four-feature impedance plots for cells without special features such as ion pairing and adsorption–reaction processes. This paper presents new results for a circuit description of electron hopping in redox polymers with concomitant counter ion motion. The forms of single species flux equation: Barker, Nernst–Planck, and electron-hopping are compared. The latter two are converted into responses I or j vs φ functions that define “T” circuit elements. Two forms arise that define the implicit Ri or Re, and Ci or Ce per unit length (i=ion, e=electron), and the corresponding explicit R and C. The analysis uses as examples (1) a single dissolved, inert electrolyte salt M+ X−, and (2) a redox polymer electrolyte radical cation and anion, also M+, X−, undergoing second order electron hopping from M to M+. The corresponding forms for the Rs and Cs are derived. A second case is illustrated to show how the d.c. bias changes the polymer cation/anion compositions (assuming Nernstian behavior), and so determines different Re and Ce at each composition through the effective second order, concentration-dependent electron hopping." @default.
• W2036304906 created "2016-06-24" @default.
• W2036304906 creator A5020091760 @default.
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• W2036304906 date "1999-01-01" @default.
• W2036304906 modified "2023-10-18" @default.
• W2036304906 title "Origins of finite transmission lines for exact representations of transport by the Nernst–Planck equations for each charge carrier" @default.
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• W2036304906 doi "https://doi.org/10.1016/s0013-4686(98)00309-0" @default.
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