Generalised equivalent circuits for mass and charge transport: chemical capacitance and its implications

Jamnik, J.; Maier, Joachim

doi:10.1039/b100180i

Cited by 444 publications

(538 citation statements)

References 30 publications

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“…Only a small and constant distortion can be seen in the intermediate frequency region that may be related to FTO/electrolyte or even FTO/TiO 2 interfaces. In the overall impedance, this effect is negligible in comparison with the lowfrequency capacitive behavior, which shows an almost vertical straight line corresponding to the charging/discharging of the chemical capacitance of TiO 2 . 3 This brief analysis shows that the three-channel TL model makes it possible to determine the separate conductivity of semiconductor and organic phases, and interfacial charge transfer, in the functionalized nanostructured electrodes, depending on biasing conditions.…”

Section: Resultsmentioning

confidence: 99%

Three-Channel Transmission Line Impedance Model for Mesoscopic Oxide Electrodes Functionalized with a Conductive Coating

et al. 2006

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A three-channel transmission line (TL) impedance model is proposed to address the charge transport behavior of molecular functionalized mesoscopic oxide electrodes at different bias conditions. A full general solution of the three-channel TL for the system is provided in this paper. Selected experimental results of impedance spectroscopy of mesoscopic Al 2 O 3 and TiO 2 networks, covered with a monolayer of Ru complex cis-RuLL′-(NCS) 2 (L ) 2,2′-bipyridyl-4,4′-dicarboxylic acid, L′ ) 4,4′-dinonyl-2,2′-bipyridyl) (Z907), are briefly discussed. It shows that the model constitutes a useful tool for characterizing nanoporous electrodes functionalized with organic conducting layers in the surface. The model makes it possible to determine the separate conductivity of substrate oxide and molecular layer, and interfacial charge transfer, in the functionalized nanostructured electrodes.

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Section: Resultsmentioning

confidence: 99%

Three-Channel Transmission Line Impedance Model for Mesoscopic Oxide Electrodes Functionalized with a Conductive Coating

et al. 2006

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“…This behavior indicates a thermally activated conduction mechanism. In this type of materials (ceramic materials), these semicircles in the impedance plots are generally ascribed to grain (bulk) and grain boundary effects [22]. These two semicircles can be represented by an equivalent circuit constituted by the parallel combinations of resistance R and capacitance C, connected in series with another RC parallel connection.…”

Section: Complex Impedance Analysismentioning

confidence: 99%

Complex impedance and electric modulus studies of magnetic ceramic Ni0.27Cu0.10Zn0.63Fe2O4

2015

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Abstract:The electrical properties of Ni 0.27 Cu 0.10 Zn 0.63 Fe 2 O 4 (NCZF) prepared from auto combustion synthesis of ferrite powders have been studied by impedance and modulus spectroscopy. We studied frequency and temperature dependencies of impedance and electric modulus of NCZF in a wide frequency range (20 Hz-5 MHz) at different measuring temperatures SM T (30-225 ℃). The complex impedance spectra clearly showed both grain and grain boundary effects on the electrical properties. The observed impedance spectra indicated that the magnitude of grain boundary resistance gb R becomes more prominent compared to grain resistance b R at room temperature, and with the increase in SM T , gb R decreases faster than the intrinsic b R . The frequency response of the imaginary part of impedance showed relaxation behavior at every SM T , and the relaxation frequency variation with SM T appeared to be of Arrhenius nature and the activation energy has been estimated to be 0.37 eV. A complex modulus spectrum was used to understand the mechanism of the electrical transport process, which indicated that a non-Debye type of conductivity relaxation characterizes this material.

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“…The thermodynamic factor can be expressed also as where e is the absolute elementary charge, and the chemical capacitance 1,27 (per unit volume) is given by…”

Section: General Definitionsmentioning

confidence: 99%

Chemical Diffusion Coefficient of Electrons in Nanostructured Semiconductor Electrodes and Dye-Sensitized Solar Cells

2004

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The properties and physical interpretation of the electron diffusion coefficient, D n , observed in nanostructured semiconductors and dye-sensitized solar cells by small perturbation electrical and electrooptical techniques are investigated. The chemical diffusion coefficient is defined as the product of a thermodynamic factor (that accounts for the effect of nonideal statistics in a gradient of chemical potential) and a jump diffusion coefficient (that depends on average hopping distances and rates). The thermodynamic and kinetic similarities, as well as the differences, between interacting ions in the lattice and electrons in nanostructured semiconductors are discussed. From these considerations, the chemical diffusion coefficient of electrons for multiple trapping transport in nanoporous dye solar cells can be calculated indirectly, and the results are in agreement with the reduction of the kinetic-transport equations in the quasistatic approximation. The chemical diffusion coefficient in several models for electrons is discussed: for a wide but stationary distribution of sites energies, giving the Fermi-level dependent D n [Fisher et al. J. Phys. Chem. B 2000, 104, 949] and for the enhancement of the diffusivity by effect of electrostatic shift of energy levels [Vanmaekelbergh et al. J. Phys. Chem. B 1999, 103, 747]. This last model is shown to correspond to the mean-field approximation to interaction in a lattice gas. A general expression containing all of these cases is provided, and several important consequences of the distinction between macroscopic diffusion and single particle random walk are pointed out.

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Generalised equivalent circuits for mass and charge transport: chemical capacitance and its implications

Cited by 444 publications

References 30 publications

Three-Channel Transmission Line Impedance Model for Mesoscopic Oxide Electrodes Functionalized with a Conductive Coating

Three-Channel Transmission Line Impedance Model for Mesoscopic Oxide Electrodes Functionalized with a Conductive Coating

Complex impedance and electric modulus studies of magnetic ceramic Ni0.27Cu0.10Zn0.63Fe2O4

Chemical Diffusion Coefficient of Electrons in Nanostructured Semiconductor Electrodes and Dye-Sensitized Solar Cells

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