Frumkin-Butler-Volmer theory and mass transfer in electrochemical cells

Soestbergen, van M Michiel

doi:10.1134/s1023193512060110

Cited by 76 publications

(83 citation statements)

References 47 publications

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“…We note that the Debye layers can be included implicitly by including the Frumkin correction to the reaction model. This correction can be implemented by an appropriate choice of the charge-transfer coefficients [22]. Together with Eq.…”

Section: Governing Equationsmentioning

confidence: 99%

“…In this way, Eq. (4) represents a wide range of reaction models from classical Butler-Volmer kinetics to Marcus kinetics and Butler-Volmer-Frumkin kinetics [20][21][22].…”

Section: Governing Equationsmentioning

confidence: 99%

“…Also, while the model may not describe reaction kinetics as well as more elaborate models, it nevertheless correctly captures the exponential dependence on overpotential, which is an almost universal feature in reaction models [21,22].…”

Section: Introductionmentioning

confidence: 99%

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Morphological instability during steady electrodeposition at overlimiting currents

Nielsen

Bruus

2015

Phys. Rev. E

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We present a linear stability analysis of a planar metal electrode during steady electrodeposition. We extend the previous work of Sundstrom and Bark by accounting for the extended space-charge density, which develops at the cathode once the applied voltage exceeds a few thermal voltages. In accordance with Chazalviel's conjecture, the extended space-charge region is found to greatly affect the morphological stability of the electrode. To supplement the numerical solution of the stability problem, we have derived analytical expressions valid in the limit of low and high voltage, respectively.

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Section: Governing Equationsmentioning

confidence: 99%

“…In this way, Eq. (4) represents a wide range of reaction models from classical Butler-Volmer kinetics to Marcus kinetics and Butler-Volmer-Frumkin kinetics [20][21][22].…”

Section: Governing Equationsmentioning

confidence: 99%

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Morphological instability during steady electrodeposition at overlimiting currents

Nielsen

Bruus

2015

Phys. Rev. E

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“…Models for J i (r, t), R j (r, t) andR j (r, t) are required to complete the theory. Substituting Equation 26 for the time derivative of the species concentrations, Equation 25 becomes…”

Section: E3278mentioning

confidence: 99%

“…which is of the form of the generalized Frumkin-Butler-Volmer kinetics model, 26 but includes the effect on the rate of the residual chemical potential.…”

Section: The Reaction Expressions-in Order To Apply Equation 36mentioning

confidence: 99%

A Non-Electroneutral Model for Complex Reaction-Diffusion Systems Incorporating Species Interactions

Minton

Purkayastha

Lue³

2017

J. Electrochem. Soc.

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In this study we develop a general framework for describing reaction-diffusion processes in a multi-component electrolyte in which multiple reactions of different types may occur. Our motivation for this is the need to understand how the interactions between species and processes occurring in a complex electrochemical system. We use the framework to develop a modified Poisson-Nernst-Planck model which accounts for the excluded volume interaction (EVI) and incorporates both electrochemical and chemical reactions. Using this model, we investigate how the EVI influences the reactions and how the reactions influence each other in the contexts of the equilibrium state of a system and of a simple electrochemical device under load. Complex behavior quickly emerges even in relatively simple systems, and deviations from the predictions of ideal solution theory, together with how they may influence the behavior of more complex system, are discussed. Electrochemical energy storage devices play a crucial role in the modern world, having enabled the development of a wide range of portable and mobile devices in a vast range of applications. They also have significant future potential in facilitating a shift away from environmentally damaging fossil fuels as our primary source of energy, through the electrification of transport and as load balancing for the variability suffered by most forms of renewable energy. However, modeling these systems can be challenging because the overall behavior is typically the emergent result of a large number of processes and interactions at the microscopic scale, making linking the microscopic behavior to the macroscopic performance complicated. Furthermore, individual processes may themselves be complex, so simplifications have to be made if we wish to understand the device behavior at macroscopic length and time-scales.By way of example, the particular system in which we are interested is that of a lithium-sulfur (LiS) cell, a promising post-lithium-ion technology with both an expected practical energy density of 500-600 Wh kg −1 and a lower raw materials cost. 1,2 The overall discharge process of a LiS cell involves the reduction of solid phase S 8 to solid phase Li 2 S, according to the reactionWhile the overall process is bound by the dissolution of S 8 and the precipitation of Li 2 S, the intermediate steps occur between species in the solvent/electrolyte phase, involving the electrodissolution of lithium from the anode and a range of electrochemical and chemical reactions involving a number of ionic sulfur species at the cathode. While these types of process are not uncommon in traditional (i.e. non-intercalation) battery chemistries, the sheer number of species and intermediate elementary reaction steps involved, together with the integral role played by chemical reaction processes, make understanding the LiS mechanism complex. 3The common approach to modeling LiS cells is similar to that taken for many electrochemical devices, with the reduction of the cell structure to a one-dimension...

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