The power-law reaction rate coefficient for barrierless reactions

Yin, Cangtao; Du, Jiulin

doi:10.1088/1742-5468/2014/07/p07012

Cited by 5 publications

(3 citation statements)

References 38 publications

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“…Therefore, a deflection of helium from its trajectory can also disturb the Gaussian profile of the NO distribution. The collision frequency between a particle A and other collision partners j can be estimated by a hard sphere model of the classical collision theory as [60]…”

Section: Two-dimensional No Density Maps In the Effluent (Yz-plane)mentioning

confidence: 99%

Three-dimensional density distributions of NO in the effluent of the COST reference microplasma jet operated in He/N₂/O₂

Preissing

Korolov

Schulze

et al. 2020

Plasma Sources Sci. Technol.

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Laser induced fluorescence spectroscopy (LIF) is used to measure absolute ground state densities of nitric oxide (NO) in the effluent of the COST reference microplasma jet (COST-jet) with three-dimensional spatial resolution. The jet is operated in helium with a nitrogen/oxygen admixture. The experiments are performed with the jet expanding into open air and into a controlled He/synthetic air atmosphere. The most efficient production of NO is found at a 0.5% admixture of N2/O2 at a ratio of 4/1, that is considered to be synthetic air. Maximum NO densities of 3.25 × 1014 cm−3 and 4.5 × 1014 cm−3 are measured in the air and He/synthetic air atmosphere, respectively, at an axial distance of 2 mm from the nozzle. The distribution patterns are found to transit into a turbulent regime for air atmosphere at greater axial distances, while in the He/synthetic air atmosphere this effect is not observed. It is found that the expansion of the region of high NO density in the effluent is strongly coupled to the helium flow. Furthermore, the NO density is found to depend on the absolute feed gas flow, i.e. its maximum decreases as a function of the gas flow. This is a result of the longer residence time of the gas in the active plasma volume at lower gas flows and higher energy densities. For very high values of the applied radio frequency power the NO density is saturated. From time resolved measurements of the LIF signals the quenching coefficient for the NO(A 2Σ+) state by air is found to be k u,air = 4.2(±0.5) × 10−11 cm3 s−1, while quenching by He is negligible, k u,He ⩽ 1 × 10−14 cm3 s−1. The amount of ambient air intruding the helium effluent is determined as well.

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Section: Two-dimensional No Density Maps In the Effluent (Yz-plane)mentioning

confidence: 99%

Three-dimensional density distributions of NO in the effluent of the COST reference microplasma jet operated in He/N₂/O₂

Preissing

Korolov

Schulze

et al. 2020

Plasma Sources Sci. Technol.

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show abstract

“…The single Boltzmann factor employed in the BV kinetic model is recovered as a limiting case. We note that the generalization of reaction rate coefficients using the q-exponential structure instead of the standard Arrhenius exponential function has been proposed by Niven, 28 Bagci, 29 Yin et al [30][31][32] amongst others, [33][34][35][36] but to the best of our knowledge this is the first study on the extension of the BV model using such a framework for analyzing battery data. Furthermore, we are not aware of any studies using the κ-exponential function to do so.…”

Section: Introductionmentioning

confidence: 98%

Deformed Butler-Volmer Models for Convex Semilogarithmic Current-Overpotential Profiles of Li-ion Batteries

Allagui¹,

Benaoum²,

Wang³

2022

Preprint

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The Butler-Volmer (BV) equation links the current flux crossing an electrochemical interface to the electric potential drop across it with the assumption of Arrhenius kinetics and the Boltzmann factor. Applying the semilogarithmic Tafel analysis in which the logarithm of current is plotted vs. the overpotential one expects straight lines from which the fundamental reaction rate of the kinetic process can be computed.However, some Li-ion battery data, which is the focus here, show nonlinear convex profiles that cannot be adequately fitted with the standard BV model. We propose instead two deformed BV models for the analysis of such types of behaviors constructed from the superposition of cells exhibiting only local equilibrium and thus giving rise to the power-law q-exponential and κ-exponential functions. Non-Boltzmann distributions have been successfully employed for the modeling of a wide spectrum of physical systems in nonequilibrium situations, but not yet for batteries. We verify the validity of the deformed BV models on experimental data obtained from LiFePO 4 and Li-O 2 batteries.

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“…The single Boltzmann factor employed in the BV kinetic model is recovered as a limiting case. We note that the generalization of reaction rate coefficients using the q -exponential structure instead of the standard exponential function has been proposed by Niven, Bagci, and Yin et al, − among others, − but to the best of our knowledge, this is the first study on the extension of the BV model using such a framework for analyzing battery data. Furthermore, we are not aware of any studies using the κ-exponential function to do so.…”

Section: Introductionmentioning

confidence: 99%

Deformed Butler–Volmer Models for Convex Semilogarithmic Current-Overpotential Profiles of Li-ion Batteries

2022

View full text Add to dashboard Cite

The Butler−Volmer (BV) equation links the current flux crossing an electrochemical interface to the electric potential drop across it with the assumption of Arrhenius kinetics and the Boltzmann factor. Applying the semilogarithmic Tafel analysis in which the logarithm of current is plotted vs the overpotential, one expects straight lines from which the fundamental reaction rate of the kinetic process can be computed. However, some Li-ion battery data, which is the focus here, show nonlinear convex profiles that cannot be adequately fitted with the standard BV model. We propose instead two deformed BV models for the analysis of such types of behaviors constructed from the superposition of cells exhibiting only local equilibrium and thus giving rise to the power-law q-exponential and κ-exponential functions. Non-Boltzmann distributions have been successfully employed for the modeling of a wide spectrum of physical systems in nonequilibrium situations, but not yet for batteries. We verify the validity of the deformed BV models on experimental data obtained from LiFePO 4 and Li−O 2 batteries.

show abstract

The power-law reaction rate coefficient for barrierless reactions

Cited by 5 publications

References 38 publications

Three-dimensional density distributions of NO in the effluent of the COST reference microplasma jet operated in He/N₂/O₂

Three-dimensional density distributions of NO in the effluent of the COST reference microplasma jet operated in He/N₂/O₂

Deformed Butler-Volmer Models for Convex Semilogarithmic Current-Overpotential Profiles of Li-ion Batteries

Deformed Butler–Volmer Models for Convex Semilogarithmic Current-Overpotential Profiles of Li-ion Batteries

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The power-law reaction rate coefficient for barrierless reactions

Cited by 5 publications

References 38 publications

Three-dimensional density distributions of NO in the effluent of the COST reference microplasma jet operated in He/N2/O2

Three-dimensional density distributions of NO in the effluent of the COST reference microplasma jet operated in He/N2/O2

Deformed Butler-Volmer Models for Convex Semilogarithmic Current-Overpotential Profiles of Li-ion Batteries

Deformed Butler–Volmer Models for Convex Semilogarithmic Current-Overpotential Profiles of Li-ion Batteries

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Three-dimensional density distributions of NO in the effluent of the COST reference microplasma jet operated in He/N₂/O₂

Three-dimensional density distributions of NO in the effluent of the COST reference microplasma jet operated in He/N₂/O₂