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Methods—A Potential–Dependent Thiele Modulus to Quantify the Effectiveness of Porous Electrocatalysts

Journal Article · · Journal of the Electrochemical Society

Electrochemical reactors often employ high surface area electrocatalysts to accelerate volumetric reaction rates and increase productivity. While electrocatalysts can alleviate kinetic overpotentials, diffusional resistances at the pore-scale often prevent full catalyst utilization. The effect of intraparticle diffusion on the overall reaction rate can be quantified through an effectiveness factor expression governed by the Thiele modulus parameter. This analytical approach is integral to the development of catalytic structures for thermochemical processes and has previously been extended to electrochemical processes by accounting for the relationship between reaction kinetics and electrode overpotential. In this paper, we illustrate the method by deriving the expression for the potential-dependent Thiele modulus and using it to quantify the effectiveness factor for porous electrocatalytic structures. Specifically, we demonstrate the application of this mathematical framework to spherical microparticles as a function of applied overpotential across catalyst properties and reactant characteristics. The relative effects of kinetics and mass transport are related to overall reaction rates, revealing markedly lower catalyst utilization at increasing overpotential. Subsequently, we generalize the analysis to different catalyst shapes and provide guidance on the design of porous catalytic materials for use in electrochemical reactors.

Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States). Joint Center for Energy Storage Research (JCESR)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC02-06CH11357
OSTI ID:
1983007
Journal Information:
Journal of the Electrochemical Society, Journal Name: Journal of the Electrochemical Society Journal Issue: 12 Vol. 168; ISSN 0013-4651
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English

References (69)

Analytical modelling of CO 2 reduction in gas-diffusion electrode catalyst layers journal October 2021
Transport Phenomena: Challenges and Opportunities for Molecular Catalysis in Metal–Organic Frameworks journal June 2020
High-energy-density electrochemical flow capacitors containing quinone derivatives impregnated in nanoporous carbon beads journal January 2017
The use of porous electrodes to obtain kinetic rate constants for rapid reactions and adsorption isotherms of poisons journal June 1976
Effectiveness factor for thin catalytic coatings: Improved analytical approximation using perturbation techniques journal March 2012
Redox flow batteries a review journal September 2011
Modeling Oxygen Transport in High Surface Area Carbon Supports for Polymer-Electrolyte Fuel Cells journal June 2020
On shape factors for irregular particles—I journal January 1957
Diffusion and Current Generation in Porous Electrodes for Thermo-electrochemical Cells journal July 2019
Optimal Porosity Distribution for Minimized Ohmic Drop across a Porous Electrode journal January 2010
Short communication the effectiveness of particulate bed electrodes under activation control journal March 1982
Quantifying Mass Transfer Rates in Redox Flow Batteries journal January 2017
Examining Ohmic Losses in Fuel-Cell Catalyst Layers with Different Pt/C Ratios journal April 2020
Invalidity of continuum theories of electrolytes in nanopores journal March 2000
Elucidating the Nuanced Effects of Thermal Pretreatment on Carbon Paper Electrodes for Vanadium Redox Flow Batteries journal October 2018
Electrochemical behaviour of vanadium(V)/vanadium(IV) redox couple at graphite electrodes journal January 1992
The impact of surface chemistry and texture on the CO2 uptake capacity of graphene oxide journal October 2018
Binder-free carbon nano-network wrapped carbon felt with optimized heteroatom doping for vanadium redox flow batteries journal January 2019
A Thiele Modulus Approach for Nonequilibrium Adsorption Processes and Its Application to CO2 Capture journal January 2020
Aligned hierarchical electrodes for high-performance aqueous redox flow battery journal August 2020
A theoretical analysis of the optimal electrode thickness and porosity journal February 2019
Modeling Transport in Polymer-Electrolyte Fuel Cells journal October 2004
An improved two-dimensional agglomerate cathode model to study the influence of catalyst layer structural parameters journal May 2005
Multi-variable optimization of PEMFC cathodes using an agglomerate model journal June 2007
Ion transport in nanofluidic channels journal January 2010
A proposed agglomerate model for oxygen reduction in the catalyst layer of proton exchange membrane fuel cells journal December 2014
Calculation of Effectiveness Factors in Spherical Shells journal October 1987
Chemical modification of graphite electrode materials for vanadium redox flow battery application—part II. Acid treatments journal October 1992
Redox flow batteries for energy storage: their promise, achievements and challenges journal August 2019
Modification of graphite electrode materials for vanadium redox flow battery application—I. Thermal treatment journal June 1992
An Effectiveness Model for Electrochemical Reactions in Electrodes of Intermediate-Temperature Solid Oxide Fuel Cells journal July 2015
Relation between Catalytic Activity and Size of Particle journal July 1939
The Electrochemical Flow Capacitor: A New Concept for Rapid Energy Storage and Recovery journal May 2012
Multiscale modeling of proton exchange membrane fuel cells by coupling pore-scale models of the catalyst layers and cell-scale models journal May 2021
A technology review of electrodes and reaction mechanisms in vanadium redox flow batteries journal January 2015
Extension of Newman’s method to electrochemical reaction–diffusion in a fuel cell catalyst layer journal April 2002
Modeling Air Electrodes with Low Platinum Loading journal January 2019
Modeling the Performance of A Flow-Through Gas Diffusion Electrode for Electrochemical Reduction of CO or CO 2 journal July 2020
Removal of Cr 6+ ions from water by electrosorption on modified activated carbon fibre felt journal September 2018
Voltage Losses in Fuel Cell Cathodes journal January 1980
Kinetic enhancement via passive deposition of carbon-based nanomaterials in vanadium redox flow batteries journal October 2017
The Mechanism of Operation of the Teflon-Bonded Gas Diffusion Electrode: A Mathematical Model journal January 1969
Role of reduced graphene oxide as nano-electrocatalyst in carbon felt electrode of vanadium redox flow battery journal March 2017
Aqueous semi-solid flow cell: demonstration and analysis journal August 2013
Carbon Support Microstructure Impact on High Current Density Transport Resistances in PEMFC Cathode journal January 2020
The role of intraparticle diffusion path length during electro-assisted regeneration of ion exchange resins: Implications for selective adsorbent design and reverse osmosis pretreatment journal March 2021
The influence of mass transport on the effectiveness of particulate bed electrodes journal September 1983
Metal and Metal Oxide Electrocatalysts for Redox Flow Batteries journal March 2020
Towards High-Energy-Density Pseudocapacitive Flowable Electrodes by the Incorporation of Hydroquinone journal January 2015
Assessment methods and performance metrics for redox flow batteries journal February 2021
Porous-electrode theory with battery applications journal January 1975
Fungi-Derived, Functionalized, and Wettability-Improved Porous Carbon Materials: An Excellent Electrocatalyst toward VO 2+ /VO 2 + Redox Reaction for Vanadium Redox Flow Battery journal January 2018
Semi-Solid Lithium Rechargeable Flow Battery journal May 2011
New evaluation method for the effectiveness of platinum/carbon electrocatalysts under operating conditions journal December 2010
The Influence of Electrode and Channel Configurations on Flow Battery Performance journal January 2014
An Electrochemical Effectiveness Model and Its Implication for Performance Loss Due to Electrode Microstructural Degradation in Solid Oxide Fuel Cells journal July 2016
Engineering porous electrodes for next-generation redox flow batteries: recent progress and opportunities journal December 2019
Ultrathin Conformal oCVD PEDOT Coatings on Carbon Electrodes Enable Improved Performance of Redox Flow Batteries journal August 2020
Hierarchical zeolites: enhanced utilisation of microporous crystals in catalysis by advances in materials design journal January 2008
The Prospect of Electrochemical Technologies Advancing Worldwide Water Treatment journal February 2019
Balancing the Micro‐Mesoporosity for Activity Maximization of N‐Doped Carbonaceous Electrocatalysts for the Oxygen Reduction Reaction journal February 2019
Corn protein-derived nitrogen-doped carbon materials with oxygen-rich functional groups: a highly efficient electrocatalyst for all-vanadium redox flow batteries journal January 2014
Electrochemical Effectiveness Factors for Butler-Volmer Reaction Kinetics in Active Electrode Layers of Solid Oxide Fuel Cells journal December 2017
Mass Transport in Gas-Diffusion Electrodes: A Diagnostic Tool for Fuel-Cell Cathodes journal January 1998
Mitigation of PEM Fuel Cell Catalyst Degradation with Porous Carbon Supports journal January 2019
Exploration of Biomass-Derived Activated Carbons for Use in Vanadium Redox Flow Batteries journal April 2020
Multimodal porous and nitrogen-functionalized electrode based on graphite felt modified with carbonized porous polymer skin layer for all-vanadium redox flow battery journal March 2019
Micro-modelling of solid oxide fuel cell electrodes journal January 1998
A Hierarchical Model for Oxygen Transport in Agglomerates in the Cathode Catalyst Layer of a Polymer-Electrolyte Fuel Cell journal January 2018

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