1
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Patel DM, Kastlunger G. Non-Nernstian Effects in Theoretical Electrocatalysis. Chem Rev 2025; 125:3378-3400. [PMID: 40048413 DOI: 10.1021/acs.chemrev.4c00803] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/27/2025]
Abstract
Electrocatalysis is one of the principal pathways for the transition to sustainable chemistry, promising greater energy efficiency and reduced emissions. As the field has grown, our theoretical understanding has matured. The influence of the applied potential on reactivity has developed from the first-order predictions based on the Nernst equation to the implicit inclusion of second-order effects including the interaction of reacting species with the interfacial electric field. In this review, we explore these non-Nernstian field effects in electrocatalysis, aiming to both understand and exploit them through theory and computation. We summarize the critical distinction between Nernstian and non-Nernstian effects and outline strategies to address the latter in theoretical studies. Subsequently, we examine the specific energetic contributions of the latter on capacitive and faradaic processes separately. We also underscore the importance of considering non-Nernstian effects in catalyst screening and mechanistic analysis. Finally, we provide suggestions on how to experimentally unravel these effects, offering insights into practical approaches for advancing the field.
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Affiliation(s)
- Dipam Manish Patel
- Catalysis Theory Center, Department of Physics, Technical University of Denmark (DTU), 2800 Kgs. Lyngby, Denmark
| | - Georg Kastlunger
- Catalysis Theory Center, Department of Physics, Technical University of Denmark (DTU), 2800 Kgs. Lyngby, Denmark
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2
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Yu Z, Xu Z, Zeng R, Xu M, Zheng H, Huang D, Weng Z, Tang D. D-Band-Center-Engineered Platinum-Based Nanozyme for Personalized Pharmacovigilance. Angew Chem Int Ed Engl 2025; 64:e202414625. [PMID: 39254212 DOI: 10.1002/anie.202414625] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/01/2024] [Revised: 09/02/2024] [Accepted: 09/10/2024] [Indexed: 09/11/2024]
Abstract
A high-efficiency PtZnCd nanozyme was screened with density functional theory (DFT) and unique d-orbital coupling features for sensitive enrichment and real-time analysis of CO-releasing molecule-3 (CORM-3). Multicatalytic sites in the nanozyme showed a high reactivity of up to 72.89 min-1 for peroxidase (POD)-like reaction, which was 2.2, 4.07, and 14.67 times higher than that of PtZn (32.67 min-1), PtCd (17.89 min-1), and Pt (4.97 min-1), respectively. Normalization of the catalytic sites showed that the catalytic capacity of the active site in PtZnCd was 2.962 U μmol-1, which was four times higher than that of a pure Pt site (0.733 U μmol-1). DFT calculations showed that improved d-orbital coupling between different metals reduces the position of the center of the shifted whole d-band relative to the Fermi energy level, thereby increasing the contribution of the sites to the electron transfer from the active center, accompanied by enhanced substrate adsorption and intermediate conversion in the catalytic process. The potential adsorption principle and color development mechanism of CORM-3 on PtZnCd were determined, and its practical application in drug metabolism was validated in vitro and in zebrafish and mice models, demonstrating that transition-metal doping effectively engineers high-performance nanozymes and optimizes artificial enzymes.
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Affiliation(s)
- Zhichao Yu
- Key Laboratory for Analytical Science of Food Safety and Biology (MOE & Fujian Province), Department of Chemistry, Fuzhou University, Fuzhou, 350108, China
| | - Zhenjin Xu
- College of Biological Science and Engineering, Fuzhou University, Fuzhou, 350108, China
| | - Ruijin Zeng
- Key Laboratory for Analytical Science of Food Safety and Biology (MOE & Fujian Province), Department of Chemistry, Fuzhou University, Fuzhou, 350108, China
- School of Materials Science and Engineering, Peking University, Beijing, 100871, China
| | - Man Xu
- Key Laboratory for Analytical Science of Food Safety and Biology (MOE & Fujian Province), Department of Chemistry, Fuzhou University, Fuzhou, 350108, China
| | - Haisu Zheng
- College of Biological Science and Engineering, Fuzhou University, Fuzhou, 350108, China
| | - Da Huang
- College of Biological Science and Engineering, Fuzhou University, Fuzhou, 350108, China
| | - Zuquan Weng
- College of Biological Science and Engineering, Fuzhou University, Fuzhou, 350108, China
- Department of Plastic Surgery, the First Affiliated Hospital of Fujian Medical University, Fuzhou, 350108, China
| | - Dianping Tang
- Key Laboratory for Analytical Science of Food Safety and Biology (MOE & Fujian Province), Department of Chemistry, Fuzhou University, Fuzhou, 350108, China
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3
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Jones TE, Teschner D, Piccinin S. Toward Realistic Models of the Electrocatalytic Oxygen Evolution Reaction. Chem Rev 2024; 124:9136-9223. [PMID: 39038270 DOI: 10.1021/acs.chemrev.4c00171] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 07/24/2024]
Abstract
The electrocatalytic oxygen evolution reaction (OER) supplies the protons and electrons needed to transform renewable electricity into chemicals and fuels. However, the OER is kinetically sluggish; it operates at significant rates only when the applied potential far exceeds the reversible voltage. The origin of this overpotential is hidden in a complex mechanism involving multiple electron transfers and chemical bond making/breaking steps. Our desire to improve catalytic performance has then made mechanistic studies of the OER an area of major scientific inquiry, though the complexity of the reaction has made understanding difficult. While historically, mechanistic studies have relied solely on experiment and phenomenological models, over the past twenty years ab initio simulation has been playing an increasingly important role in developing our understanding of the electrocatalytic OER and its reaction mechanisms. In this Review we cover advances in our mechanistic understanding of the OER, organized by increasing complexity in the way through which the OER is modeled. We begin with phenomenological models built using experimental data before reviewing early efforts to incorporate ab initio methods into mechanistic studies. We go on to cover how the assumptions in these early ab initio simulations─no electric field, electrolyte, or explicit kinetics─have been relaxed. Through comparison with experimental literature, we explore the veracity of these different assumptions. We summarize by discussing the most critical open challenges in developing models to understand the mechanisms of the OER.
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Affiliation(s)
- Travis E Jones
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, United States
- Department of Inorganic Chemistry, Fritz-Haber-Institute of the Max-Planck-Society, Berlin 14195, Germany
| | - Detre Teschner
- Department of Inorganic Chemistry, Fritz-Haber-Institute of the Max-Planck-Society, Berlin 14195, Germany
- Department of Heterogeneous Reactions, Max-Planck-Institute for Chemical Energy Conversion, Mülheim an der Ruhr 45470, Germany
| | - Simone Piccinin
- Consiglio Nazionale delle Ricerche, Istituto Officina dei Materiali, Trieste 34136, Italy
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4
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Beinlich SD, Kastlunger G, Reuter K, Hörmann NG. Controlled Electrochemical Barrier Calculations without Potential Control. J Chem Theory Comput 2023; 19:8323-8331. [PMID: 37933878 PMCID: PMC10688182 DOI: 10.1021/acs.jctc.3c00836] [Citation(s) in RCA: 7] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/31/2023] [Revised: 10/19/2023] [Accepted: 10/23/2023] [Indexed: 11/08/2023]
Abstract
The knowledge of electrochemical activation energies under applied potential conditions is a prerequisite for understanding catalytic activity at electrochemical interfaces. Here, we present a new set of methods that can compute electrochemical barriers with accuracy comparable to that of constant potential grand canonical approaches, without the explicit need for a potentiostat. Instead, we Legendre transform a set of constant charge, canonical reaction paths. Additional straightforward approximations offer the possibility to compute electrochemical barriers at a fraction of computational cost and complexity, and the analytical inclusion of geometric response highlights the importance of incorporating electronic as well as the geometric degrees of freedom when evaluating electrochemical barriers.
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Affiliation(s)
- Simeon D. Beinlich
- Fritz-Haber-Institut
der Max-Planck-Gesellschaft, Faradayweg 4-6, 14195 Berlin, Germany
- Technical
University of Munich, Lichtenbergstraße 4, 85747 Garching, Germany
| | - Georg Kastlunger
- Technical
University of Denmark, Fysikvej 311, 2800 Kongens Lyngby, Denmark
| | - Karsten Reuter
- Fritz-Haber-Institut
der Max-Planck-Gesellschaft, Faradayweg 4-6, 14195 Berlin, Germany
| | - Nicolas G. Hörmann
- Fritz-Haber-Institut
der Max-Planck-Gesellschaft, Faradayweg 4-6, 14195 Berlin, Germany
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5
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Liu S, Mukadam Z, Scott SB, Sarma SC, Titirici MM, Chan K, Govindarajan N, Stephens IEL, Kastlunger G. Unraveling the reaction mechanisms for furfural electroreduction on copper. EES CATALYSIS 2023; 1:539-551. [PMID: 37426696 PMCID: PMC10323714 DOI: 10.1039/d3ey00040k] [Citation(s) in RCA: 5] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 02/23/2023] [Accepted: 04/27/2023] [Indexed: 07/11/2023]
Abstract
Electrochemical routes for the valorization of biomass-derived feedstock molecules offer sustainable pathways to produce chemicals and fuels. However, the underlying reaction mechanisms for their electrochemical conversion remain elusive. In particular, the exact role of proton-electron coupled transfer and electrocatalytic hydrogenation in the reaction mechanisms for biomass electroreduction are disputed. In this work, we study the reaction mechanism underlying the electroreduction of furfural, an important biomass-derived platform chemical, combining grand-canonical (constant-potential) density functional theory-based microkinetic simulations and pH dependent experiments on Cu under acidic conditions. Our simulations indicate the second PCET step in the reaction pathway to be the rate- and selectivity-determining step for the production of the two main products of furfural electroreduction on Cu, i.e., furfuryl alcohol and 2-methyl furan, at moderate overpotentials. We further identify the source of Cu's ability to produce both products with comparable activity in their nearly equal activation energies. Furthermore, our microkinetic simulations suggest that surface hydrogenation steps play a minor role in determining the overall activity of furfural electroreduction compared to PCET steps due to the low steady-state hydrogen coverage predicted under reaction conditions, the high activation barriers for surface hydrogenation and the observed pH dependence of the reaction. As a theoretical guideline, low pH (<1.5) and moderate potential (ca. -0.5 V vs. SHE) conditions are suggested for selective 2-MF production.
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Affiliation(s)
- Sihang Liu
- Department of Physics, Catalysis Theory Center, Technical University of Denmark (DTU) 2800 Kgs. Lyngby Denmark
| | - Zamaan Mukadam
- Department of Materials, Royal School of Mines, Imperial College London London SW27 AZ England UK
| | - Soren B Scott
- Department of Materials, Royal School of Mines, Imperial College London London SW27 AZ England UK
| | - Saurav Ch Sarma
- Department of Chemical Engineering, Imperial College London London SW7 2AZ England UK
| | - Maria-Magdalena Titirici
- Department of Chemical Engineering, Imperial College London London SW7 2AZ England UK
- Advanced Institute for Materials Research (WPI-AIMR), Tohoku University Sendai Miyagi 980-8577 Japan
| | - Karen Chan
- Department of Physics, Catalysis Theory Center, Technical University of Denmark (DTU) 2800 Kgs. Lyngby Denmark
| | - Nitish Govindarajan
- Department of Physics, Catalysis Theory Center, Technical University of Denmark (DTU) 2800 Kgs. Lyngby Denmark
- Materials Science Division, Lawrence Livermore National Laboratory Livermore California 94550 USA
| | - Ifan E L Stephens
- Department of Materials, Royal School of Mines, Imperial College London London SW27 AZ England UK
| | - Georg Kastlunger
- Department of Physics, Catalysis Theory Center, Technical University of Denmark (DTU) 2800 Kgs. Lyngby Denmark
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6
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Domínguez-Flores F, Melander MM. Approximating constant potential DFT with canonical DFT and electrostatic corrections. J Chem Phys 2023; 158:144701. [PMID: 37061493 DOI: 10.1063/5.0138197] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/17/2023] Open
Abstract
The complexity of electrochemical interfaces has led to the development of several approximate density functional theory (DFT)-based schemes to study reaction thermodynamics and kinetics as a function of electrode potential. While fixed electrode potential conditions can be simulated with grand canonical ensemble DFT (GCE-DFT), various electrostatic corrections on canonical, constant charge DFT are often applied instead. In this work, we present a systematic derivation and analysis of the different electrostatic corrections on canonical DFT to understand their physical validity, implicit assumptions, and scope of applicability. Our work highlights the need to carefully address the suitability of a given model for the problem under study, especially if physical or chemical insight in addition to reaction energetics is sought. In particular, we analytically show that the different corrections cannot differentiate between electrostatic interactions and covalent or charge-transfer interactions. By numerically testing different models for CO2 adsorption on a single-atom catalyst as a function of the electrode potential, we further show that computed capacitances, dipole moments, and the obtained physical insight depend sensitively on the chosen approximation. These features limit the scope, generality, and physical insight of these corrective schemes despite their proven practicality for specific systems and energetics. Finally, we suggest guidelines for choosing different electrostatic corrections and propose the use of conceptual DFT to develop more general approximations for electrochemical interfaces and reactions using canonical DFT.
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Affiliation(s)
- Fabiola Domínguez-Flores
- Department of Chemistry, Nanoscience Center, University of Jyväskylä, FI-40014 Jyväskylä, Finland
| | - Marko M Melander
- Department of Chemistry, Nanoscience Center, University of Jyväskylä, FI-40014 Jyväskylä, Finland
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7
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Zhang KX, Liu ZP. Electrochemical hydrogen evolution on Pt-based catalysts from a theoretical perspective. J Chem Phys 2023; 158:141002. [PMID: 37061480 DOI: 10.1063/5.0142540] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/17/2023] Open
Abstract
Hydrogen evolution reaction (HER) by splitting water is a key technology toward a clean energy society, where Pt-based catalysts were long known to have the highest activity under acidic electrochemical conditions but suffer from high cost and poor stability. Here, we overview the current status of Pt-catalyzed HER from a theoretical perspective, focusing on the methodology development of electrochemistry simulation, catalytic mechanism, and catalyst stability. Recent developments in theoretical methods for studying electrochemistry are introduced, elaborating on how they describe solid-liquid interface reactions under electrochemical potentials. The HER mechanism, the reaction kinetics, and the reaction sites on Pt are then summarized, which provides an atomic-level picture of Pt catalyst surface dynamics under reaction conditions. Finally, state-of-the-art experimental solutions to improve catalyst stability are also introduced, which illustrates the significance of fundamental understandings in the new catalyst design.
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Affiliation(s)
- Ke-Xiang Zhang
- Collaborative Innovation Center of Chemistry for Energy Material, Shanghai Key Laboratory of Molecular Catalysis and Innovative Materials, Key Laboratory of Computational Physical Science, Department of Chemistry, Fudan University, Shanghai 200433, China
| | - Zhi-Pan Liu
- Collaborative Innovation Center of Chemistry for Energy Material, Shanghai Key Laboratory of Molecular Catalysis and Innovative Materials, Key Laboratory of Computational Physical Science, Department of Chemistry, Fudan University, Shanghai 200433, China
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8
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Kastlunger G, Heenen HH, Govindarajan N. Combining First-Principles Kinetics and Experimental Data to Establish Guidelines for Product Selectivity in Electrochemical CO 2 Reduction. ACS Catal 2023. [DOI: 10.1021/acscatal.3c00228] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/31/2023]
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9
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Fu X, Pedersen JB, Zhou Y, Saccoccio M, Li S, Sažinas R, Li K, Andersen SZ, Xu A, Deissler NH, Mygind JBV, Wei C, Kibsgaard J, Vesborg PCK, Nørskov JK, Chorkendorff I. Continuous-flow electrosynthesis of ammonia by nitrogen reduction and hydrogen oxidation. Science 2023; 379:707-712. [PMID: 36795804 DOI: 10.1126/science.adf4403] [Citation(s) in RCA: 104] [Impact Index Per Article: 52.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/18/2023]
Abstract
Ammonia is a critical component in fertilizers, pharmaceuticals, and fine chemicals and is an ideal, carbon-free fuel. Recently, lithium-mediated nitrogen reduction has proven to be a promising route for electrochemical ammonia synthesis at ambient conditions. In this work, we report a continuous-flow electrolyzer equipped with 25-square centimeter-effective area gas diffusion electrodes wherein nitrogen reduction is coupled with hydrogen oxidation. We show that the classical catalyst platinum is not stable for hydrogen oxidation in the organic electrolyte, but a platinum-gold alloy lowers the anode potential and avoids the decremental decomposition of the organic electrolyte. At optimal operating conditions, we achieve, at 1 bar, a faradaic efficiency for ammonia production of up to 61 ± 1% and an energy efficiency of 13 ± 1% at a current density of -6 milliamperes per square centimeter.
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Affiliation(s)
- Xianbiao Fu
- Department of Physics, Technical University of Denmark, Kongens Lyngby, Denmark
| | - Jakob B Pedersen
- Department of Physics, Technical University of Denmark, Kongens Lyngby, Denmark
| | - Yuanyuan Zhou
- Department of Physics, Technical University of Denmark, Kongens Lyngby, Denmark
| | - Mattia Saccoccio
- Department of Physics, Technical University of Denmark, Kongens Lyngby, Denmark
| | - Shaofeng Li
- Department of Physics, Technical University of Denmark, Kongens Lyngby, Denmark
| | - Rokas Sažinas
- Department of Physics, Technical University of Denmark, Kongens Lyngby, Denmark
| | - Katja Li
- Department of Physics, Technical University of Denmark, Kongens Lyngby, Denmark
| | - Suzanne Z Andersen
- Department of Physics, Technical University of Denmark, Kongens Lyngby, Denmark
| | - Aoni Xu
- Department of Physics, Technical University of Denmark, Kongens Lyngby, Denmark
| | - Niklas H Deissler
- Department of Physics, Technical University of Denmark, Kongens Lyngby, Denmark
| | | | - Chao Wei
- Department of Physics, Technical University of Denmark, Kongens Lyngby, Denmark
| | - Jakob Kibsgaard
- Department of Physics, Technical University of Denmark, Kongens Lyngby, Denmark
| | - Peter C K Vesborg
- Department of Physics, Technical University of Denmark, Kongens Lyngby, Denmark
| | - Jens K Nørskov
- Department of Physics, Technical University of Denmark, Kongens Lyngby, Denmark
| | - Ib Chorkendorff
- Department of Physics, Technical University of Denmark, Kongens Lyngby, Denmark
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10
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Vijay S, Kastlunger G, Gauthier JA, Patel A, Chan K. Force-Based Method to Determine the Potential Dependence in Electrochemical Barriers. J Phys Chem Lett 2022; 13:5719-5725. [PMID: 35713626 DOI: 10.1021/acs.jpclett.2c01367] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/15/2023]
Abstract
Determining ab initio potential-dependent energetics is critical to the investigation of mechanisms for electrochemical reactions. While methodology for evaluating reaction thermodynamics is established, simulation techniques for the corresponding kinetics is still a major challenge owing to a lack of potential control, finite cell size effects, or computational expense. In this work, we develop a model that allows for computing electrochemical activation energies from just a handful of density functional theory (DFT) calculations. The sole input into the model are the atom-centered forces obtained from DFT calculations performed on a homogeneous grid composed of varying field strengths. We show that the activation energies as a function of the potential obtained from our model are consistent for different supercell sizes and proton concentrations for a range of electrochemical reactions.
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Affiliation(s)
- Sudarshan Vijay
- CatTheory, Department of Physics, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark
| | - Georg Kastlunger
- CatTheory, Department of Physics, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark
| | - Joseph A Gauthier
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, 94720 Berkeley, California, United States
- Department of Chemical and Biomolecular Engineering, University of California, 94720 Berkeley, California, United States
| | - Anjli Patel
- SUNCAT Center for Interface Science and Catalysis, Department of Chemical Engineering, Stanford University, 94305 Stanford, California, United States
| | - Karen Chan
- CatTheory, Department of Physics, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark
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11
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Prats H, Chan K. The determination of the HOR/HER reaction mechanism from experimental kinetic data. Phys Chem Chem Phys 2021; 23:27150-27158. [PMID: 34852033 DOI: 10.1039/d1cp04134g] [Citation(s) in RCA: 29] [Impact Index Per Article: 7.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Hydrogen oxidation and evolution are important processes from both a fundamental and applied perspective. In interpreting experimental kinetic data, few studies have explicitly accounted for the impact of H* coverage and mass transport, which lead to discrepancies in the kinetic parameters and the resultant reaction mechanism. Here, we present how to determine the kinetic parameters accounting for both effects. We discuss the use of the kinetic parameters towards mechanistic interpretations for HOR/HER and show that, in general, knowledge of the coverage of H* or activation energies may be required to assign a reaction mechanism. We apply these ideas to activity data of several HOR and HER electrocatalysts, such as Au, Pt, MoS2, and CoP.
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Affiliation(s)
- Hector Prats
- Catalysis Theory Center, Department of Physics, Technical University of Denmark, 2800 Kogens Lyngby, Denmark. .,Department of Chemical Engineering, University College London, Roberts Building, Torrington Place, London WC1E 7JE, UK
| | - Karen Chan
- Catalysis Theory Center, Department of Physics, Technical University of Denmark, 2800 Kogens Lyngby, Denmark.
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12
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Narangoda P, Spanos I, Masa J, Schlögl R, Zeradjanin AR. Electrocatalysis Beyond 2020: How to Tune the Preexponential Frequency Factor. ChemElectroChem 2021. [DOI: 10.1002/celc.202101278] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Affiliation(s)
- Praveen Narangoda
- Max Planck Institute for Chemical Energy Conversion Stiftstrasse 34–36 45470 Mülheim an der Ruhr Germany
| | - Ioannis Spanos
- Max Planck Institute for Chemical Energy Conversion Stiftstrasse 34–36 45470 Mülheim an der Ruhr Germany
| | - Justus Masa
- Max Planck Institute for Chemical Energy Conversion Stiftstrasse 34–36 45470 Mülheim an der Ruhr Germany
| | - Robert Schlögl
- Max Planck Institute for Chemical Energy Conversion Stiftstrasse 34–36 45470 Mülheim an der Ruhr Germany
- Fritz-Haber-Institut der Max-Planck Gesellschaft Faradayweg 4–6 14195 Berlin Germany
| | - Aleksandar R. Zeradjanin
- Max Planck Institute for Chemical Energy Conversion Stiftstrasse 34–36 45470 Mülheim an der Ruhr Germany
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