Coupling covariance matrix adaptation with continuum modeling for determination of kinetic parameters associated with electrochemical CO2 reduction
نویسندگان
چکیده
•Characterization methods for CO2R catalysts that neglect mass transfer are inaccurate•CMA-ES coupled with continuum modeling rigorously parameterizes literature data•Fit parameters broadly distributed, suggesting differences in catalyst structure•Presented method is applicable to any electrochemical system affected by Electrochemical synthesis processes (e.g., the reduction of carbon dioxide [CO2R]) possess immense potential electrify manufacturing chemicals and fuels. Key rationalizing optimizing performance these systems characterization electrocatalysts. However, extraction intrinsic kinetic behavior from experimental data convoluted poor reagents. Hence, common benchmarking result misreporting behavior. To address this issue, methodology presented here employs advanced optimization strategies informed deconvolute non-kinetic effects benchmark CO2R. The developed where relevant, such as ammonia or organic electrosynthesis, making it a powerful tool development electrocatalysts synthesis. In electrocatalysis, rate reaction function applied governed Tafel equation, which depends on two parameters: slope exchange current density (i0). determine involve subjective removal due competitive surface bulk reactions, resulting unquantifiable uncertainty. overcome challenge, we couple covariance matrix adaptation model CO2 (CO2R) explicitly deconvolutes extract associated 26 datasets over Ag Sn catalysts. fitted do not converge unique set values, i0 an apparent correlation, suggest consequence variations preparation methods. This work facilitates rigorous relevant. (CO2) emitted point sources cement production, separation natural gas, iron aluminum ore smelting, fermentation sugars) using electricity renewable resources wind solar) offers means recapturing its content. Moreover, if can be taken atmosphere converted electrochemically fuels, one could envision closed cycle.1Blanco D.E. Modestino M.A. Organic Electrosynthesis Sustainable Chemical Manufacturing.J. Trends Chem. 2019; 1: 8-10Abstract Full Text PDF Scopus (43) Google Scholar,2De Luna P. Hahn C. Higgins D. Jaffer S.A. Jaramillo T.F. Sargent E.H. What Would It Take Renewably Powered Displace Petrochemical Processes?.Science. 364eaav3506Crossref PubMed (937) Scholar,3Bui J.C. Lees E.W. Pant L.M. Zenyuk I.V. Bell A.T. Weber A.Z. Continuum porous electrodes synthesis.Chem. Rev. 2022; 122: 11022-11084Crossref (13) Scholar,4Levi Vass T. Mandova H. Gouy A. Chemicals—Analysis. International Energy Agency, 2018Google Scholar order produce desired products high rates selectivity, important understand how design cells enable achievement objectives.5Goldman M. Prieto P.L. Mowbray B.A.W. Weekes D.M. Reyes Li Salvatore D.A. Smith W.A. Berlinguette C.P. 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For simulation processes, (ij) producing j most commonly represented Butler-Volmer equation (Equation 1) simpler 2), based assumption irreversible at large overpotentials. only consider cathodic direction.ij=i0,j(−exp(−αc,jFRTηj)+exp(αa,jFRTηj))(Equation ij=−i0,jexp(−αc,jFRTηj)(Equation 2) Here R ideal gas constant, F Faraday’s ηj overpotential driving force j, T absolute temperature, αc,j coefficient, i0,j density. Equation 2, there parameters, coefficient (αc,j) describes sensitivity changes (i.e., force) (i0,j), pre-factor exponential term.9Newman J. Thomas-Alyea K.E. Systems.Third Edition. John Wiley Sons, Inc., 2004Google note contains explicit concentration dependences reactants given reaction, derived Note S1. Many studies report slope, directly related defined required obtain 10-fold increase density.9Newman Scholar,10Limaye A.M. Zeng J.S. Willard A.P. Manthiram Bayesian Data Analysis Reveals No Preference Cardinal Slopes Electrocatalysis.Nat. Commun. 2021; 12703Crossref (32) ScholarTafelslope=−ln(10)RTαc,jF=−59.125[mVdec−1]αc,jforT=298K(Equation 3) multi-step kinetics, αc,j, has been used infer elementary step rate-limiting particular product.11Shinagawa Garcia-Esparza Takanabe Insight slopes microkinetic analysis aqueous electrocatalysis energy conversion.Sci. Rep. 2015; 513801Crossref (1615) Scholar,12Dunwell Luc W. Yan Y. Jiao F. Xu Understanding Surface-Mediated Reactions: beyond.ACS Catal. 2018; 8121-8129Crossref (143) Scholar,13Bockris J.O. Nagy Z. Symmetry Factor Transfer Coefficient: Source Confusion Electrode Kinetics.J. Educ. 1973; 50: 839-843Crossref (83) calculate involves least-squares regression linear portion logarithm measured vs. region polarization curve). approach manual exclusion lie mass-transport-limited regime (Figure 1, top).10Limaye (CO2R), occurs potentials predicted consumption homogeneous chemical reactions becomes greater than transport surface. Mass-transport limitations caused primarily low solubility diffusion electrolyte.14Weng L.C. Modeling gas-diffusion reduction.Phys. Phys. 20: 16973-16984Crossref Scholar,15Clark E.L. Resasco Landers Lin Chung L.T. Walton Standards Protocols Acquisition Reporting Studies Dioxide.ACS 6560-6570Crossref (192) Because regimes control onset mass-transfer arbitrarily, identifying prone human error leads number points available analysis. also notable must quantified every through time-consuming steady-state measurements. need quantification contrasts water electrolysis catalytic rapidly thousands via linear-sweep voltammetry. collected chronopotentiometry chronoamperometry generate sufficient quantification, rapid current-voltage sweeps impractical wants partial densities each product. other words, nature synthesis, multiple formed, limits Prior sought concerns provide determining parameters.10Limaye Scholar,16Agbo Danilovic N. 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Peng Ringe al.pH CO(2) towards C2 stepped copper.Nat. 1032Google well complex kinetics species activities,6Bui Scholar,21Hashiba Weng Chen Sato H.K. Yotsuhashi Xiang Effects electrolyte capacity reduction.J. 3719-3726Crossref (77) Scholar,22Yang Kas R. situ Infrared Spectroscopy Persistent Alkalinity near Surfaces during Electroreduction.J. Am. Soc. 141: 15891-15900Crossref (138) preventing capturing curvature curve higher deconvoluting contributions various reactions. work, present one-dimensional (1D), reaction-transport CO H2 catalyst, HCOO−, CO, then combination evolutionary strategy (CMA-ES), tool, αc i0) variety provides simulations intervention while accounting transfer, performed study elucidates accurately parameters. Application 18 Ag, 8 HCOO− Sn, similar setups reveals probably morphology facets roughness) propose across studies. curves obtained products. finding particularly influences assess impact observed densities, was carried out. By means, (αi,c ii,0) determined (Note S2). procedure enables assessment degree between outputs input much output parameter when changed). positively sensitive input, results output; negatively decrease output. highly LBL) availability electrolyte; however, less because solvent water, assumed proton source evolution (HER) (Figures S3–S5). We i0,CO αCO, but more interestingly, HER (i0,H2 αH2) S3). As increases, rises concomitant generation OH−, generated OH− anions thereby reducing (COER) current. were accuracy traditional (see supplemental information section effect S3) simulated Figures 2A 2B depict performing simulation, constant different values mass-transport boundary layer (BL) thickness, LBL, 2A) i0,H2(Figure 2B). plots value COER (i0,CO αc,CO), LBL changed 0.5× 1.5× base 2A), i0,H2 1× 100× easily seen, though should identical plotted curves, curve, revealing extent affects slope. recognizing gradients within BL quite severe S6), potentials, meaning same plane, activity necessitate activities plane. Therefore, necessary Intriguingly, 2C) S7) against they approaches zero. limit no losses CO2, accurate. suggests done minimally Porous electrodes, thicknesses approaching nanometer length scale, suggested reactions.3Bui Scholar,23Higgins Gas-Diffusion Electrodes Reduction: New Paradigm.ACS 4: 317-324Crossref (328) chemistry found non-trivial ways possibility overlapping BLs, along multiphase (gas, liquid, sometimes solid-electrolyte phases) occurring medium.3Bui Rotating disk24Vos R.E. Koper M.T.M. Effect Temperature Cation-Promoted Gold.ChemElectroChem. 9: 1-11Crossref (5) rotating cylinder25Jang Rüscher Winzely Morales-Guio C.G. Gastight cylinder electrode: Toward decoupling electrocatalysis.AIChE 68e17605Crossref (10) Scholar,26Richard Tom Jang Yun Christofides P.D. Quantifying Transport Reaction Electrocatalytic Processes Cylinder Reactor Integration Computational Fluid Dynamics Experiments.SSRN Electron. 440141698Google electrode aid use techniques does eliminate completely densities. will always determination addition hydrodynamics, presence thin slopes. S3 illustrate demonstrating HER, inaccurate. Importantly, competition indirect HER-generated form HCO3− CO32− BL, opposed direct consumption. Indeed, many experience CO2. instance, formate (HCOO−) forms competitively Cu,8Nitopi Pd,27Nguyen D.L.T. Nguyen T.M. Lee S.Y. Le Q.V. Varma R.S. Hwang Y.J. conversion value-added bimetallic Pd-based nanostructures: Recent progress emerging trends.Environ. 211113116Crossref (2) Sn,28Ge Gu Han Shen Al-Enizi Zhang Zheng Mesoporous tin oxide electrocatalytic Colloid Interface Sci. 531: 564-569Crossref (38) Scholar,29Liu Shi Sun Qiu Hu P.A. Black reduced SnO2 nanosheets electroreduction selectivity overpotential.Appl. 260118134Crossref (93) Scholar,30Daiyan Lovell E.C. Bedford N.M. Saputera W.H. Wu K.H. Lim Horlyck Ng Y.H. Lu Amal Modulating Defect Tin Oxides Reduction.Adv. (Weinh). 61900678PubMed Ag,31Thevenon Rosas-Hernández Fontani Herreros Agapie Peters Dramatic Suppression Molecular Films Highly Selective Reduction.ACS 11: 4530-4537Crossref (34) impacts shown Figure 2D, occurrence dramatically increases value. largest i0,HCOO− tested, corresponding roughly equal co-generation Cu8Nitopi nearly 50 mV dec−1 larger reference (93.55 dec−1). i0,CO,αHCOO−, exhibit inaccuracies quantifies goes reaction. systems, drives suite overcomes attributable Nernstian losses). Thus, taking typically overestimation (and, hence, underestimation inverse proportionality) neglecting improves, single experimentally. norm rather exception. These underscore physiochemical models unaffected transport, delineate kinetically controlled employing technique known analysis, and/or derivatives potential.32Corva Blanc Bondue C.J. Tschulik Differential Analysis: Quick Robust Tool Inspect Benchmark Charge Electrocatalysis.ACS 12: 13805-13812Crossref Scholar,33van der Heijden Park Eggebeen J.J.J. Non-Kinetic Convolute Alkaline Oxygen Evolution NiFeOOH Electrocatalysts.Angew. Int. Ed. Engl. 2023; 62e202216477Crossref (4) requires substantial collection challenging application, potential, liquid-phase products, availability. Even concern, analyses would able fully significant relevant S4). especially true minority regions identify control. mathematical model, phenomena and, correspondingly, simultaneously first established our CMA-ES capable sets values). Next, whether coefficients converged unifying values. Bockris co-workers what refer cardinal αc= 0.5, 1.0, 1.5, etc.13Bockris starting S62 assuming integer s q, ν symmetry factor
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ژورنال
عنوان ژورنال: Joule
سال: 2023
ISSN: ['2542-4351', '2542-4785']
DOI: https://doi.org/10.1016/j.joule.2023.05.007