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Xu C, Mazeau EJ, West RH. Implementing the Blowers-Masel Approximation to Scale Activation Energy Based on Reaction Enthalpy in Mean-Field Microkinetic Modeling for Catalytic Methane Partial Oxidation. ACS Catal 2024; 14:8013-8029. [PMID: 38779181 PMCID: PMC11106751 DOI: 10.1021/acscatal.3c05436] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/10/2023] [Revised: 02/28/2024] [Accepted: 04/02/2024] [Indexed: 05/25/2024]
Abstract
Mean-field microkinetic modeling is a powerful tool for catalyst design and the simulation of catalytic processes. The reaction enthalpies in a microkinetic model often need to be adjusted when changing species' binding energies to model different catalysts, when performing thermodynamic sensitivity analyses, and when fitting experimental data. When altering reaction enthalpies, the activation energies should also be reasonably altered to ensure realistic reaction rates. The Blowers-Masel approximation (BMA) relates the reaction barrier to the reaction enthalpy. Unlike the Brønsted-Evans-Polani relationship, the BMA requires less data because only one parameter, the intrinsic activation energy, needs to be determined. We validate this application of BMA relations to model surface reactions by comparing against density functional theory data taken from the literature. By incorporating the BMA rate description into the open-source Cantera software, we enable a new workflow, demonstrated herein, allowing rapid screening of catalysts using linear scaling relationships and BMA kinetics within the process simulation software. For demonstration purposes, a catalyst screening for catalytic methane partial oxidation on 81 hypothetical metals is conducted. We compared the results with and without BMA-corrected rates. The heat maps of various descriptors (e.g., CH4 conversion, syngas yield) show that using BMA rates instead of Arrhenius rates (with constant activation energies) changes which metals are most active. Heat maps of sensitivity analyses can help identify which reactions or species are the most influential in shaping the descriptor map patterns. Our findings indicate that while using BMA-adjusted rates did not markedly affect the most sensitive reactions, it did change the most influential species.
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Affiliation(s)
- Chao Xu
- Department of Chemical Engineering, Northeastern University, Boston, Massachusetts 02115, United States
| | | | - Richard H. West
- Department of Chemical Engineering, Northeastern University, Boston, Massachusetts 02115, United States
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2
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Kreitz B, Lott P, Studt F, Medford AJ, Deutschmann O, Goldsmith CF. Automated Generation of Microkinetics for Heterogeneously Catalyzed Reactions Considering Correlated Uncertainties. Angew Chem Int Ed Engl 2023; 62:e202306514. [PMID: 37505449 DOI: 10.1002/anie.202306514] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/09/2023] [Revised: 07/06/2023] [Accepted: 07/26/2023] [Indexed: 07/29/2023]
Abstract
The study presents an ab-initio based framework for the automated construction of microkinetic mechanisms considering correlated uncertainties in all energetic parameters and estimation routines. 2000 unique microkinetic models were generated within the uncertainty space of the BEEF-vdW functional for the oxidation reactions of representative exhaust gas emissions from stoichiometric combustion engines over Pt(111) and compared to experiments through multiscale modeling. The ensemble of simulations stresses the importance of considering uncertainties. Within this set of first-principles-based models, it is possible to identify a microkinetic mechanism that agrees with experimental data. This mechanism can be traced back to a single exchange-correlation functional, and it suggests that Pt(111) could be the active site for the oxidation of light hydrocarbons. The study provides a universal framework for the automated construction of reaction mechanisms with correlated uncertainty quantification, enabling a DFT-constrained microkinetic model optimization for other heterogeneously catalyzed systems.
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Affiliation(s)
- Bjarne Kreitz
- School of Engineering, Brown University, 184 Hope Street, Providence, RI, 02912, USA
- Institute for Chemical Technology and Polymer Chemistry, Karlsruhe Institute of Technology, Engesserstr. 20, 76128, Karlsruhe, Germany
| | - Patrick Lott
- Institute for Chemical Technology and Polymer Chemistry, Karlsruhe Institute of Technology, Engesserstr. 20, 76128, Karlsruhe, Germany
| | - Felix Studt
- Institute for Chemical Technology and Polymer Chemistry, Karlsruhe Institute of Technology, Engesserstr. 20, 76128, Karlsruhe, Germany
- Institute of Catalysis Research and Technology, Karlsruhe Institute of Technology, 76344, Eggenstein-Leopoldshafen, Germany
| | - Andrew J Medford
- School of Chemical and Biomolecular Engineering, Atlanta, GA, 30318, USA
| | - Olaf Deutschmann
- Institute for Chemical Technology and Polymer Chemistry, Karlsruhe Institute of Technology, Engesserstr. 20, 76128, Karlsruhe, Germany
| | - C Franklin Goldsmith
- School of Engineering, Brown University, 184 Hope Street, Providence, RI, 02912, USA
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3
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Kreitz B, Lott P, Bae J, Blöndal K, Angeli S, Ulissi ZW, Studt F, Goldsmith CF, Deutschmann O. Detailed Microkinetics for the Oxidation of Exhaust Gas Emissions through Automated Mechanism Generation. ACS Catal 2022. [DOI: 10.1021/acscatal.2c03378] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Bjarne Kreitz
- School of Engineering, Brown University, Providence, Rhode Island 02912, United States
- Institute for Chemical Technology and Polymer Chemistry, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
| | - Patrick Lott
- Institute for Chemical Technology and Polymer Chemistry, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
| | - Jongyoon Bae
- School of Engineering, Brown University, Providence, Rhode Island 02912, United States
| | - Katrín Blöndal
- School of Engineering, Brown University, Providence, Rhode Island 02912, United States
| | - Sofia Angeli
- Institute for Chemical Technology and Polymer Chemistry, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
| | - Zachary W. Ulissi
- Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, United States
| | - Felix Studt
- Institute for Chemical Technology and Polymer Chemistry, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
- Institute of Catalysis Research and Technology, Karlsruhe Institute of Technology, 76344 Eggenstein-Leopoldshafen, Germany
| | - C. Franklin Goldsmith
- School of Engineering, Brown University, Providence, Rhode Island 02912, United States
| | - Olaf Deutschmann
- Institute for Chemical Technology and Polymer Chemistry, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
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Kreitz B, Sargsyan K, Blöndal K, Mazeau EJ, West RH, Wehinger GD, Turek T, Goldsmith CF. Quantifying the Impact of Parametric Uncertainty on Automatic Mechanism Generation for CO 2 Hydrogenation on Ni(111). JACS AU 2021; 1:1656-1673. [PMID: 34723269 PMCID: PMC8549061 DOI: 10.1021/jacsau.1c00276] [Citation(s) in RCA: 11] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/18/2021] [Indexed: 05/30/2023]
Abstract
Automatic mechanism generation is used to determine mechanisms for the CO2 hydrogenation on Ni(111) in a two-stage process while considering the correlated uncertainty in DFT-based energetic parameters systematically. In a coarse stage, all the possible chemistry is explored with gas-phase products down to the ppb level, while a refined stage discovers the core methanation submechanism. Five thousand unique mechanisms were generated, which contain minor perturbations in all parameters. Global uncertainty assessment, global sensitivity analysis, and degree of rate control analysis are performed to study the effect of this parametric uncertainty on the microkinetic model predictions. Comparison of the model predictions with experimental data on a Ni/SiO2 catalyst find a feasible set of microkinetic mechanisms within the correlated uncertainty space that are in quantitative agreement with the measured data, without relying on explicit parameter optimization. Global uncertainty and sensitivity analyses provide tools to determine the pathways and key factors that control the methanation activity within the parameter space. Together, these methods reveal that the degree of rate control approach can be misleading if parametric uncertainty is not considered. The procedure of considering uncertainties in the automated mechanism generation is not unique to CO2 methanation and can be easily extended to other challenging heterogeneously catalyzed reactions.
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Affiliation(s)
- Bjarne Kreitz
- Institute
of Chemical and Electrochemical Process Engineering, Clausthal University of Technology, Clausthal-Zellerfeld 38678, Germany
- School
of Engineering, Brown University, Providence, Rhode Island 02912, United States
| | - Khachik Sargsyan
- Sandia
National Laboratories, Livermore, California 94550, United States
| | - Katrín Blöndal
- School
of Engineering, Brown University, Providence, Rhode Island 02912, United States
| | - Emily J. Mazeau
- Department
of Chemical Engineering, Northeastern University, Boston, Massachusetts 02115, United States
| | - Richard H. West
- Department
of Chemical Engineering, Northeastern University, Boston, Massachusetts 02115, United States
| | - Gregor D. Wehinger
- Institute
of Chemical and Electrochemical Process Engineering, Clausthal University of Technology, Clausthal-Zellerfeld 38678, Germany
| | - Thomas Turek
- Institute
of Chemical and Electrochemical Process Engineering, Clausthal University of Technology, Clausthal-Zellerfeld 38678, Germany
| | - C. Franklin Goldsmith
- School
of Engineering, Brown University, Providence, Rhode Island 02912, United States
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Mazeau EJ, Satpute P, Blöndal K, Goldsmith CF, West RH. Automated Mechanism Generation Using Linear Scaling Relationships and Sensitivity Analyses Applied to Catalytic Partial Oxidation of Methane. ACS Catal 2021. [DOI: 10.1021/acscatal.0c04100] [Citation(s) in RCA: 13] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/10/2023]
Affiliation(s)
- Emily J. Mazeau
- Department of Chemical Engineering, Northeastern University, Boston, Massachusetts 02115, United States
| | - Priyanka Satpute
- Department of Chemical Engineering, Northeastern University, Boston, Massachusetts 02115, United States
| | - Katrín Blöndal
- School of Engineering, Brown University, Providence, Rhode Island 02912, United States
| | - C. Franklin Goldsmith
- School of Engineering, Brown University, Providence, Rhode Island 02912, United States
| | - Richard H. West
- Department of Chemical Engineering, Northeastern University, Boston, Massachusetts 02115, United States
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Jiang L, Liu K, Hung SF, Zhou L, Qin R, Zhang Q, Liu P, Gu L, Chen HM, Fu G, Zheng N. Facet engineering accelerates spillover hydrogenation on highly diluted metal nanocatalysts. NATURE NANOTECHNOLOGY 2020; 15:848-853. [PMID: 32747741 DOI: 10.1038/s41565-020-0746-x] [Citation(s) in RCA: 107] [Impact Index Per Article: 26.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/06/2020] [Accepted: 06/24/2020] [Indexed: 05/21/2023]
Abstract
Hydrogen spillover is a well-known phenomenon in heterogeneous catalysis; it involves H2 cleavage on an active metal followed by the migration of dissociated H species over an 'inert' support1-5. Although catalytic hydrogenation using the spilled H species, namely, spillover hydrogenation, has long been proposed, very limited knowledge has been obtained about what kind of support structure is required to achieve spillover hydrogenation1,5. By dispersing Pd atoms onto Cu nanomaterials with different exposed facets, Cu(111) and Cu(100), we demonstrate in this work that while the hydrogen spillover from Pd to Cu is facet independent, the spillover hydrogenation only occurs on Pd1/Cu(100), where the hydrogen atoms spilled from Pd are readily utilized for the semi-hydrogenation of alkynes. This work thus helps to create an effective method for fabricating cost-effective nanocatalysts with an extremely low Pd loading, at the level of 50 ppm, toward the semi-hydrogenation of a broad range of alkynes with extremely high activity and selectivity.
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Affiliation(s)
- Lizhi Jiang
- State Key Laboratory for Physical Chemistry of Solid Surfaces, Collaborative Innovation Center of Chemistry for Energy Materials, National & Local Joint Engineering Research Center for Preparation Technology of Nanomaterials and National Engineering Laboratory for Green Chemical Productions of Alcohols-Ethers-Esters, College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, China
| | - Kunlong Liu
- State Key Laboratory for Physical Chemistry of Solid Surfaces, Collaborative Innovation Center of Chemistry for Energy Materials, National & Local Joint Engineering Research Center for Preparation Technology of Nanomaterials and National Engineering Laboratory for Green Chemical Productions of Alcohols-Ethers-Esters, College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, China
| | - Sung-Fu Hung
- Department of Chemistry, Taiwan University, Taipei, Taiwan
| | - Lingyun Zhou
- State Key Laboratory for Physical Chemistry of Solid Surfaces, Collaborative Innovation Center of Chemistry for Energy Materials, National & Local Joint Engineering Research Center for Preparation Technology of Nanomaterials and National Engineering Laboratory for Green Chemical Productions of Alcohols-Ethers-Esters, College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, China
| | - Ruixuan Qin
- State Key Laboratory for Physical Chemistry of Solid Surfaces, Collaborative Innovation Center of Chemistry for Energy Materials, National & Local Joint Engineering Research Center for Preparation Technology of Nanomaterials and National Engineering Laboratory for Green Chemical Productions of Alcohols-Ethers-Esters, College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, China
| | - Qinghua Zhang
- Institute of Physics, Chinese Academy of Sciences, Beijing, China
| | - Pengxin Liu
- State Key Laboratory for Physical Chemistry of Solid Surfaces, Collaborative Innovation Center of Chemistry for Energy Materials, National & Local Joint Engineering Research Center for Preparation Technology of Nanomaterials and National Engineering Laboratory for Green Chemical Productions of Alcohols-Ethers-Esters, College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, China
| | - Lin Gu
- Institute of Physics, Chinese Academy of Sciences, Beijing, China
| | - Hao Ming Chen
- Department of Chemistry, Taiwan University, Taipei, Taiwan
| | - Gang Fu
- State Key Laboratory for Physical Chemistry of Solid Surfaces, Collaborative Innovation Center of Chemistry for Energy Materials, National & Local Joint Engineering Research Center for Preparation Technology of Nanomaterials and National Engineering Laboratory for Green Chemical Productions of Alcohols-Ethers-Esters, College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, China.
| | - Nanfeng Zheng
- State Key Laboratory for Physical Chemistry of Solid Surfaces, Collaborative Innovation Center of Chemistry for Energy Materials, National & Local Joint Engineering Research Center for Preparation Technology of Nanomaterials and National Engineering Laboratory for Green Chemical Productions of Alcohols-Ethers-Esters, College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, China.
- Innovation Laboratory for Sciences and Technologies of Energy Materials of Fujian Province (IKKEM), Xiamen, China.
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Development of a Microkinetic Model for the CO2 Methanation with an Automated Reaction Mechanism Generator. ACTA ACUST UNITED AC 2020. [DOI: 10.1016/b978-0-12-823377-1.50089-6] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Agarwal V, Metiu H. Rates of adsorption and desorption: Entropic contributions and errors due to mean-field approximations. J Chem Phys 2019; 150:184702. [PMID: 31091938 DOI: 10.1063/1.5095867] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We have performed exact classical rate calculations to compute adsorption and desorption rate constants with a model representative of a real system. We compute the desorption rate using transition-state theory by taking the dividing-surface far from the surface of the solid. We find that using a mean-field assumption, i.e., applying potential of mean force to transition state theory, could lead to two orders-of-magnitude errors in the rate constant owing to large fluctuations in the desorption barrier. Furthermore, we compute the adsorption rate by including a dynamical factor which reflects the probability of sticking to the solid surface. We find that the sticking probability is highly sensitive to the coverage. Also, we find that the adsorption rate computed from the mean-field assumption is not very different from the exact adsorption rate. We also compute entropic contribution to desorption rates and compare it to that obtained from two limiting models of adsorption-2D ideal gas and 2D ideal lattice gas. We show that at high temperatures (700 K), the entropic contribution to desorption rates computed from the exact calculations is very close to that obtained from the 2D ideal gas model. However, for lower to intermediate temperatures from 200 K to 500 K, the entropic contributions cover a wide range which lies in between the two limiting models and could lead to over two-orders-of-magnitude errors in the rate coefficient.
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Affiliation(s)
- Vishal Agarwal
- Department of Chemical Engineering, Indian Institute of Technology, Kanpur, Uttar Pradesh 208016, India
| | - Horia Metiu
- Department of Chemistry and Biochemistry, University of California, Santa Barbara, California 93106, USA
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9
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Wehinger GD, Kraume M, Berg V, Korup O, Mette K, Schlögl R, Behrens M, Horn R. Investigating dry reforming of methane with spatial reactor profiles and particle-resolved CFD simulations. AIChE J 2016. [DOI: 10.1002/aic.15520] [Citation(s) in RCA: 61] [Impact Index Per Article: 7.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
Affiliation(s)
- Gregor D. Wehinger
- Chemical and Process Engineering; Technische Universität Berlin; Fraunhoferstr. 33-36 10587 Berlin Germany
| | - Matthias Kraume
- Chemical and Process Engineering; Technische Universität Berlin; Fraunhoferstr. 33-36 10587 Berlin Germany
| | - Viktor Berg
- Institute of Chemical Reaction Engineering; Hamburg University of Technology; Eißendorfer Str. 38 21073 Hamburg Germany
| | - Oliver Korup
- Institute of Chemical Reaction Engineering; Hamburg University of Technology; Eißendorfer Str. 38 21073 Hamburg Germany
| | - Katharina Mette
- Dept. of Inorganic Chemistry; Fritz Haber Institute of the Max Planck Society; Faradayweg 4-6 14195 Berlin Germany
| | - Robert Schlögl
- Dept. of Inorganic Chemistry; Fritz Haber Institute of the Max Planck Society; Faradayweg 4-6 14195 Berlin Germany
| | - Malte Behrens
- Inorganic Chemistry, University of Duisburg-Essen; Universitätsstr. 7 45141 Essen Germany
| | - Raimund Horn
- Institute of Chemical Reaction Engineering; Hamburg University of Technology; Eißendorfer Str. 38 21073 Hamburg Germany
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10
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Karakaya C, Morejudo SH, Zhu H, Kee RJ. Catalytic Chemistry for Methane Dehydroaromatization (MDA) on a Bifunctional Mo/HZSM-5 Catalyst in a Packed Bed. Ind Eng Chem Res 2016. [DOI: 10.1021/acs.iecr.6b02701] [Citation(s) in RCA: 35] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Canan Karakaya
- Mechanical
Engineering, Colorado School of Mines, Golden, Colorado 80401, United States
| | - Selene Hernández Morejudo
- Coorstek
Membrane
Sciences, Forskningsparken, Gaustadalléen
21, NO-0349 Oslo, Norway
- Department
of Chemistry, University of Oslo, FERMiO, Gaustadalléen 21, NO-0349 Oslo, Norway
| | - Huayang Zhu
- Mechanical
Engineering, Colorado School of Mines, Golden, Colorado 80401, United States
| | - Robert J. Kee
- Mechanical
Engineering, Colorado School of Mines, Golden, Colorado 80401, United States
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11
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Peterson AA. Global Optimization of Adsorbate–Surface Structures While Preserving Molecular Identity. Top Catal 2013. [DOI: 10.1007/s11244-013-0161-8] [Citation(s) in RCA: 45] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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12
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13
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Korup O, Goldsmith CF, Weinberg G, Geske M, Kandemir T, Schlögl R, Horn R. Catalytic partial oxidation of methane on platinum investigated by spatial reactor profiles, spatially resolved spectroscopy, and microkinetic modeling. J Catal 2013. [DOI: 10.1016/j.jcat.2012.08.022] [Citation(s) in RCA: 72] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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Abstract
Adsorbed molecules are involved in many reactions on solid surface that are of great technological importance. As such, there has been tremendous effort worldwide to learn how to predict reaction rates and equilibrium constants for reactions involving adsorbed molecules. Theoretical calculation of both the rate and equilibrium constants for such reactions requires knowing the entropy and enthalpy of the adsorbed molecule. While much effort has been devoted to measuring and calculating the enthalpies of well-defined adsorbates, few measurements of the entropies of adsorbates have been reported. We present here a new way to determine the standard entropies of adsorbed molecules (S(ad)(0)) on single crystal surfaces from temperature programmed desorption data, prove its accuracy by comparison to entropies measured by equilibrium methods, and apply it to published data to extract new entropies. Most importantly, when combined with reported entropies, we find that at high coverage, they linearly track the entropy of the gas-phase molecule at the same temperature (T), such that S(ad)(0)(T) = 0.70 S(gas)(0)(T) - 3.3R (R = the gas constant), with a standard deviation of only 2R over a range of 50R. These entropies, which are ~2/3 of the gas, are huge compared to most theoretical predictions. This result can be extended to reliably predict prefactors in the Arrhenius rate constant for surface reactions involving such species, as proven here for desorption.
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Affiliation(s)
- Charles T Campbell
- Department of Chemistry, University of Washington, Seattle, Washington 98195-1700, USA.
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