1
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Ab initio characterization of the potential energy profiles for the multi-channel reactions: H/Cl + CH3OH. COMPUT THEOR CHEM 2022. [DOI: 10.1016/j.comptc.2022.113906] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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2
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Rangel C, Espinosa-García J, Corchado JC. Full-dimensional potential energy surface for the H + CH 3OH reaction. Theoretical kinetics and dynamics study. Phys Chem Chem Phys 2022; 24:12501-12512. [PMID: 35578997 DOI: 10.1039/d2cp00864e] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The dynamics and kinetics of the abstraction reactions of hydrogen atoms with methanol have been studied using quasi-classical trajectory calculations and variational transition state theory with tunnelling corrections, based on a new analytical potential energy surface (PES). The new PES is a valence-bond/molecular mechanics (VB/MM) expression that provides us with the potential energy for any set of Cartesian coordinates. Two reaction channels are considered: hydrogen abstraction from the methyl group (R1) and hydrogen abstraction from the alcohol group (R2), R1 being much more likely to occur in the wide temperature range under study (250-1000 K), as expected from the lower barrier height. Our dynamic calculations at a collision energy of 20 kcal mol-1 show that the H2 co-product is produced mainly in its vibrational ground-state and little rotation excitation is found. As for our kinetic results, they agree with those from previous theoretical studies as well as with those from kinetic experimental results (rate constants and kinetic isotopic effects), lending confidence to the analytical PES presented here. Thus, we expect this PES to be a simple yet powerful tool to understand such an important reaction in combustion chemistry at very high temperatures and interstellar chemistry at very low temperatures.
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Affiliation(s)
- Cipriano Rangel
- Área de Química Física, Facultad de Ciencias, and Instituto de Computación Científica Avanzada (ICCAEx). Universidad de Extremadura, Avenida de Elvas S/N, 06006 Badajoz, Spain.
| | - Joaquín Espinosa-García
- Área de Química Física, Facultad de Ciencias, and Instituto de Computación Científica Avanzada (ICCAEx). Universidad de Extremadura, Avenida de Elvas S/N, 06006 Badajoz, Spain.
| | - José C Corchado
- Área de Química Física, Facultad de Ciencias, and Instituto de Computación Científica Avanzada (ICCAEx). Universidad de Extremadura, Avenida de Elvas S/N, 06006 Badajoz, Spain.
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3
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Mode Specificity Dynamics of the Prototypical Multi-Channel H+CH 3OH Reaction on a Globally Accurate Potential Energy Surface. CHINESE J CHEM PHYS 2022. [DOI: 10.1063/1674-0068/cjcp2201018] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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4
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Lu D, Behler J, Li J. Accurate Global Potential Energy Surfaces for the H + CH3OH Reaction by Neural Network Fitting with Permutation Invariance. J Phys Chem A 2020; 124:5737-5745. [DOI: 10.1021/acs.jpca.0c04182] [Citation(s) in RCA: 30] [Impact Index Per Article: 7.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Dandan Lu
- School of Chemistry and Chemical Engineering & Chongqing Key Laboratory of Theoretical and Computational Chemistry, Chongqing University, Chongqing 401331, China
- Institut für Physikalische Chemie, Theoretische Chemie, Universität Göttingen, Tammannstrasse 6, 37077 Göttingen, Germany
| | - Jörg Behler
- Institut für Physikalische Chemie, Theoretische Chemie, Universität Göttingen, Tammannstrasse 6, 37077 Göttingen, Germany
| | - Jun Li
- School of Chemistry and Chemical Engineering & Chongqing Key Laboratory of Theoretical and Computational Chemistry, Chongqing University, Chongqing 401331, China
- Institut für Physikalische Chemie, Theoretische Chemie, Universität Göttingen, Tammannstrasse 6, 37077 Göttingen, Germany
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5
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Haupa KA, Strom AI, Anderson DT, Lee YP. Hydrogen-atom tunneling reactions with methyl formate in solid para-hydrogen: Infrared spectra of the methoxy carbonyl [•C(O)OCH3] and formyloxy methyl [HC(O)OCH2•] radicals. J Chem Phys 2019; 151:234302. [DOI: 10.1063/1.5133089] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022] Open
Affiliation(s)
- Karolina A. Haupa
- Department of Applied Chemistry and Institute of Molecular Science, National Chiao Tung University, Hsinchu 30010, Taiwan
| | - Aaron I. Strom
- Department of Chemistry, University of Wyoming, Laramie, Wyoming 82071-3838, USA
| | - David T. Anderson
- Department of Chemistry, University of Wyoming, Laramie, Wyoming 82071-3838, USA
| | - Yuan-Pern Lee
- Department of Applied Chemistry and Institute of Molecular Science, National Chiao Tung University, Hsinchu 30010, Taiwan
- Center for Emergent Functional Matter Science, National Chiao Tung University, Hsinchu 30010, Taiwan
- Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 10617, Taiwan
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6
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Cooper AM, Kästner J. Low-Temperature Kinetic Isotope Effects in CH3OH + H → CH2OH + H2 Shed Light on the Deuteration of Methanol in Space. J Phys Chem A 2019; 123:9061-9068. [DOI: 10.1021/acs.jpca.9b07013] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- April M. Cooper
- Institute for Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - Johannes Kästner
- Institute for Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
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7
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Morisset S, Rougeau N, Teillet-Billy D. Hydrogenation reactions and adsorption : From CO to methanol on a graphene surface. ACTA ACUST UNITED AC 2019. [DOI: 10.1016/j.molap.2019.02.001] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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8
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McConnell SR, Kästner J. Instanton rate constant calculations using interpolated potential energy surfaces in nonredundant, rotationally and translationally invariant coordinates. J Comput Chem 2019; 40:866-874. [PMID: 30677168 DOI: 10.1002/jcc.25770] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/06/2018] [Revised: 11/25/2018] [Accepted: 11/27/2018] [Indexed: 11/07/2022]
Abstract
A trivial flaw in the utilization of artificial neural networks in interpolating chemical potential energy surfaces (PES) whose descriptors are Cartesian coordinates is their dependence on simple translations and rotations of the molecule under consideration. A different set of descriptors can be chosen to circumvent this problem, internuclear distances, inverse internuclear distances or z-matrix coordinates are three such descriptors. The objective is to use an interpolated PES in instanton rate constant calculations, hence information on the energy, gradient, and Hessian is required at coordinates in the vicinity of the tunneling path. Instanton theory relies on smoothly fitted Hessians, therefore we use energy, gradients, and Hessians in the training procedure. A major challenge is presented in the proper back-transformation of the output gradients and Hessians from internal coordinates to Cartesian coordinates. We perform comparisons between our method, a previous approach and on-the-fly rate constant calcuations on the hydrogen abstraction from methanol and on the hydrogen addition to isocyanic acid. © 2018Wiley Periodicals, Inc.
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Affiliation(s)
- Sean R McConnell
- Institute for Theoretical Chemistry, University of Stuttgart, 70569, Stuttgart, Germany
| | - Johannes Kästner
- Institute for Theoretical Chemistry, University of Stuttgart, 70569, Stuttgart, Germany
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9
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Álvarez-Barcia S, Russ MS, Meisner J, Kästner J. Atom tunnelling in the reaction NH 3+ + H 2 → NH 4+ + H and its astrochemical relevance. Faraday Discuss 2018; 195:69-80. [PMID: 27711847 PMCID: PMC5317219 DOI: 10.1039/c6fd00096g] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The title reaction is involved in the formation of ammonia in the interstellar medium. We have calculated thermal rates including atom tunnelling using different rate theories. Canonical variational theory with microcanonically optimised multidimensional tunnelling was used for bimolecular rates, modelling the gas-phase reaction and also a surface-catalysed reaction of the Eley-Rideal type. Instanton theory provided unimolecular rates, which model the Langmuir-Hinshelwood type surface reaction. The potential energy was calculated on the CCSD(T)-F12 level of theory on the fly. We report thermal rates and H/D kinetic isotope effects. The latter have implications for observed H/D fractionation in molecular clouds. Tunnelling causes rate constants to be sufficient for the reaction to play a role in interstellar chemistry even at cryogenic temperature. We also discuss intricacies and limitations of the different tunnelling approximations to treat this reaction, including its pre-reactive minimum.
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Affiliation(s)
- Sonia Álvarez-Barcia
- Institute for Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany.
| | - Marie-Sophie Russ
- Institute for Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany.
| | - Jan Meisner
- Institute for Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany.
| | - Johannes Kästner
- Institute for Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany.
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10
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11
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Affiliation(s)
- Jan Meisner
- Institute for Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - Johannes Kästner
- Institute for Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
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12
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Cooper AM, Hallmen PP, Kästner J. Potential energy surface interpolation with neural networks for instanton rate calculations. J Chem Phys 2018. [DOI: 10.1063/1.5015950] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- April M. Cooper
- Institute for Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - Philipp P. Hallmen
- Institute for Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - Johannes Kästner
- Institute for Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
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13
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Lamberts T, Samanta PK, Köhn A, Kästner J. Quantum tunneling during interstellar surface-catalyzed formation of water: the reaction H + H 2O 2 → H 2O + OH. Phys Chem Chem Phys 2018; 18:33021-33030. [PMID: 27886292 PMCID: PMC5317215 DOI: 10.1039/c6cp06457d] [Citation(s) in RCA: 29] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The final step of the water formation network on interstellar grain surfaces starting from the H + O2 route is the reaction between H and H2O2. This reaction is known to have a high activation energy and therefore at low temperatures it can only proceed via tunneling. To date, however, no rate constants are available at temperatures below 200 K. In this work, we use instanton theory to compute rate constants for the title reaction with and without isotopic substitutions down to temperatures of 50 K. The calculations are based on density functional theory, with additional benchmarks for the activation energy using unrestricted single-reference and multireference coupled-cluster single-point energies. Gas-phase bimolecular rate constants are calculated and compared with available experimental data not only for H + H2O2 → H2O + OH, but also for H + H2O2 → H2 + HO2. We find a branching ratio where the title reaction is favored by at least two orders of magnitude at 114 K. In the interstellar medium this reaction predominantly occurs on water surfaces, which increases the probability that the two reactants meet. To mimic this, one, two, or three spectator H2O molecules are added to the system. Eley-Rideal bimolecular and Langmuir-Hinshelwood unimolecular rate constants are presented here. The kinetic isotope effects for the various cases are compared to experimental data as well as to expressions commonly used in astrochemical models. Both the rectangular barrier and the Eckart approximations lead to errors of about an order of magnitude. Finally, fits of the rate constants are provided as input for astrochemical models.
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Affiliation(s)
- Thanja Lamberts
- Institute for Theoretical Chemistry, University of Stuttgart, Stuttgart, Germany.
| | | | - Andreas Köhn
- Institute for Theoretical Chemistry, University of Stuttgart, Stuttgart, Germany.
| | - Johannes Kästner
- Institute for Theoretical Chemistry, University of Stuttgart, Stuttgart, Germany.
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14
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Karandashev K, Xu ZH, Meuwly M, Vaníček J, Richardson JO. Kinetic isotope effects and how to describe them. STRUCTURAL DYNAMICS (MELVILLE, N.Y.) 2017; 4:061501. [PMID: 29282447 PMCID: PMC5729036 DOI: 10.1063/1.4996339] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/16/2017] [Accepted: 08/23/2017] [Indexed: 06/01/2023]
Abstract
We review several methods for computing kinetic isotope effects in chemical reactions including semiclassical and quantum instanton theory. These methods describe both the quantization of vibrational modes as well as tunneling and are applied to the ⋅H + H2 and ⋅H + CH4 reactions. The absolute rate constants computed with the semiclassical instanton method both using on-the-fly electronic structure calculations and fitted potential-energy surfaces are also compared directly with exact quantum dynamics results. The error inherent in the instanton approximation is found to be relatively small and similar in magnitude to that introduced by using fitted surfaces. The kinetic isotope effect computed by the quantum instanton is even more accurate, and although it is computationally more expensive, the efficiency can be improved by path-integral acceleration techniques. We also test a simple approach for designing potential-energy surfaces for the example of proton transfer in malonaldehyde. The tunneling splittings are computed, and although they are found to deviate from experimental results, the ratio of the splitting to that of an isotopically substituted form is in much better agreement. We discuss the strengths and limitations of the potential-energy surface and based on our findings suggest ways in which it can be improved.
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Affiliation(s)
- Konstantin Karandashev
- Laboratory of Theoretical Physical Chemistry, Institut des Sciences et Ingénierie Chimiques, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
| | - Zhen-Hao Xu
- Department of Chemistry, University of Basel, Klingelbergstrasse 80, CH-4056 Basel, Switzerland
| | - Markus Meuwly
- Department of Chemistry, University of Basel, Klingelbergstrasse 80, CH-4056 Basel, Switzerland
| | - Jiří Vaníček
- Laboratory of Theoretical Physical Chemistry, Institut des Sciences et Ingénierie Chimiques, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
| | - Jeremy O Richardson
- Laboratory of Physical Chemistry, Department of Chemistry and Applied Biosciences, Eidgenössische Technische Hochschule Zürich (ETHZ), CH-8093 Zürich, Switzerland
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15
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McConnell S, Kästner J. Instanton rate constant calculations close to and above the crossover temperature. J Comput Chem 2017; 38:2570-2580. [DOI: 10.1002/jcc.24914] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/05/2017] [Revised: 07/24/2017] [Accepted: 07/25/2017] [Indexed: 01/17/2023]
Affiliation(s)
- Sean McConnell
- Institute for Theoretical Chemistry, University of Stuttgart; Pfaffenwaldring 55, Stuttgart 70569 Germany
| | - Johannes Kästner
- Institute for Theoretical Chemistry, University of Stuttgart; Pfaffenwaldring 55, Stuttgart 70569 Germany
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16
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Kumar M, Anglada JM, Francisco JS. Role of Proton Tunneling and Metal-Free Organocatalysis in the Decomposition of Methanediol: A Theoretical Study. J Phys Chem A 2017; 121:4318-4325. [DOI: 10.1021/acs.jpca.7b01864] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Manoj Kumar
- Department
of Chemistry, University of Nebraska—Lincoln, Lincoln, Nebraska 68588, United States
| | - Josep M. Anglada
- Departament
de Química Biològica i Modelització Molecular, Institute of Advanced Chemistry of Catalonia, c/Jordi Girona 18, E-08034 Barcelona, Spain
| | - Joseph S. Francisco
- Department
of Chemistry, University of Nebraska—Lincoln, Lincoln, Nebraska 68588, United States
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17
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McConnell SR, Löhle A, Kästner J. Rate constants from instanton theory via a microcanonical approach. J Chem Phys 2017; 146:074105. [DOI: 10.1063/1.4976129] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Sean R. McConnell
- Institute for Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - Andreas Löhle
- Institute for Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - Johannes Kästner
- Institute for Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
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18
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Wei ML, Tan XF, Long ZW, Long B. Atmospheric chemistry of CH3O: its unimolecular reaction and reactions with H2O, NH3, and HF. RSC Adv 2017. [DOI: 10.1039/c7ra09167b] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022] Open
Abstract
Herein, we present a definitive example where tunneling plays an important role in hydrogen atom transfer reactions.
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Affiliation(s)
- Mei-Ling Wei
- Department of Physics
- Guizhou University
- Guiyang
- China
| | - Xing-Feng Tan
- College of Material Science and Engineering
- GuizhouMinzu University
- Guiyang
- China
| | | | - Bo Long
- Department of Physics
- Guizhou University
- Guiyang
- China
- College of Material Science and Engineering
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19
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Meisner J, Markmeyer MN, Bohner MU, Kästner J. Comparison of classical reaction paths and tunneling paths studied with the semiclassical instanton theory. Phys Chem Chem Phys 2017; 19:23085-23094. [DOI: 10.1039/c7cp03722h] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Comparison of classical reaction paths and semiclassical instanton paths for a proton transfer reaction mechanism.
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Affiliation(s)
- Jan Meisner
- Institute for Theoretical Chemistry
- University of Stuttgart
- Pfaffenwaldring 55
- Stuttgart
- Germany
| | - Max N. Markmeyer
- Institute for Theoretical Chemistry
- University of Stuttgart
- Pfaffenwaldring 55
- Stuttgart
- Germany
| | - Matthias U. Bohner
- Institute for Theoretical Chemistry
- University of Stuttgart
- Pfaffenwaldring 55
- Stuttgart
- Germany
| | - Johannes Kästner
- Institute for Theoretical Chemistry
- University of Stuttgart
- Pfaffenwaldring 55
- Stuttgart
- Germany
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20
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Beyer AN, Richardson JO, Knowles PJ, Rommel J, Althorpe SC. Quantum Tunneling Rates of Gas-Phase Reactions from On-the-Fly Instanton Calculations. J Phys Chem Lett 2016; 7:4374-4379. [PMID: 27775889 DOI: 10.1021/acs.jpclett.6b02115] [Citation(s) in RCA: 35] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
The instanton method obtains approximate tunneling rates from the minimum-action path (known as the instanton) linking reactants to the products at a given temperature. An efficient way to find the instanton is to search for saddle-points on the ring-polymer potential surface, which is obtained by expressing the quantum Boltzmann operator as a discrete path-integral. Here we report a practical implementation of this ring-polymer form of instanton theory into the Molpro electronic-structure package, which allows the rates to be computed on-the-fly, without the need for a fitted analytic potential-energy surface. As a test case, we compute tunneling rates for the benchmark H + CH4 reaction, showing how the efficiency of the instanton method allows the user systematically to converge the tunneling rate with respect to the level of electronic-structure theory.
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Affiliation(s)
- Adrian N Beyer
- Department of Chemistry, University of Cambridge , Lensfield Road, Cambridge, CB2 1EW, United Kingdom
| | - Jeremy O Richardson
- Department of Chemistry, University of Cambridge , Lensfield Road, Cambridge, CB2 1EW, United Kingdom
- Department of Chemistry, Durham University , South Road, Durham, DH1 3LE, United Kingdom
| | - Peter J Knowles
- School of Chemistry, Cardiff University , Main Building, Park Place, Cardiff, CF10 3AT, United Kingdom
| | - Judith Rommel
- Department of Chemistry, University of Cambridge , Lensfield Road, Cambridge, CB2 1EW, United Kingdom
| | - Stuart C Althorpe
- Department of Chemistry, University of Cambridge , Lensfield Road, Cambridge, CB2 1EW, United Kingdom
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21
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Song L, Kästner J. Formation of the prebiotic molecule NH 2CHO on astronomical amorphous solid water surfaces: accurate tunneling rate calculations. Phys Chem Chem Phys 2016; 18:29278-29285. [PMID: 27731439 PMCID: PMC5317214 DOI: 10.1039/c6cp05727f] [Citation(s) in RCA: 28] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/18/2016] [Accepted: 10/03/2016] [Indexed: 11/21/2022]
Abstract
Investigating how formamide forms in the interstellar medium is a hot topic in astrochemistry, which can contribute to our understanding of the origin of life on Earth. We have constructed a QM/MM model to simulate the hydrogenation of isocyanic acid on amorphous solid water surfaces to form formamide. The binding energy of HNCO on the ASW surface varies significantly between different binding sites, we found values between ∼0 and 100 kJ mol-1. The barrier for the hydrogenation reaction is almost independent of the binding energy, though. We calculated tunneling rate constants of H + HNCO → NH2CO at temperatures down to 103 K combining QM/MM with instanton theory. Tunneling dominates the reaction at such low temperatures. The tunneling reaction is hardly accelerated by the amorphous solid water surface compared to the gas phase for this system, even though the activation energy of the surface reaction is lower than the one of the gas-phase reaction. Both the height and width of the barrier affect the tunneling rate in practice. Strong kinetic isotope effects were observed by comparing to rate constants of D + HNCO → NHDCO. At 103 K we found a KIE of 231 on the surface and 146 in the gas phase. Furthermore, we investigated the gas-phase reaction NH2 + H2CO → NH2CHO + H and found it unlikely to occur at cryogenic temperatures. The data of our tunneling rate constants are expected to significantly influence astrochemical models.
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Affiliation(s)
- Lei Song
- Institute for Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany.
| | - Johannes Kästner
- Institute for Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany.
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22
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Meisner J, Kästner J. Reaction rates and kinetic isotope effects of H2 + OH → H2O + H. J Chem Phys 2016; 144:174303. [DOI: 10.1063/1.4948319] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Jan Meisner
- Institute for Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - Johannes Kästner
- Institute for Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
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23
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Richardson JO. Derivation of instanton rate theory from first principles. J Chem Phys 2016; 144:114106. [DOI: 10.1063/1.4943866] [Citation(s) in RCA: 67] [Impact Index Per Article: 8.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Jeremy O. Richardson
- Department of Chemistry, Durham University, South Road, Durham DH1 3LE, United Kingdom and Institut für Theoretische Physik und Interdisziplinäres Zentrum für Molekulare Materialien, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Staudtstr. 7, 91058 Erlangen, Germany
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24
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Meisner J, Kästner J. Atom Tunneling in Chemistry. Angew Chem Int Ed Engl 2016; 55:5400-13. [DOI: 10.1002/anie.201511028] [Citation(s) in RCA: 140] [Impact Index Per Article: 17.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/27/2015] [Revised: 01/08/2016] [Indexed: 01/01/2023]
Affiliation(s)
- Jan Meisner
- Institut für Theoretische Chemie Universität Stuttgart Pfaffenwaldring 55 70569 Stuttgart Germany
| | - Johannes Kästner
- Institut für Theoretische Chemie Universität Stuttgart Pfaffenwaldring 55 70569 Stuttgart Germany
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25
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Affiliation(s)
- Jan Meisner
- Institut für Theoretische Chemie Universität Stuttgart Pfaffenwaldring 55 70569 Stuttgart Deutschland
| | - Johannes Kästner
- Institut für Theoretische Chemie Universität Stuttgart Pfaffenwaldring 55 70569 Stuttgart Deutschland
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26
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Richardson JO. Microcanonical and thermal instanton rate theory for chemical reactions at all temperatures. Faraday Discuss 2016; 195:49-67. [DOI: 10.1039/c6fd00119j] [Citation(s) in RCA: 31] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Semiclassical instanton theory is used to study the quantum effects of tunnelling and delocalization in molecular systems. An analysis of the approximations involved in the method is presented based on a recent first-principles derivation of instanton rate theory [J. Chem. Phys., 2016,144, 114106]. It is known that the standard instanton method is unable to accurately compute thermal rates near the crossover temperature. The causes of this problem are identified and an improved method is proposed, whereby an instanton approximation to the microcanonical rate is defined and integrated numerically to obtain a thermal rate at any temperature. No new computational algorithms are required, but only data analysis of a number of standard instanton calculations.
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Affiliation(s)
- Jeremy O. Richardson
- Department of Chemistry
- Durham University
- Durham
- UK
- Laboratory of Physical Chemistry
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27
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Richardson JO. Ring-polymer instanton theory of electron transfer in the nonadiabatic limit. J Chem Phys 2015; 143:134116. [DOI: 10.1063/1.4932362] [Citation(s) in RCA: 34] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Jeremy O. Richardson
- Institut für Theoretische Physik und Interdisziplinäres Zentrum für Molekulare Materialien, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Staudtstraße 7/B2, 91058 Erlangen, Germany
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28
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Richardson JO, Bauer R, Thoss M. Semiclassical Green’s functions and an instanton formulation of electron-transfer rates in the nonadiabatic limit. J Chem Phys 2015; 143:134115. [DOI: 10.1063/1.4932361] [Citation(s) in RCA: 31] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Jeremy O. Richardson
- Institut für Theoretische Physik und Interdisziplinäres Zentrum für Molekulare Materialien, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Staudtstraße 7/B2, 91058 Erlangen, Germany
| | - Rainer Bauer
- Institut für Theoretische Physik und Interdisziplinäres Zentrum für Molekulare Materialien, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Staudtstraße 7/B2, 91058 Erlangen, Germany
| | - Michael Thoss
- Institut für Theoretische Physik und Interdisziplinäres Zentrum für Molekulare Materialien, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Staudtstraße 7/B2, 91058 Erlangen, Germany
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29
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Bromley ST, Goumans TPM, Herbst E, Jones AP, Slater B. Challenges in modelling the reaction chemistry of interstellar dust. Phys Chem Chem Phys 2014; 16:18623-43. [DOI: 10.1039/c4cp00774c] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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30
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Yamamoto K, Takatsuka K. Electronic quantum effects mapped onto non-Born-Oppenheimer nuclear paths: Nonclassical surmounting over potential barriers and trapping above the transition states due to nonadiabatic path-branching. J Chem Phys 2014; 140:124111. [DOI: 10.1063/1.4869191] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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31
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Oueslati I, Kerkeni B, Spielfiedel A, Tchang-Brillet WÜL, Feautrier N. Ab Initio Investigation of the Abstraction Reactions by H and D from Tetramethylsilane and Its Deuterated Substitutions. J Phys Chem A 2014; 118:791-802. [DOI: 10.1021/jp407310c] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- I. Oueslati
- Faculté
des Sciences de Tunis, Département de Physique,
(LPMC), Université de Tunis El Manar, 2092 Tunis, Tunisia
- LERMA,
UMR8112-CNRS, Observatoire de Paris, Université Pierre et Marie Curie, 5 place Jules Janssen, 92195 Meudon Cedex, France
| | - B. Kerkeni
- Faculté
des Sciences de Tunis, Département de Physique,
(LPMC), Université de Tunis El Manar, 2092 Tunis, Tunisia
- Institut Supérieur
des Arts Multimédia de la Manouba, Université de la Manouba, 2010 la Manouba, Tunisia
| | - A. Spielfiedel
- LERMA,
UMR8112-CNRS, Observatoire de Paris, Université Pierre et Marie Curie, 5 place Jules Janssen, 92195 Meudon Cedex, France
| | - W.-Ü L. Tchang-Brillet
- LERMA,
UMR8112-CNRS, Observatoire de Paris, Université Pierre et Marie Curie, 5 place Jules Janssen, 92195 Meudon Cedex, France
| | - N. Feautrier
- LERMA,
UMR8112-CNRS, Observatoire de Paris, Université Pierre et Marie Curie, 5 place Jules Janssen, 92195 Meudon Cedex, France
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32
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Hama T, Watanabe N. Surface Processes on Interstellar Amorphous Solid Water: Adsorption, Diffusion, Tunneling Reactions, and Nuclear-Spin Conversion. Chem Rev 2013; 113:8783-839. [DOI: 10.1021/cr4000978] [Citation(s) in RCA: 211] [Impact Index Per Article: 19.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Tetsuya Hama
- Institute of Low Temperature
Science, Hokkaido University, N19W8 Kita-ku, Sapporo, Hokkaido 060-0819, Japan
| | - Naoki Watanabe
- Institute of Low Temperature
Science, Hokkaido University, N19W8 Kita-ku, Sapporo, Hokkaido 060-0819, Japan
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33
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Kästner J. Theory and simulation of atom tunneling in chemical reactions. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2013. [DOI: 10.1002/wcms.1165] [Citation(s) in RCA: 58] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Affiliation(s)
- Johannes Kästner
- Institute of Theoretical ChemistryUniversity of StuttgartStuttgartGermany
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34
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Kästner J. Path Length Determines the Tunneling Decay of Substituted Carbenes. Chemistry 2013; 19:8207-12. [DOI: 10.1002/chem.201203651] [Citation(s) in RCA: 34] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/12/2012] [Revised: 02/02/2013] [Indexed: 11/08/2022]
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35
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Rommel JB, Liu Y, Werner HJ, Kästner J. Role of tunneling in the enzyme glutamate mutase. J Phys Chem B 2012; 116:13682-9. [PMID: 23127187 DOI: 10.1021/jp308526t] [Citation(s) in RCA: 49] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022]
Abstract
The role of quantum mechanical atom tunneling during the conversion of glutamate to methylaspartate catalyzed by glutamate mutase is investigated by quantum mechanical/molecular mechanical (QM/MM) simulations based on coupled cluster and density functional calculations. The use of instanton theory allows us to calculate the tunneling contributions of up to 78 atoms in the active site. We calculate kinetic isotope effects (KIEs) and compare them to experimental data. The simulations lead to deuterium KIEs of 10 for the hydrogen abstraction from glutamate substrate and 16 for the hydrogen abstraction from methylaspartate substrate, which are consistent with the experimental results. The hydrogen abstraction from methylaspartate has higher primary deuterium and tritium (46.1) KIEs than the abstraction from glutamate. The tunneling effect increases the reaction rate by a factor of 12.3 for the hydrogen abstraction from methylaspartate at 0. Tunneling is supported by the environment by preparing the enzyme through classical motions. Consideraton of the tunneling contributions of more and more atoms around the active center shows that the motions at the ribose ring play a central role during the tunneling enhancement of the hydrogen transfers. Our simulations give new insight into the catalytic process in glutamate mutase and the way enzymes use tunneling effects for a successful catalysis.
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Affiliation(s)
- Judith B Rommel
- Institute of Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, D-70569 Stuttgart, Germany
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36
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Jose D, Datta A. Tunneling Governs Intramolecular Proton Transfer in Thiotropolone at Room Temperature. Angew Chem Int Ed Engl 2012. [DOI: 10.1002/ange.201203355] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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37
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Jose D, Datta A. Tunneling Governs Intramolecular Proton Transfer in Thiotropolone at Room Temperature. Angew Chem Int Ed Engl 2012; 51:9389-92. [DOI: 10.1002/anie.201203355] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/02/2012] [Revised: 07/26/2012] [Indexed: 11/11/2022]
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38
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Ryazanov M, Rodrigo C, Reisler H. Overtone-induced dissociation and isomerization dynamics of the hydroxymethyl radical (CH2OH and CD2OH). II. Velocity map imaging studies. J Chem Phys 2012; 136:084305. [DOI: 10.1063/1.3685899] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/27/2022] Open
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39
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Wang T, Bowie JH. Hydrogen tunnelling influences the isomerisation of some small radicals of interstellar importance. A theoretical investigation. Org Biomol Chem 2012; 10:3219-28. [DOI: 10.1039/c2ob07102a] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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