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Yuen CH, Lapierre D, Gatti F, Kokoouline V, Tyuterev VG. The Role of Ozone Vibrational Resonances in the Isotope Exchange Reaction 16O 16O + 18O → 18O 16O + 16O: The Time-Dependent Picture. J Phys Chem A 2019; 123:7733-7743. [PMID: 31408343 DOI: 10.1021/acs.jpca.9b06139] [Citation(s) in RCA: 25] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We consider the time-dependent dynamics of the isotope exchange reaction in collisions between an oxygen molecule and an oxygen atom: 16O16O + 18O → 16O18O + 16O. A theoretical approach using the multiconfiguration time-dependent Hartree method was employed to model the time evolution of the reaction. Two potential surfaces available in the literature were used in the calculations, and the results obtained with the two surfaces are compared with each other as well as with results of a previous theoretical time-independent approach. A good agreement for the reaction probabilities with the previous theoretical results is found. Comparing the results obtained using two potential energy surfaces allows us to understand the role of the reef/shoulder-like feature in the minimum energy path of the reaction in the isotope exchange process. Also, it was found that the distribution of final products of the reaction is highly anisotropic, which agrees with experimental observations and, at the same time, suggests that the family of approximated statistical approaches, assuming a randomized distribution over final exit channels, is not applicable to this case.
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Affiliation(s)
- Chi Hong Yuen
- Department of Physics , University of Central Florida , Orlando , Florida 32816 , United States
| | - David Lapierre
- Groupe de Spectrométrie Moléculaire et Atmosphérique, UMR CNRS 7331, UFR Sciences , BP 1039, 51687 Reims Cedex 2 , France
| | - Fabien Gatti
- Institut de Sciences Moléculaires d'Orsay, UMR-CNRS 8214, Université Paris-Sud, Université Paris-Saclay , 91405 Orsay , France
| | - Viatcheslav Kokoouline
- Department of Physics , University of Central Florida , Orlando , Florida 32816 , United States
| | - Vladimir G Tyuterev
- Groupe de Spectrométrie Moléculaire et Atmosphérique, UMR CNRS 7331, UFR Sciences , BP 1039, 51687 Reims Cedex 2 , France.,QUAMER Laboratory , Tomsk State University , 634000 Tomsk , Russia
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2
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Privat E, Guillon G, Honvault P. Dependence on collision energy of the stereodynamical properties of the 18O + 32O 2 exchange reaction. Mol Phys 2018. [DOI: 10.1080/00268976.2018.1438676] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Affiliation(s)
- E. Privat
- Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR, CNRS-Université de Bourgogne-Franche-Comté, Dijon, France
| | - G. Guillon
- Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR, CNRS-Université de Bourgogne-Franche-Comté, Dijon, France
| | - P. Honvault
- Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR, CNRS-Université de Bourgogne-Franche-Comté, Dijon, France
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3
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Guillon G, Honvault P, Kochanov R, Tyuterev V. First-Principles Computed Rate Constant for the O + O 2 Isotopic Exchange Reaction Now Matches Experiment. J Phys Chem Lett 2018; 9:1931-1936. [PMID: 29595990 DOI: 10.1021/acs.jpclett.8b00661] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
We show, by performing exact time-independent quantum molecular scattering calculations, that the quality of the ground electronic state global potential energy surface appears to be of utmost importance in accurately obtaining even as strongly averaged quantities as kinetic rate constants. The oxygen isotope exchange reaction, 18O + 32O2, motivated by the understanding of a complex long-standing problem of isotopic ozone anomalies in the stratosphere and laboratory experiments, is explored in this context. The thermal rate constant for this key reaction is now in quantitative agreement with all experimental data available to date. A significant recent progress at the frontier of three research domains, advanced electronic structure calculations, ultrasensitive spectroscopy, and quantum scattering calculations, has therefore permitted a breakthrough in the theoretical modeling of this crucial collision process from first principles.
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Affiliation(s)
- Grégoire Guillon
- Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR 6303, CNRS-Université de Bourgogne-Franche-Comté, 21078 Dijon Cedex , France
| | - Pascal Honvault
- Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR 6303, CNRS-Université de Bourgogne-Franche-Comté, 21078 Dijon Cedex , France
| | - Roman Kochanov
- Laboratory of Quantum Mechanics and Radiative Processes , Tomsk State University , Tomsk , Russia
- Harvard-Smithsonian Center for Astrophysics , Atomic and Molecular Physics Division , Cambridge , Massachusetts 02138 , United States
| | - Vladimir Tyuterev
- Groupe de Spectrométrie Moléculaire et Atmosphérique UMR CNRS 7331, UFR Sciences BP 1039, 51687 Reims Cedex 2 , France
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4
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Privat E, Guillon G, Honvault P. Quantum stereodynamics of the 18O+16O16O→16O18O+16O exchange reaction at low collision energy. Chem Phys Lett 2017. [DOI: 10.1016/j.cplett.2017.08.004] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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Rao TR, Guillon G, Mahapatra S, Honvault P. Differential Cross Sections and Product Rovibrational Distributions for 16O + 32O2 and 18O + 36O2 Collisions. J Phys Chem A 2015; 119:11432-9. [DOI: 10.1021/acs.jpca.5b08638] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
| | - Grégoire Guillon
- Laboratoire ICB,
UMR 6303, CNRS-Université de Bourgogne Franche-Comté, 21078 Dijon cedex, France
| | - Susanta Mahapatra
- School of Chemistry, University of Hyderabad, Hyderabad 500 046, India
| | - Pascal Honvault
- Laboratoire ICB,
UMR 6303, CNRS-Université de Bourgogne Franche-Comté, 21078 Dijon cedex, France
- UFR Sciences et Techniques, Université de Franche-Comté, 25030 Besançon Cedex, France
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Sun Z, Yu D, Xie W, Hou J, Dawes R, Guo H. Kinetic isotope effect of the 16O + 36O2 and 18O + 32O2 isotope exchange reactions: Dominant role of reactive resonances revealed by an accurate time-dependent quantum wavepacket study. J Chem Phys 2015; 142:174312. [DOI: 10.1063/1.4919861] [Citation(s) in RCA: 58] [Impact Index Per Article: 6.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Zhigang Sun
- State Key Laboratory of Molecular Reaction Dynamics and Center for Theoretical and Computational Chemistry, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China and Center for Advanced Chemical Physics and 2011 Frontier Center for Quantum Science and Technology, University of Science and Technology of China, 96 Jinzhai Road, Hefei 230026, China
| | - Dequan Yu
- State Key Laboratory of Molecular Reaction Dynamics and Center for Theoretical and Computational Chemistry, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China and Center for Advanced Chemical Physics and 2011 Frontier Center for Quantum Science and Technology, University of Science and Technology of China, 96 Jinzhai Road, Hefei 230026, China
| | - Wenbo Xie
- State Key Laboratory of Molecular Reaction Dynamics and Center for Theoretical and Computational Chemistry, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China and Center for Advanced Chemical Physics and 2011 Frontier Center for Quantum Science and Technology, University of Science and Technology of China, 96 Jinzhai Road, Hefei 230026, China
| | - Jiayi Hou
- State Key Laboratory of Molecular Reaction Dynamics and Center for Theoretical and Computational Chemistry, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China and Center for Advanced Chemical Physics and 2011 Frontier Center for Quantum Science and Technology, University of Science and Technology of China, 96 Jinzhai Road, Hefei 230026, China
| | - Richard Dawes
- Department of Chemistry, Missouri University of Science and Technology, Rolla, Missouri 65409, USA
| | - Hua Guo
- Department of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, New Mexico 87131, USA
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Rajagopala Rao T, Guillon G, Mahapatra S, Honvault P. Quantum dynamics of 16O + 36O2 and 18O + 32O2 exchange reactions. J Chem Phys 2015; 142:174311. [DOI: 10.1063/1.4919860] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- T. Rajagopala Rao
- School of Chemistry, University of Hyderabad, Hyderabad 500 046, India
| | - G. Guillon
- Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR 6303, CNRS-Université de Bourgogne, 21078 Dijon Cedex, France
| | - S. Mahapatra
- School of Chemistry, University of Hyderabad, Hyderabad 500 046, India
| | - P. Honvault
- Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR 6303, CNRS-Université de Bourgogne, 21078 Dijon Cedex, France
- UFR Sciences et Techniques, Université de Franche-Comté, 25030 Besançon Cedex, France
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Rao TR, Guillon G, Mahapatra S, Honvault P. Huge Quantum Symmetry Effect in the O + O2 Exchange Reaction. J Phys Chem Lett 2015; 6:633-636. [PMID: 26262478 DOI: 10.1021/jz5026257] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
We report extensive, full quantum-mechanical calculations for the (16)O + (16)O(16)O → (16)O(16)O + (16)O collisions, for both inelastic and atom exchange processes, using a time-independent method based on hyperspherical coordinates. The rates obtained in the present study are much larger than the previously reported ones for this system. The discrepancy is attributed to a huge symmetry effect that was missing in the studies so far. This effect differs from the well-known isotope effect. Importance of this quantum effect is further confirmed by comparison with results for the (16)O + (18)O(18)O → (16)O(18)O + (18)O, exchange reaction.
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Affiliation(s)
- Tammineni Rajagopala Rao
- †Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR CNRS 6303, Université de Bourgogne, 21078 Dijon Cedex, France
| | - Grégoire Guillon
- †Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR CNRS 6303, Université de Bourgogne, 21078 Dijon Cedex, France
| | - Susanta Mahapatra
- ‡School of Chemistry, University of Hyderabad, Hyderabad 500046, India
| | - Pascal Honvault
- †Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR CNRS 6303, Université de Bourgogne, 21078 Dijon Cedex, France
- §UFR Sciences et Techniques, Université de Franche-Comté, 25030 Besançon Cedex, France
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Xie W, Liu L, Sun Z, Guo H, Dawes R. State-to-state reaction dynamics of 18O+32O2 studied by a time-dependent quantum wavepacket method. J Chem Phys 2015; 142:064308. [DOI: 10.1063/1.4907229] [Citation(s) in RCA: 38] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Wenbo Xie
- State Key Laboratory of Molecular Reaction Dynamics and Center for Theoretical & Computational Chemistry, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, People’s Republic of China
| | - Lan Liu
- State Key Laboratory of Molecular Reaction Dynamics and Center for Theoretical & Computational Chemistry, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, People’s Republic of China
| | - Zhigang Sun
- State Key Laboratory of Molecular Reaction Dynamics and Center for Theoretical & Computational Chemistry, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, People’s Republic of China
| | - Hua Guo
- Department of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, New Mexico 87131, USA
| | - Richard Dawes
- Department of Chemistry, Missouri University of Science and Technology, Rolla, Missouri 65409, USA
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Li Y, Sun Z, Jiang B, Xie D, Dawes R, Guo H. Communication: Rigorous quantum dynamics of O + O2 exchange reactions on an ab initio potential energy surface substantiate the negative temperature dependence of rate coefficients. J Chem Phys 2014; 141:081102. [DOI: 10.1063/1.4894069] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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11
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Van Wyngarden AL, Mar KA, Quach J, Nguyen APQ, Wiegel AA, Lin SY, Lendvay G, Guo H, Lin JJ, Lee YT, Boering KA. The non-statistical dynamics of the 18O + 32O2 isotope exchange reaction at two energies. J Chem Phys 2014; 141:064311. [DOI: 10.1063/1.4892346] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
| | - Kathleen A. Mar
- Department of Chemistry, University of California, Berkeley, California 94720, USA
| | - Jim Quach
- Department of Mathematics, San José State University, San Jose, California 95192, USA
| | - Anh P. Q. Nguyen
- Department of Mathematics, San José State University, San Jose, California 95192, USA
| | - Aaron A. Wiegel
- Department of Chemistry, University of California, Berkeley, California 94720, USA
| | - Shi-Ying Lin
- Department of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, New Mexico 87131, USA
- School of Physics, Shandong University, Jinan 250100, China
| | - Gyorgy Lendvay
- Institute for Materials and Environmental Chemistry, Research Centre for Natural Sciences, Hungarian Academy of Sciences, P.O.B. 286, Budapest H-1519, Hungary
| | - Hua Guo
- Department of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, New Mexico 87131, USA
| | - Jim J. Lin
- Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 10617, Taiwan
- Department of Chemistry, National Taiwan University, Taipei 10617, Taiwan
| | - Yuan T. Lee
- Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 10617, Taiwan
- Department of Chemistry, National Taiwan University, Taipei 10617, Taiwan
| | - Kristie A. Boering
- Department of Chemistry, University of California, Berkeley, California 94720, USA
- Department of Earth and Planetary Science, University of California, Berkeley, California 94720, USA
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12
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Dawes R, Lolur P, Li A, Jiang B, Guo H. Communication: An accurate global potential energy surface for the ground electronic state of ozone. J Chem Phys 2013; 139:201103. [DOI: 10.1063/1.4837175] [Citation(s) in RCA: 93] [Impact Index Per Article: 8.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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14
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Dawes R, Lolur P, Ma J, Guo H. Communication: Highly accurate ozone formation potential and implications for kinetics. J Chem Phys 2011; 135:081102. [DOI: 10.1063/1.3632055] [Citation(s) in RCA: 78] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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15
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Sun Z, Liu L, Lin SY, Schinke R, Guo H, Zhang DH. State-to-state quantum dynamics of O + O2 isotope exchange reactions reveals nonstatistical behavior at atmospheric conditions. Proc Natl Acad Sci U S A 2010; 107:555-8. [PMID: 20080718 PMCID: PMC2818940 DOI: 10.1073/pnas.0911356107] [Citation(s) in RCA: 59] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
The O + O(2) exchange reaction is a prerequisite for the formation of ozone in Earth's atmosphere. We report here state-to-state differential and integral cross sections for several O + O(2) isotope-exchange reactions obtained by dynamically exact quantum scattering calculations at collision energies relevant to atmospheric conditions. These reactions are shown to be highly nonstatistical, evidenced by dominant forward scattering and deviation of the integral cross section from the statistical limit. Mechanistic analyses revealed that the nonstatistical channel is facilitated by short-lived osculating resonances. The theoretical results provided an in-depth interpretation of a recent molecular beam experiment of the exchange reaction and shed light on the initial step of ozone recombination.
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Affiliation(s)
- Zhigang Sun
- State Key Laboratory of Molecular Reaction Dynamics and Center for Theoretical and Computational Chemistry, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China
| | - Lan Liu
- State Key Laboratory of Molecular Reaction Dynamics and Center for Theoretical and Computational Chemistry, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China
| | - Shi Ying Lin
- Department of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, NM 87131; and
| | - Reinhard Schinke
- Max–Planck–Institut für Dynamik und Selbstorganisation, D-37073 Göttingen, Germany
| | - Hua Guo
- Department of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, NM 87131; and
| | - Dong H. Zhang
- State Key Laboratory of Molecular Reaction Dynamics and Center for Theoretical and Computational Chemistry, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China
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Li Z, Xie D, Sun Z, Zhang DH, Lin SY, Guo H. NH(X3Σ)+H/D(S2)→H(S2)+NH/ND(X3Σ) exchange reactions: State-to-state quantum scattering and applicability of statistical model. J Chem Phys 2009; 131:124313. [DOI: 10.1063/1.3241134] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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17
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Sun Z, Lee SY, Guo H, Zhang DH. Comparison of second-order split operator and Chebyshev propagator in wave packet based state-to-state reactive scattering calculations. J Chem Phys 2009; 130:174102. [DOI: 10.1063/1.3126363] [Citation(s) in RCA: 80] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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18
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Dayou F, Larrégaray P, Bonnet L, Rayez JC, Arenas PN, González-Lezana T. A comparative study of the Si+O(2)-->SiO+O reaction dynamics from quasiclassical trajectory and statistical based methods. J Chem Phys 2008; 128:174307. [PMID: 18465922 DOI: 10.1063/1.2913156] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The dynamics of the singlet channel of the Si+O(2)-->SiO+O reaction is investigated by means of quasiclassical trajectory (QCT) calculations and two statistical based methods, the statistical quantum method (SQM) and a semiclassical version of phase space theory (PST). The dynamics calculations have been performed on the ground (1)A(') potential energy surface of Dayou and Spielfiedel [J. Chem. Phys. 119, 4237 (2003)] for a wide range of collision energies (E(c)=5-400 meV) and initial O(2) rotational states (j=1-13). The overall dynamics is found to be highly sensitive to the selected initial conditions of the reaction, the increase in either the collisional energy or the O(2) rotational excitation giving rise to a continuous transition from a direct abstraction mechanism to an indirect insertion mechanism. The product state properties associated with a given collision energy of 135 meV and low rotational excitation of O(2) are found to be consistent with the inverted SiO vibrational state distribution observed in a recent experiment. The SQM and PST statistical approaches, especially designed to deal with complex-forming reactions, provide an accurate description of the QCT total integral cross sections and opacity functions for all cases studied. The ability of such statistical treatments in providing reliable product state properties for a reaction dominated by a competition between abstraction and insertion pathways is carefully examined, and it is shown that a valuable information can be extracted over a wide range of selected initial conditions.
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Affiliation(s)
- Fabrice Dayou
- Laboratoire d'Etude du Rayonnement et de la Matière en Astrophysique, UMR 8112 du CNRS, Observatoire de Paris-Meudon, 5 Place Jules Janssen, 92195 Meudon Cedex, France.
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Lin SY, Sun Z, Guo H, Zhang DH, Honvault P, Xie D, Lee SY. Fully Coriolis-Coupled Quantum Studies of the H + O2 (υi = 0−2, ji = 0,1) → OH + O Reaction on an Accurate Potential Energy Surface: Integral Cross Sections and Rate Constants. J Phys Chem A 2008; 112:602-11. [DOI: 10.1021/jp7098637] [Citation(s) in RCA: 41] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Shi Ying Lin
- Department of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, New Mexico 87131, Center for Theoretical and Computational Chemistry, and State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China, Institut UTINAM, UMR CNRS 6213, University of Franche-Comté, Campus de la Bouloie, UFR Sciences et Techniques, 25030 Besançon cedex, France, Institute of Theoretical and Computational Chemistry, Laboratory of
| | - Zhigang Sun
- Department of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, New Mexico 87131, Center for Theoretical and Computational Chemistry, and State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China, Institut UTINAM, UMR CNRS 6213, University of Franche-Comté, Campus de la Bouloie, UFR Sciences et Techniques, 25030 Besançon cedex, France, Institute of Theoretical and Computational Chemistry, Laboratory of
| | - Hua Guo
- Department of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, New Mexico 87131, Center for Theoretical and Computational Chemistry, and State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China, Institut UTINAM, UMR CNRS 6213, University of Franche-Comté, Campus de la Bouloie, UFR Sciences et Techniques, 25030 Besançon cedex, France, Institute of Theoretical and Computational Chemistry, Laboratory of
| | - Dong Hui Zhang
- Department of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, New Mexico 87131, Center for Theoretical and Computational Chemistry, and State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China, Institut UTINAM, UMR CNRS 6213, University of Franche-Comté, Campus de la Bouloie, UFR Sciences et Techniques, 25030 Besançon cedex, France, Institute of Theoretical and Computational Chemistry, Laboratory of
| | - Pascal Honvault
- Department of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, New Mexico 87131, Center for Theoretical and Computational Chemistry, and State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China, Institut UTINAM, UMR CNRS 6213, University of Franche-Comté, Campus de la Bouloie, UFR Sciences et Techniques, 25030 Besançon cedex, France, Institute of Theoretical and Computational Chemistry, Laboratory of
| | - Daiqian Xie
- Department of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, New Mexico 87131, Center for Theoretical and Computational Chemistry, and State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China, Institut UTINAM, UMR CNRS 6213, University of Franche-Comté, Campus de la Bouloie, UFR Sciences et Techniques, 25030 Besançon cedex, France, Institute of Theoretical and Computational Chemistry, Laboratory of
| | - Soo-Y. Lee
- Department of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, New Mexico 87131, Center for Theoretical and Computational Chemistry, and State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China, Institut UTINAM, UMR CNRS 6213, University of Franche-Comté, Campus de la Bouloie, UFR Sciences et Techniques, 25030 Besançon cedex, France, Institute of Theoretical and Computational Chemistry, Laboratory of
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