1
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Ghosh S, Sharma R, Adhikari S, Varandas AJC. Dynamical calculations of O( 3P) + OH( 2Π) reaction on the CHIPR potential energy surface using the fully coupled time-dependent wave-packet approach in hyperspherical coordinates. Phys Chem Chem Phys 2021; 23:21784-21796. [PMID: 34550126 DOI: 10.1039/d1cp02488d] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We have carried out quantum dynamics calculations for the O + OH → H + O2 reaction on the CHIPR [A. J. C. Varandas, J. Chem. Phys., 2013, 138, 134117] potential energy surface (PES) for ground state HO2 using the fully coupled 3D time-dependent wavepacket formalism [S. Adhikari and A. J. C. Varandas, Comput. Phys. Commun., 2013, 184, 270] in hyperspherical coordinates. Reaction probabilities for J > 0 are calculated for different initial rotational states of the OH radical (v = 0; j = 0, 1). State-to-state as well as total integral cross sections and rate-coefficients are evaluated and compared with previous theoretical calculations and available experimental studies. Using the rate constant for the forward (hereinafter considered to be H + O2 → O + OH) and backward (O + OH → H + O2) reactions of this reactive system, the equilibrium constant of the reversible process [H + O2 ⇌ O + OH] is calculated as a function of temperature and compared with previous experimental measurements.
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Affiliation(s)
- Sandip Ghosh
- School of Chemical Sciences, Indian Association for the Cultivation of Science, 2A & 2B Raja S. C. Mullick Road, Jadavpur, Kolkata-700032, West Bengal, India.
| | - Rahul Sharma
- Department of Chemistry, St. Xaviers' College, Kolkata-700016, West Bengal, India
| | - Satrajit Adhikari
- School of Chemical Sciences, Indian Association for the Cultivation of Science, 2A & 2B Raja S. C. Mullick Road, Jadavpur, Kolkata-700032, West Bengal, India.
| | - António J C Varandas
- School of Physics and Physical Engineering, Qufu Normal University, 273165 Qufu, China.,Department of Physics, Universidade Federal do Espírito Santo, 29075-910 Victória, Brazil.,Departamento de Qumica, and Centro de Qumica, Universidade de Coimbra, 3004-535 Coimbra, Portugal.
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2
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Quasi-Classical Trajectory Study of the CN + NH 3 Reaction Based on a Global Potential Energy Surface. Molecules 2021; 26:molecules26040994. [PMID: 33668582 PMCID: PMC7918900 DOI: 10.3390/molecules26040994] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/26/2021] [Revised: 02/10/2021] [Accepted: 02/11/2021] [Indexed: 11/17/2022] Open
Abstract
Based on a combination of valence-bond and molecular mechanics functions which were fitted to high-level ab initio calculations, we constructed an analytical full-dimensional potential energy surface, named PES-2020, for the hydrogen abstraction title reaction for the first time. This surface is symmetrical with respect to the permutation of the three hydrogens in ammonia, it presents numerical gradients and it improves the description presented by previous theoretical studies. In order to analyze its quality and accuracy, stringent tests were performed, exhaustive kinetics and dynamics studies were carried out using quasi-classical trajectory calculations, and the results were compared with the available experimental evidence. Firstly, the properties (geometry, vibrational frequency and energy) of all stationary points were found to reasonably reproduce the ab initio information used as input; due to the complicated topology with deep wells in the entrance and exit channels and a “submerged” transition state, the description of the intermediate complexes was poorer, although it was adequate to reasonably simulate the kinetics and dynamics of the title reaction. Secondly, in the kinetics study, the rate constants simulated the experimental data in the wide temperature range of 25–700 K, improving the description presented by previous theoretical studies. In addition, while previous studies failed in the description of the kinetic isotope effects, our results reproduced the experimental information. Finally, in the dynamics study, we analyzed the role of the vibrational and rotational excitation of the CN(v,j) reactant and product angular scattering distribution. We found that vibrational excitation by one quantum slightly increased reactivity, thus reproducing the only experimental measurement, while rotational excitation strongly decreased reactivity. The scattering distribution presented a forward-backward shape, associated with the presence of deep wells along the reaction path. These last two findings await experimental confirmation.
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3
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Wang CH, Masunov AE, Allison TC, Chang S, Lim C, Jin Y, Vasu SS. Molecular Dynamics of Combustion Reactions in Supercritical Carbon Dioxide. 6. Computational Kinetics of Reactions between Hydrogen Atom and Oxygen Molecule H + O 2 ⇌ HO + O and H + O 2 ⇌ HO 2. J Phys Chem A 2019; 123:10772-10781. [PMID: 31820644 DOI: 10.1021/acs.jpca.9b08789] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
Reactions of the hydrogen atom and the oxygen molecule are among the most important ones in the hydrogen and hydrocarbon oxidation mechanisms, including combustion in a supercritical CO2 (sCO2) environment, known as oxy-combustion or the Allam cycle. Development of these energy technologies requires understanding of chemical kinetics of H + O2 ⇌ HO + O and H + O2 ⇌ HO2 in high pressures and concentrations of CO2. Here, we combine quantum treatment of the reaction system by the transition state theory with classical molecular dynamics simulation and the multistate empirical valence bonding method to treat environmental effects. Potential of mean force in the sCO2 solvent at various temperatures 1000-2000 K and pressures 100-400 atm was obtained. The reaction rate for H + O2 ⇌ HO + O was found to be pressure-independent and described by the extended Arrhenius equation 4.23 × 10-7 T-0.73 exp(-21 855.2 cal/mol/RT) cm3/molecule/s, while the reaction rate H + O2 ⇌ HO2 is pressure-dependent and can be expressed as 5.22 × 10-2 T-2.86 exp(-7247.4 cal/mol/RT) cm3/molecule/s at 300 atm.
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Affiliation(s)
- Chun-Hung Wang
- NanoScience Technology Center , University of Central Florida , 12424 Research Parkway , Orlando , Florida 32826 , United States
| | - Artëm E Masunov
- NanoScience Technology Center , University of Central Florida , 12424 Research Parkway , Orlando , Florida 32826 , United States.,School of Modeling, Simulation, and Training , University of Central Florida , 3100 Technology Parkway , Orlando , Florida 32816 , United States.,Department of Chemistry , University of Central Florida , 4111 Libra Drive , Orlando , Florida 32816 , United States.,South Ural State University , Lenin pr. 76 , Chelyabinsk 454080 , Russia.,National Research Nuclear University MEPhI , Kashirskoye shosse 31 , Moscow 115409 , Russia
| | - Timothy C Allison
- Southwest Research Institute , San Antonio , Texas 78238 , United States
| | - Sungho Chang
- KEPCO Research Institute , Daejeon 34050 , Korea
| | - Chansun Lim
- Hanwha Power Systems , Seongnam , Gyeonggi 13488 , Korea
| | - Yuin Jin
- Hanwha Power Systems , Seongnam , Gyeonggi 13488 , Korea
| | - Subith S Vasu
- Center for Advanced Turbomachinery and Energy Research (CATER), Mechanical and Aerospace Engineering , University of Central Florida , Orlando , Florida 32816 , United States
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4
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Zuo JX, Hu XX, Xie DQ. Quantum Dynamics of Oxyhydrogen Complex-Forming Reactions for the HO2 and HO3 Systems. CHINESE J CHEM PHYS 2018. [DOI: 10.1063/1674-0068/31/cjcp1804060] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]
Affiliation(s)
- Jun-xiang Zuo
- Institute of Theoretical and Computational Chemistry, Key Laboratory of Mesoscopic Chemistry, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210093, China
| | - Xi-xi Hu
- Institute of Theoretical and Computational Chemistry, Key Laboratory of Mesoscopic Chemistry, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210093, China
| | - Dai-qian Xie
- Institute of Theoretical and Computational Chemistry, Key Laboratory of Mesoscopic Chemistry, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210093, China
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Potapov A, Canosa A, Jiménez E, Rowe B. Chemie mit Überschall: 30 Jahre astrochemische Forschung und künftige Herausforderungen. Angew Chem Int Ed Engl 2017. [DOI: 10.1002/ange.201611240] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Affiliation(s)
- Alexey Potapov
- Laborastrophysikgruppe des Max-Planck-Instituts für Astronomie am Institut für Festkörperphysik; Friedrich-Schiller-Universität Jena; Helmholtzweg 3 07743 Jena Deutschland
| | - André Canosa
- Département de Physique Moléculaire; Institut de Physique de Rennes, UMR CNRS-UR1 6251, Université de Rennes 1, Campus de Beaulieu; 263 Avenue du Général Leclerc 35042 Rennes Cedex Frankreich
| | - Elena Jiménez
- Departamento de Química Física, Facultad de Ciencias y Tecnologías Químicas; Universidad de Castilla-La Mancha; Avda. Camilo José Cela, 1B 13071 Ciudad Real Spanien
| | - Bertrand Rowe
- Rowe-consulting, 22 Chemin des Moines; 22750 Saint Jacut de la Mer Frankreich
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Potapov A, Canosa A, Jiménez E, Rowe B. Uniform Supersonic Chemical Reactors: 30 Years of Astrochemical History and Future Challenges. Angew Chem Int Ed Engl 2017; 56:8618-8640. [DOI: 10.1002/anie.201611240] [Citation(s) in RCA: 29] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/16/2016] [Revised: 01/27/2017] [Indexed: 11/06/2022]
Affiliation(s)
- Alexey Potapov
- Laborastrophysikgruppe des Max-Planck-Instituts für Astronomie am Institut für Festkörperphysik; Friedrich-Schiller-Universität Jena; Helmholtzweg 3 07743 Jena Germany
| | - André Canosa
- Département de Physique Moléculaire; Institut de Physique de Rennes, UMR CNRS-UR1 6251, Université de Rennes 1, Campus de Beaulieu; 263 Avenue du Général Leclerc 35042 Rennes Cedex France
| | - Elena Jiménez
- Departamento de Química Física, Facultad de Ciencias y Tecnologías Químicas; Universidad de Castilla-La Mancha; Avda. Camilo José Cela, 1B 13071 Ciudad Real Spain
| | - Bertrand Rowe
- Rowe-consulting, 22 Chemin des Moines; 22750 Saint Jacut de la Mer France
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Goswami S, Bussery-Honvault B, Honvault P, Mahapatra S. Effect of internal excitations of reagent diatom on initial state-selected dynamics of C + OH reaction on its second excited (14A″) electronic state. Mol Phys 2017. [DOI: 10.1080/00268976.2017.1296195] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- Sugata Goswami
- School of Chemistry, University of Hyderabad, Hyderabad, India
| | - B. Bussery-Honvault
- Laboratoire Interdisciplinaire Carnot de Bourgogne (UMR CNRS 6303), Univ. Bourgogne Franche-Comté, Dijon Cedex, France
| | - P. Honvault
- Laboratoire Interdisciplinaire Carnot de Bourgogne (UMR CNRS 6303), Univ. Bourgogne Franche-Comté, Dijon Cedex, France
- UFR ST, Université de Franche-Comté, Besançon Cedex, France
| | - S. Mahapatra
- School of Chemistry, University of Hyderabad, Hyderabad, India
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Rivero Santamaría A, Dayou F, Rubayo-Soneira J, Monnerville M. Time-Dependent Quantum Wave Packet Study of the Si + OH → SiO + H Reaction: Cross Sections and Rate Constants. J Phys Chem A 2017; 121:1675-1685. [PMID: 28171718 DOI: 10.1021/acs.jpca.7b00174] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The dynamics of the Si(3P) + OH(X2Π) → SiO(X1Σ+) + H(2S) reaction is investigated by means of the time-dependent wave packet (TDWP) approach using an ab initio potential energy surface recently developed by Dayou et al. ( J. Chem. Phys. 2013 , 139 , 204305 ) for the ground X2A' electronic state. Total reaction probabilities have been calculated for the first 15 rotational states j = 0-14 of OH(v=0,j) at a total angular momentum J = 0 up to a collision energy of 1 eV. Integral cross sections and state-selected rate constants for the temperature range 10-500 K were obtained within the J-shifting approximation. The reaction probabilities display highly oscillatory structures indicating the contribution of long-lived quasibound states supported by the deep SiOH/HSiO wells. The cross sections behave with collision energies as expected for a barrierless reaction and are slightly sensitive to the initial rotational excitation of OH. The thermal rate constants show a marked temperature dependence below 200 K with a maximum value around 15 K. The TDWP results globally agree with the results of earlier quasi-classical trajectory (QCT) calculations carried out by Rivero-Santamaria et al. ( Chem. Phys. Lett. 2014 , 610-611 , 335 - 340 ) with the same potential energy surface. In particular, the thermal rate constants display a similar temperature dependence, with TDWP values smaller than the QCT ones over the whole temperature range.
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Affiliation(s)
- Alejandro Rivero Santamaría
- Laboratoire de Physique des Lasers, Atomes et Molécules, UMR 8523 du CNRS, Centre d'Études et de Recherches Lasers et Applications, Université Lille I , Bât. P5, 59655 Villeneuve d'Ascq Cedex, France
| | - Fabrice Dayou
- LERMA, Observatoire de Paris, PSL Research University, CNRS, Sorbonne Universités , UPMC Univ. Paris 06, F-75252 Paris, France
| | - Jesus Rubayo-Soneira
- Departamento de Física General, Instituto Superior de Tecnologías y Ciencias Aplicadas , Habana 10600, Cuba
| | - Maurice Monnerville
- Laboratoire de Physique des Lasers, Atomes et Molécules, UMR 8523 du CNRS, Centre d'Études et de Recherches Lasers et Applications, Université Lille I , Bât. P5, 59655 Villeneuve d'Ascq Cedex, France
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9
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Teixidor MM, Varandas AJC. Quantum dynamics study on the CHIPR potential energy surface for the hydroperoxyl radical: the reactions O + OH⇋O2 + H. J Chem Phys 2015; 142:014309. [PMID: 25573563 DOI: 10.1063/1.4905292] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Quantum scattering calculations of the O((3)P)+OH((2)Π)⇌O2((3)Σg (-))+H((2)S) reactions are presented using the combined-hyperbolic-inverse-power-representation potential energy surface [A. J. C. Varandas, J. Chem. Phys. 138, 134117 (2013)], which employs a realistic, ab initio-based, description of both the valence and long-range interactions. The calculations have been performed with the ABC time-independent quantum reactive scattering computer program based on hyperspherical coordinates. The reactivity of both arrangements has been investigated, with particular attention paid to the effects of vibrational excitation. By using the J-shifting approximation, rate constants are also reported for both the title reactions.
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Affiliation(s)
- Marc Moix Teixidor
- Departamento de Química and Centro de Química, Universidade de Coimbra, 3004-535 Coimbra, Portugal
| | - António J C Varandas
- Departamento de Química and Centro de Química, Universidade de Coimbra, 3004-535 Coimbra, Portugal
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10
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Petty C, Poirier B. Comparison of J-shifting models for rovibrational spectra as applied to the HO2 molecule. Chem Phys Lett 2014. [DOI: 10.1016/j.cplett.2014.05.003] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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11
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Pradhan GB, Juanes-Marcos JC, Balakrishnan N, Kendrick BK. Chemical reaction versus vibrational quenching in low energy collisions of vibrationally excited OH with O. J Chem Phys 2013; 139:194305. [PMID: 24320324 DOI: 10.1063/1.4830398] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Quantum scattering calculations are reported for state-to-state vibrational relaxation and reactive scattering in O + OH(v = 2 - 3, j = 0) collisions on the electronically adiabatic ground state (2)A'' potential energy surface of the HO2 molecule. The time-independent Schrödinger equation in hyperspherical coordinates is solved to determine energy dependent probabilities and cross sections over collision energies ranging from ultracold to 0.35 eV and for total angular momentum quantum number J = 0. A J-shifting approximation is then used to compute initial state selected reactive rate coefficients in the temperature range T = 1 - 400 K. Results are found to be in reasonable agreement with available quasiclassical trajectory calculations. Results indicate that rate coefficients for O2 formation increase with increasing the OH vibrational level except at low and ultralow temperatures where OH(v = 0) exhibits a slightly different trend. It is found that vibrational relaxation of OH in v = 2 and v = 3 vibrational levels is dominated by a multi-quantum process.
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Affiliation(s)
- G B Pradhan
- Department of Chemistry, University of Nevada Las Vegas, Las Vegas, Nevada 89154, USA
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Perry JW, Dawes R, Wagner AF, Thompson DL. A classical trajectory study of the intramolecular dynamics, isomerization, and unimolecular dissociation of HO2. J Chem Phys 2013; 139:084319. [PMID: 24007009 DOI: 10.1063/1.4818879] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/24/2023] Open
Abstract
The classical dynamics and rates of isomerization and dissociation of HO2 have been studied using two potential energy surfaces (PESs) based on interpolative fittings of ab initio data: An interpolative moving least-squares (IMLS) surface [A. Li, D. Xie, R. Dawes, A. W. Jasper, J. Ma, and H. Guo, J. Chem. Phys. 133, 144306 (2010)] and the cubic-spline-fitted PES reported by Xu, Xie, Zhang, Lin, and Guo (XXZLG) [J. Chem. Phys. 127, 024304 (2007)]. Both PESs are based on similar, though not identical, internally contracted multi-reference configuration interaction with Davidson correction (icMRCI+Q) electronic structure calculations; the IMLS PES includes complete basis set (CBS) extrapolation. The coordinate range of the IMLS PES is limited to non-reactive processes. Surfaces-of-section show similar generally regular phase space structures for the IMLS and XXZLG PESs with increasing energy. The intramolecular vibrational energy redistribution (IVR) at energies above and below the threshold of isomerization is slow, especially for O-O stretch excitations, consistent with the regularity in the surfaces-of-section. The slow IVR rates lead to mode-specific effects that are prominent for isomerization (on both the IMLS and XXZLG) and modest for unimolecular dissociation to H + O2 (accessible only on the XXZLG PES). Even with statistical distributions of initial energy, slow IVR rates result in double exponential decay for isomerization, with the slower rate correlated with slow IVR rates for O-O vibrational excitation. The IVR and isomerization rates computed for the IMLS and XXZLG PESs are quantitatively, but not qualitatively, different from one another with the largest differences ascribed to the ~2 kcal/mol difference in the isomerization barrier heights. The IMLS and XXZLG results are compared with those obtained using the global, semi-empirical double-many-body expansion DMBE-IV PES [M. R. Pastrana, L. A. M. Quintales, J. Brandão, and A. J. C. Varandas, J. Chem. Phys. 94, 8073 (1990)], for which the surfaces-of-section display more irregular phase space structure, much faster IVR rates, and significantly less mode-specific effects in isomerization and unimolecular dissociation. The calculated IVR results for all three PESs are reasonably well represented by an analytic, coupled three-mode energy transfer model.
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Affiliation(s)
- Jamin W Perry
- Department of Chemistry, University of Missouri-Columbia, Columbia, Missouri 65211, USA
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Petty C, Chen W, Poirier B. Quantum Dynamical Calculation of Bound Rovibrational States of HO2 up to Largest Possible Total Angular Momentum, J ≤ 130. J Phys Chem A 2013; 117:7280-97. [DOI: 10.1021/jp401154m] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Corey Petty
- Department
of Chemistry and Biochemistry, and Department
of Physics, Texas Tech University, Box
41061, Lubbock, Texas 79409-1061, United States
| | - Wenwu Chen
- Department
of Chemistry and Biochemistry, and Department
of Physics, Texas Tech University, Box
41061, Lubbock, Texas 79409-1061, United States
| | - Bill Poirier
- Department
of Chemistry and Biochemistry, and Department
of Physics, Texas Tech University, Box
41061, Lubbock, Texas 79409-1061, United States
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Varandas AJC. Accurate Determination of the Reaction Course in HY2 ⇌ Y + YH (Y = O, S): Detailed Analysis of the Covalent- to Hydrogen-Bonding Transition. J Phys Chem A 2013; 117:7393-407. [DOI: 10.1021/jp401384d] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- A. J. C. Varandas
- Departamento
de Química, Universidade de Coimbra, 3004-535 Coimbra,
Portugal
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15
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Varandas AJC. Accurate combined-hyperbolic-inverse-power-representation of ab initio potential energy surface for the hydroperoxyl radical and dynamics study of O+OH reaction. J Chem Phys 2013; 138:134117. [DOI: 10.1063/1.4795826] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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16
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Rao TR, Goswami S, Mahapatra S, Bussery-Honvault B, Honvault P. Time-dependent quantum wave packet dynamics of the C + OH reaction on the excited electronic state. J Chem Phys 2013; 138:094318. [DOI: 10.1063/1.4793395] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Varandas AJC. Combined-hyperbolic-inverse-power-representation of potential energy surfaces: A preliminary assessment for H3 and HO2. J Chem Phys 2013; 138:054120. [DOI: 10.1063/1.4788912] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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LIU RUNZE, DING YIJUE, WEN CHENGYUAN, LI JINFENG, ZHONG MINGWANG, SHI YING. THEORETICAL STUDY OF STEREODYNAMICS AND ISOTOPIC EFFECTS FOR THE REACTION C(3P) + OD(X2Π) → CO(X1Σ+) + D(2S). JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY 2012. [DOI: 10.1142/s0219633611006578] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
Theoretical study on stereodynamics for the title reaction as well as its isotopic effects has been studied via QCT calculations on the ground X2A′ state of ab initio potential energy surface according to the study by Zanchet et al. Four polarization-dependent generalized differential cross-sections PDDCSs ((2π/σ) (dσ00/dωt), (2π/σ)(dσ20/dωt)), (2π/σ)(dσ22+/dωt), (2π/σ)(dσ21-/dωt), and the distributions of P(θr) and P(φr) that denotes the correlations of k-j′ and k-k′-j′ are presented in this work. Product angular distribution and rotational polarization have been analyzed at different collision energies and compared with C+OH reaction. Product angular distribution shows strong forward scattering at low collision energy and becomes more symmetric with forward and backward scattering with the increasing collision energy. The alignment and orientation of product angular momentum presents a different behavior with collision energy, the former one increases monotonically with collision energy, whereas the latter one shows first decreasing and then increasing behavior, which have been analyzed in the present paper. Product rotational polarization for C+OD is weaker than that for C+OH , which is mainly due to the mass factor and zero point energy of C+OD .
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Affiliation(s)
- RUNZE LIU
- College of Physics, Jilin University, 130012, Jilin, P. R. China
| | - YIJUE DING
- College of Physics, Jilin University, 130012, Jilin, P. R. China
| | - CHENGYUAN WEN
- College of Physics, Jilin University, 130012, Jilin, P. R. China
| | - JINFENG LI
- College of Physics, Jilin University, 130012, Jilin, P. R. China
| | - MINGWANG ZHONG
- College of Physics, Jilin University, 130012, Jilin, P. R. China
| | - YING SHI
- Institute of Atomic and Molecular Physics, Jilin University 130012, Jilin, P. R. China
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Sun Z, Yang W, Zhang DH. Higher-order split operator schemes for solving the Schrödinger equation in the time-dependent wave packet method: applications to triatomic reactive scattering calculations. Phys Chem Chem Phys 2012; 14:1827-45. [DOI: 10.1039/c1cp22790d] [Citation(s) in RCA: 32] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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21
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CHEN WENWU, POIRIER BILL. QUANTUM DYNAMICAL CALCULATION OF ALL ROVIBRATIONAL STATES OF HO2 FOR TOTAL ANGULAR MOMENTUM J = 0–10. JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY 2011. [DOI: 10.1142/s0219633610005815] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
The energy levels and wavefunctions for all rovibrational bound states of HO2 are systematically computed, for all total angular momentum values J = 0–10. The calculations are performed using ScalIT, a suite of software modules designed to enable quantum dynamics and related calculations to be performed on massively parallel computing architectures. This is the first-ever application of ScalIT to a real (and very challenging) molecular application. The codes, and in particular, the algorithms (optimal separable basis, preconditioned inexact spectral transform, phase space optimized discrete variable representation basis) are so efficient that in fact, the entire calculation can be performed on a single CPU — although parallel scalability over a small number of CPUs is also evaluated, and found to be essentially perfect in this regime. For the lowest 11 vibrational states, the rotational levels for J = 0–10 fit fairly well to a rigid rotor model, with all vibrational-state-dependent rotational constants, B eff (v), close to values obtained from a previous calculation for J = 0 and 1 [J Chem Phys107:2705, 1997]. However, comparatively larger discrepancies with the rigid-rotor model are found at the higher J values, manifesting in the observed K-splitting (along the O–O bond) of rovibrational levels. This supports earlier work [J Chem Phys113:11055, 2000] suggesting that Coriolis coupling is quite important for this system.
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Affiliation(s)
- WENWU CHEN
- Department of Chemistry and Biochemistry, Texas Tech University, Box 41061, Lubbock, Texas 79409-1061, USA
- Department of Physics, Texas Tech University, Box 41061, Lubbock, Texas 79409-1061, USA
| | - BILL POIRIER
- Department of Chemistry and Biochemistry, Texas Tech University, Box 41061, Lubbock, Texas 79409-1061, USA
- Department of Physics, Texas Tech University, Box 41061, Lubbock, Texas 79409-1061, USA
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22
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Bulut N, Roncero O, Jorfi M, Honvault P. Accurate time dependent wave packet calculations for the N + OH reaction. J Chem Phys 2011; 135:104307. [DOI: 10.1063/1.3633240] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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23
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Jorfi M, Honvault P. State-to-State Quantum Dynamics Calculations of the C + OH Reaction on the Second Excited Potential Energy Surface. J Phys Chem A 2011; 115:8791-6. [DOI: 10.1021/jp202879n] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- M. Jorfi
- LOMC, FRE 3102 CNRS/Université du Havre, 76058 Le Havre Cedex, France
| | - P. Honvault
- Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR CNRS 5209, Université de Bourgogne, 21078 Dijon Cedex, France
- Institut UTINAM, UMR 6213 CNRS, Université de Franche-Comté, 25030 Besançon Cedex, France
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24
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Bowman JM, Czakó G, Fu B. High-dimensional ab initio potential energy surfaces for reaction dynamics calculations. Phys Chem Chem Phys 2011; 13:8094-111. [DOI: 10.1039/c0cp02722g] [Citation(s) in RCA: 230] [Impact Index Per Article: 17.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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25
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Jorfi M, Honvault P. Quasi-classical trajectory study of the S + OH → SO + H reaction: from reaction probability to thermal rate constant. Phys Chem Chem Phys 2011; 13:8414-21. [DOI: 10.1039/c0cp02538k] [Citation(s) in RCA: 12] [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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26
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Juanes-Marcos JC, Quéméner G, Kendrick BK, Balakrishnan N. Ultracold collisions and reactions of vibrationally excited OH radicals with oxygen atoms. Phys Chem Chem Phys 2011; 13:19067-76. [DOI: 10.1039/c1cp21141b] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023]
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27
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28
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Li A, Xie D, Dawes R, Jasper AW, Ma J, Guo H. Global potential energy surface, vibrational spectrum, and reaction dynamics of the first excited (Ã (2)A(')) state of HO(2). J Chem Phys 2010; 133:144306. [PMID: 20949999 DOI: 10.1063/1.3490642] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022] Open
Abstract
The authors report extensive high-level ab initio studies of the first excited (Ã (2)A(')) state of HO(2). A global potential energy surface (PES) was developed by spline-fitting 17 000 ab initio points at the internal contracted multireference configuration interaction (icMRCI) level with the AVQZ basis set. To ascertain the spectroscopic accuracy of the PES, the near-equilibrium region of the molecule was also investigated using three interpolating moving least-squares-based PESs employing dynamically weighted icMRCI methods in the complete basis set limit. Vibrational energy levels on all four surfaces agree well with each other and a new assignment of some vibrational features is proposed. In addition, the dynamics of both the forward and reverse directions of the H+O(2)(ã (1)Δ(g))↔OH+O reaction (J=0) were studied using an exact wave packet method. The reactions are found to be dominated by sharp resonances.
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Affiliation(s)
- Anyang Li
- Institute of Theoretical and Computational Chemistry, Key Laboratory of Mesoscopic Chemistry, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210093, China
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29
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Ma J, Lin SY, Guo H, Sun Z, Zhang DH, Xie D. State-to-state quantum dynamics of the O(P3)+OH(Π2)→H(S2)+O2(Σ3g−) reaction. J Chem Phys 2010; 133:054302. [DOI: 10.1063/1.3455431] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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30
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Rio CM, Wang W, Brandão J. Quasiclassical trajectory calculations of the H+O2 and O+OH reactions on spectroscopically accurate modified DMBE IV PESs. ACTA ACUST UNITED AC 2010. [DOI: 10.1016/j.theochem.2010.01.001] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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31
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Lique F, Jorfi M, Honvault P, Halvick P, Lin SY, Guo H, Xie DQ, Dagdigian PJ, Kłos J, Alexander MH. O+OH-->O(2)+H: A key reaction for interstellar chemistry. New theoretical results and comparison with experiment. J Chem Phys 2010; 131:221104. [PMID: 20001016 DOI: 10.1063/1.3274226] [Citation(s) in RCA: 53] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We report extensive, fully quantum, time-independent (TID) calculations of cross sections at low collision energies and rate constants at low temperatures for the O+OH reaction, of key importance in the production of molecular oxygen in cold, dark, interstellar clouds and in the chemistry of the Earth's atmosphere. Our calculations are compared with TID calculations within the J-shifting approximation, with wave-packet calculations, and with quasiclassical trajectory calculations. The fully quantum TID calculations yield rate constants higher than those from the more approximate methods and are qualitatively consistent with a low-temperature extrapolation of earlier experimental values but not with the most recent experiments at the lowest temperatures.
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Affiliation(s)
- F Lique
- LOMC, Universite du Havre, 25 Rue Philippe Lebon, BP 540, 76 058 Le Havre Cedex, France
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32
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Jorfi M, Honvault P. Quantum Dynamics at the State-to-State Level of the C + OH Reaction on the First Excited Potential Energy Surface. J Phys Chem A 2009; 114:4742-7. [DOI: 10.1021/jp908963k] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023]
Affiliation(s)
- M. Jorfi
- Institut UTINAM UMR CNRS 6213, University of Franche-Comté, 25030 Besançon Cedex, France
| | - P. Honvault
- Institut UTINAM UMR CNRS 6213, University of Franche-Comté, 25030 Besançon Cedex, France
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33
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Jorfi M, Honvault P. State-to-State Quantum Reactive Scattering Calculations and Rate Constant for Nitrogen Atoms in Collision with NO Radicals at Low Temperatures. J Phys Chem A 2009; 113:10648-51. [DOI: 10.1021/jp907865a] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- M. Jorfi
- Institut UTINAM, UMR CNRS 6213, University of Franche-Comté, 25030 Besançon Cedex, France
| | - P. Honvault
- Institut UTINAM, UMR CNRS 6213, University of Franche-Comté, 25030 Besançon Cedex, France
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34
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Jorfi M, Honvault P, Halvick P. Quasi-classical determination of integral cross-sections and rate constants for the N+OH→NO+H reaction. Chem Phys Lett 2009. [DOI: 10.1016/j.cplett.2009.02.029] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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35
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Jorfi M, Honvault P. State-to-State Quantum Dynamical Study of the N + OH → NO + H Reaction. J Phys Chem A 2009; 113:2316-22. [DOI: 10.1021/jp811237z] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- M. Jorfi
- Institut UTINAM, UMR CNRS 6213, University of Franche-Comté, 25030 Besançon Cedex, France
| | - P. Honvault
- Institut UTINAM, UMR CNRS 6213, University of Franche-Comté, 25030 Besançon Cedex, France
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36
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Lin SY, Guo H, Lendvay G, Xie D. Effects of reactant rotational excitation on H + O2→ OH + O reaction rate constant: quantum wave packet, quasi-classical trajectory and phase space theory calculations. Phys Chem Chem Phys 2009; 11:4715-21. [DOI: 10.1039/b822746m] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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37
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Jorfi M, Honvault P, Halvick P. Quasiclassical trajectory calculations of differential cross sections and product energy distributions for the N+OH→NO+H reaction. J Chem Phys 2009; 131:094302. [DOI: 10.1063/1.3218843] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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38
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Jorfi M, Honvault P, Bargueño P, González-Lezana T, Larrégaray P, Bonnet L, Halvick P. On the statistical behavior of the O+OH→H+O[sub 2] reaction: A comparison between quasiclassical trajectory, quantum scattering, and statistical calculations. J Chem Phys 2009; 130:184301. [DOI: 10.1063/1.3128537] [Citation(s) in RCA: 44] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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39
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Quéméner G, Balakrishnan N, Kendrick BK. Quantum dynamics of the O+OH→H+O2 reaction at low temperatures. J Chem Phys 2008; 129:224309. [DOI: 10.1063/1.3035904] [Citation(s) in RCA: 34] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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40
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Jorfi M, Honvault P, Halvick P, Lin S, Guo H. Quasiclassical trajectory scattering calculations for the OH+O→H+O2 reaction: Cross sections and rate constants. Chem Phys Lett 2008. [DOI: 10.1016/j.cplett.2008.07.069] [Citation(s) in RCA: 39] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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41
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Bargueño P, González-Lezana T, Larrégaray P, Bonnet L, Rayez JC, Hankel M, Smith SC, Meijer AJHM. Study of the H+O2 reaction by means of quantum mechanical and statistical approaches: the dynamics on two different potential energy surfaces. J Chem Phys 2008; 128:244308. [PMID: 18601333 DOI: 10.1063/1.2944246] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
The possible existence of a complex-forming pathway for the H+O(2) reaction has been investigated by means of both quantum mechanical and statistical techniques. Reaction probabilities, integral cross sections, and differential cross sections have been obtained with a statistical quantum method and the mean potential phase space theory. The statistical predictions are compared to exact results calculated by means of time dependent wave packet methods and a previously reported time independent exact quantum mechanical approach using the double many-body expansion (DMBE IV) potential energy surface (PES) [Pastrana et al., J. Phys. Chem. 94, 8073 (1990)] and the recently developed surface (denoted XXZLG) by Xu et al. [J. Chem. Phys. 122, 244305 (2005)]. The statistical approaches are found to reproduce only some of the exact total reaction probabilities for low total angular momenta obtained with the DMBE IV PES and some of the cross sections calculated at energy values close to the reaction threshold for the XXZLG surface. Serious discrepancies with the exact integral cross sections at higher energy put into question the possible statistical nature of the title reaction. However, at a collision energy of 1.6 eV, statistical rotationally resolved cross sections managed to reproduce the experimental cross sections for the H+O(2)(v=0,j=1)-->OH(v(')=1,j('))+O process reasonably well.
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Affiliation(s)
- Pedro Bargueño
- Instituto de Fisica Fundamental (CSIC), Serrano 123, 28006 Madrid, Spain
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42
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Kłos JA, Lique F, Alexander MH, Dagdigian PJ. Theoretical determination of rate constants for vibrational relaxation and reaction of OH(XΠ2,v=1) with O(P3) atoms. J Chem Phys 2008; 129:064306. [DOI: 10.1063/1.2957901] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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43
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Lendvay G, Xie D, Guo H. Mechanistic insights into the H+O2→OH+O reaction from quasi-classical trajectory studies on a new ab initio potential energy surface. Chem Phys 2008. [DOI: 10.1016/j.chemphys.2008.02.022] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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44
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Zanchet A, Halvick P, Bussery-Honvault B, Honvault P. Differential cross sections and product energy distributions for the C(P3)+OH(XΠ2)→CO(XΣ+1)+H(S2) reaction using a quasiclassical trajectory method. J Chem Phys 2008; 128:204301. [DOI: 10.1063/1.2924124] [Citation(s) in RCA: 33] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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45
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46
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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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47
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Lin SY, Guo H, Honvault P, Xu C, Xie D. Accurate quantum mechanical calculations of differential and integral cross sections and rate constant for the O+OH reaction using an ab initio potential energy surface. J Chem Phys 2008; 128:014303. [DOI: 10.1063/1.2812559] [Citation(s) in RCA: 56] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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