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Mao Y, Yang Z, Buren B, Chen M. Unveiling Quantum Interference in the D + + H 2 Nonadiabatic Reaction Dynamics at Low Collision Energies. J Phys Chem A 2024; 128:420-430. [PMID: 38174889 DOI: 10.1021/acs.jpca.3c07097] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2024]
Abstract
Fully converged nonadiabatic dynamics calculations of the D+ + H2 → H+ + HD reaction are performed at low temperatures using the time-dependent wave packet approach based on a set of precise 3 × 3 diabatic potential energy surfaces (PESs) ( Phys. Chem. Chem. Phys., 2021, 23, 7735-7747, DOI: 10.1039/D0CP04100A). The D+ + H2 reaction is mediated by a dense manifold of resonances associated with the deep potential well on the ground-state PES. The calculated results show that the nonadiabatic coupling can affect the resonance positions, deviating from the expectation based solely on adiabatic considerations. Furthermore, significant forward-backward asymmetry in total differential cross sections (DCSs) is revealed, which is markedly influenced by nonadiabatic effects. The nonadiabatic effects not only affect the contribution of partial waves in the reaction but also make the interference patterns in the DCSs change significantly.
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Affiliation(s)
- Ye Mao
- Key Laboratory of Materials Modification by Laser, Electron, and Ion Beams (Ministry of Education), School of Physics, Dalian University of Technology, Dalian 116024, PR China
| | - Zijiang Yang
- Key Laboratory of Materials Modification by Laser, Electron, and Ion Beams (Ministry of Education), School of Physics, Dalian University of Technology, Dalian 116024, PR China
| | - Bayaer Buren
- School of Science, Shenyang University of Technology, Shenyang 110870, PR China
| | - Maodu Chen
- Key Laboratory of Materials Modification by Laser, Electron, and Ion Beams (Ministry of Education), School of Physics, Dalian University of Technology, Dalian 116024, PR China
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2
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He D, Li W, Li Q, Chen S, Wang L, Liu Y, Wang M. The impact of non-adiabatic effects on reaction dynamics: a study based on the adiabatic and non-adiabatic potential energy surfaces of CaH 2. Phys Chem Chem Phys 2023; 25:22744-22754. [PMID: 37605513 DOI: 10.1039/d3cp02416d] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 08/23/2023]
Abstract
The two-state non-adiabatic potential energy matrices of the CaH2+ system are calculated via a diabatization approach by using a neural network model. Subsequently, the adiabatic and non-adiabatic potential energy surfaces (PESs) are constructed based on these non-adiabatic potential energy matrices. Furthermore, based on the adiabatic and non-adiabatic PESs, the Ca+(4s2S) + H2(X1Σ+g) → H(2S) + CaH+(X1Σ+) reaction is studied using the time-dependent wave packet method. Comparative analysis of the experimental and theoretical integral reaction cross-sections (ICSs) indicates that the maximum deviation between the results obtained from the adiabatic PES and the corresponding experimental value is 12.7 bohr2; in contrast, the maximum discrepancy between the theoretical result derived from the non-adiabatic PES and the experimental value is merely 0.42 bohr2. The potential well along the reaction path acts as a 'filter', selectively guiding intermediates with longer lifetimes in the potential well back to the reactant channel. This phenomenon indicates that the non-adiabatic effects significantly influence the reaction dynamics of the CaH2+ system.
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Affiliation(s)
- Di He
- School of Physics and Optoelectronics Engineering, Ludong University, Yantai 264025, China.
| | - Wentao Li
- Weifang University of Science and Technology, Shouguang 262700, China
| | - Quanjiang Li
- School of Physics and Optoelectronics Engineering, Ludong University, Yantai 264025, China.
| | - Shenghui Chen
- School of Physics and Optoelectronics Engineering, Ludong University, Yantai 264025, China.
| | - Li Wang
- School of Physics and Optoelectronics Engineering, Ludong University, Yantai 264025, China.
| | - Yanli Liu
- School of Physics and Optoelectronics Engineering, Ludong University, Yantai 264025, China.
| | - Meishan Wang
- School of Physics and Optoelectronics Engineering, Ludong University, Yantai 264025, China.
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3
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The time-dependent quantum wave packet calculation for reaction S ‒( 2P)+H 2( 1Σ g+)→SH ‒( 1Σ)+H( 2S)
on a new ab initio potential energy surface. CHINESE J CHEM PHYS 2022. [DOI: 10.1063/1674-0068/cjcp2111239] [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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Zhang W, Meng Q, Gao S, Song Y. Theoretical insight into the vibrational excitation effect of the S+(4S) + H2(X1∑+g) reaction. Chem Phys Lett 2021. [DOI: 10.1016/j.cplett.2020.138257] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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5
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Ghosh S, Sahoo T, Baer M, Adhikari S. Charge Transfer Processes for H + H 2+ Reaction Employing Coupled 3D Wavepacket Approach on Beyond Born-Oppenheimer Based Ab Initio Constructed Diabatic Potential Energy Surfaces. J Phys Chem A 2021; 125:731-745. [PMID: 33461293 DOI: 10.1021/acs.jpca.0c08975] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The dynamics of the H + H2+ reaction has been analyzed from the electronically first excited state of diabatic potential energy surfaces constructed by employing the Beyond Born-Oppenheimer theory [J. Chem. Phys. 2014, 141, 204306]. We have employed the coupled 3D time-dependent wavepacket formalism in hyperspherical coordinates for multisurface reactive scattering problems. To be specific, the charge transfer processes have been investigated extensively by calculating state-to-state as well as total reaction probabilities and integral cross sections, when the reaction process is initiated from the first excited electronic state (21A'). We have depicted the convergence profiles of reaction probabilities for the competing charge transfer processes, namely, reactive charge transfer (RCT) and nonreactive charge transfer (NRCT) processes for different total energies with respect to total angular momentum, J. Total and state-to-state integral cross sections are calculated as a function of total energy for the initial rovibrational state, namely, v = 0, j = 0 level of H2+ (2Σg+) molecule and are compared with previous theoretical calculations. Finally, we have calculated temperature-dependent rate constants using our presently evaluated cross sections and compared their average with the experimentally measured one.
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Affiliation(s)
- Sandip Ghosh
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Kolkata, 700 032, India
| | - Tapas Sahoo
- Department of Chemistry, University of Waterloo, Waterloo, ON N2L 3G1, Canada
| | - Michael Baer
- The Fritz Haber Center for Molecular Dynamics, The Hebrew University of Jerusalem, Jerusalem, 91904, Israel
| | - Satrajit Adhikari
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Kolkata, 700 032, India
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6
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State-to-state investigations of vibrational excitation effects for D+ + HD reaction. Chem Phys Lett 2021. [DOI: 10.1016/j.cplett.2020.138133] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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7
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Sathyamurthy N, Mahapatra S. Time-dependent quantum mechanical wave packet dynamics. Phys Chem Chem Phys 2020; 23:7586-7614. [PMID: 33306771 DOI: 10.1039/d0cp03929b] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Starting from a model study of the collinear (H, H2) exchange reaction in 1959, the time-dependent quantum mechanical wave packet (TDQMWP) method has come a long way in dealing with systems as large as Cl + CH4. The fast Fourier transform method for evaluating the second order spatial derivative of the wave function and split-operator method or Chebyshev polynomial expansion for determining the time evolution of the wave function for the system have made the approach highly accurate from a practical point of view. The TDQMWP methodology has been able to predict state-to-state differential and integral reaction cross sections accurately, in agreement with available experimental results for three dimensional (H, H2) collisions, and identify reactive scattering resonances too. It has become a practical computational tool in predicting the observables for many A + BC exchange reactions in three dimensions and a number of larger systems. It is equally amenable to determining the bound and quasi-bound states for a variety of molecular systems. Just as it is able to deal with dissociative processes (without involving basis set expansion), it is able to deal with multi-mode nonadiabatic dynamics in multiple electronic states with equal ease. We present an overview of the method and its strength and limitations, citing examples largely from our own research groups.
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8
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Jambrina PG, Menéndez M, Aoiz FJ. Angular momentum-scattering angle quantum correlation: a generalized deflection function. Chem Sci 2018; 9:4837-4850. [PMID: 29910936 PMCID: PMC5982215 DOI: 10.1039/c7sc05489k] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/28/2017] [Accepted: 04/25/2018] [Indexed: 11/23/2022] Open
Abstract
A natural generalization of the classical deflection function, the functional dependence of the deflection angle on the angular momentum (or the impact parameter), is the joint probability density function of these two quantities, revealing the correlation between them. It provides, at a glance, detailed information about the reaction mechanisms and how changes in the impact parameter affect the product angular distribution. It is also useful to predict the presence of quantum phenomena such as interference. However, the classical angular momentum-scattering angle correlation function has a limited use whenever quantum effects become important. Rigorously speaking, there is not a quantum equivalent of the classical joint distribution, as the differential cross section depends on the coherences between the different values of J caused by the cross terms in the expansion of partial waves. In this article, we present a simple method to calculate a quantum analog of this correlation, a generalized deflection function that can shed light onto the reaction mechanism using just quantum mechanical results. Our results show that there is a very good agreement between the quantum and classical correlation functions as long as quantum effects are not all relevant. When this is not the case, it will also be shown that the quantum correlation function is most useful to observe the extent of quantum effects such as interference among different reaction mechanisms.
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Affiliation(s)
- P G Jambrina
- Departamento de Química Física Aplicada , Universidad Autonoma de Madrid , 28049 , Madrid , Spain .
| | - M Menéndez
- Departamento de Química Física I , Facultad de Ciencias Químicas , Universidad Complutense de Madrid , 28040 Madrid , Spain .
| | - F J Aoiz
- Departamento de Química Física I , Facultad de Ciencias Químicas , Universidad Complutense de Madrid , 28040 Madrid , Spain .
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9
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Lü R. Low-energy stereodynamics in the ion–molecule reactions D+ + D2/HD and H+ + H2/HD: reagent vibrational excitation effect and mass factor effect. Theor Chem Acc 2018. [DOI: 10.1007/s00214-018-2233-0] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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10
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He H, Zhu W, Su W, Dong L, Li B. Accurate Quantum Wave Packet Study of the Deep Well D + + HD Reaction: Product Ro-vibrational State-Resolved Integral and Differential Cross Sections. J Phys Chem A 2018; 122:2319-2328. [DOI: 10.1021/acs.jpca.7b08941] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Haixiang He
- School of Chemistry & Chemical Engineering, Guangxi University, Nanning 530004, People’s Republic of China
| | - Weimin Zhu
- School of Chemistry & Chemical Engineering, Guangxi University, Nanning 530004, People’s Republic of China
| | - Wenli Su
- School of Chemistry & Chemical Engineering, Guangxi University, Nanning 530004, People’s Republic of China
| | - Lihui Dong
- School of Chemistry & Chemical Engineering, Guangxi University, Nanning 530004, People’s Republic of China
| | - Bin Li
- School of Chemistry & Chemical Engineering, Guangxi University, Nanning 530004, People’s Republic of China
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11
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Ghosh S, Mukherjee S, Mukherjee B, Mandal S, Sharma R, Chaudhury P, Adhikari S. Beyond Born-Oppenheimer theory for ab initio constructed diabatic potential energy surfaces of singlet H3+ to study reaction dynamics using coupled 3D time-dependent wave-packet approach. J Chem Phys 2017; 147:074105. [PMID: 28830157 DOI: 10.1063/1.4998406] [Citation(s) in RCA: 44] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Sandip Ghosh
- Department of Physical Chemistry, Indian Association for the Cultivation of Science, 2A & 2B Raja S. C. Mullick Road, Jadavpur, Kolkata, West Bengal 700 032, India
| | - Saikat Mukherjee
- Department of Physical Chemistry, Indian Association for the Cultivation of Science, 2A & 2B Raja S. C. Mullick Road, Jadavpur, Kolkata, West Bengal 700 032, India
| | - Bijit Mukherjee
- Department of Physical Chemistry, Indian Association for the Cultivation of Science, 2A & 2B Raja S. C. Mullick Road, Jadavpur, Kolkata, West Bengal 700 032, India
| | - Souvik Mandal
- Department of Physical Chemistry, Indian Association for the Cultivation of Science, 2A & 2B Raja S. C. Mullick Road, Jadavpur, Kolkata, West Bengal 700 032, India
| | - Rahul Sharma
- St. Xavier’s College, 30 Mother Teresa Sarani, Kolkata, West Bengal 700 016, India
| | - Pinaki Chaudhury
- Department of Chemistry, University of Calcutta, Kolkata 700 009, India
| | - Satrajit Adhikari
- Department of Physical Chemistry, Indian Association for the Cultivation of Science, 2A & 2B Raja S. C. Mullick Road, Jadavpur, Kolkata, West Bengal 700 032, India
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12
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Lara M, Jambrina PG, Aoiz FJ, Launay JM. Cold and ultracold dynamics of the barrierless D+ + H2 reaction: Quantum reactive calculations for ∼R−4 long range interaction potentials. J Chem Phys 2015; 143:204305. [DOI: 10.1063/1.4936144] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Manuel Lara
- Departamento de Química Física Aplicada, Facultad de Ciencias, Universidad Autónoma de Madrid, 28049 Madrid, Spain
| | - P. G. Jambrina
- Departamento de Química Física, Facultad de Química, Universidad Complutense, 28040 Madrid, Spain
| | - F. J. Aoiz
- Departamento de Química Física, Facultad de Química, Universidad Complutense, 28040 Madrid, Spain
| | - J.-M. Launay
- Institut de Physique de Rennes, UMR CNRS 6251, Université de Rennes I, F-35042 Rennes, France
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13
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Ghosh S, Sahoo T, Adhikari S, Sharma R, Varandas AJC. Coupled 3D Time-Dependent Wave-Packet Approach in Hyperspherical Coordinates: The D++H2 Reaction on the Triple-Sheeted DMBE Potential Energy Surface. J Phys Chem A 2015; 119:12392-403. [DOI: 10.1021/acs.jpca.5b07718] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Sandip Ghosh
- Department of Physical Chemistry, Indian Association for the Cultivation of Science, 2A & 2B Raja S. C. Mullick Road, Jadavpur, Kolkata-700032, West Bengal, India
| | - Tapas Sahoo
- Weizmann Institute of Science, 234 Herzl Street, Rehovot, Illinois 7610001, Israel
| | - Satrajit Adhikari
- Department of Physical Chemistry, Indian Association for the Cultivation of Science, 2A & 2B Raja S. C. Mullick Road, Jadavpur, Kolkata-700032, West Bengal, India
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14
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15
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Sahoo T, Ghosh S, Adhikari S, Sharma R, Varandas AJC. Coupled 3D Time-Dependent Wave-Packet Approach in Hyperspherical Coordinates: Application to the Adiabatic Singlet-State(11A′) D+ + H2 Reaction. J Phys Chem A 2014; 118:4837-50. [DOI: 10.1021/jp5035739] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Tapas Sahoo
- Department of Physical Chemistry, Indian Association for the Cultivation of Science, 2A & 2B Raja S. C. Mullick Road, Jadavpur, Kolkata 700032, West Bengal, India
| | - Sandip Ghosh
- Department of Physical Chemistry, Indian Association for the Cultivation of Science, 2A & 2B Raja S. C. Mullick Road, Jadavpur, Kolkata 700032, West Bengal, India
| | - Satrajit Adhikari
- Department of Physical Chemistry, Indian Association for the Cultivation of Science, 2A & 2B Raja S. C. Mullick Road, Jadavpur, Kolkata 700032, West Bengal, India
| | - Rahul Sharma
- 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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16
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Yu S, Su S, Dai D, Yuan K, Yang X. State-to-state dynamics of the H*(n) + HD → D*(n′) + H2 reactive scattering. J Chem Phys 2014; 140:034310. [DOI: 10.1063/1.4861759] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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17
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Quantum wave packet dynamics study of the S(3P)+H2 reaction on the lowest SH2(13A′′) state. COMPUT THEOR CHEM 2012. [DOI: 10.1016/j.comptc.2012.07.041] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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18
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Lv SJ, Zhang PY, He GZ. Time-dependent Wave Packet Quantum Scattering Study of Reaction S(3P)+H2→HS+H on a New ab initio Potential Energy Surface 3A′. CHINESE J CHEM PHYS 2012. [DOI: 10.1088/1674-0068/25/03/291-296] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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19
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Influence of collision energy on cross section and stereodynamical properties for the reaction H+OCl→OH+Cl. Chem Phys 2012. [DOI: 10.1016/j.chemphys.2012.05.003] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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20
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Lv SJ, Zhang PY, Han KL, He GZ. Exact quantum scattering study of the H + HS reaction on a new ab initio potential energy surface H2S (3A″). J Chem Phys 2012; 136:094308. [DOI: 10.1063/1.3690051] [Citation(s) in RCA: 34] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023] Open
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21
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He HX, Lu RF, Zhang PY, Han KL, He GZ. Dissociation and ionization competing processes for H2+ in intense laser field: Which one is larger? J Chem Phys 2012; 136:024311. [DOI: 10.1063/1.3676065] [Citation(s) in RCA: 34] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023] Open
Affiliation(s)
- Hai-Xiang He
- State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, People's Republic of China
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22
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Jambrina PG, Alvariño JM, Gerlich D, Hankel M, Herrero VJ, Sáez-Rábanos V, Aoiz FJ. Dynamics of the D+ + H2 and H+ + D2 reactions: a detailed comparison between theory and experiment. Phys Chem Chem Phys 2012; 14:3346-59. [DOI: 10.1039/c2cp23479c] [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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23
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ZHANG WENQIN, CHEN MAODU. QUASICLASSICAL TRAJECTORY STUDY OF THE STEREODYNAMICS FOR THE REACTION D+ + H2 (ν=0, j = 0) → HD + H+. JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY 2011. [DOI: 10.1142/s0219633609005465] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
The vector correlations between products and reactants for the reactive noncharge transfer ion–molecule collisions D + + H 2 (ν=0, j = 0)→ HD + H + have been determined by means of the quasiclassical trajectory method on the ground state in the KBNN potential energy surface (J Chem Phys116:654, 2002) at collision energies of 0.224, 0.524, 0.824, and 1.024 eV. The calculated differential cross section (DCS) results indicate that the lifetime of the complex [Formula: see text] in the deep well on the ground PES becomes shorter as collision energy increases. The existence of long-lived complex leads to a weak product rotational polarization at a low collision energy of 0.224 eV. However, the product rotational angular momentum j′ aligns and orients preferentially along the positive direction of the y-axis at a high collision energy of 1.024 eV. The distribution of P(θr, ϕr) indicates that the product molecules are preferentially polarized perpendicular to the scattering plane and that the reaction is dominated by an in-plane mechanism.
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Affiliation(s)
- WENQIN ZHANG
- School of Chemical Engineering, School of Physics and Optoelectronic Technology, College of Advanced Science and Technology, Dalian University of Technology, Dalian 116024, P. R. China
| | - MAODU CHEN
- School of Chemical Engineering, School of Physics and Optoelectronic Technology, College of Advanced Science and Technology, Dalian University of Technology, Dalian 116024, P. R. China
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25
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ZHANG CUIHUA, ZHANG WENQIN, CHEN MAODU. THEORETICAL STUDIES OF STEREODYNAMICS FOR THE H+ + H2 (ν = 0–3, j = 0) → H2 + H+ REACTION. JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY 2011. [DOI: 10.1142/s0219633609004654] [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 stereodynamics calculation was carried out for the title reaction by quasiclassical trajectory method on the ground surface of KBNN potential energy surface. The vector correlations are determined at initial ground state and vibrational excitation of the reagent H 2. The results show that the rotational polarization is affected lightly by collision energy and strongly by reagent excitation for title reaction. The rotational alignments are almost isotropic at several collision energies on initial ground state of the reagent H 2, which means that the product rotational angular momentum is weakly polarized (or no polarized). Nevertheless, the polarization of product rotational angular momentum is enhanced remarkably at the vibrational excitations of the reagent H 2 in collision energy of 0.524 eV.
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Affiliation(s)
- CUIHUA ZHANG
- School of Physics and Optoelectronic Technology, School of Chemical Engineering, College of Advanced Science and Technology, Dalian University of Technology, Dalian 116024, PR China
| | - WENQIN ZHANG
- School of Physics and Optoelectronic Technology, School of Chemical Engineering, College of Advanced Science and Technology, Dalian University of Technology, Dalian 116024, PR China
| | - MAODU CHEN
- School of Physics and Optoelectronic Technology, School of Chemical Engineering, College of Advanced Science and Technology, Dalian University of Technology, Dalian 116024, PR China
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26
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Theoretical study of isotope effects on the stereodynamics of H++HD and its isotopic variant D++HD. J Mol Model 2011; 17:2797-804. [DOI: 10.1007/s00894-011-0961-3] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/05/2010] [Accepted: 01/05/2011] [Indexed: 11/27/2022]
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27
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Hankel M. Coriolis coupling effects in the dynamics of deep well reactions: application to the H+ + D2 reaction. Phys Chem Chem Phys 2011; 13:7948-60. [DOI: 10.1039/c1cp20144a] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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28
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Honvault P, Jorfi M, González-Lezana T, Faure A, Pagani L. Quantum mechanical study of the proton exchange in the ortho–para H2 conversion reaction at low temperature. Phys Chem Chem Phys 2011; 13:19089-100. [DOI: 10.1039/c1cp21232j] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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29
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Errea LF, Illescas C, Macías A, Méndez L, Pons B, Rabadán I, Riera A. Influence of nuclear exchange on nonadiabatic electron processes in H(+)+H2 collisions. J Chem Phys 2010; 133:244307. [PMID: 21197993 DOI: 10.1063/1.3518417] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
H(+)+H(2) collisions are studied by means of a semiclassical approach that explicitly accounts for nuclear rearrangement channels in nonadiabatic electron processes. A set of classical trajectories is used to describe the nuclear motion, while the electronic degrees of freedom are treated quantum mechanically in terms of a three-state expansion of the collision wavefunction. We describe electron capture and vibrational excitation, which can also involve nuclear exchange and dissociation, in the E = 2-1000 eV impact energy range. We compare dynamical results obtained with two parametrizations of the potential energy surface of H(3)(+) ground electronic state. Total cross sections for E > 10 eV agree with previous results using a vibronic close-coupling expansion, and with experimental data for E < 10 eV. Additionally, some prototypical features of both nuclear and electron dynamics at low E are discussed.
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Affiliation(s)
- L F Errea
- Laboratorio Asociado al CIEMAT de Física Atómica y Molecular en Plasmas de Fusión, Departamento de Química, Universidad Autónoma de Madrid, Madrid-28049, Spain
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30
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Abstract
The nonadiabatic quantum dynamics and Coriolis coupling effect in chemical reaction have been reviewed, with emphasis on recent progress in using the time-dependent wave packet approach to study the Coriolis coupling and nonadiabatic effects, which was done by K. L. Han and his group. Several typical chemical reactions, for example, H+D(2), F+H(2)/D(2)/HD, D(+)+H(2), O+H(2), and He+H(2)(+), have been discussed. One can find that there is a significant role of Coriolis coupling in reaction dynamics for the ion-molecule collisions of D(+)+H(2), Ne+H(2)(+), and He+H(2)(+) in both adiabatic and nonadiabatic context.
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Affiliation(s)
- Emilia L Wu
- Department of Chemical Engineering and Materials Science, University of Minnesota, 421 Washington Ave. S.E., Minneapolis, MN 55455-0132, USA.
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31
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Li B, Chu TS, Han KL. Non-Born-Oppenheimer dynamics calculations using the coherent switching with decay of mixing method. J Comput Chem 2010; 31:362-70. [PMID: 19479734 DOI: 10.1002/jcc.21329] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
A theoretical investigation of the nonadiabatic processes that are involved in the full three-dimensional D+H(2), H+D(2), D(+)+H(2), and H(+)+D(2) reaction systems has been performed using the method of coherence switching with decay of mixing (CSDM) developed by Truhlar and coworkers. The electronic density matrix for each trajectory is fully coherent in the CSDM method, and a switching algorithm different to the original "decay of mixing" method is used to determine the pure state toward which the decoherent force drives the system. By solving the equations for the evolution of the electronic state populations along the semiclassical trajectory, the ensemble can present effective physical insight into nonadiabatic dynamics. The calculations for the D+H(2) and H+D(2) systems is based on the double many body expansion potential energy surface. The potential energy surface constructed by Kamisaka et al. is employed in the calculation of D(+)+H(2) and H(+)+D(2) reactions. The cross sections and the reaction probabilities for the total angular momentum J = 0 are calculated for all of these systems. The calculated results from the CSDM method are in good agreement with exact quantum mechanical calculations and experimental measurements.
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Affiliation(s)
- Bin Li
- State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China
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32
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Jambrina PG, Aoiz FJ, Bulut N, Smith SC, Balint-Kurti GG, Hankel M. The dynamics of the H++ D2reaction: a comparison of quantum mechanical wavepacket, quasi-classical and statistical-quasi-classical results. Phys Chem Chem Phys 2010; 12:1102-15. [DOI: 10.1039/b919914d] [Citation(s) in RCA: 45] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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33
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Jambrina PG, Alvariño JM, Aoiz FJ, Herrero VJ, Sáez-Rábanos V. Reaction dynamics of the D+ + H2 system. A comparison of theoretical approaches. Phys Chem Chem Phys 2010; 12:12591-603. [DOI: 10.1039/c0cp00311e] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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34
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González-Lezana T, Honvault P, Jambrina PG, Aoiz FJ, Launay JM. Effects of the rotational excitation of D2 and of the potential energy surface on the H++D2→HD+D+ reaction. J Chem Phys 2009; 131:044315. [DOI: 10.1063/1.3183538] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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35
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Jambrina PG, Aoiz FJ, Eyles CJ, Herrero VJ, Sáez Rábanos V. Cumulative reaction probabilities and transition state properties: a study of the H+ + H2 and H+ + D2 proton exchange reactions. J Chem Phys 2009; 130:184303. [PMID: 19449917 DOI: 10.1063/1.3129343] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/02/2023] Open
Abstract
Cumulative reaction probabilities (CRPs) have been calculated by accurate (converged, close coupling) quantum mechanical (QM), quasiclassical trajectory (QCT), and statistical QCT (SQCT) methods for the H(+) + H(2) and H(+) + D(2) reactions at collision energies up to 1.2 eV and total angular momentum J = 0-4. A marked resonance structure is found in the QM CRP, most especially for the H(3)(+) system and J = 0. When the CRPs are resolved in their ortho and para contributions, a clear steplike structure is found associated with the opening of internal states of reactants and products. The comparison of the QCT results with those of the other methods evinces the occurrence of two transition states, one at the entrance and one at the exit. At low J values, except for the quantal resonance structure and the lack of quantization in the product channel, the agreement between QM and QCT is very good. The SQCT model, that reflects the steplike structure associated with the opening of initial and final states accurately, clearly tends to overestimate the value of the CRP as the collision energy increases. This effect seems more marked for the H(+) + D(2) isotopic variant. For sufficiently high J values, the growth of the centrifugal barrier leads to an increase in the threshold of the CRP. At these high J values the discrepancy between SQCT and QCT becomes larger and is magnified with growing collision energy. The total CRPs calculated with the QCT and SQCT methods allowed the determination of the rate constant for the H(+) + D(2) reaction. It was found that the rate, in agreement with experiment, decreases with temperature as expected for an endothermic reaction. In the range of temperatures between 200 and 500 K the differences between SQCT and QCT rate results are relatively minor. Although exact QM calculations are formidable for an exact determination of the k(T), it can be reliably expected that their value will lie between those given by the dynamical and statistical trajectory methods.
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Affiliation(s)
- P G Jambrina
- Departamento de Química Física, Universidad de Salamanca, 37008 Salamanca, Spain
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36
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37
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Lu RF, Zhang PY, Han KL. Attosecond-resolution quantum dynamics calculations for atoms and molecules in strong laser fields. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2008; 77:066701. [PMID: 18643391 DOI: 10.1103/physreve.77.066701] [Citation(s) in RCA: 41] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/04/2007] [Revised: 02/28/2008] [Indexed: 05/26/2023]
Abstract
A parallel quantum electron and nuclei wave packet computer code, LZH-DICP, has been developed to study laser-atom-molecule interaction in the nonperturbative regime with attosecond resolution. The nonlinear phenomena occurring in that regime can be studied with the code in a rigorous way by numerically solving the time-dependent Schrödinger equation of electrons and nuclei. Time propagation of the wave functions is performed using a split-operator approach, and based on a sine discrete variable representation. Photoelectron spectra for hydrogen and kinetic-energy spectra for molecular hydrogen ion in linearly polarized laser fields are calculated using a flux operator scheme, which testifies to the validity and the high efficiency of LZH-DICP.
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Affiliation(s)
- Rui-Feng Lu
- State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian, 116023, China
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38
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Li B, Han KL. The three-dimensional nonadiabatic dynamics calculation of DH2+ and HD2+ systems by using the trajectory surface hopping method based on the Zhu–Nakamura theory. J Chem Phys 2008; 128:114116. [DOI: 10.1063/1.2884928] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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39
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Carmona-Novillo E, González-Lezana T, Roncero O, Honvault P, Launay JM, Bulut N, Javier Aoiz F, Bañares L, Trottier A, Wrede E. On the dynamics of the H+ +D2(v=0,j=0)-->HD+D + reaction: a comparison between theory and experiment. J Chem Phys 2008; 128:014304. [PMID: 18190193 DOI: 10.1063/1.2812555] [Citation(s) in RCA: 54] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The H+ +D2(v=0,j=0)-->HD+D + reaction has been theoretically investigated by means of a time independent exact quantum mechanical approach, a quantum wave packet calculation within an adiabatic centrifugal sudden approximation, a statistical quantum model, and a quasiclassical trajectory calculation. Besides reaction probabilities as a function of collision energy at different values of the total angular momentum, J, special emphasis has been made at two specific collision energies, 0.1 and 0.524 eV. The occurrence of distinctive dynamical behavior at these two energies is analyzed in some detail. An extensive comparison with previous experimental measurements on the Rydberg H atom with D2 molecules has been carried out at the higher collision energy. In particular, the present theoretical results have been employed to perform simulations of the experimental kinetic energy spectra.
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40
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Li W, Wang M, Yang C, Ma X, Wang D, Liu W. Quasi-classical trajectory study of the cross sections of the reactions of D−+H2→H−+HD and H−+D2→D−+HD. Chem Phys Lett 2007. [DOI: 10.1016/j.cplett.2007.08.013] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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41
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42
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González-Lezana T, Aguado A, Paniagua M, Roncero O. Quantum approaches for the insertion dynamics of the H+ + D2 and D+ + H2 reactive collisions. J Chem Phys 2007; 123:194309. [PMID: 16321090 DOI: 10.1063/1.2118567] [Citation(s) in RCA: 56] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The H(+)+D(2) and D(+)+H(2) reactive collisions are studied using a recently proposed adiabatic potential energy surface of spectroscopic accuracy. The dynamics is studied using an exact wave packet method on the adiabatic surface at energies below the curve crossing occurring at approximately 1.5 eV above the threshold. It is found that the reaction is very well described by a statistical quantum method for a zero total angular momentum (J) as compared with the exact ones, while for higher J some discrepancies are found. For J >0 different centrifugal sudden approximations are proposed and compared with the exact and statistical quantum treatments. The usual centrifugal sudden approach fails by considering too high reaction barriers and too low reaction probabilities. A new statistically modified centrifugal sudden approach is considered which corrects these two failures to a rather good extent. It is also found that an adiabatic approximation for the helicities provides results in very good agreement with the statistical method, placing the reaction barrier properly. However, both statistical and adiabatic centrifugal treatments overestimate the reaction probabilities. The reaction cross sections thus obtained with the new approaches are in rather good agreement with the exact results. In spite of these deficiencies, the quantum statistical method is well adapted for describing the insertion dynamics, and it is then used to evaluate the differential cross sections.
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Affiliation(s)
- Tomas González-Lezana
- Unidad Asociada Universidad Autónoma de Madrid-Consejo Superior de Investigaciones Científicas (UAM-CSIC), Instituto de Matemáticas y Física Fundamental, Consejo Superior de Investigaciones Científicas (CSIC), Serrano 123, Madrid 28006, Spain
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43
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Lu RF, Zhang PY, Chu TS, Xie TX, Han KL. Spin-orbit effect in the energy pooling reaction O2(aΔ1)+O2(aΔ1)→O2(bΣ1)+O2(XΣ3). J Chem Phys 2007; 126:124304. [PMID: 17411120 DOI: 10.1063/1.2713399] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
Five-dimensional nonadiabatic quantum dynamics studies have been carried out on two new potential energy surfaces of S(2)((1)A(')) and T(7)((3)A(")) states for the title oxygen molecules collision with coplanar configurations, along with the spin-orbit coupling between them. The ab initio calculations are based on complete active state second-order perturbation theory with the 6-31+G(d) basis set. The calculated spin-orbit induced transition probability as a function of collision energy is found to be very small for this energy pooling reaction. The rate constant obtained from a uniform J-shifting approach is compared with the existing theoretical and experimental data, and the spin-orbit effect is also discussed in this electronic energy-transfer process.
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Affiliation(s)
- Rui-Feng Lu
- State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China
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44
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González-Lezana T, Roncero O, Honvault P, Launay JM, Bulut N, Aoiz FJ, Bañares L. A detailed quantum mechanical and quasiclassical trajectory study on the dynamics of the H++H2→H2+H+ exchange reaction. J Chem Phys 2006; 125:094314. [PMID: 16965087 DOI: 10.1063/1.2336224] [Citation(s) in RCA: 65] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The H+ + H2 exchange reaction has been studied theoretically by means of a different variety of methods as an exact time independent quantum mechanical, approximate quantum wave packet, statistical quantum, and quasiclassical trajectory approaches. Total and state-to-state reaction probabilities in terms of the collision energy for different values of the total angular momentum obtained with these methods are compared. The dynamics of the reaction is extensively studied at the collision energy of E(coll)=0.44 eV. Integral and differential cross sections and opacity functions at this collision energy have been calculated. In particular, the fairly good description of the exact quantum results provided by the statistical quantum method suggests that the dynamics of the process is governed by an insertion mechanism with the formation of a long-lived collision complex.
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Affiliation(s)
- Tomás González-Lezana
- Instituto de Matemáticas y Física Fundamental (CSIC), Serrano 123, 28006 Madrid, Spain.
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45
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Vissers GWM, McCoy AB. Time-Dependent Wave Packet Studies on the Cl + HCl Hydrogen Exchange Reaction. J Phys Chem A 2006; 110:5978-81. [PMID: 16671664 DOI: 10.1021/jp061196d] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The initiation of the hydrogen exchange reaction Cl((2)P)+HCl --> ClH+Cl((2)P) by excitation of the HCl molecular stretch to v=2 is studied for total angular momentum quantum number J=(1)/(2) and both even and odd parity. The calculations were performed using a time-dependent propagation from an initial quasi-bound state and employed all three relevant potential energy surfaces and the nonadiabatic couplings between them. Coriolis and spin-orbit coupling were also taken into account. The electronic and HCl rotational distributions of the products in both dissociation channels are analyzed, and the results are interpreted using features of the potential energy surfaces.
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Affiliation(s)
- Gé W M Vissers
- Department of Chemistry, The Ohio State University, Columbus, Ohio 43210, USA
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46
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Chu TS, Zhang Y, Han KL. The time-dependent quantum wave packet approach to the electronically nonadiabatic processes in chemical reactions. INT REV PHYS CHEM 2006. [DOI: 10.1080/01442350600677929] [Citation(s) in RCA: 416] [Impact Index Per Article: 23.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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