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Naskar K, Mukherjee S, Ghosh S, Adhikari S. Coupled 3D ( J ≥ 0) Time-Dependent Wave Packet Calculation for the F + H 2 Reaction on Accurate Ab Initio Multi-State Diabatic Potential Energy Surfaces. J Phys Chem A 2024; 128:1438-1456. [PMID: 38359800 DOI: 10.1021/acs.jpca.3c05590] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/17/2024]
Abstract
We had calculated adiabatic potential energy surfaces (PESs), nonadiabatic, and spin-orbit (SO) coupling terms among the lowest three electronic states (12A', 22A', and 12A″) of the F + H2 system using the multireference configuration interaction (MRCI) level of theory, and the adiabatic-to-diabatic transformation equations were solved to formulate the diabatic Hamiltonian matrix [J. Chem. Phys. 2020, 153, 174301] for the entire region of the nuclear configuration space. The accuracy of such diabatic PESs is explored by performing scattering calculations to evaluate integral cross sections (ICSs) and rate constants. The nonadiabatic and SO effects are studied by utilizing coupled 3D time-dependent wave packet formalism with zero and nonzero total angular momentum on multiple adiabatic/diabatic surfaces calculation. We depict the convergence profiles of reaction probabilities for the reactive as well as nonreactive processes on various electronic states at different collision energies with respect to total angular momentum including all helicity quantum numbers. Finally, total ICSs are calculated as functions of collision energies for the initial rovibrational state (v = 0, j = 0) of the H2 molecule along with the temperature-dependent rate coefficient, where those quantities are compared with previous theoretical and experimental results.
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Affiliation(s)
- Koushik Naskar
- School of Chemical Sciences, Indian Association for the Cultivation of Science 2A & 2B Raja S. C. Mullick Road, Jadavpur, Kolkata 700032, West Bengal, India
| | - Soumya Mukherjee
- School of Chemical Sciences, Indian Association for the Cultivation of Science 2A & 2B Raja S. C. Mullick Road, Jadavpur, Kolkata 700032, West Bengal, India
| | - 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
- Department of Chemical Sciences, Indian Institute of Science Education and Research, Kolkata 741246, 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
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Naskar K, Ghosh S, Adhikari S. Accurate Calculation of Rate Constant and Isotope Effect for the F + H 2 Reaction by the Coupled 3D Time-Dependent Wave Packet Method on the Newly Constructed Ab Initio Ground Potential Energy Surface. J Phys Chem A 2022; 126:3311-3328. [PMID: 35594416 DOI: 10.1021/acs.jpca.2c01209] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We employ coupled three-dimensional (3D) time dependent wave packet formalism in hyperspherical coordinates for reactive scattering problem on the newly constructed ab initio calculated ground adiabatic potential energy surface for the F + H2/D2 reaction. The convergence profiles for various reactive channels are depicted at low collision energy regimes with respect to the total angular momentum (J) quantum numbers. For two different reactant diatomic molecules (H2 and D2) initially at their respective ground roto-vibrational state (v = 0, j = 0), calculated state-to-state as well as total integral cross sections as a function of collision energy, temperature dependent rate constants, and the kinetic isotope effect for various reactivity profiles of F + H2 and F + D2 reactions are presented along with previous theoretical and experimental results.
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Affiliation(s)
- Koushik Naskar
- School of Chemical Sciences, Indian Association for the Cultivation of Science 2A & 2B Raja S. C. Mullick Road, Jadavpur, Kolkata-700032, West Bengal, India
| | - 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.,Department of Chemical Sciences, Indian Institute of Science Education and Research Kolkata West Bengal-741246, 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
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Ben Bouchrit R, Jorfi M, Ben Abdallah D, Jaidane N, González M, Bussery-Honvault B, Honvault P. Quantum dynamical study of the O(1D) + CH4→ CH3+ OH atmospheric reaction. J Chem Phys 2014; 140:244315. [DOI: 10.1063/1.4885276] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Rusin LY, Sevryuk MB, Toennies JP. The special features of rotationally resolved differential cross sections of the F + H2 reaction at small scattering angles. RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY B 2007. [DOI: 10.1134/s199079310705003x] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Abstract
A critical overview of the recent progress in crossed-beam reactive scattering is presented. This review is not intended to be an exhaustive nor a comprehensive one, but rather a critical assessment of what we have been learning about bimolecular reaction dynamics using crossed molecular beams since year 2000. Particular emphasis is placed on the information content encoded in the product angular distribution-the trait of a typical molecular beam scattering experiment-and how the information can help in answering fundamental questions about chemical reactivity. We will start with simple reactions by highlighting a few benchmark three-atom reactions, and then move on progressively to the more complex chemical systems and with more sophisticated types of measurements. Understanding what cause the experimental observations is more than computationally simulating the results. The give and take between experiment and theory in unraveling the physical picture of the underlying dynamics is illustrated throughout this review.
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Affiliation(s)
- Kopin Liu
- Institute of Atomic and Molecular Sciences (IAMS), Academia Sinica, Taipei 10617, Taiwan.
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Lu RF, Chu TS, Han KL. Quantum Wave Packet Study of the H+ + D2 Reaction on Diabatic Potential Energy Surfaces. J Phys Chem A 2005; 109:6683-8. [PMID: 16834020 DOI: 10.1021/jp0520401] [Citation(s) in RCA: 46] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The exact three-dimensional nonadiabatic quantum dynamics calculations were carried out for the title reaction by a time-dependent wave packet approach based on a newly constructed diabatic potential energy surface (Kamisaka et al. J. Chem. Phys. 2002, 116, 654). Three processes including those of reactive charge transfer, nonreactive charge transfer, and reactive noncharge transfer were investigated to determine the initial state-resolved probabilities and reactive cross sections. The results show that a large number of resonances can be observed in the calculated probabilities due to the deep well on adiabatic ground surface and the dominant process is the reactive noncharge-transfer process. Some interesting dynamical features such as v-dependent and j-dependent behaviors of the probabilities are also revealed. In addition, a good agreement has been achieved in the comparison between the calculated quantum cross sections from the ground rovibrational initial state and the experimental measurement data.
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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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Chu TS, Zhang X, Han KL. A quantum wave-packet study of intersystem crossing effects in the O(P2,1,03,D21)+H2 reaction. J Chem Phys 2005; 122:214301. [PMID: 15974732 DOI: 10.1063/1.1924507] [Citation(s) in RCA: 80] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present for the first time an exact quantum study of spin-orbit-induced intersystem crossing effects in the title reaction. The time-dependent wave-packet method, combined with an extended split operator scheme, is used to calculate the fine-structure resolved cross section. The calculation involves four electronic potential-energy surfaces of the 1A' state [J. Dobbyn and P. J. Knowles, Faraday Discuss. 110, 247 (1998)], the 3A' and the two degenerate 3A" states [S. Rogers, D. Wang, A. Kuppermann, and S. Wald, J. Phys. Chem. A 104, 2308 (2000)], and the spin-orbit couplings between them [B. Maiti, and G. C. Schatz, J. Chem. Phys. 119, 12360 (2003)]. Our quantum dynamics calculations clearly demonstrate that the spin-orbit coupling between the triplet states of different symmetries has the greatest contribution to the intersystem crossing, whereas the singlet-triplet coupling is not an important effect. A branch ratio of the spin state Pi32 to Pi12 of the product OH was calculated to be approximately 2.75, with collision energy higher than 0.6 eV, when the wave packet was initially on the triplet surfaces. The quantum calculation agrees quantitatively with the previous quasiclassical trajectory surface hopping study.
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Affiliation(s)
- Tian-Shu Chu
- State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China
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Chu TS, Han KL. Nonadiabatic Time-Dependent Wave Packet Study of the D+ + H2 Reaction System. J Phys Chem A 2005; 109:2050-6. [PMID: 16838974 DOI: 10.1021/jp0451391] [Citation(s) in RCA: 109] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
A theoretical investigation on the nonadiabatic processes of the D(+) + H(2) reaction system has been carried out by means of exact three-dimensional nonadiabatic time-dependent wave packet calculations with an extended split operator scheme (XSOS). The diabatic potential energy surface newly constructed by Kamisaka et al. (J. Chem. Phys. 2002, 116, 654) was employed in the calculations. This study provided quantum cross sections for three competing channels of the reactive charge transfer, the nonreactive charge transfer, and the reactive noncharge transfer, which contrasted markedly to many previous quantum theoretical reports on the (DH(2))(+) system restricted to the total angular momentum J = 0. These quantum theoretical cross sections derived from the ground rovibrational state of H(2) show wiggling structures and an increasing trend for both the reactive charge transfer and the nonreactive charge transfer but a decreasing trend for the reactive noncharge transfer throughout the investigated collision energy range 1.7-2.5 eV. The results also show that the channel of the reactive noncharge transfer with the largest cross section is the dominant one. A further investigation of the v-dependent behavior of the probabilities for the three channels revealed an interesting dominant trend for the reactive charge transfer and the nonreactive charge transfer at vibrational excitation v = 4 of H(2). In addition, the comparison between the centrifugal sudden (CS) and exact calculations showed the importance of the Coriolis coupling for the reactive system. The computed quantum cross sections are also compared with the experimental measurement results.
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Affiliation(s)
- Tian-Shu Chu
- State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China
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Xie TX, Zhang Y, Han KL. The nonadiabatic quantum dynamics of the F(2P1/2, 2P3/2)+HD reaction on modified Alexander, Stark, and Werner potential energy surfaces. Chem Phys Lett 2004. [DOI: 10.1016/j.cplett.2004.09.073] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Lee SH, Dong F, Liu K. A resonance-mediated non-adiabatic reaction: F*(2P1/2) + HD --> HF(v' = 3) + D. Faraday Discuss 2004; 127:49-57. [PMID: 15471339 DOI: 10.1039/b314529h] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The reaction of F(2P3/2,1/2) + HD --> HF(v' = 3) + D was investigated in a rotating-source, crossed-beam machine. The high translational energy resolution afforded by the Doppler-selected time-of-flight technique enabled us to distinguish the differential attributes of the HF(v' = 3) + D products of the ground state (2P3/2) reaction from those due to the spin-orbit excited (2P1/2) one. It was found that the F*(2P1/2) reactivity is significantly smaller than that for F(2P3/2), and the two state-to-state angular distributions exhibit remarkable similarities, though some differences were noted. Comparing the results with those concluded previously, we assert that both the adiabatic (F(2P3/2) + HD) and, in particular, the non-adiabatic (F*(2P1/2) + HD) reactions are predominantly mediated by a resonance mechanism for the formation of the HF(v' = 3) + D channel.
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Affiliation(s)
- Shih-Huang Lee
- Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei, Taiwan 106
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Zhang Y, Xie TX, Han KL. Reactivity of the Ground and Excited Spin−Orbit States for the Reaction of the F(2P3/2,2P1/2) with D2. J Phys Chem A 2003. [DOI: 10.1021/jp036118u] [Citation(s) in RCA: 42] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
Affiliation(s)
- Yan Zhang
- Center for Computational Chemistry and State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Science, Dalian 116023, China
| | - Ting-Xian Xie
- Center for Computational Chemistry and State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Science, Dalian 116023, China
| | - Ke-Li Han
- Center for Computational Chemistry and State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Science, Dalian 116023, China
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Abstract
This review discusses recent quantum scattering calculations on bimolecular chemical reactions in the gas phase. This theory provides detailed and accurate predictions on the dynamics and kinetics of reactions containing three atoms. In addition, the method can now be applied to reactions involving polyatomic molecules. Results obtained with both time-independent and time-dependent quantum dynamical methods are described. The review emphasises the recent development in time-dependent wave packet theories and the applications of reduced dimensionality approaches for treating polyatomic reactions. Calculations on over 40 different reactions are described.
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Althorpe SC. Plane wave packet study of direct and time-delayed mechanisms in the F+HD reaction. Chem Phys Lett 2003. [DOI: 10.1016/s0009-2614(03)00105-2] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Zeimen WB, Kłos J, Groenenboom GC, van der Avoird A. Diabatic intermolecular potentials and bound states of open-shell atom–molecule dimers: Application to the F([sup 2]P)–H[sub 2] complex. J Chem Phys 2003. [DOI: 10.1063/1.1562623] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Aoiz FJ, Bañares L, Castillo JF, Brouard M, Denzer W, Vallance C, Honvault P, Launay JM, Dobbyn AJ, Knowles PJ. Insertion and abstraction pathways in the reaction O(1D2) + H2-->OH+H. PHYSICAL REVIEW LETTERS 2001; 86:1729-1732. [PMID: 11290234 DOI: 10.1103/physrevlett.86.1729] [Citation(s) in RCA: 76] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/27/2000] [Indexed: 05/23/2023]
Abstract
Rigorous quantum dynamical calculations have been performed on the ground 1 1A' and first excited 1 1A" electronic states of the title reaction, employing the most accurate potential energy surfaces available. Product rovibrational quantum state populations and rotational angular momentum alignment parameters are reported, and are compared with new experimental, and quasiclassical trajectory calculated results. The quantum calculations agree quantitatively with experiment, and reveal unequivocally that the 1 1A" excited state participates in the reaction.
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Affiliation(s)
- F J Aoiz
- Departmento de Química Física, Facultad de Quíimica, Universidad Complutense, Madrid, Spain
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Honvault P, Launay JM. A quantum-mechanical study of the dynamics of the O(1D)+H2→OH+H insertion reaction. J Chem Phys 2001. [DOI: 10.1063/1.1338973] [Citation(s) in RCA: 95] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022] Open
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Alexander MH, Manolopoulos DE, Werner HJ. An investigation of the F+H2 reaction based on a full ab initio description of the open-shell character of the F(2P) atom. J Chem Phys 2000. [DOI: 10.1063/1.1326850] [Citation(s) in RCA: 223] [Impact Index Per Article: 9.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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MARKOVIĆ NIKOLA, BILLING GERTD. Analyses of the semi-classical wavepacket approach to chemical reactions: the F + H2→ HF + H reaction. Mol Phys 2000. [DOI: 10.1080/00268970009483381] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Dong F, Lee SH, Liu K. Reactive excitation functions for F+p-H2/n-H2/D2 and the vibrational branching for F+HD. J Chem Phys 2000. [DOI: 10.1063/1.1287840] [Citation(s) in RCA: 101] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Huarte-Larrañaga F, Giménez X, Lucas JM, Aguilar A, Launay JM. Detailed Energy Dependences of Cross Sections and Rotational Distributions for the Ne + H2+ → NeH+ + H Reaction. J Phys Chem A 2000. [DOI: 10.1021/jp000793b] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Fermín Huarte-Larrañaga
- Departament de Química Física, Universitat de Barcelona and Centre de Recerca en Química Teòrica, Universitat de Barcelona, Barcelona, Spain, and Department of Chemistry, University of California, Berkeley, California
| | - Xavier Giménez
- Departament de Química Física, Universitat de Barcelona and Centre de Recerca en Química Teòrica, Universitat de Barcelona, Barcelona, Spain, and Department of Chemistry, University of California, Berkeley, California
| | - Josep M. Lucas
- Departament de Química Física, Universitat de Barcelona and Centre de Recerca en Química Teòrica, Universitat de Barcelona, Barcelona, Spain, and Department of Chemistry, University of California, Berkeley, California
| | - Antonio Aguilar
- Departament de Química Física, Universitat de Barcelona and Centre de Recerca en Química Teòrica, Universitat de Barcelona, Barcelona, Spain, and Department of Chemistry, University of California, Berkeley, California
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Zhang DH, Lee SY, Baer M. Quantum mechanical integral cross sections and rate constants for the F+HD reactions. J Chem Phys 2000. [DOI: 10.1063/1.481618] [Citation(s) in RCA: 64] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023] Open
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Baer M. Strong isotope effects in the F+HD reactions at the low-energy interval: a quantum-mechanical study. Chem Phys Lett 1999. [DOI: 10.1016/s0009-2614(99)00920-3] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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