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Luo C, Tan Y, Li S, Lu Z, Shu Y, Chen W, Yuan D, Yang X, Wang X. Crossed Molecular Beam Study of the H + HD → H 2 + D Reaction at 0.60 and 1.26 eV Using the Near-Threshold Ionization Velocity Map Ion Imaging. J Phys Chem A 2022; 126:4444-4450. [PMID: 35792496 DOI: 10.1021/acs.jpca.2c03296] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
By using the 1 + 1' near-threshold ionization velocity map ion imaging technique, state-to-state reactive differential cross sections have been measured for the H + HD → H2 + D reaction. High-resolution images of the D products, with the rotational states of the H2 co-products clearly resolved, were acquired at the collision energies of 0.60 and 1.26 eV, respectively. It is found that the angular distribution is predominantly backward-scattering at the collision energy of 0.60 eV. However, at 1.26 eV, where the collision energy is higher, the angular distribution becomes forward-backward-scattering. Notably, at both collision energies, the main peaks of backward-scattered products gradually shift from backward toward sideways direction as the rotational quantum number of H2 increases. Moreover, in the forward direction, fast angular oscillations, which are induced by specific partial waves have also been observed at 1.26 eV. These features show a strong correlation between the product states and angular distributions and also indicate the unique role of partial waves in quantum reactive scattering.
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Affiliation(s)
- Chang Luo
- Department of Chemical Physics, University of Science and Technology of China, Hefei 230026, China
| | - Yuxin Tan
- Department of Chemical Physics, University of Science and Technology of China, Hefei 230026, China
| | - Shihao Li
- Department of Chemical Physics, University of Science and Technology of China, Hefei 230026, China
| | - Zhibing Lu
- Department of Chemical Physics, University of Science and Technology of China, Hefei 230026, China
| | - Yiyang Shu
- Department of Chemical Physics, University of Science and Technology of China, Hefei 230026, China
| | - Wentao Chen
- Department of Chemical Physics, University of Science and Technology of China, Hefei 230026, China
| | - Daofu Yuan
- Department of Chemical Physics, University of Science and Technology of China, Hefei 230026, China
| | - Xueming Yang
- State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China.,Department of Chemistry, School of Science, Southern University of Science and Technology, Shenzhen 518055, China
| | - Xingan Wang
- Department of Chemical Physics, University of Science and Technology of China, Hefei 230026, China
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Császár AG, Simkó I, Szidarovszky T, Groenenboom GC, Karman T, van der Avoird A. Rotational-vibrational resonance states. Phys Chem Chem Phys 2020; 22:15081-15104. [PMID: 32458891 DOI: 10.1039/d0cp00960a] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Resonance states are characterized by an energy that is above the lowest dissociation threshold of the potential energy hypersurface of the system and thus resonances have finite lifetimes. All molecules possess a large number of long- and short-lived resonance (quasibound) states. A considerable number of rotational-vibrational resonance states are accessible not only via quantum-chemical computations but also by spectroscopic and scattering experiments. In a number of chemical applications, most prominently in spectroscopy and reaction dynamics, consideration of rotational-vibrational resonance states is becoming more and more common. There are different first-principles techniques to compute and rationalize rotational-vibrational resonance states: one can perform scattering calculations or one can arrive at rovibrational resonances using variational or variational-like techniques based on methods developed for determining bound eigenstates. The latter approaches can be based either on the Hermitian (L2, square integrable) or non-Hermitian (non-L2) formalisms of quantum mechanics. This Perspective reviews the basic concepts related to and the relevance of shape and Feshbach-type rotational-vibrational resonance states, discusses theoretical methods and computational tools allowing their efficient determination, and shows numerical examples from the authors' previous studies on the identification and characterization of rotational-vibrational resonances of polyatomic molecular systems.
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Affiliation(s)
- Attila G Császár
- MTA-ELTE Complex Chemical Systems Research Group, P. O. Box 32, H-1518 Budapest 112, Hungary.
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Mandal S, Ghosh S, Sardar S, Adhikari S. The TDDVR approach for molecular photoexcitation, molecule–surface and triatomic reactive scattering processes. INT REV PHYS CHEM 2018. [DOI: 10.1080/0144235x.2018.1548103] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Affiliation(s)
- Souvik Mandal
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, India
| | - Sandip Ghosh
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, India
| | | | - Satrajit Adhikari
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur, India
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Sahoo T, Ghosh S, Adhikari S, Sharma R, Varandas AJC. Low-temperature D+ + H2 reaction: A time-dependent coupled wave-packet study in hyperspherical coordinates. J Chem Phys 2015; 142:024304. [DOI: 10.1063/1.4905379] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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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Influence of collision energy on the dynamics of the reaction H (2S) + NH (X3Σ−) → N (4S) + H2 (X1Σ g + ) by the state-to-state quantum mechanical study. Theor Chem Acc 2014. [DOI: 10.1007/s00214-014-1489-2] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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6
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Scattering resonance state of Br+HBr(v=0)→BrH(v′=0)+Br reaction explored by partial potential energy surface method. Chem Res Chin Univ 2013. [DOI: 10.1007/s40242-013-3254-9] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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7
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Yang X. Probing state-to-state reaction dynamics using H-atom Rydberg tagging time-of-flight spectroscopy. Phys Chem Chem Phys 2011; 13:8112-21. [DOI: 10.1039/c1cp00005e] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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8
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Wang H, Lu X, Sun X, Cai Z, Feng D. New calculation method on the lifetime of the reactive scattering resonance states. Chem Phys Lett 2007. [DOI: 10.1016/j.cplett.2007.06.005] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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9
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Abstract
The study of state-to-state dynamics of elementary bimolecular reactions has provided remarkable insights into chemical reactivity at the most fundamental level. This review covers exciting developments in this important field in the past decade. I focus on recent studies of quantum-state-resolved molecular-beam reactive-scattering studies of elementary chemical reactions, from triatomic to polyatomic systems. Researchers have made great advances in the fundamental understanding of many elementary chemical reactions through state-to-state dynamics studies. The strong interaction between theory and experiment has significantly enhanced our understanding of the dynamics of these reactions. I hope this review provides a glimpse of this exciting research field to both experts and beginners.
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Affiliation(s)
- Xueming Yang
- State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian, P.R. China.
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Keating JP, Novaes M, Prado SD, Sieber M. Semiclassical structure of chaotic resonance eigenfunctions. PHYSICAL REVIEW LETTERS 2006; 97:150406. [PMID: 17155305 DOI: 10.1103/physrevlett.97.150406] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/25/2006] [Indexed: 05/12/2023]
Abstract
We study the resonance (or Gamow) eigenstates of open chaotic systems in the semiclassical limit, distinguishing between left and right eigenstates of the nonunitary quantum propagator and also between short-lived and long-lived states. The long-lived left (right) eigenstates are shown to concentrate as variant Planck's over 2pi-->0 on the forward (backward) trapped set of the classical dynamics. The limit of a sequence of eigenstates [psi(variant Planck's over)] 2pi-->0 is found to exhibit a remarkably rich structure in phase space that depends on the corresponding limiting decay rate. These results are illustrated for the open baker's map, for which the probability density in position space is observed to have self-similarity properties.
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Affiliation(s)
- J P Keating
- School of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom
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Wang HY, Sun XM, Cai ZT, Feng DC. Theoretical Research on Scattering Resonance States of Reaction I+HI(=0)IH(=0)+I: Partial Potential Energy Surface and One-dimensional Quantum Reactive Scattering Calculation. CHINESE J CHEM PHYS 2006. [DOI: 10.1360/cjcp2006.19(5).411.5] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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12
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Babyuk D, Wyatt RE. Multidimensional reactive scattering with quantum trajectories: dynamics with Morse vibrational modes. J Chem Phys 2006; 125:64112. [PMID: 16942278 DOI: 10.1063/1.2218335] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The reactive scattering of a wave packet is studied by the quantum trajectory method for a model system with up to 25 Morse vibrational modes. The equations of motion are formulated in curvilinear reaction path coordinates with the restriction to a planar reaction path. Spatial derivatives are evaluated by the least squares method using contracted basis sets. Dynamical results, including trajectory evolution and time-dependent reaction probabilities, are presented and analyzed. For the case of one Morse vibrational mode, the results are in good agreement with those derived through direct numerical integration of the time-dependent Schrodinger equation.
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Affiliation(s)
- Dmytro Babyuk
- Department of Chemistry and Biochemistry, Institute for Theoretical Chemistry, The University of Texas, Austin, Texas 78712, USA
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Aoiz * FJ, BaÑares L, Herrero VJ. The H+H2reactive system. Progress in the study of the dynamics of the simplest reaction. INT REV PHYS CHEM 2005. [DOI: 10.1080/01442350500195659] [Citation(s) in RCA: 92] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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14
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Cabrera-Trujillo R, Öhrn Y, Deumens E, Sabin JR. Application of the END Theory to the H + D2 → HD + D Reaction. J Phys Chem A 2004. [DOI: 10.1021/jp0488517] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- R. Cabrera-Trujillo
- Quantum Theory Project, Departments of Physics and Chemistry, University of Florida, Gainesville, Florida 32611-8435
| | - Y. Öhrn
- Quantum Theory Project, Departments of Physics and Chemistry, University of Florida, Gainesville, Florida 32611-8435
| | - E. Deumens
- Quantum Theory Project, Departments of Physics and Chemistry, University of Florida, Gainesville, Florida 32611-8435
| | - J. R. Sabin
- Quantum Theory Project, Departments of Physics and Chemistry, University of Florida, Gainesville, Florida 32611-8435
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Abstract
Recent studies of state-resolved angular distributions show the participation of reactive scattering resonances in the simplest chemical reaction. This review is intended for those who wish to learn about the state-of-the-art in the study of the H + H2 reaction family that has made this breakthrough possible. This review is also intended for those who wish to gain insight into the nature of reactive scattering resonances. Following a tour across several fields of physics and chemistry where the concept of resonance has been crucial for the understanding of new phenomena, we offer an operational definition and taxonomy of reactive scattering resonances. We introduce simple intuitive models to illustrate each resonance type. We focus next on the last decade of H + H2 reaction dynamics. Emphasis is placed on the various experimental approaches that have been applied to the search for resonance behavior in the H + H2 reaction family. We conclude by sketching the road ahead in the study of H + H2 reactive scattering resonances.
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Affiliation(s)
- Félix Fernández-Alonso
- Istituto di Struttura della Materia-Consiglio Nazionale delle Ricerche, Area della Ricerca di Roma-Tor Vergata, 00133 Rome, Italy.
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Kuppermann A, Wu YS. Sensitivity of the geometric phase effect to resonances, the potential energy surface, the partial wave sum, and the energy. Chem Phys Lett 2001. [DOI: 10.1016/s0009-2614(01)01210-6] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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17
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Aoiz FJ, Bañares L, Castillo JF. On the existence of resonances in the H+D2→HD(v′=0,j′=7)+D reaction at collision energies 0.6–1.3 eV. J Chem Phys 2001. [DOI: 10.1063/1.1372333] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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18
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Liu K. Crossed-beam studies of neutral reactions: state-specific differential cross sections. Annu Rev Phys Chem 2001; 52:139-64. [PMID: 11326062 DOI: 10.1146/annurev.physchem.52.1.139] [Citation(s) in RCA: 201] [Impact Index Per Article: 8.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
Crossed-molecular-beam and laser techniques have enabled experimentalists to measure the state-resolved differential cross sections of elementary chemical reactions. This article reviews recent progress in this area. Particular emphasis is placed on some intriguing physical phenomena associated with a few benchmark reactions and how these measurements help in answering fundamental questions about reaction dynamics. We examine specifically the geometric phase effects in the reaction H + D2, the dynamical resonance phenomenon in F + HD, the unusually large spin-orbit reactivity in Cl((2)P) + H2, the insertion reaction O((1)D) + H2, and the mode-specific reactivity in Cl + CH4(nu). The give-and-take between experiment and theory in unraveling the physical picture of the dynamics is illustrated throughout this review.
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Affiliation(s)
- K Liu
- Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei, Taiwan 10764, Republic of China.
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20
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Bean BD, Fernández-Alonso F, Zare RN. Distribution of Rovibrational Product States for the “Prompt” Reaction H + D2(v = 0, j = 0−4) → HD(v‘ = 1,2, j‘) + D near 1.6 eV Collision Energy. J Phys Chem A 2001. [DOI: 10.1021/jp0027288] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Brian D. Bean
- Department of Chemistry, Stanford University, Stanford, California 94305
| | | | - Richard N. Zare
- Department of Chemistry, Stanford University, Stanford, California 94305
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Althorpe SC. Quantum wavepacket method for state-to-state reactive cross sections. J Chem Phys 2001. [DOI: 10.1063/1.1334866] [Citation(s) in RCA: 139] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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22
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Allison TC, Friedman RS, Kaufman DJ, Truhlar DG. Analysis of the resonance in H+D2→HD (ν′=3) + D. Chem Phys Lett 2000. [DOI: 10.1016/s0009-2614(00)00885-x] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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23
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Fernández-Alonso F, Bean B, Ayers J, Pomerantz A, Zare R, Bañares L, Aoiz F. Hinweise für Streuresonanzen in der Reaktion H+D2. Angew Chem Int Ed Engl 2000. [DOI: 10.1002/1521-3757(20000804)112:15<2860::aid-ange2860>3.0.co;2-5] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Affiliation(s)
- George C. Schatz
- The author is in the Department of Chemistry, Northwestern University, Evanston, IL 60208-3113, USA
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