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Shan X, Xiahou C, Connor JNL. Rainbows, supernumerary rainbows and interference effects in the angular scattering of chemical reactions: an investigation using Heisenberg's S matrix programme. Phys Chem Chem Phys 2018; 20:819-836. [DOI: 10.1039/c7cp06654f] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Rainbow and supernumerary rainbow in the angular scattering of a state-to-state chemical reaction.
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Affiliation(s)
- Xiao Shan
- School of Chemistry
- The University of Manchester
- Manchester M13 9PL
- UK
| | - Chengkui Xiahou
- School of Pharmacy
- Qilu Medical University
- Zibo 255213
- People's Republic of China
| | - J. N. L. Connor
- School of Chemistry
- The University of Manchester
- Manchester M13 9PL
- UK
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2
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Wu H, Yao CX, He XH, Zhang PY. State-resolved differential and integral cross sections for the Ne + H2 (+) (v = 0-2, j = 0) → NeH(+) + H reaction. J Chem Phys 2016; 144:184301. [PMID: 27179478 DOI: 10.1063/1.4947014] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
State-to-state quantum dynamic calculations for the proton transfer reaction Ne + H2 (+) (v = 0-2, j = 0) are performed on the most accurate LZHH potential energy surface, with the product Jacobi coordinate based time-dependent wave packet method including the Coriolis coupling. The J = 0 reaction probabilities for the title reaction agree well with previous results in a wide range of collision energy of 0.2-1.2 eV. Total integral cross sections are in reasonable agreement with the available experiment data. Vibrational excitation of the reactant is much more efficient in enhancing the reaction cross sections than translational and rotational excitation. Total differential cross sections are found to be forward-backward peaked with strong oscillations, which is the indication of the complex-forming mechanism. As the collision energy increases, state-resolved differential cross section changes from forward-backward symmetric peaked to forward scattering biased. This forward bias can be attributed to the larger J partial waves, which makes the reaction like an abstraction process. Differential cross sections summed over two different sets of J partial waves for the v = 0 reaction at the collision energy of 1.2 eV are plotted to illustrate the importance of large J partial waves in the forward bias of the differential cross sections.
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Affiliation(s)
- Hui Wu
- State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, University of Chinese Academy of Sciences, Dalian 116023, China
| | - Cui-Xia Yao
- State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, University of Chinese Academy of Sciences, Dalian 116023, China
| | - Xiao-Hu He
- State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, University of Chinese Academy of Sciences, Dalian 116023, China
| | - Pei-Yu Zhang
- State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, University of Chinese Academy of Sciences, Dalian 116023, China
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Fleming DG, Arseneau DJ, Sukhorukov O, Brewer JH, Mielke SL, Truhlar DG, Schatz GC, Garrett BC, Peterson KA. Kinetics of the reaction of the heaviest hydrogen atom with H2, the4Heμ + H2→4HeμH + H reaction: Experiments, accurate quantal calculations, and variational transition state theory, including kinetic isotope effects for a factor of 36.1 in isotopic mass. J Chem Phys 2011; 135:184310. [DOI: 10.1063/1.3657440] [Citation(s) in RCA: 33] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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5
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Totenhofer AJ, Noli C, Connor JNL. Dynamics of the I + HI → IH + I reaction: application of nearside–farside, local angular momentum and resummation theories using the Fuller and Hatchell decompositions. Phys Chem Chem Phys 2010; 12:8772-91. [DOI: 10.1039/c003374j] [Citation(s) in RCA: 36] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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6
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De Fazio D, Cavalli S, Aquilanti V, Buchachenko AA, Tscherbul TV. On the Role of Scattering Resonances in the F + HD Reaction Dynamics. J Phys Chem A 2007; 111:12538-49. [DOI: 10.1021/jp0759473] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- D. De Fazio
- Dipartimento di Chimica, Università di Perugia, 06123 Perugia, Italy, Istituto di Metodologie Inorganiche e dei Plasmi - C.N.R., 70126 Bari, Italy, Laboratory of Molecular Structure and Quantum Mechanics, Department of Chemistry, Moscow State University, 119992 Moscow, Russia, and Department of Chemistry, University of British Columbia, V6T 1Z1, Vancouver, Canada
| | - S. Cavalli
- Dipartimento di Chimica, Università di Perugia, 06123 Perugia, Italy, Istituto di Metodologie Inorganiche e dei Plasmi - C.N.R., 70126 Bari, Italy, Laboratory of Molecular Structure and Quantum Mechanics, Department of Chemistry, Moscow State University, 119992 Moscow, Russia, and Department of Chemistry, University of British Columbia, V6T 1Z1, Vancouver, Canada
| | - V. Aquilanti
- Dipartimento di Chimica, Università di Perugia, 06123 Perugia, Italy, Istituto di Metodologie Inorganiche e dei Plasmi - C.N.R., 70126 Bari, Italy, Laboratory of Molecular Structure and Quantum Mechanics, Department of Chemistry, Moscow State University, 119992 Moscow, Russia, and Department of Chemistry, University of British Columbia, V6T 1Z1, Vancouver, Canada
| | - A. A. Buchachenko
- Dipartimento di Chimica, Università di Perugia, 06123 Perugia, Italy, Istituto di Metodologie Inorganiche e dei Plasmi - C.N.R., 70126 Bari, Italy, Laboratory of Molecular Structure and Quantum Mechanics, Department of Chemistry, Moscow State University, 119992 Moscow, Russia, and Department of Chemistry, University of British Columbia, V6T 1Z1, Vancouver, Canada
| | - T. V. Tscherbul
- Dipartimento di Chimica, Università di Perugia, 06123 Perugia, Italy, Istituto di Metodologie Inorganiche e dei Plasmi - C.N.R., 70126 Bari, Italy, Laboratory of Molecular Structure and Quantum Mechanics, Department of Chemistry, Moscow State University, 119992 Moscow, Russia, and Department of Chemistry, University of British Columbia, V6T 1Z1, Vancouver, Canada
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Sokolovski D, De Fazio D, Cavalli S, Aquilanti V. Overlapping resonances and Regge oscillations in the state-to-state integral cross sections of the F+H2 reaction. J Chem Phys 2007; 126:121101. [PMID: 17411100 DOI: 10.1063/1.2718947] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A Regge pole analysis is employed to explain the oscillatory patterns observed in numerical simulations of integral cross section for the F+H(2)(v=0,j=0)-->HF(v(')=2,j(')=0)+H reaction in the translational collision energy range 25-50 meV. In this range the integral cross section for the transition, affected by two overlapping resonances, shows nearly sinusoidal oscillations below 38 meV and a more structured oscillatory pattern at larger energies. The two types of oscillations are related to the two Regge trajectories which (pseudo) cross near the energy where the resonances are aligned. Simple estimates are given for the periods of the oscillations.
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Affiliation(s)
- D Sokolovski
- School of Mathematics and Physics, Queen's University of Belfast, BT7 1NN, Belfast, United Kingdom.
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Abstract
This paper is an overview of the theory of reactive scattering, with emphasis on fully quantum mechanical theories that have been developed to describe simple chemical reactions, especially atom-diatom reactions. We also describe related quasiclassical trajectory applications, and in all of this review the emphasis is on methods and applications concerned with state-resolved reaction dynamics. The review first provides an overview of the development of the theory, including a discussion of computational methods based on coupled channel calculations, variational methods, and wave packet methods. Choices of coordinates, including the use of hyperspherical coordinates are discussed, as are basis set and discrete variational representations. The review also summarizes a number of applications that have been performed, especially the two most comprehensively studied systems, H+H2 and F+H2, along with brief discussions of a large number of other systems, including other hydrogen atom transfer reactions, insertion reactions, electronically nonadiabatic reactions, and reactions involving four or more atoms. For each reaction we describe the method used and important new physical insight extracted from the results.
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Affiliation(s)
- Wenfang Hu
- Department of Chemistry, Northwestern University, Evanston, Illinois 60208-3113, USA
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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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Zhou J, Lin JJ, Liu K. Observation of a reactive resonance in the integral cross section of a six-atom reaction: F+CHD3. J Chem Phys 2004; 121:813-8. [PMID: 15260609 DOI: 10.1063/1.1761051] [Citation(s) in RCA: 68] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The title reaction was investigated under crossed-beam conditions at collisional energies ranging from about 0.4 to 7.5 kcal/mol. Product velocity distributions were measured by a time-sliced, velocity-map imaging technique to explicitly account for the density-to-flux transformation factors. Both the state-resolved, pair-correlated excitation functions and vibrational branching ratios are presented for the two isotopic product channels. An intriguing resonance tunneling mechanism occurring near the reaction threshold for the HF+CD3 product channel is surmized, which echoes the reactive resonances found previously for the F+HD-->HF+D reaction and more recently for the F+CH4 reaction.
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Affiliation(s)
- Jingang Zhou
- The Institute of Atomic and Molecular Sciences (IAMS), Academia Sinica, P.O. Box 23-166, Taipei, Taiwan 106
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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: 1.2] [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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Chatfield DC, Mielke SL, Allison TC, Truhlar DG. Quantized dynamical bottlenecks and transition state control of the reaction of D with H2: Effect of varying the total angular momentum. J Chem Phys 2000. [DOI: 10.1063/1.481443] [Citation(s) in RCA: 37] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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13
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Skodje RT, Skouteris D, Manolopoulos DE, Lee SH, Dong F, Liu K. Observation of a transition state resonance in the integral cross section of the F+HD reaction. J Chem Phys 2000. [DOI: 10.1063/1.481041] [Citation(s) in RCA: 175] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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14
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Nobusada K, Tolstikhin OI, Nakamura H. Quantum reaction dynamics of Cl+HCl→HCl+Cl: vibrationally non-adiabatic reactions. ACTA ACUST UNITED AC 1999. [DOI: 10.1016/s0166-1280(98)00443-6] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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Chang J, Brown NJ. Quantum Functional Sensitivity Analysis of the D + H2 Reaction Rate Coefficient via the Separable Rotation Approximation. ACTA ACUST UNITED AC 1996. [DOI: 10.1021/jp9618690] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Johnny Chang
- Energy and Environment Division, Ernest Orlando Lawrence Berkeley National Laboratory, University of California, Berkeley, California 94720
| | - Nancy J. Brown
- Energy and Environment Division, Ernest Orlando Lawrence Berkeley National Laboratory, University of California, Berkeley, California 94720
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Mielke SL, Allison TC, Truhlar DG, Schwenke DW. Quantum Mechanical Rate Coefficients for the Cl + H2 Reaction. ACTA ACUST UNITED AC 1996. [DOI: 10.1021/jp960782b] [Citation(s) in RCA: 61] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022]
Affiliation(s)
- Steven L. Mielke
- Department of Chemistry, Chemical Physics Program, and Supercomputer Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431
| | - Thomas C. Allison
- Department of Chemistry, Chemical Physics Program, and Supercomputer Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431
| | - Donald G. Truhlar
- Department of Chemistry, Chemical Physics Program, and Supercomputer Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431
| | - David W. Schwenke
- NASA Ames Research Center, Mail Stop 230-3, Moffett Field, California 94035-1000
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Sokolovski D, Connor J, Schatz G. Centrifugal-sudden hyperspherical study of Cl + HCl → ClH + Cl reaction dynamics on ‘tight-bend’ and ‘loose-bend’ potential energy surfaces. Chem Phys 1996. [DOI: 10.1016/0301-0104(96)00023-7] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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18
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Sokolovski D, Connor JNL, Schatz GC. Complex angular momentum analysis of resonance scattering in the Cl+HCl→ClH+Cl reaction. J Chem Phys 1995. [DOI: 10.1063/1.470427] [Citation(s) in RCA: 51] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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19
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Zhao Z, Chapman WB, Nesbitt DJ. State‐resolved rotational energy transfer in open shell collisions: Cl(2P3/2)+HCl. J Chem Phys 1995. [DOI: 10.1063/1.469098] [Citation(s) in RCA: 11] [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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New uniform semiclassical theory of resonance angular scattering for reactive molecular collisions. Chem Phys Lett 1995. [DOI: 10.1016/0009-2614(95)00397-5] [Citation(s) in RCA: 35] [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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21
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On the role of π hydrogenic states in low energy IH (v=0)+I collisions. Converged state-to-state cross sections. Chem Phys 1994. [DOI: 10.1016/0301-0104(93)e0352-v] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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Mielke SL, Lynch GC, Truhlar DG, Schwenke DW. A separable rotation approximation for the calculation of chemical reaction rates. Chem Phys Lett 1993. [DOI: 10.1016/0009-2614(93)90124-j] [Citation(s) in RCA: 24] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Baram A, Last I, Baer M. Quantum-mechanical cross sections for the D + H2 and H + D2 reactive systems. Application of the negative imaginary potentials within the jz approximation. Chem Phys Lett 1993. [DOI: 10.1016/0009-2614(93)85499-e] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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24
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Aker PM, Fulmer JP. Cl’+HCl(v=1,j=3)→Cl’H(v’,j’)+Cl reaction dynamics over an extended collision energy range. J Chem Phys 1993. [DOI: 10.1063/1.466219] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Connor J, McCabe P, Sokolovski D, Schatz G. Nearside—farside analysis of angular scattering in elastic, inelastic and reactive molecular collisions. Chem Phys Lett 1993. [DOI: 10.1016/0009-2614(93)85527-u] [Citation(s) in RCA: 42] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Grayce BB, Skodje RT, Hutson JM. Physical origin of oscillations in the three‐dimensional collision amplitudes of heavy–light–heavy systems. Semiclassical quantization of chaotic scattering. J Chem Phys 1993. [DOI: 10.1063/1.464020] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Vincent M, Connor J, Gordon MS, Schatz GC. Ab initio electronic structure calculations of stationary points and barrier heights for the ClHCl and HCl2 systems. Chem Phys Lett 1993. [DOI: 10.1016/0009-2614(93)85591-b] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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28
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Jakubetz W, Sokolovski D, Connor JNL, Schatz GC. Comparison of quasiclassical and quantum dynamics for resonance scattering in the Cl+HCl→ClH+Cl reaction. J Chem Phys 1992. [DOI: 10.1063/1.463703] [Citation(s) in RCA: 21] [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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29
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Fulmer JP, Aker PM. Competition between exchange and inelastic T→V, R in Cl+HCl collisions. J Chem Phys 1992. [DOI: 10.1063/1.462818] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023] Open
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Nakamura M. Rotational transitions in O(3P)+H2(HD,DH,D2) reaction: Roles of coordinate transformation and rotationally inelastic half collisions for product distributions. J Chem Phys 1992. [DOI: 10.1063/1.462020] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Richard-Viard M, Nguyen Vien G, Kubach C. State-to-state cross sections for low-energy IH (ν = 0 + I collisions. Chem Phys Lett 1992. [DOI: 10.1016/0009-2614(92)80860-e] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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