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Abstract
The topological properties of an object, associated with an integer called the topological invariant, are global features that cannot change continuously but only through abrupt variations, hence granting them intrinsic robustness. Engineered metamaterials (MMs) can be tailored to support highly nontrivial topological properties of their band structure, relative to their electronic, electromagnetic, acoustic and mechanical response, representing one of the major breakthroughs in physics over the past decade. Here, we review the foundations and the latest advances of topological photonic and phononic MMs, whose nontrivial wave interactions have become of great interest to a broad range of science disciplines, such as classical and quantum chemistry. We first introduce the basic concepts, including the notion of topological charge and geometric phase. We then discuss the topology of natural electronic materials, before reviewing their photonic/phononic topological MM analogues, including 2D topological MMs with and without time-reversal symmetry, Floquet topological insulators, 3D, higher-order, non-Hermitian and nonlinear topological MMs. We also discuss the topological aspects of scattering anomalies, chemical reactions and polaritons. This work aims at connecting the recent advances of topological concepts throughout a broad range of scientific areas and it highlights opportunities offered by topological MMs for the chemistry community and beyond.
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Affiliation(s)
- Xiang Ni
- Photonics Initiative, Advanced Science Research Center, City University of New York, New York, New York 10031, United States
- School of Physics and Electronics, Central South University, Changsha, Hunan 410083, China
| | - Simon Yves
- Photonics Initiative, Advanced Science Research Center, City University of New York, New York, New York 10031, United States
| | - Alex Krasnok
- Department of Electrical and Computer Engineering, Florida International University, Miami, Florida 33174, USA
| | - Andrea Alù
- Photonics Initiative, Advanced Science Research Center, City University of New York, New York, New York 10031, United States
- Department of Electrical Engineering, City College, The City University of New York, 160 Convent Avenue, New York, New York 10031, United States
- Physics Program, The Graduate Center, The City University of New York, 365 Fifth Avenue, New York, New York 10016, United States
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2
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Malbon CL, Zhu X, Guo H, Yarkony DR. On the incorporation of the geometric phase in general single potential energy surface dynamics: A removable approximation to ab initio data. J Chem Phys 2016; 145:234111. [DOI: 10.1063/1.4971369] [Citation(s) in RCA: 24] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
| | - Xiaolei Zhu
- Department of Chemistry, Stanford University, Stanford, California 94305, USA
| | - Hua Guo
- Department of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, New Mexico 87131, USA
| | - David R. Yarkony
- Department of Chemistry, Johns Hopkins University, Baltimore, Maryland 21218, USA
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3
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Abstract
This Perspective addresses the use of coupled diabatic potential energy surfaces (PESs) together with rigorous quantum dynamics in full or reduced dimensional coordinate spaces to obtain accurate solutions to problems in nonadiabatic dynamics.
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Affiliation(s)
- Hua Guo
- Department of Chemistry and Chemical Biology
- University of New Mexico
- Albuquerque
- USA
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4
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Matis JR, Schönborn JB, Saalfrank P. A multi-reference study of the byproduct formation for a ring-closed dithienylethene photoswitch. Phys Chem Chem Phys 2015; 17:14088-95. [DOI: 10.1039/c5cp00987a] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Abstract
Description of a ground state reaction path for the formation of a detrimental byproduct in the photo reaction of dithienylethene.
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5
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Al-Jabour S, Baer M, Deeb O, Leibscher M, Manz J, Xu X, Zilberg S. Molecular Symmetry Properties of Conical Intersections and Nonadiabatic Coupling Terms: Theory and Quantum Chemical Demonstration for Cyclopenta-2,4-dienimine (C5H4NH). J Phys Chem A 2009; 114:2991-3010. [DOI: 10.1021/jp905038t] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- S. Al-Jabour
- Institut für Chemie und Biochemie, Freie Universität Berlin, Germany, Faculty of Pharmacy, Al-Quds University, Palestine, The Fritz Haber Center for Molecular Dynamics, The Hebrew University of Jerusalem, Israel, and Department of Physical Chemistry and the Farkas Center for Light Induced Processes, The Hebrew University of Jerusalem, Israel
| | - M. Baer
- Institut für Chemie und Biochemie, Freie Universität Berlin, Germany, Faculty of Pharmacy, Al-Quds University, Palestine, The Fritz Haber Center for Molecular Dynamics, The Hebrew University of Jerusalem, Israel, and Department of Physical Chemistry and the Farkas Center for Light Induced Processes, The Hebrew University of Jerusalem, Israel
| | - O. Deeb
- Institut für Chemie und Biochemie, Freie Universität Berlin, Germany, Faculty of Pharmacy, Al-Quds University, Palestine, The Fritz Haber Center for Molecular Dynamics, The Hebrew University of Jerusalem, Israel, and Department of Physical Chemistry and the Farkas Center for Light Induced Processes, The Hebrew University of Jerusalem, Israel
| | - M. Leibscher
- Institut für Chemie und Biochemie, Freie Universität Berlin, Germany, Faculty of Pharmacy, Al-Quds University, Palestine, The Fritz Haber Center for Molecular Dynamics, The Hebrew University of Jerusalem, Israel, and Department of Physical Chemistry and the Farkas Center for Light Induced Processes, The Hebrew University of Jerusalem, Israel
| | - J. Manz
- Institut für Chemie und Biochemie, Freie Universität Berlin, Germany, Faculty of Pharmacy, Al-Quds University, Palestine, The Fritz Haber Center for Molecular Dynamics, The Hebrew University of Jerusalem, Israel, and Department of Physical Chemistry and the Farkas Center for Light Induced Processes, The Hebrew University of Jerusalem, Israel
| | - X. Xu
- Institut für Chemie und Biochemie, Freie Universität Berlin, Germany, Faculty of Pharmacy, Al-Quds University, Palestine, The Fritz Haber Center for Molecular Dynamics, The Hebrew University of Jerusalem, Israel, and Department of Physical Chemistry and the Farkas Center for Light Induced Processes, The Hebrew University of Jerusalem, Israel
| | - S. Zilberg
- Institut für Chemie und Biochemie, Freie Universität Berlin, Germany, Faculty of Pharmacy, Al-Quds University, Palestine, The Fritz Haber Center for Molecular Dynamics, The Hebrew University of Jerusalem, Israel, and Department of Physical Chemistry and the Farkas Center for Light Induced Processes, The Hebrew University of Jerusalem, Israel
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6
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Anderson JB. Quantum Monte Carlo: Atoms, Molecules, Clusters, Liquids, and Solids. REVIEWS IN COMPUTATIONAL CHEMISTRY 2007. [DOI: 10.1002/9780470125908.ch3] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/11/2023]
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7
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Koszinowski K, Goldberg NT, Pomerantz AE, Zare RN, Juanes-Marcos JC, Althorpe SC. Collision-energy dependence of HD(ν′=1,j′) product rotational distributions for the H+D2 reaction. J Chem Phys 2005; 123:054306. [PMID: 16108638 DOI: 10.1063/1.1978871] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Product rotational distributions for the reaction H + D2 --> HD(nu'=1,j') + D have been measured for 16 collision energies in the range of 1.43 < or = E(coll) < or = 2.55 eV. Time-dependent quantum-mechanical calculations agree well in general with the experimental results, but they consistently yield slightly colder distributions. In terms of the average energy channeled into rotation, the differences between experiment and theory amount to approximately 10% for all collision energies sampled. No peculiarity is found for E(coll)=2.55 eV at which the system has sufficient energy to access the first HD2 electronically excited state.
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Affiliation(s)
- Konrad Koszinowski
- Department of Chemistry, Stanford University, Stanford, California 94305-5080, USA
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9
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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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10
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Mahapatra * S. Quantum non-adiabatic dynamics through conical intersections: Spectroscopy to reactive scattering. INT REV PHYS CHEM 2004. [DOI: 10.1080/01442350500037455] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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11
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Kendrick BK. Geometric Phase Effects in Chemical Reaction Dynamics and Molecular Spectra. J Phys Chem A 2003. [DOI: 10.1021/jp021865x] [Citation(s) in RCA: 100] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Brian K. Kendrick
- Theoretical Division (T-12, MS-B268), Los Alamos National Laboratory, Los Alamos, New Mexico 87545
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12
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Chao SD, Harich SA, Xu Dai D, Wang CC, Yang X, Skodje RT. A fully state- and angle-resolved study of the H+HD→D+H2 reaction: Comparison of a molecular beam experiment to ab initio quantum reaction dynamics. J Chem Phys 2002. [DOI: 10.1063/1.1504083] [Citation(s) in RCA: 55] [Impact Index Per Article: 2.5] [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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Mebel AM, Halász GJ, Vibók Á, Alijah A, Baer M. Quantization of the 3×3 nonadiabatic coupling matrix for three coupled states of the C2H molecule. J Chem Phys 2002. [DOI: 10.1063/1.1483854] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023] Open
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15
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González M, Oliva C, Sayós R. The lowest doublet and quartet potential energy surfaces involved in the N(4S)+O2 reaction. II. Ab initio study of the C2v-symmetry insertion mechanism. J Chem Phys 2002. [DOI: 10.1063/1.1484384] [Citation(s) in RCA: 16] [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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16
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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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17
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Bean BD, Ayers JD, Fernández-Alonso F, Zare RN. State-resolved differential and integral cross sections for the reaction H+D2→HD(v′=3,j′=0–7)+D at 1.64 eV collision energy. J Chem Phys 2002. [DOI: 10.1063/1.1462576] [Citation(s) in RCA: 37] [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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18
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Mielke SL, Garrett BC, Peterson KA. A hierarchical family of global analytic Born–Oppenheimer potential energy surfaces for the H+H2 reaction ranging in quality from double-zeta to the complete basis set limit. J Chem Phys 2002. [DOI: 10.1063/1.1432319] [Citation(s) in RCA: 119] [Impact Index Per Article: 5.4] [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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Abrol R, Kuppermann A. An optimal adiabatic-to-diabatic transformation of the 1 2A′ and 2 2A′ states of H3. J Chem Phys 2002. [DOI: 10.1063/1.1419257] [Citation(s) in RCA: 83] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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20
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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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22
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Abrol R, Shaw A, Kuppermann A, Yarkony DR. Accurate first-derivative nonadiabatic couplings for the H3 system. J Chem Phys 2001. [DOI: 10.1063/1.1390510] [Citation(s) in RCA: 59] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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23
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Mebel AM, Baer M, Rozenbaum VM, Lin SH. Ab initio study of nonadiabatic coupling matrix elements between excited 22A′ and 32A′ electronic states of C2H. Chem Phys Lett 2001. [DOI: 10.1016/s0009-2614(01)00110-5] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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24
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Xu ZR, Varandas AJC. Vibrational Calculations for the HD2 First-Excited Electronic State Using a Coordinate-Transformation Technique. J Phys Chem A 2001. [DOI: 10.1021/jp0033364] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
Affiliation(s)
- Z. R. Xu
- Departamento de Química, Universidade de Coimbra, P-3049 Coimbra Codex, Portugal
| | - A. J. C. Varandas
- Departamento de Química, Universidade de Coimbra, P-3049 Coimbra Codex, Portugal
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26
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27
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28
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Senba M, Fleming DG, Arseneau DJ, Mayne HR. Hot atom reaction yields in Mu*+H2 and T*+H2 from quasiclassical trajectory cross sections on the Liu–Siegbahn–Truhlar–Horowitz surface. J Chem Phys 2000. [DOI: 10.1063/1.481558] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.8] [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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30
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Varandas AJC, Xu ZR. Nuclear dynamics in the vicinity of the crossing seam: Theory and application to vibrational spectrum of H3. J Chem Phys 2000. [DOI: 10.1063/1.480823] [Citation(s) in RCA: 43] [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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31
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Varandas AJC. Multivalued Potential Energy Surfaces for Dynamics Studies. LECTURE NOTES IN CHEMISTRY 2000. [DOI: 10.1007/978-3-642-57051-3_3] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
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32
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Yarkony DR. Perspective on “Some recent developments in the theory of molecular energy levels”. Theor Chem Acc 2000. [DOI: 10.1007/978-3-662-10421-7_24] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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33
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Fukumoto Y, Koizumi H, Makoshi K. Location of conical intersections by the Pancharatnam connection and the sign-change theorem of Longuet-Higgins: a model calculation with the H4 potential surface. Chem Phys Lett 1999. [DOI: 10.1016/s0009-2614(99)01052-0] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
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34
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Abstract
▪ Abstract This article reviews recent progress in our understanding of gas-phase neutral reaction dynamics as made possible by improvements in the crossed molecular beam scattering technique for measuring reactive differential cross sections. A selection of crossed-beam studies on systems that play a fundamental role in our basic understanding of reaction phenomena are discussed to illustrate the capabilities of the experimental method. The examples include benchmark atom-diatom abstraction and insertion reactions, and four-atom radical reactions for which state-to-state, state-resolved, or state-averaged differential cross sections have recently been measured. The results are discussed in the light of the latest related theoretical developments regarding the treatment of potential energy surfaces and the dynamics of the systems. Recent results on crossed-beam studies of chemically relevant reactions of carbon, nitrogen, and oxygen atoms are also reviewed, and the latest developments in the technique are noted.
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Affiliation(s)
- P Casavecchia
- Dipartimento di Chimica, Università di Perugia, 06123 Perugia, Italy.
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35
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Fernández-Alonso F, Bean BD, Zare RN. Differential cross sections for H+D2→HD (v′=2, J′=0,3,5)+D at 1.55 eV. J Chem Phys 1999. [DOI: 10.1063/1.479527] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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36
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Fernández-Alonso F, Bean BD, Zare RN. Differential cross sections for H+D2→HD(v′=1, J′=1,5,8)+D at 1.7 eV. J Chem Phys 1999. [DOI: 10.1063/1.479191] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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37
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Fernández-Alonso F, Bean BD, Zare RN. Measurement of the HD(v′=2,J′=3) product differential cross section for the H+D2 exchange reaction at 1.55±0.05 eV using the photoloc technique. J Chem Phys 1999. [DOI: 10.1063/1.479294] [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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38
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Kennedy S, Dharmesena K, Moser S, Auzinsh M, Shafer-Ray NE. A method to obtain meV-collision-energy resolution in scattering studies: application to the H+D2→HD(ν′=0,j′)+D(θrel<80°) reaction at Erel=1.275±0.011 eV. Chem Phys 1999. [DOI: 10.1016/s0301-0104(99)00139-1] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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39
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Wrede E, Schnieder L, Welge KH, Aoiz FJ, Bañares L, Castillo JF, Martı́nez-Haya B, Herrero VJ. The dynamics of the hydrogen exchange reaction at 2.20 eV collision energy: Comparison of experimental and theoretical differential cross sections. J Chem Phys 1999. [DOI: 10.1063/1.478870] [Citation(s) in RCA: 79] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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40
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Adhikari S, Billing GD. Hermite correction method in hyperspherical coordinates: Application to chemical reactions. Chem Phys Lett 1999. [DOI: 10.1016/s0009-2614(99)00324-3] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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41
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VARANDAS AJC, YU HG, XU ZR. Vibrational spectrum of ground state Li3and statistical analysis of the energy levels. Mol Phys 1999. [DOI: 10.1080/00268979909483064] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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42
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Atchity GJ, Ruedenberg K. A local understanding of the quantum chemical geometric phase theorem in terms of diabatic states. J Chem Phys 1999. [DOI: 10.1063/1.478302] [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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43
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Jäckle A, Heitz MC, Meyer HD. Reaction cross sections for the H+D2(ν=0,1) system for collision energies up to 2.5 eV: A multiconfiguration time-dependent Hartree wave-packet propagation study. J Chem Phys 1999. [DOI: 10.1063/1.478099] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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44
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45
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Billing GD, Kuppermann A. On the geometric phase effect on tetra-atomic reactions: the OH+H2→H2O+H reaction. Chem Phys Lett 1998. [DOI: 10.1016/s0009-2614(98)00841-0] [Citation(s) in RCA: 3] [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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46
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Mahapatra S, Köppel H. Spectra and time-dependent dynamics of H3 near the conical intersection in the (2p)1E′ ground electronic manifold. J Chem Phys 1998. [DOI: 10.1063/1.476746] [Citation(s) in RCA: 55] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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47
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Adhikari S, Billing GD. The geometric phase effect on differential cross sections in chemical reactions: a classical mechanical approach. Chem Phys Lett 1998. [DOI: 10.1016/s0009-2614(98)00300-5] [Citation(s) in RCA: 13] [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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48
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Adhikari S, Billing GD. A classical mechanical study of the geometric phase effect in chemical reactions. Chem Phys Lett 1998. [DOI: 10.1016/s0009-2614(97)01374-2] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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49
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Kuppermann A. Reactive Scattering with Row-Orthonormal Hyperspherical Coordinates. 2. Transformation Properties and Hamiltonian for Tetraatomic Systems. J Phys Chem A 1997. [DOI: 10.1021/jp9708207] [Citation(s) in RCA: 46] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Aron Kuppermann
- Arthur Amos Noyes Laboratory of Chemical Physics, Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125
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Wrede E, Schnieder L. On the appearance of resonances in reactive scattering: An experimental study of the H+D2→HD+D reaction at collision energies near 1.29 eV. J Chem Phys 1997. [DOI: 10.1063/1.474378] [Citation(s) in RCA: 62] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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