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Karmakar S, Keshavamurthy S. Intramolecular vibrational energy redistribution and the quantum ergodicity transition: a phase space perspective. Phys Chem Chem Phys 2020; 22:11139-11173. [DOI: 10.1039/d0cp01413c] [Citation(s) in RCA: 26] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Abstract
The onset of facile intramolecular vibrational energy flow can be related to features in the connected network of anharmonic resonances in the classical phase space.
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Affiliation(s)
- Sourav Karmakar
- Department of Chemistry
- Indian Institute of Technology
- Kanpur
- India
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Karmakar S, Keshavamurthy S. Relevance of the Resonance Junctions on the Arnold Web to Dynamical Tunneling and Eigenstate Delocalization. J Phys Chem A 2018; 122:8636-8649. [PMID: 30289718 DOI: 10.1021/acs.jpca.8b08626] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We study the competition and correspondence between the classical and quantum routes to intramolecular vibrational energy redistribution (IVR) in a three degrees of freedom model effective Hamiltonian. Specifically, we focus on the classical and the quantum dynamics near the resonance junctions on the Arnold web that are formed by an intersection of independent resonances. The regime of interest models the IVR dynamics from highly excited initial states near dissociation thresholds of molecular systems wherein both classical and purely quantum, involving dynamical tunneling, routes to IVR coexist. In the vicinity of a resonance junction, classical chaos is inevitably present, and hence one expects the quantum IVR pathways to have a strong classical component as well. We show that with increasing resonant coupling strengths the classical component of IVR leads to a transition from coherent dynamical tunneling to incoherent dynamical tunneling. Furthermore, we establish that the quantum IVR dynamics can be predicted based on the structures on the classical Arnold web. In addition, we investigate the nature of the highly excited eigenstates to identify the quantum signatures of the multiplicity-2 junctions. For the parameter regimes studies herein, by projecting the eigenstates onto the Arnold web, we find that eigenstates in the vicinity of the junctions are primarily delocalized due to dynamical tunneling.
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Affiliation(s)
- Sourav Karmakar
- Department of Chemistry , Indian Institute of Technology , Kanpur , Uttar Pradesh 208 016 , India
| | - Srihari Keshavamurthy
- Department of Chemistry , Indian Institute of Technology , Kanpur , Uttar Pradesh 208 016 , India
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Keshavamurthy S. Eigenstates of Thiophosgene Near the Dissociation Threshold: Deviations From Ergodicity. J Phys Chem A 2013; 117:8729-36. [DOI: 10.1021/jp4033386] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Srihari Keshavamurthy
- Department
of Chemistry, Indian Institute of Technology, Kanpur, Uttar Pradesh 208016, India
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Mauguiere F, Rey M, Tyuterev V, Suarez J, Farantos SC. A periodic orbit bifurcation analysis of vibrationally excited isotopologues of sulfur dioxide and water molecules: symmetry breaking substitutions. J Phys Chem A 2010; 114:9836-47. [PMID: 20825241 DOI: 10.1021/jp1030569] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
Theoretical predictions and assignment of highly excited vibrational states and their organization is one of the most important challenges in molecular spectroscopy. A systematic procedure to investigate such problems is locating the principal families of periodic orbits that emanate from the stationary points of the molecule and then following their evolution with the total energy. This results in constructing continuation/bifurcation diagrams that assist in locating the critical bifurcation energies and to discover new types of vibrational modes. Another parameter that may influence the dynamics of a molecule is isotopic mass substitution. In this article, we investigate the effect of symmetry breaking by isotopic mass substitution of triatomic molecules with C(2v) symmetry in classical and quantum dynamics. Sulfur dioxide and water molecules in their ground electronic state are studied by employing accurate potential energy surfaces. Continuation/bifurcation diagrams of periodic orbits are constructed by varying the energy and the mass of one oxygen atom of sulfur dioxide and one hydrogen atom of a water molecule. The transition from normal-to-local mode vibrations is studied in terms of a pitchfork to a center-saddle elementary bifurcation of periodic orbits. The results presented in this article aim to help the assignment of experimentally obtained spectra.
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Affiliation(s)
- Frederic Mauguiere
- University of Reims, GSMA, Moulin de la Housse, B.P. 1039, 51067 Reims, France.
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Arranz FJ, Seidel L, Giralda CG, Benito RM, Borondo F. Scars at the edge of the transition from order to chaos in the isomerizing molecular systems LiNC-LiCN and HCN-HNC, and HO2. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2010; 82:026201. [PMID: 20866887 DOI: 10.1103/physreve.82.026201] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/07/2010] [Indexed: 05/29/2023]
Abstract
Correlation diagrams of energy levels using ℏ as the varying parameter have proven very useful in the characterization of quantum vibrational dynamics of small polyatomic molecules, specially in relation to the transition from order to chaos. In this paper, we present calculations of such correlation diagrams for three molecular systems with very different characteristics, which can be traced down to the topology of their potential energy surfaces. By studying the broad avoided crossings existing in the diagrams, we show that the transition from regular to irregular states always corresponds to a frontier formed by scarred states.
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Affiliation(s)
- F J Arranz
- Escuela Técnica Superior de Ingenieros Agrónomos, Universidad Politécnica de Madrid, Madrid, Spain
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Diaz A, Jung C. Assignment and simplified Hamiltonian for molecular vibrations obtained by an improved diabatic correlation method. Mol Phys 2010. [DOI: 10.1080/00268970903496645] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- A. Diaz
- a Instituto de Matematicas, Unidad Cuernavaca
| | - C. Jung
- b Instituto de Ciencias Fisicas, Universidad Nacional Autonoma de Mexico , Apdo. postal 139-B, 62191, Cuernavaca, Mexico
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Farantos SC, Schinke R, Guo H, Joyeux M. Energy Localization in Molecules, Bifurcation Phenomena, and Their Spectroscopic Signatures: The Global View. Chem Rev 2009; 109:4248-71. [DOI: 10.1021/cr900069m] [Citation(s) in RCA: 64] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Stavros C. Farantos
- Institute of Electronic Structure and Laser, Foundation for Research and Technology—Hellas, and Department of Chemistry, University of Crete, Iraklion 711 10, Crete, Greece, Max-Planck-Institut für Dynamik und Selbstorganisation, D-37073 Göttingen, Germany, Department of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, New Mexico 87131, and Laboratoire de Spectrométrie Physique, Université Joseph Fourier—Grenoble I, BP 87, F-38402, St. Martin d’Heres Cedex, France
| | - Reinhard Schinke
- Institute of Electronic Structure and Laser, Foundation for Research and Technology—Hellas, and Department of Chemistry, University of Crete, Iraklion 711 10, Crete, Greece, Max-Planck-Institut für Dynamik und Selbstorganisation, D-37073 Göttingen, Germany, Department of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, New Mexico 87131, and Laboratoire de Spectrométrie Physique, Université Joseph Fourier—Grenoble I, BP 87, F-38402, St. Martin d’Heres Cedex, France
| | - Hua Guo
- Institute of Electronic Structure and Laser, Foundation for Research and Technology—Hellas, and Department of Chemistry, University of Crete, Iraklion 711 10, Crete, Greece, Max-Planck-Institut für Dynamik und Selbstorganisation, D-37073 Göttingen, Germany, Department of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, New Mexico 87131, and Laboratoire de Spectrométrie Physique, Université Joseph Fourier—Grenoble I, BP 87, F-38402, St. Martin d’Heres Cedex, France
| | - Marc Joyeux
- Institute of Electronic Structure and Laser, Foundation for Research and Technology—Hellas, and Department of Chemistry, University of Crete, Iraklion 711 10, Crete, Greece, Max-Planck-Institut für Dynamik und Selbstorganisation, D-37073 Göttingen, Germany, Department of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, New Mexico 87131, and Laboratoire de Spectrométrie Physique, Université Joseph Fourier—Grenoble I, BP 87, F-38402, St. Martin d’Heres Cedex, France
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