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Herman M, Perry DS. Molecular spectroscopy and dynamics: a polyad-based perspective. Phys Chem Chem Phys 2013; 15:9970-93. [DOI: 10.1039/c3cp50463h] [Citation(s) in RCA: 45] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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2
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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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Mauguiere F, Tyuterev V, Farantos SC. Bifurcation effects and patterns in the vibrational excited states of isotopically substituted water. Chem Phys Lett 2010. [DOI: 10.1016/j.cplett.2010.06.027] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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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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Manikandan P, Semparithi A, Keshavamurthy S. Decoding the Dynamical Information Embedded in Highly Excited Vibrational Eigenstates: State Space and Phase Space Viewpoints. J Phys Chem A 2009; 113:1717-30. [DOI: 10.1021/jp807231p] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Paranjothy Manikandan
- Department of Chemistry, Indian Institute of Technology, Kanpur, Uttar Pradesh 208016, India
| | - Aravindan Semparithi
- Department of Chemistry, Indian Institute of Technology, Kanpur, Uttar Pradesh 208016, India
| | - Srihari Keshavamurthy
- Department of Chemistry, Indian Institute of Technology, Kanpur, Uttar Pradesh 208016, India
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Barr AM, Na K, Reichl LE, Jung C. Chaotic scattering in a molecular system. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2009; 79:026215. [PMID: 19391828 DOI: 10.1103/physreve.79.026215] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/07/2008] [Indexed: 05/27/2023]
Abstract
We study the classical dynamics of bound state and scattering trajectories of the chlorine atom interacting with the HO molecule using a two-dimensional model in which the HO bond length is held fixed. The bound state system forms the HOCl molecule and at low energies is predominantly integrable. Below dissociation a number of bifurcations are observed, most notably a series of saddle-center bifurcations related to a 2:1 and at higher energies 3:1 resonance between bend and stretch motions. At energies above dissociation the classical phase space becomes dominated by a homoclinic tangle which induces a fractal distribution of singularities in all scattering functions. The structure of the homoclinic tangle is examined directly using Poincaré surfaces of section as well as indirectly through its influence on the time delay of the scattered chlorine atom and the angular momentum of the scattered HO molecule.
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Affiliation(s)
- Alex M Barr
- Center for Complex Quantum Systems and Department of Physics, The University of Texas at Austin, Austin, Texas 78712, USA
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Lin SY, Guo H, Farantos SC. Resonances of CH2(ãA11) and their roles in unimolecular and bimolecular reactions. J Chem Phys 2005; 122:124308. [PMID: 15836379 DOI: 10.1063/1.1866094] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Low-lying resonances of the CH2(a 1A1) system (J=0) in an accurate ab initio potential energy surface are studied using a filter-diagonalization method. The width of these resonances fluctuates by more than two orders of magnitude and on average increases with the energy. Analysis of the resonance states concludes that the unimolecular decay of the excited molecular system near the dissociation threshold is neither mode specific nor statistical state specific. This is apparently due to remnant regularity embedded in the largely chaotic classical phase space, as evidenced by periodic orbit analysis. As a result, the Rice-Ramsperger-Kassel-Marcus and statistical adiabatic channel models overestimate the average unimolecular decay rate. The implications of the resonances for the bimolecular C(1D)+H2 reaction are also discussed.
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Affiliation(s)
- Shi Ying Lin
- Department of Chemistry, University of New Mexico, Albuquerque, New Mexico 87131, USA
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Qu ZW, Zhu H, Grebenshchikov SY, Schinke R, Farantos SC. The Huggins band of ozone: A theoretical analysis. J Chem Phys 2004; 121:11731-45. [PMID: 15634138 DOI: 10.1063/1.1814098] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
The Huggins band of ozone is investigated by means of dynamics calculations using a new (diabatic) potential energy surface for the 3 (1)A'(1B2) state. The good overall agreement of the calculated spectrum of vibrational energies and intensities with the experimental spectrum, especially at low to intermediate excitation energies, is considered as evidence that the Huggins band is due to the two C(s) potential wells of the 1B2 state rather than the single C2v well of the 2 (1)A'(1A1) state. The vibrational assignment of the "cold bands," based on the nodal structure of wave functions, on the whole supports the most recent experimental assignment [J. Chem. Phys. 115, 9311 (2001)]. The quantum mechanical spectrum is analyzed in terms of classical periodic orbits and the structure of the classical phase space.
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Affiliation(s)
- Zheng-Wang Qu
- Max-Planck-Institut für Strömungsforschung, D-37073 Göttingen, Germany
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Farantos SC, Lin SY, Guo H. A regular isomerization path among chaotic vibrational states of CH2(a˜1A1). Chem Phys Lett 2004. [DOI: 10.1016/j.cplett.2004.10.018] [Citation(s) in RCA: 9] [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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Balzer B, Dilthey S, Hahn S, Thoss M, Stock G. Quasiperiodic orbit analysis of nonadiabaticcis–transphotoisomerization dynamics. J Chem Phys 2003. [DOI: 10.1063/1.1592794] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023] Open
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Azzam T, Schinke R, Farantos SC, Joyeux M, Peterson KA. The bound state spectrum of HOBr up to the dissociation limit: Evolution of saddle-node bifurcations. J Chem Phys 2003. [DOI: 10.1063/1.1569914] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/25/2022] Open
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12
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Prosmiti R, Farantos SC. Periodic orbits and bifurcation diagrams of acetylene/vinylidene revisited. J Chem Phys 2003. [DOI: 10.1063/1.1565991] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.7] [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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Lara M, Salas JP. Octupolar perturbation of a single ion in a Penning trap. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2003; 67:027401. [PMID: 12636868 DOI: 10.1103/physreve.67.027401] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/13/2002] [Indexed: 05/24/2023]
Abstract
We investigate the classical dynamics of a single ion trapped in a Penning trap perturbed by a octupolar electrostatic perturbation that introduces nonlinearities in the motion. We show that the dynamics is controlled by a single external parameter that combines the influence of the electric and magnetic fields. Through the variation of this parameter, we explore the evolution of the phase space structure of the system by the numerical continuation of the families of periodic orbits.
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Affiliation(s)
- Martín Lara
- Real Observatorio de la Armada, 11110 San Fernando, Spain
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14
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Semparithi A, Charulatha V, Keshavamurthy S. Understanding highly excited states via parametric variations. J Chem Phys 2003. [DOI: 10.1063/1.1527922] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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15
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Siebert R, Fleurat-Lessard P, Schinke R, Bittererová M, Farantos SC. The vibrational energies of ozone up to the dissociation threshold: Dynamics calculations on an accurate potential energy surface. J Chem Phys 2002. [DOI: 10.1063/1.1473664] [Citation(s) in RCA: 159] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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16
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Joyeux M, Farantos SC, Schinke R. Highly Excited Motion in Molecules: Saddle-Node Bifurcations and Their Fingerprints in Vibrational Spectra. J Phys Chem A 2002. [DOI: 10.1021/jp0131065] [Citation(s) in RCA: 77] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- M. Joyeux
- Laboratoire de Spectrométrie Physique, Université Joseph Fourier-Grenoble I, BP 87, F-38402 St Martin d'Heres Cedex, France
| | - S. C. Farantos
- Institute of Electronic Struture and Laser Foundation for Research and Technology−Hellas, Greece, and Department of Chemistry, University of Crete, Iraklion 711 10, Crete, Greece
| | - R. Schinke
- Max-Planck-Institut für Strömungsforschung, D-37073 Göttingen, Germany
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17
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Dilthey S, Mehlig B, Stock G. Classical phase-space analysis of vibronically coupled systems. J Chem Phys 2002. [DOI: 10.1063/1.1421067] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023] Open
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18
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Stamatiadis S, Farantos S, Keller HM, Schinke R. Saddle-node states in the spectra of HCO and DCO: a periodic orbit classification of vibrational levels. Chem Phys Lett 2001. [DOI: 10.1016/s0009-2614(01)00832-6] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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19
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Bowman JM, Irle S, Morokuma K, Wodtke A. Dipole moments of highly vibrationally excited HCN: Theoretical prediction of an experimental diagnostic for delocalized states. J Chem Phys 2001. [DOI: 10.1063/1.1364681] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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20
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Jacobson MP, Child MS. Spectroscopic signatures of bond-breaking internal rotation. I. Saddle point induced polyad breakdown. J Chem Phys 2001. [DOI: 10.1063/1.1330238] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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21
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Bredenbeck J, Beck C, Schinke R, Koput J, Stamatiadis S, Farantos SC, Joyeux M. The vibrational spectrum of deuterated phosphaethyne: A quantum mechanical, classical, and semiclassical analysis. J Chem Phys 2000. [DOI: 10.1063/1.481500] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.5] [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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Beck C, Schinke R, Koput J. Vibrational spectroscopy of phosphaethyne (HCP). I. Potential energy surface, variational calculations, and comparison with experimental data. J Chem Phys 2000. [DOI: 10.1063/1.481483] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/27/2022] Open
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Parlant G. Classical survival probability for ozone photodissociation in the Hartley band. J Chem Phys 2000. [DOI: 10.1063/1.481291] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Joyeux M, Sugny D, Tyng V, Kellman ME, Ishikawa H, Field RW, Beck C, Schinke R. Semiclassical study of the isomerization states of HCP. J Chem Phys 2000. [DOI: 10.1063/1.481001] [Citation(s) in RCA: 49] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Weiß J, Hauschildt J, Grebenshchikov SY, Düren R, Schinke R, Koput J, Stamatiadis S, Farantos SC. Saddle-node bifurcations in the spectrum of HOCl. J Chem Phys 2000. [DOI: 10.1063/1.480563] [Citation(s) in RCA: 45] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Guantes R, Nezis A, Farantos SC. Periodic orbit–Quantum mechanical investigation of the inversion mechanism of Ar3. J Chem Phys 1999. [DOI: 10.1063/1.480447] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022] Open
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Guantes R, Farantos SC. High order finite difference algorithms for solving the Schrödinger equation in molecular dynamics. J Chem Phys 1999. [DOI: 10.1063/1.480446] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022] Open
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Jost R, Joyeux M, Skokov S, Bowman J. Vibrational analysis of HOCl up to 98% of the dissociation energy with a Fermi resonance Hamiltonian. J Chem Phys 1999. [DOI: 10.1063/1.479974] [Citation(s) in RCA: 41] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Ishikawa H, Field RW, Farantos SC, Joyeux M, Koput J, Beck C, Schinke R. HCP CPH ISOMERIZATION: Caught in the Act. Annu Rev Phys Chem 1999; 50:443-84. [PMID: 15012419 DOI: 10.1146/annurev.physchem.50.1.443] [Citation(s) in RCA: 108] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
▪ Abstract In this overview we discuss the vibrational spectrum of phosphaethyne, HCP, in its electronic ground state, as revealed by complementary experimental and theoretical examinations. The main focus is the evolution of specific spectral patterns from the bottom of the potential well up to excitation energies of approximately 25,000 cm−1, where large-amplitude, isomerization-type motion from H–CP to CP–H is prominent. Distinct structural and dynamical changes, caused by an abrupt transformation from essentially HC bonding to mainly PH bonding, set in around 13,000 cm−1. They reflect saddle-node bifurcations in the classical phase space—a phenomenon well known in the nonlinear dynamics literature—and result in characteristic patterns in the spectrum and the quantum-number dependence of the vibrational fine-structure constants. Two polar opposites are employed to elucidate the spectral patterns: the exact solution of the Schrödinger equation, using an accurate potential energy surface and an effective or resonance Hamiltonian (expressed in a harmonic oscillator basis set and block diagonalized into polyads), which is defined by parameters adjusted to fit either the measured or the calculated vibrational energies. The combination of both approaches—together with classical mechanics and semiclassical analyses—provides a detailed spectroscopic picture of the breaking of one bond and the formation of a new one.
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Affiliation(s)
- H Ishikawa
- Department of Chemistry, Graduate School of Science, Tohoku University, Sendai 980-8578, Japan
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Prosmiti R, Farantos S, Guo H. Assigning the transition from normal to local vibrational mode in SO2 by periodic orbits. Chem Phys Lett 1999. [DOI: 10.1016/s0009-2614(99)00850-7] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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31
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Joyeux M, Grebenshchikov SY, Schinke R. Analysis of the highly excited vibrational dynamics of HCP using a high-order Fermi resonance Hamiltonian. J Chem Phys 1998. [DOI: 10.1063/1.477497] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022] Open
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32
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Ishikawa H, Nagao C, Mikami N, Field RW. Spectroscopic investigation of the generation of “isomerization” states: Eigenvector analysis of the bend-CP stretch polyad. J Chem Phys 1998. [DOI: 10.1063/1.476586] [Citation(s) in RCA: 34] [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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33
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Fanourgakis GS, Farantos SC, Lüder C, Velegrakis M, Xantheas SS. Photofragmentation spectra and structures of Sr+Arn, n=2–8 clusters: Experiment and theory. J Chem Phys 1998. [DOI: 10.1063/1.476527] [Citation(s) in RCA: 37] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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34
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Schwieters CD, Voth GA. The semiclassical calculation of nonadiabatic tunneling rates. J Chem Phys 1998. [DOI: 10.1063/1.475467] [Citation(s) in RCA: 31] [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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35
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Beck C, Keller HM, Grebenshchikov SY, Schinke R, Farantos SC, Yamashita K, Morokuma K. Highly excited vibrational states of HCP and their analysis in terms of periodic orbits: The genesis of saddle-node states and their spectroscopic signature. J Chem Phys 1997. [DOI: 10.1063/1.474226] [Citation(s) in RCA: 35] [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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Davis MJ. Investigating intramolecular dynamics: Hierarchical analysis and the topography of energy flow. J Chem Phys 1997. [DOI: 10.1063/1.474812] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022] Open
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Davis MJ. Chaotic dynamics and approximate semiclassical quantization: Assigning highly excited vibrational eigenstates. J Chem Phys 1997. [DOI: 10.1063/1.475136] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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39
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Papadakis J, Fanourgakis GS, Farantos SC, Founargiotakis M. Comparison of line search minimization algorithms for exploring topography of multidimensional potential energy surfaces: Mg+Arn case. J Comput Chem 1997. [DOI: 10.1002/(sici)1096-987x(199706)18:8<1011::aid-jcc5>3.0.co;2-w] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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40
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Fanourgakis GS, Farantos SC, Parneix P, Bréchignac P. An effective transition state for a complex cluster isomerization process: Comparison between anharmonic and harmonic models for Mg+Ar12. J Chem Phys 1997. [DOI: 10.1063/1.474081] [Citation(s) in RCA: 16] [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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