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Lin YD, Reichl LE, Jung C. The vibrational dynamics of 3D HOCl above dissociation. J Chem Phys 2015; 142:124304. [PMID: 25833576 DOI: 10.1063/1.4915142] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We explore the classical vibrational dynamics of the HOCl molecule for energies above the dissociation energy of the molecule. Above dissociation, we find that the classical dynamics is dominated by an invariant manifold which appears to stabilize two periodic orbits at energies significantly above the dissociation energy. These stable periodic orbits can hold a large number of quantum states and likely can support a significant quasibound state of the molecule, well above the dissociation energy. The classical dynamics and the lifetime of quantum states on the invariant manifold are determined.
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Affiliation(s)
- Yi-Der Lin
- Center for Complex Quantum Systems and Department of Physics, The University of Texas at Austin, Austin, Texas 78712, USA
| | - L E Reichl
- Center for Complex Quantum Systems and Department of Physics, The University of Texas at Austin, Austin, Texas 78712, USA
| | - Christof Jung
- Instituto de Ciencias Fisicas, Universidad Nacional Autonoma de Mexico, Av. Universidad 1001, 62251 Cuernavaca, Mexico
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2
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Ge MH, Zheng YJ. Effect of ro-vibrational excitation of HCl on the stereodynamics for the reaction of O(3P)+HCl→OH+Cl. Chem Phys 2012. [DOI: 10.1016/j.chemphys.2011.10.008] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
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3
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BIAN WENSHENG, POIRIER BILL. ACCURATE AND HIGHLY EFFICIENT CALCULATION OF THE O(1D)HCl VIBRATIONAL BOUND STATES, USING A COMBINATION OF METHODS. JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY 2011. [DOI: 10.1142/s0219633603000768] [Citation(s) in RCA: 47] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
Hypochlorous acid, HOCl, is an important intermediate in the O (1D) HCl reactive system. Due in part to a large number of vibrational bound states (over 800), extremely large direct product basis sets (around 300,000) are required to compute the energy levels just below the dissociation threshold. This situation, combined with a very high density of states, results in difficult convergence for iterative methods — e.g. Lanczos requires 50,000 iterations, and filter diagonalization uses 60,000 iterations. In contrast, using new methodologies, we are able to compute the highest-lying bound states with only 271 iterations, although the CPU cost per iteration is substantially greater. Lower lying states are also computed, for a fraction of the CPU cost of the highest energy calculation.
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Affiliation(s)
- WENSHENG BIAN
- Department of Chemistry and Biochemistry, and Department of Physics, Texas Tech University, Box 41061, Lubbock, Texas 79409-1061, USA
| | - BILL POIRIER
- Department of Chemistry and Biochemistry, and Department of Physics, Texas Tech University, Box 41061, Lubbock, Texas 79409-1061, USA
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Ge MH, Zheng YJ. Stereo-dynamics study of O + HCl → OH + Cl reaction on the 3A″, 3A′, and 1A′ states. Theor Chem Acc 2011. [DOI: 10.1007/s00214-011-0917-9] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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5
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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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Bian W, Poirier B. Accurate and highly efficient calculation of the highly excited pure OH stretching resonances of O(1D)HCl, using a combination of methods. J Chem Phys 2004; 121:4467-78. [PMID: 15332876 DOI: 10.1063/1.1779577] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Accurate calculation of the energies and widths of the resonances of HOCl--an important intermediate in the O(1D)HCl reactive system--poses a challenging benchmark for computational methods. The need for very large direct product basis sets, combined with an extremely high density of states, results in difficult convergence for iterative methods. A recent calculation of the highly excited OH stretch mode resonances using the filter diagonalization method, for example, required 462,000 basis functions, and 180,000 iterations. In contrast, using a combination of new methods, we are able to compute the same resonance states to higher accuracy with a basis less than half the size, using only a few hundred iterations-although the CPU cost per iteration is substantially greater. Similar performance enhancements are observed for calculations of the high-lying bound states, as reported in a previous paper [J. Theo. Comput. Chem. 2, 583 (2003)].
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Affiliation(s)
- Wensheng Bian
- Department of Chemistry and Biochemistry and Department of Physics, Texas Tech University, Lubbock, Texas 79409-1061, USA
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Martı́nez T, Hernández ML, Alvariño JM, Aoiz FJ, Sáez Rábanos V. A detailed study of the dynamics of the O(1D)+HCl→OH+Cl, ClO+H reactions. J Chem Phys 2003. [DOI: 10.1063/1.1607317] [Citation(s) in RCA: 39] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/16/2023] Open
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8
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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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9
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Grebenshchikov S, Schinke R, Hase W. State-specific dynamics of unimolecular dissociation. ACTA ACUST UNITED AC 2003. [DOI: 10.1016/s0069-8040(03)80005-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/09/2023]
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10
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Mussa HY, Tennyson J. Calculating quasi-bound rotation-vibrational states of HOCl using massively parallel computers. Chem Phys Lett 2002. [DOI: 10.1016/s0009-2614(02)01554-3] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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11
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Song K, Sun L, Hase WL, Grebenshchikov SY, Schinke R. Relationship between Mode Specific and Thermal Unimolecular Rate Constants for HOCl → OH + Cl Dissociation. J Phys Chem A 2002. [DOI: 10.1021/jp014689l] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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12
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Reiche F, Abel B, Beck RD, Rizzo TR. Double-resonance overtone photofragment spectroscopy oftrans-HONO. II. State- and time-resolved dissociation and OH-product state distributions. J Chem Phys 2002. [DOI: 10.1063/1.1471236] [Citation(s) in RCA: 26] [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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13
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Weiß J, Hauschildt J, Schinke R, Haan O, Skokov S, Bowman JM, Mandelshtam VA, Peterson KA. The unimolecular dissociation of the OH stretching states of HOCl: Comparison with experimental data. J Chem Phys 2001. [DOI: 10.1063/1.1412602] [Citation(s) in RCA: 17] [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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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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Troellsch A, Temps F. Analysis of Vibrationally Highly Excited Bound and Resonance States of DCO (X ˜2A′) Using an Effective Polyad Hamiltonian. ACTA ACUST UNITED AC 2001. [DOI: 10.1524/zpch.2001.215.2.207] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
Abstract
The vibrational bound and resonance state structure of highly excited DCO (X
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Joyeux M, Sugny D, Lombardi M, Jost R, Schinke R, Skokov S, Bowman J. Vibrational dynamics up to the dissociation threshold: A case study of two-dimensional HOCl. J Chem Phys 2000. [DOI: 10.1063/1.1321031] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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17
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Kirmse B, Abel B, Schwarzer D, Grebenshchikov SY, Schinke R. Nonexponential Unimolecular Decay of Jet-Cooled NO2: Comparison of Time-Resolved Measurements and Quantum Mechanical Calculations. J Phys Chem A 2000. [DOI: 10.1021/jp001422y] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
| | | | - Dirk Schwarzer
- Max-Planck-Institut für Biophysikalische Chemie, Am Fassberg 11, D-37077 Göttingen, Germany
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Peña-Gallego A, Abreu PE, Varandas AJC. MRCI Calculation, Scaling of the External Correlation, and Modeling of Potential Energy Curves for HCl and OCl. J Phys Chem A 2000. [DOI: 10.1021/jp994036t] [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)
- A. Peña-Gallego
- Departamento de Química, Universidade de Coimbra, P-3049 Coimbra Codex, Portugal
| | - P. E. Abreu
- 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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Kuhn B, Rizzo TR. State-to-state studies of intramolecular energy transfer in highly excited HOOH(D): Dependencies on vibrational and rotational excitation. J Chem Phys 2000. [DOI: 10.1063/1.481380] [Citation(s) in RCA: 30] [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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20
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Nakamura H, Kato S. State resolved reaction rates of the spin-forbidden predissociation of N2O: A quantum dynamics study of the rotational effect. J Chem Phys 2000. [DOI: 10.1063/1.480741] [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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21
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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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22
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Hauschildt J, Weiß J, Schinke R. Influence of Vibrational Resonances and Coriolis Coupling on Dissociation Rates in the Near-threshold Unimolecular Fragmentation of HOCl. ACTA ACUST UNITED AC 2000. [DOI: 10.1524/zpch.2000.214.5.609] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
Abstract
The unimolecular dissociation of HOCl in the ground electronic state near the HO+Cl fragmentation threshold is investigated employing an ab initio potential energy surface. The dynamics calculations are performed by using an imaginary absorbing potential and filter diagonalization. The computational study is mainly focused on the influence of accidental or systematic vibrational resonances on the total angular momentum dependence of dissociation rates and the importance of Coriolis interaction.
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Callegari A, Rebstein J, Jost R, Rizzo TR. State-to-state unimolecular reaction dynamics of HOCl near the dissociation threshold: The role of vibrations, rotations, and IVR probed by time- and eigenstate-resolved spectroscopy. J Chem Phys 1999. [DOI: 10.1063/1.480058] [Citation(s) in RCA: 43] [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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Chen R, Guo H, Skokov S, Bowman JM. Theoretical studies of rotation induced Fermi resonances in HOCl. J Chem Phys 1999. [DOI: 10.1063/1.480053] [Citation(s) in RCA: 4] [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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Peterson KA, Skokov S, Bowman JM. A theoretical study of the vibrational energy spectrum of the HOCl/HClO system on an accurate ab initio potential energy surface. J Chem Phys 1999. [DOI: 10.1063/1.480069] [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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26
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Skokov S, Peterson KA, Bowman JM. Perturbative inversion of the HOCl potential energy surface via singular value decomposition. Chem Phys Lett 1999. [DOI: 10.1016/s0009-2614(99)00996-3] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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27
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Dutton G, Barnes RJ, Sinha A. State selected unimolecular dissociation of HOCl near threshold: The 6νOH vibrational state. J Chem Phys 1999. [DOI: 10.1063/1.479757] [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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28
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Skokov S, Bowman JM. Complex L2 calculation of the variation of resonance widths of HOCl with total angular momentum. J Chem Phys 1999. [DOI: 10.1063/1.479752] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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