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Bossion D, Scribano Y, Parlant G. State-to-state quasi-classical trajectory study of the D + H2 collision for high temperature astrophysical applications. J Chem Phys 2019; 150:084301. [DOI: 10.1063/1.5082158] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Duncan Bossion
- Laboratoire Univers et Particules de Montpellier, Université de Montpellier, UMR-CNRS 5299, 34095 Montpellier Cedex, France
| | - Yohann Scribano
- Laboratoire Univers et Particules de Montpellier, Université de Montpellier, UMR-CNRS 5299, 34095 Montpellier Cedex, France
| | - Gérard Parlant
- Institut Charles Gerhardt, Université de Montpellier, UMR-CNRS 5253, 34095 Montpellier, France
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Scribano Y, Parlant G, Poirier B. Communication: Adiabatic quantum trajectory capture for cold and ultra-cold chemical reactions. J Chem Phys 2018; 149:021101. [PMID: 30007377 DOI: 10.1063/1.5041091] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The Langevin capture model is often used to describe barrierless reactive collisions. At very low temperatures, quantum effects may alter this simple capture image and dramatically affect the reaction probability. In this paper, we use the trajectory-ensemble reformulation of quantum mechanics, as recently proposed by one of the authors (Poirier) to compute adiabatic-channel capture probabilities and cross-sections for the highly exothermic reaction Li + CaH(v = 0, j = 0) → LiH + Ca, at low and ultra-low temperatures. Each captured quantum trajectory takes full account of tunneling and quantum reflection along the radial collision coordinate. Our approach is found to be very fast and accurate, down to extremely low temperatures. Moreover, it provides an intuitive and practical procedure for determining the capture distance (i.e., where the capture probability is evaluated), which would otherwise be arbitrary.
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Affiliation(s)
- Yohann Scribano
- Laboratoire Univers et Particules de Montpellier, UMR-CNRS 5299, Université de Montpellier, Place Eugène Bataillon, 34095 Montpellier, France
| | - Gérard Parlant
- Institut Charles Gerhardt, UMR-CNRS 5253, Université de Montpellier, Place Eugène Bataillon, 34095 Montpellier, France
| | - Bill Poirier
- Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, 01187 Dresden, Germany and Department of Chemistry and Biochemistry, and Department of Physics, Texas Tech University, P.O. Box 41061, Lubbock, Texas 79409-1061, USA
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Parlant G, Ou YC, Park K, Poirier B. Classical-like trajectory simulations for accurate computation of quantum reactive scattering probabilities. COMPUT THEOR CHEM 2012. [DOI: 10.1016/j.comptc.2012.01.034] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/14/2022]
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Park K, Poirier B, Parlant G. Quantum trajectory calculations for bipolar wavepacket dynamics in one dimension. J Chem Phys 2008; 129:194112. [DOI: 10.1063/1.3013630] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Abstract
In previous articles (J. Chem. Phys. 2004, 121, 4501; 2006, 124, 034115; 2006, 124, 034116) a bipolar counter-propagating wave decomposition, Psi = Psi+ + Psi-, was presented for stationary states Psi of the one-dimensional Schrödinger equation, such that the components Psi+/- approach their semiclassical WKB analogs in the large action limit. The corresponding bipolar quantum trajectories are classical-like and well-behaved, even when Psi has many nodes or is wildly oscillatory. In this paper, the method is generalized for multisurface scattering applications and applied to several benchmark problems. A natural connection is established between intersurface transitions and (+ <--> -) transitions.
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Affiliation(s)
- Bill Poirier
- Department of Chemistry and Biochemistry, Texas Tech University, Box 41061, Lubbock, Texas 79409-1061, USA.
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Hughes KH, Parry SM, Parlant G, Burghardt I. A Hybrid Hydrodynamic−Liouvillian Approach to Mixed Quantum−Classical Dynamics: Application to Tunneling in a Double Well. J Phys Chem A 2007; 111:10269-83. [PMID: 17685595 DOI: 10.1021/jp072642f] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
Abstract
The hybrid quantum-classical approach of Burghardt and Parlant [Burghardt, I.; Parlant, G. J. Chem. Phys. 2004, 120, 3055], referred to here as the quantum-classical moment (QCM) approach, is demonstrated for the dynamics of a quantum double well coupled to a classical harmonic coordinate. The approach combines the quantum hydrodynamic and classical Liouvillian representations by the construction of a particular type of moments (that is, partial hydrodynamic moments) whose evolution is determined by a hierarchy of coupled equations. For pure states, which are at the center of the present study, this hierarchy terminates at the first order. In the Lagrangian picture, the deterministic trajectories result in dynamics which is Hamiltonian in the classical subspace, while the projection onto the quantum subspace evolves under a generalized hydrodynamic force. Importantly, this force also depends upon the classical (Q, P) variables. The present application demonstrates the tunneling dynamics in both the Eulerian and Lagrangian representations. The method is exact if the classical subspace is harmonic, as is the case for the systems studied here.
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Affiliation(s)
- Keith H Hughes
- School of Chemistry, University of Wales Bangor, Bangor, Gwynedd LL57 2UW, U.K.
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Affiliation(s)
- M. Tadjeddine
- a Laboratoire des Collisions Ioniques , Université de Paris-Sud , Bât. 351, 91405 , Orsay , France
| | - G. Parlant
- b Laboratoire de Résonance Electronique et Ionique , Université de Paris-Sud , Bât. 350, 91405 , Orsay , France
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Gindensperger E, Meier C, Beswick JA, Parlant G. Combining fixed- and moving-grid methods to study direct dissociation processes involving nonadiabatic transitions. J Chem Phys 2005; 123:214107. [PMID: 16356039 DOI: 10.1063/1.2114807] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023] Open
Abstract
We present a novel quantum-dynamics approach suitable for computing direct dissociation processes, including electronic transitions. This approach combines quantum trajectories in the Lagrangian reference frame with standard fixed-grid wave packets in order to overcome the limitations and difficulties of both techniques. As a model application, we consider the ultrafast photodissociation of H2 excited by a femtosecond extreme UV laser pulse.
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Affiliation(s)
- Etienne Gindensperger
- Laboratoire Collisions Agrégats Réactivité, Institut de Recherche sur les Systémes Atomiques et Moléculaires Complexes, Centre National de la Recherche Scientifique -Université Paul Sabatier, Toulouse, France.
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Parlant G, Yarkony DR. A theoretical analysis of the state-specific decomposition of OH(A 2Σ+,v′,N′,F1/F2) levels, including the effects of spin–orbit and Coriolis interactions. J Chem Phys 1999. [DOI: 10.1063/1.478133] [Citation(s) in RCA: 48] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Parlant G, Dagdigian PJ, Yarkony DR. Predissociation of the c 1Π state of NH (ND): The role of dipolar spin–spin coupling. J Chem Phys 1991. [DOI: 10.1063/1.459907] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Patel‐Misra D, Parlant G, Sauder DG, Yarkony DR, Dagdigian PJ. Radiative and nonradiative decay of the NH(ND)A 3Π electronic state: Predissociation induced by the5Σ−state. J Chem Phys 1991. [DOI: 10.1063/1.459912] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Parlant G, Rostas J, Taieb G, Yarkony DR. On the electronic structure and dynamical aspects of the predissociation of theA 2ΠΩstates of MgCl. A rigorous quantum mechanical treatment incorporating spin–orbit and derivative coupling effects. J Chem Phys 1990. [DOI: 10.1063/1.458957] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Parlant G, Alexander MH. Trajectory surface‐hopping study of electronically inelastic collisions of CN(A 2Π) with He: Comparison with exact quantum calculations. J Chem Phys 1990. [DOI: 10.1063/1.457968] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Parlant G, Gislason EA. Theoretical state‐to‐state cross sections for collisions of N+2(v)+Ar. II. Results at higher energies. J Chem Phys 1989. [DOI: 10.1063/1.457584] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Alexander MH, Parlant G, Hemmer TH. A log‐derivative propagation scheme for the exact solution of two‐state curve crossing problems. J Chem Phys 1989. [DOI: 10.1063/1.456996] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Sizun M, Parlant G, Gislason EA. Determination of product electronic‐state distributions in collision‐induced dissociation experiments. II. Information available from the measurement of a single product velocity. J Chem Phys 1988. [DOI: 10.1063/1.453788] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Parlant G, Gislason EA. Theoretical state‐to‐state inelastic cross sections for collisions of Ar+(2P3/2, 2P1/2) with N2. J Chem Phys 1988. [DOI: 10.1063/1.454142] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Parlant G, Gislason EA. Theoretical state‐to‐state charge transfer cross sections for collisions of Ar+ (2P3/2, 2P1/2) with N2. J Chem Phys 1987. [DOI: 10.1063/1.452456] [Citation(s) in RCA: 34] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Gislason EA, Parlant G, Archirel P, Sizun M. Theoretical studies of non-adiabatic processes in ion–molecule collisions: Ar+(2PJ)+ CO. ACTA ACUST UNITED AC 1987. [DOI: 10.1039/dc9878400325] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Durup M, Parlant G, Appell J, Durup J, Ozenne JB. Translational spectroscopy of neutralization-reionization double-collision processes of Ar+ ions at keV energies. Chem Phys 1977. [DOI: 10.1016/0301-0104(77)87080-8] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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