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Takatsuka K. Electron Dynamics in Molecular Elementary Processes and Chemical Reactions. BULLETIN OF THE CHEMICAL SOCIETY OF JAPAN 2021. [DOI: 10.1246/bcsj.20200388] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/28/2022]
Affiliation(s)
- Kazuo Takatsuka
- Fukui Institute for Fundamental Chemistry, Kyoto University, Kyoto 606-8103, Japan
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2
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Richings GW, Habershon S. A new diabatization scheme for direct quantum dynamics: Procrustes diabatization. J Chem Phys 2020; 152:154108. [DOI: 10.1063/5.0003254] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Gareth W. Richings
- Department of Chemistry, University of Warwick, Coventry CV4 7AL, United Kingdom
| | - Scott Habershon
- Department of Chemistry, University of Warwick, Coventry CV4 7AL, United Kingdom
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3
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Wang L, Qiu J, Bai X, Xu J. Surface hopping methods for nonadiabatic dynamics in extended systems. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2019. [DOI: 10.1002/wcms.1435] [Citation(s) in RCA: 31] [Impact Index Per Article: 6.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Affiliation(s)
- Linjun Wang
- Center for Chemistry of Novel & High‐Performance Materials, Department of Chemistry Zhejiang University Hangzhou China
| | - Jing Qiu
- Center for Chemistry of Novel & High‐Performance Materials, Department of Chemistry Zhejiang University Hangzhou China
| | - Xin Bai
- Center for Chemistry of Novel & High‐Performance Materials, Department of Chemistry Zhejiang University Hangzhou China
| | - Jiabo Xu
- Center for Chemistry of Novel & High‐Performance Materials, Department of Chemistry Zhejiang University Hangzhou China
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4
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Plasser F, Mai S, Fumanal M, Gindensperger E, Daniel C, González L. Strong Influence of Decoherence Corrections and Momentum Rescaling in Surface Hopping Dynamics of Transition Metal Complexes. J Chem Theory Comput 2019; 15:5031-5045. [DOI: 10.1021/acs.jctc.9b00525] [Citation(s) in RCA: 33] [Impact Index Per Article: 6.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/16/2023]
Affiliation(s)
- Felix Plasser
- Institute for Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währingerstr. 17, 1090 Vienna, Austria
- Department of Chemistry, Loughborough University, Loughborough, LE11 3TU, U.K
| | - Sebastian Mai
- Institute for Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währingerstr. 17, 1090 Vienna, Austria
| | - Maria Fumanal
- Laboratoire de Chimie Quantique, Institut de Chimie Strasbourg, UMR7177 CNRS/Université de Strasbourg 4 Rue Blaise Pascal BP296/R8, F-67008 Strasbourg, France
| | - Etienne Gindensperger
- Laboratoire de Chimie Quantique, Institut de Chimie Strasbourg, UMR7177 CNRS/Université de Strasbourg 4 Rue Blaise Pascal BP296/R8, F-67008 Strasbourg, France
| | - Chantal Daniel
- Laboratoire de Chimie Quantique, Institut de Chimie Strasbourg, UMR7177 CNRS/Université de Strasbourg 4 Rue Blaise Pascal BP296/R8, F-67008 Strasbourg, France
| | - Leticia González
- Institute for Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währingerstr. 17, 1090 Vienna, Austria
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5
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Peng J, Xie Y, Hu D, Lan Z. Performance of trajectory surface hopping method in the treatment of ultrafast intersystem crossing dynamics. J Chem Phys 2019; 150:164126. [PMID: 31042919 DOI: 10.1063/1.5079426] [Citation(s) in RCA: 4] [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 carried out extensive studies to examine the performance of the fewest-switches surface hopping method in the description of the ultrafast intersystem crossing dynamic of various singlet-triplet (S-T) models by comparison with the results of the exact full quantum dynamics. Different implementation details and some derivative approaches were examined. As expected, it is better to perform the trajectory surface hopping calculations in the spin-adiabatic representation or by the local diabatization approach, instead of in the spin-diabatic representation. The surface hopping method provides reasonable results for the short-time dynamics in the S-T model with weak spin-orbital coupling (diabatic coupling), although it does not perform well in the models with strong spin-orbital coupling (diabatic coupling). When the system accesses the S-T potential energy crossing with rather high kinetic energy, the trajectory surface hopping method tends to produce a good description of the nonadiabatic intersystem crossing dynamics. The impact of the decoherence correction on the performance of the trajectory surface hopping is system dependent. It improves the result accuracy in many cases, while its influence may also be minor for other cases.
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Affiliation(s)
- Jiawei Peng
- Guangdong Provincial Key Laboratory of Chemical Pollution and Environmental Safety and MOE Key Laboratory of Environmental Theoretical Chemistry, SCNU Environmental Research Institute, South China Normal University, Guangzhou 510006, China
| | - Yu Xie
- Guangdong Provincial Key Laboratory of Chemical Pollution and Environmental Safety and MOE Key Laboratory of Environmental Theoretical Chemistry, SCNU Environmental Research Institute, South China Normal University, Guangzhou 510006, China
| | - Deping Hu
- MOE Key Laboratory of Organic Optoelectronics and Molecular Engineering, Department of Chemistry, Tsinghua University, Beijing 100084, China
| | - Zhenggang Lan
- Guangdong Provincial Key Laboratory of Chemical Pollution and Environmental Safety and MOE Key Laboratory of Environmental Theoretical Chemistry, SCNU Environmental Research Institute, South China Normal University, Guangzhou 510006, China
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6
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Richings GW, Habershon S. MCTDH on-the-fly: Efficient grid-based quantum dynamics without pre-computed potential energy surfaces. J Chem Phys 2018; 148:134116. [DOI: 10.1063/1.5024869] [Citation(s) in RCA: 54] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Gareth W. Richings
- Department of Chemistry and Centre for Scientific Computing, University of Warwick, Coventry CV4 7AL, United Kingdom
| | - Scott Habershon
- Department of Chemistry and Centre for Scientific Computing, University of Warwick, Coventry CV4 7AL, United Kingdom
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7
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Richings GW, Habershon S. Direct Quantum Dynamics Using Grid-Based Wave Function Propagation and Machine-Learned Potential Energy Surfaces. J Chem Theory Comput 2017; 13:4012-4024. [DOI: 10.1021/acs.jctc.7b00507] [Citation(s) in RCA: 33] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Gareth W. Richings
- Department of Chemistry and
Centre for Scientific Computing, University of Warwick, Coventry CV4 7AL, United Kingdom
| | - Scott Habershon
- Department of Chemistry and
Centre for Scientific Computing, University of Warwick, Coventry CV4 7AL, United Kingdom
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8
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Schubert A, Falvo C, Meier C. Mixed quantum-classical simulations of the vibrational relaxation of photolyzed carbon monoxide in a hemoprotein. J Chem Phys 2016; 145:054108. [DOI: 10.1063/1.4959859] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Alexander Schubert
- Laboratoire Collisions Agrégats et Réactivité, IRSAMC, UMR CNRS 5589, Université Paul Sabatier, 31062 Toulouse, France
| | - Cyril Falvo
- Institut des Sciences Moléculaires d’Orsay (ISMO), CNRS, Univ. Paris-Sud, Université Paris-Saclay, 91405 Orsay, France
| | - Christoph Meier
- Laboratoire Collisions Agrégats et Réactivité, IRSAMC, UMR CNRS 5589, Université Paul Sabatier, 31062 Toulouse, France
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9
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Richings GW, Worth GA. A Practical Diabatisation Scheme for Use with the Direct-Dynamics Variational Multi-Configuration Gaussian Method. J Phys Chem A 2015; 119:12457-70. [DOI: 10.1021/acs.jpca.5b07921] [Citation(s) in RCA: 49] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Gareth W. Richings
- School
of Chemistry, University of Birmingham, Edgbaston, Birmingham B15 2TT, U.K
| | - Graham A. Worth
- School
of Chemistry, University of Birmingham, Edgbaston, Birmingham B15 2TT, U.K
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10
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Malhado JP, Bearpark MJ, Hynes JT. Non-adiabatic dynamics close to conical intersections and the surface hopping perspective. Front Chem 2014; 2:97. [PMID: 25485263 PMCID: PMC4240175 DOI: 10.3389/fchem.2014.00097] [Citation(s) in RCA: 49] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/11/2014] [Accepted: 10/16/2014] [Indexed: 11/13/2022] Open
Abstract
Conical intersections play a major role in the current understanding of electronic de-excitation in polyatomic molecules, and thus in the description of photochemistry and photophysics of molecular systems. This article reviews aspects of the basic theory underlying the description of non-adiabatic transitions at conical intersections, with particular emphasis on the important case when the dynamics of the nuclei are treated classically. Within this classical nuclear motion framework, the main aspects of the surface hopping methodology in the conical intersection context are presented. The emerging picture from this treatment is that of electronic transitions around conical intersections dominated by the interplay of the nuclear velocity and the derivative non-adiabatic coupling vector field.
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Affiliation(s)
| | | | - James T Hynes
- Department of Chemistry and Biochemistry, University of Colorado, Boulder Boulder, CO, USA ; Département de Chimie, École Normale Supérieur, UMR ENS-CNRS-UPMC 8640 Paris, France
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11
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Yonehara T, Hanasaki K, Takatsuka K. Fundamental Approaches to Nonadiabaticity: Toward a Chemical Theory beyond the Born–Oppenheimer Paradigm. Chem Rev 2011; 112:499-542. [DOI: 10.1021/cr200096s] [Citation(s) in RCA: 154] [Impact Index Per Article: 11.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Takehiro Yonehara
- Department of Basic Sciences, Graduate School of Arts and Sciences, The University of Tokyo Komaba, 153-8902 Tokyo, Japan
| | - Kota Hanasaki
- Department of Basic Sciences, Graduate School of Arts and Sciences, The University of Tokyo Komaba, 153-8902 Tokyo, Japan
| | - Kazuo Takatsuka
- Department of Basic Sciences, Graduate School of Arts and Sciences, The University of Tokyo Komaba, 153-8902 Tokyo, Japan
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12
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Shenvi N, Subotnik JE, Yang W. Simultaneous-trajectory surface hopping: A parameter-free algorithm for implementing decoherence in nonadiabatic dynamics. J Chem Phys 2011; 134:144102. [DOI: 10.1063/1.3575588] [Citation(s) in RCA: 110] [Impact Index Per Article: 8.5] [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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Malhado JP, Spezia R, Hynes JT. Dynamical Friction Effects on the Photoisomerization of a Model Protonated Schiff Base in Solution. J Phys Chem A 2010; 115:3720-35. [DOI: 10.1021/jp106096m] [Citation(s) in RCA: 42] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- João Pedro Malhado
- Département de Chimie, CNRS UMR 8640 PASTEUR, École Normale Supérieure, 24 rue Lhomond, 75005 Paris, France
| | - Riccardo Spezia
- Laboratoire Analyse et Modélisation pour la Biologie et l’Environement, CNRS UMR 8587, Université d’Evry Val d’Essonne, Bd. F. Mitterrand, 91025 Evry, France
| | - James T. Hynes
- Département de Chimie, CNRS UMR 8640 PASTEUR, École Normale Supérieure, 24 rue Lhomond, 75005 Paris, France
- Department of Chemistry and Biochemistry, University of Colorado, Boulder, Colorado 80309-0215, United States
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14
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Worth G, Robb M, Lasorne B. Solving the time-dependent Schrödinger equation for nuclear motion in one step: direct dynamics of non-adiabatic systems. Mol Phys 2008. [DOI: 10.1080/00268970802172503] [Citation(s) in RCA: 137] [Impact Index Per Article: 8.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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15
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Worth GA, Meyer HD, Köppel H, Cederbaum LS, Burghardt I. Using the MCTDH wavepacket propagation method to describe multimode non-adiabatic dynamics. INT REV PHYS CHEM 2008. [DOI: 10.1080/01442350802137656] [Citation(s) in RCA: 170] [Impact Index Per Article: 10.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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16
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Penfold TJ, Worth GA. The photodissociation of ozone: A quasi-classical approach to a quantum dynamics problem. J Mol Graph Model 2007; 26:613-21. [PMID: 17337348 DOI: 10.1016/j.jmgm.2007.01.012] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/20/2006] [Revised: 01/26/2007] [Accepted: 01/29/2007] [Indexed: 10/23/2022]
Abstract
It is extremely difficult to execute full quantum dynamics calculations on complex systems (more then three degrees of freedom) due to the exponential increase in computer resources required by these methods. Classical mechanics simulations do not suffer from this problem, but are unable to treat quantum mechanical phenomena such as non-adiabatic effects, which often play a vital role in photochemical processes. A method has been implemented for carrying out dynamical calculations using quasi-classical theory. The time dependent Schrödinger equation is solved using a swarm of trajectories treated under Newtonian laws and Tully's fewest switches trajectory surface hopping is applied to implement the surface switches. The method was applied to ozone, looking at the photodissociation that takes place after excitation into the Chappuis band of the absorption spectrum. While the goal is to treat larger systems, comparison can be made for ozone with numerically exact wavepacket calculations. The method proved successful at calculating quantities such as the rate of population transfer, but there were discrepancies in the details, especially when surface switching occurred from the lower state.
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Affiliation(s)
- Thomas J Penfold
- School of Chemistry, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK
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17
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Nangia S, Jasper AW, Miller TF, Truhlar DG. Army ants algorithm for rare event sampling of delocalized nonadiabatic transitions by trajectory surface hopping and the estimation of sampling errors by the bootstrap method. J Chem Phys 2006; 120:3586-97. [PMID: 15268520 DOI: 10.1063/1.1641019] [Citation(s) in RCA: 64] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The most widely used algorithm for Monte Carlo sampling of electronic transitions in trajectory surface hopping (TSH) calculations is the so-called anteater algorithm, which is inefficient for sampling low-probability nonadiabatic events. We present a new sampling scheme (called the army ants algorithm) for carrying out TSH calculations that is applicable to systems with any strength of coupling. The army ants algorithm is a form of rare event sampling whose efficiency is controlled by an input parameter. By choosing a suitable value of the input parameter the army ants algorithm can be reduced to the anteater algorithm (which is efficient for strongly coupled cases), and by optimizing the parameter the army ants algorithm may be efficiently applied to systems with low-probability events. To demonstrate the efficiency of the army ants algorithm, we performed atom-diatom scattering calculations on a model system involving weakly coupled electronic states. Fully converged quantum mechanical calculations were performed, and the probabilities for nonadiabatic reaction and nonreactive deexcitation (quenching) were found to be on the order of 10(-8). For such low-probability events the anteater sampling scheme requires a large number of trajectories ( approximately 10(10)) to obtain good statistics and converged semiclassical results. In contrast by using the new army ants algorithm converged results were obtained by running 10(5) trajectories. Furthermore, the results were found to be in excellent agreement with the quantum mechanical results. Sampling errors were estimated using the bootstrap method, which is validated for use with the army ants algorithm.
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Affiliation(s)
- Shikha Nangia
- Department of Chemistry, University of Minnesota, Minneapolis 55455-0431, USA.
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18
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Zhu C, Jasper AW, Truhlar DG. Non-Born-Oppenheimer trajectories with self-consistent decay of mixing. J Chem Phys 2006; 120:5543-57. [PMID: 15267430 DOI: 10.1063/1.1648306] [Citation(s) in RCA: 132] [Impact Index Per Article: 7.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/20/2023] Open
Abstract
A semiclassical trajectory method, called the self-consistent decay of mixing (SCDM) method, is presented for the treatment of electronically nonadiabatic dynamics. The SCDM method is a modification of the semiclassical Ehrenfest (SE) method (also called the semiclassical time-dependent self-consistent-field method) that solves the problem of unphysical mixed final states by including decay-of-mixing terms in the equations for the evolution of the electronic state populations. These terms generate a force, called the decoherent force (or dephasing force), that drives the electronic component of each trajectory toward a pure state. Results for several mixed quantum-classical methods, in particular the SCDM, SE, and natural-decay-of-mixing methods and several trajectory surface hopping methods, are compared to the results of accurate quantum mechanical calculations for 12 cases involving five different fully dimensional triatomic model systems. The SCDM method is found to be the most accurate of the methods tested. The method should be useful for the simulation of photochemical reactions.
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Affiliation(s)
- Chaoyuan Zhu
- Department of Chemistry and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, USA
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19
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Zhu C, Jasper AW, Truhlar DG. Non-Born-Oppenheimer Liouville-von Neumann Dynamics. Evolution of a Subsystem Controlled by Linear and Population-Driven Decay of Mixing with Decoherent and Coherent Switching. J Chem Theory Comput 2005; 1:527-40. [DOI: 10.1021/ct050021p] [Citation(s) in RCA: 92] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022]
Affiliation(s)
- Chaoyuan Zhu
- Department of Chemistry and Supercomputing Institute, 207 Pleasant Street S.E., University of Minnesota, Minneapolis, Minnesota 55455-0431
| | - Ahren W. Jasper
- Department of Chemistry and Supercomputing Institute, 207 Pleasant Street S.E., University of Minnesota, Minneapolis, Minnesota 55455-0431
| | - Donald G. Truhlar
- Department of Chemistry and Supercomputing Institute, 207 Pleasant Street S.E., University of Minnesota, Minneapolis, Minnesota 55455-0431
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20
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Jasper AW, Truhlar DG. Conical intersections and semiclassical trajectories: Comparison to accurate quantum dynamics and analyses of the trajectories. J Chem Phys 2005; 122:44101. [PMID: 15740229 DOI: 10.1063/1.1829031] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Semiclassical trajectory methods are tested for electronically nonadiabatic systems with conical intersections. Five triatomic model systems are presented, and each system features two electronic states that intersect via a seam of conical intersections (CIs). Fully converged, full-dimensional quantum mechanical scattering calculations are carried out for all five systems at energies that allow for electronic de-excitation via the seam of CIs. Several semiclassical trajectory methods are tested against the accurate quantum mechanical results. For four of the five model systems, the diabatic representation is the preferred (most accurate) representation for semiclassical trajectories, as correctly predicted by the Calaveras County criterion. Four surface hopping methods are tested and have overall relative errors of 40%-60%. The semiclassical Ehrenfest method has an overall error of 66%, and the self-consistent decay of mixing (SCDM) and coherent switches with decay of mixing (CSDM) methods are the most accurate methods overall with relative errors of approximately 32%. Furthermore, the CSDM method is less representation dependent than both the SCDM and the surface hopping methods, making it the preferred semiclassical trajectory method. Finally, the behavior of semiclassical trajectories near conical intersections is discussed.
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Affiliation(s)
- Ahren W Jasper
- Department of Chemistry and Supercomputing Institute, University of Minnesota, Minneapolis, MN 55455-0431, USA
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21
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Apaydin G, Fink WH, Jackson WM. Photodissociation of CCH: Classical trajectory calculations involving seven electronic states. J Chem Phys 2004; 121:9368-77. [PMID: 15538856 DOI: 10.1063/1.1793912] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/27/2023] Open
Abstract
The photodissociation dynamics of ethynyl radical, C(2)H, involving seven electronic states is studied by classical trajectory calculations. Initial values of the trajectories are selected based on relative absorption intensities calculated by Mebel et al. The energies and the derivatives are interpolated by three-dimensional cubic spline interpolator using an extended data pool. Mean square errors and standard deviations in interpolation of energies for 450 data points are found to be in the range 3.1 x 10(-6)-1.4 x 10(-5) and 1.7 x 10(-3)-3.8 x 10(-3) hartrees, respectively. The photofragments of C(2) and H are produced mainly in the X (1)Sigma(g) (+), a (3)Pi(u), b (3)Sigma(g) (-), c (3)Sigma(u) (+), A (1)Pi(u), B (1)Delta(g) electronic states of C(2) as product. The avoided crossings do not appear to be in the main dissociation pathways. The internal distributions are in good accord with the experimental results where comparison is possible, suggesting that the fragmentation mechanism of C(2)H(2) into C(2) and H is a two step process involving C(2)H radical as an intermediate with a life time long enough to allow complete collection of the phase space in the experiments.
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Affiliation(s)
- Gökşin Apaydin
- Department of Chemistry, University of California, Davis, California 95616, USA
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22
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Zhu C, Nangia S, Jasper AW, Truhlar DG. Coherent switching with decay of mixing: An improved treatment of electronic coherence for non-Born–Oppenheimer trajectories. J Chem Phys 2004; 121:7658-70. [PMID: 15485225 DOI: 10.1063/1.1793991] [Citation(s) in RCA: 255] [Impact Index Per Article: 12.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/22/2023] Open
Abstract
The self-consistent decay-of-mixing (SCDM) semiclassical trajectory method for electronically nonadiabatic dynamics is improved by modifying the switching probability that determines the instantaneous electronic state toward which the system decoheres. This method is called coherent switching with decay of mixing (CSDM), and it differs from the previously presented SCDM method in that the electronic amplitudes controlling the switching of the decoherent state are treated fully coherently in the electronic equations of motion for each complete passage through a strong interaction region. It is tested against accurate quantum mechanical calculations for 12 atom-diatom scattering test cases. Also tested are the SCDM method and the trajectory surface hopping method of Parlant and Gislason that requires coherent passages through each strong interaction region, and which we call the "exact complete passage" trajectory surface hopping (ECP-TSH) method. The results are compared with previously presented results for the fewest switches with time uncertainty and Tully's fewest switches (TFS) surface hopping methods and the semiclassical Ehrenfest method. We find that the CSDM method is the most accurate of the semiclassical trajectory methods tested. Including coherent passages improves the accuracy of the SCDM method (i.e., the CSDM method is more accurate than the SCDM method) but not of the trajectory surface hopping method (i.e., the ECP-TSH method is not more accurate on average than the TFS method).
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Affiliation(s)
- Chaoyuan Zhu
- Department of Chemistry and Supercomputing Institute, University of Minnesota, Minneapolis, MN 55455-0431, USA
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23
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Song JB, Gislason EA. Theoretical study of collision-induced dissociation in state-selected collisions of H2+(v)+Ar and HD+(v)+Ar. Chem Phys 2003. [DOI: 10.1016/s0301-0104(03)00328-8] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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24
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Improved treatment of momentum at classically forbidden electronic transitions in trajectory surface hopping calculations. Chem Phys Lett 2003. [DOI: 10.1016/s0009-2614(02)01990-5] [Citation(s) in RCA: 81] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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25
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Dumont RS. Time distributions for classically unallowed processes of a two-level system: Nonadiabatic tunneling and above-barrier reflection. J Chem Phys 2002. [DOI: 10.1063/1.1473813] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023] Open
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26
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Jasper AW, Stechmann SN, Truhlar DG. Fewest-switches with time uncertainty: A modified trajectory surface-hopping algorithm with better accuracy for classically forbidden electronic transitions. J Chem Phys 2002. [DOI: 10.1063/1.1453404] [Citation(s) in RCA: 131] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/02/2023] Open
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27
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Marques JMC, Voronin AI, Varandas AJC. Li + Li2 Dissociation Reaction Using the Self-Consistent Potential and Trajectory Surface Hopping Methods. J Phys Chem A 2002. [DOI: 10.1021/jp0144395] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023]
Affiliation(s)
- J. M. C. Marques
- Departamento de Química, Universidade de Coimbra, P-3049 Coimbra Codex, Portugal
| | - A. I. Voronin
- 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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28
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Kamisaka H, Bian W, Nobusada K, Nakamura H. Accurate quantum dynamics of electronically nonadiabatic chemical reactions in the DH2+ system. J Chem Phys 2002. [DOI: 10.1063/1.1418252] [Citation(s) in RCA: 75] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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29
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van Harrevelt R, van Hemert MC, Schatz GC. A Comparative Classical-Quantum Study of the Photodissociation of Water in the B̃ Band. J Phys Chem A 2001. [DOI: 10.1021/jp011871d] [Citation(s) in RCA: 39] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Rob van Harrevelt
- Leiden Institute of Chemistry, Gorlaeus Laboratories, Leiden University, P.O. Box 9502, 2300 RA Leiden, The Netherlands
| | - Marc C. van Hemert
- Leiden Institute of Chemistry, Gorlaeus Laboratories, Leiden University, P.O. Box 9502, 2300 RA Leiden, The Netherlands
| | - George C. Schatz
- Department of Chemistry, Northwestern University, Evanston, Illinois 60208-3113
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30
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Jasper AW, Hack MD, Truhlar DG. The treatment of classically forbidden electronic transitions in semiclassical trajectory surface hopping calculations. J Chem Phys 2001. [DOI: 10.1063/1.1377891] [Citation(s) in RCA: 83] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/22/2023] Open
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31
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Yang G, Herman MF. Semiclassical Surface Hopping H−K Propagator: Application to Two-Dimensional, Two-Surface Problems. J Phys Chem B 2001. [DOI: 10.1021/jp004509s] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/03/2023]
Affiliation(s)
- Guangcan Yang
- Department of Chemistry, Tulane University, New Orleans, Louisiana 70118
| | - Michael F. Herman
- Department of Chemistry, Tulane University, New Orleans, Louisiana 70118
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32
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Micha DA, Stodden CD. An Eikonal Treatment of Electronically Diabatic Photodissociation: Branching Ratios of CH3I. J Phys Chem A 2001. [DOI: 10.1021/jp0037910] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- David A. Micha
- Departments of Chemistry and of Physics, University of Florida, Gainesville, Florida 32611-8435
| | - Clifford D. Stodden
- Departments of Chemistry and of Physics, University of Florida, Gainesville, Florida 32611-8435
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Kaledin AL, Heaven MC, Morokuma K. Theoretical prediction of the rate constant for I+O[sub 2](a [sup 1]Δ[sub g]) electronic energy transfer: A surface-hopping trajectory study. J Chem Phys 2001. [DOI: 10.1063/1.1330205] [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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34
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Nakamura H, Truhlar DG. The direct calculation of diabatic states based on configurational uniformity. J Chem Phys 2001. [DOI: 10.1063/1.1412879] [Citation(s) in RCA: 169] [Impact Index Per Article: 7.3] [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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Takayanagi T, Kurosaki Y. Quantum scattering calculations for the electronically nonadiabatic Br(2P1/2)+H2→HBr+H reaction. J Chem Phys 2000. [DOI: 10.1063/1.1312284] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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36
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Affiliation(s)
- Michael D. Hack
- Department of Chemistry and Supercomputer Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431
| | - Donald G. Truhlar
- Department of Chemistry and Supercomputer Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431
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37
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Volobuev YL, Hack MD, Topaler MS, Truhlar DG. Continuous surface switching: An improved time-dependent self-consistent-field method for nonadiabatic dynamics. J Chem Phys 2000. [DOI: 10.1063/1.481609] [Citation(s) in RCA: 101] [Impact Index Per Article: 4.2] [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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Takayanagi T, Kurosaki Y, Ichihara A. Three-dimensional quantum reactive scattering calculations for the nonadiabatic (D+H2)+ reaction system. J Chem Phys 2000. [DOI: 10.1063/1.480835] [Citation(s) in RCA: 57] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023] Open
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39
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Herman MF. Choosing a good representation of the quantum state wave functions for semiclassical surface hopping calculations. J Chem Phys 1999. [DOI: 10.1063/1.480397] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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40
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Gray SK, Petrongolo C, Drukker K, Schatz GC. Quantum Wave Packet Study of Nonadiabatic Effects in O(1D) + H2 → OH + H. J Phys Chem A 1999. [DOI: 10.1021/jp991601j] [Citation(s) in RCA: 70] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Stephen K. Gray
- Chemistry Division, Argonne National Laboratory, Argonne, Illinois 60439
| | - Carlo Petrongolo
- Department of Chemistry, University of Siena, Via Aldo Moro, I-53100 Siena, Italy
| | - Karen Drukker
- Chemistry Department, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208-3113
| | - George C. Schatz
- Chemistry Department, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208-3113
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41
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Micha DA. Time-Dependent Many-Electron Treatment of Electronic Energy and Charge Transfer in Atomic Collisions. J Phys Chem A 1999. [DOI: 10.1021/jp9906839] [Citation(s) in RCA: 62] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023]
Affiliation(s)
- David A. Micha
- Quantum Theory Project, Departments of Chemistry and of Physics, University of Florida, Gainesville, Florida 32611-8435
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Drukker K, Schatz GC. Quantum scattering study of electronic Coriolis and nonadiabatic coupling effects in O(1D)+H2→OH+H. J Chem Phys 1999. [DOI: 10.1063/1.479522] [Citation(s) in RCA: 81] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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43
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Hack MD, Jasper AW, Volobuev YL, Schwenke DW, Truhlar DG. Quantum Mechanical and Quasiclassical Trajectory Surface Hopping Studies of the Electronically Nonadiabatic Predissociation of the à State of NaH2. J Phys Chem A 1999. [DOI: 10.1021/jp9912049] [Citation(s) in RCA: 70] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Michael D. Hack
- Department of Chemistry and Supercomputer Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, and NASA Ames Research Center, Mail Stop 230-3, Moffett Field, California 94035-1000
| | - Ahren W. Jasper
- Department of Chemistry and Supercomputer Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, and NASA Ames Research Center, Mail Stop 230-3, Moffett Field, California 94035-1000
| | - Yuri L. Volobuev
- Department of Chemistry and Supercomputer Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, and NASA Ames Research Center, Mail Stop 230-3, Moffett Field, California 94035-1000
| | - David W. Schwenke
- Department of Chemistry and Supercomputer Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, and NASA Ames Research Center, Mail Stop 230-3, Moffett Field, California 94035-1000
| | - Donald G. Truhlar
- Department of Chemistry and Supercomputer Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, and NASA Ames Research Center, Mail Stop 230-3, Moffett Field, California 94035-1000
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Volobuev YL, Hack MD, Truhlar DG. Are Semiclassical Methods Accurate for Electronically Nonadiabatic Transitions between Weakly Coupled Potential Energy Surfaces? J Phys Chem A 1999. [DOI: 10.1021/jp9904163] [Citation(s) in RCA: 48] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023]
Affiliation(s)
- Yuri L. Volobuev
- Department of Chemistry and Supercomputer Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431
| | - Michael D. Hack
- Department of Chemistry and Supercomputer Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431
| | - Donald G. Truhlar
- Department of Chemistry and Supercomputer Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431
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Hack MD, Truhlar DG. Analytic potential energy surfaces and their couplings for the electronically nonadiabatic chemical processes Na(3p)+H2→Na(3s)+H2 and Na(3p)+H2→NaH+H. J Chem Phys 1999. [DOI: 10.1063/1.478314] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023] Open
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46
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Zeiri Y, Katz G, Kosloff R, Topaler MS, Truhlar DG, Polanyi JC. Quantum mechanism in the photodissociation of NaFH complex: a challenge to semiclassical analysis. Chem Phys Lett 1999. [DOI: 10.1016/s0009-2614(98)01411-0] [Citation(s) in RCA: 32] [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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48
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49
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Topaler MS, Allison TC, Schwenke DW, Truhlar DG. What is the best semiclassical method for photochemical dynamics of systems with conical intersections? J Chem Phys 1998. [DOI: 10.1063/1.477684] [Citation(s) in RCA: 62] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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50
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Motzkus M, Pichler G, Kompa KL, Hering P. Vibrationally induced formation of NaH in the Na(3p)+H2 collision system: Rate equation model and comparison with experimental results. J Chem Phys 1998. [DOI: 10.1063/1.476383] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/10/2023] Open
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