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Toutounji M. Mixed Quantum-Classical Liouville Equation Treatment of Electronic Spectroscopy of Condensed Systems: Harmonic and Anharmonic Electron-Phonon Coupling. J Chem Theory Comput 2023. [PMID: 37365487 DOI: 10.1021/acs.jctc.2c01225] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/28/2023]
Abstract
This Review integrates the use of electronic optical response function theory and the mixed quantum-classical (MQC) Liouville equation (MQCLE), thereby leading to electronic spectroscopy in MQC media. It further sheds light on the applicability, utility, and efficiency of the mixed quantum-classical dynamics (MQCD) formalism, which starts off with the MQCLE, in probing spectroscopy and dynamics of condensed systems, whereby quantum mechanics and classical mechanics are combined systematically. The author has been exploring and implementing MQCD to investigate electron-phonon coupling effects on electronic dephasing in harmonic and anharmonic systems by calculating linear and nonlinear optical transition analytically and numerically dipole moment time correlation functions in an MQC environment, thereby presenting an in depth spectral profile analysis and their shape and symmetry. The distinctive capability of the MQC time correlation functions is that ergodicity and stationarity properties are inherently satisfied as part of the mixed quantum-classical dynamics (MQCD) framework, unlike classical correlation functions. While some research groups have applied MQCLE to calculate vibrational spectra to study hydrogen-bonded complexes in a MQC environment and other groups calculated Optical response function to probe electron transfer dynamics using the basis mapping technique, the approach, purpose, rigor, applications, and path to the end results reported herein are different. Finally, the same framework is employed to study dissipative systems in the MQC limit, whereby the zero-phonon line adopts the correct width and eliminates its asymmetry. While the full quantum mechanical model, like the multimode Brownian oscillator (MBO) model, yields the correct width and inaccurate shape in the low-temperature limit, the MQCD formalism seems to produce an accurate zero-phonon profile. Nonlinear optical signals are also reviewed in MQC media to show the applicability and utility of this approach. The vibronic optical response functions developed here will account for geometry change, frequency change, and anharmonicity upon electronic excitation to accurately probe electronic dephasing, electron-phonon coupling, shape, and symmetry of profiles and present differences and similarities to the MBO model on pure electronic dephasing. Frequency change and anharmonicity are vitally crucial for accurately assessing electron-phonon coupling upon electronic excitation. This is an additional unique result obtained by the author to further demonstrate the applicability and utility of this approach over other approximation schemes in probing electronic dephasing including that of the MBO model.
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Affiliation(s)
- Mohamad Toutounji
- College of Science, Department of Chemistry, P.O. Box 15551, UAE University, Al-Ain, 33000, UAE
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2
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Gelin MF, Chen L, Domcke W. Equation-of-Motion Methods for the Calculation of Femtosecond Time-Resolved 4-Wave-Mixing and N-Wave-Mixing Signals. Chem Rev 2022; 122:17339-17396. [PMID: 36278801 DOI: 10.1021/acs.chemrev.2c00329] [Citation(s) in RCA: 17] [Impact Index Per Article: 8.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023]
Abstract
Femtosecond nonlinear spectroscopy is the main tool for the time-resolved detection of photophysical and photochemical processes. Since most systems of chemical interest are rather complex, theoretical support is indispensable for the extraction of the intrinsic system dynamics from the detected spectroscopic responses. There exist two alternative theoretical formalisms for the calculation of spectroscopic signals, the nonlinear response-function (NRF) approach and the spectroscopic equation-of-motion (EOM) approach. In the NRF formalism, the system-field interaction is assumed to be sufficiently weak and is treated in lowest-order perturbation theory for each laser pulse interacting with the sample. The conceptual alternative to the NRF method is the extraction of the spectroscopic signals from the solutions of quantum mechanical, semiclassical, or quasiclassical EOMs which govern the time evolution of the material system interacting with the radiation field of the laser pulses. The NRF formalism and its applications to a broad range of material systems and spectroscopic signals have been comprehensively reviewed in the literature. This article provides a detailed review of the suite of EOM methods, including applications to 4-wave-mixing and N-wave-mixing signals detected with weak or strong fields. Under certain circumstances, the spectroscopic EOM methods may be more efficient than the NRF method for the computation of various nonlinear spectroscopic signals.
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Affiliation(s)
- Maxim F Gelin
- School of Science, Hangzhou Dianzi University, Hangzhou 310018, China
| | - Lipeng Chen
- Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany
| | - Wolfgang Domcke
- Department of Chemistry, Technical University of Munich, D-85747 Garching,Germany
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3
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Huang X, Xie W, Došlić N, Gelin MF, Domcke W. Ab Initio Quasiclassical Simulation of Femtosecond Time-Resolved Two-Dimensional Electronic Spectra of Pyrazine. J Phys Chem Lett 2021; 12:11736-11744. [PMID: 34851116 DOI: 10.1021/acs.jpclett.1c03589] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/13/2023]
Abstract
Two-dimensional (2D) electronic spectroscopy is a powerful nonlinear technique which provides spectroscopic information on two frequency axes as well as dynamical information as a function of the so-called waiting time. Herein, an ab initio theoretical framework for the simulation of electronic 2D spectra has been developed. The method is based on the classical approximation to the doorway-window representation of three-pulse photon-echo signals and the description of nuclear motion by classical trajectories. Nonadiabatic effects are taken into account by a trajectory surface-hopping algorithm. 2D electronic spectra were simulated with ab initio on-the-fly trajectory calculations using the ADC(2) electronic-structure method for the pyrazine molecule, which is a benchmark system for ultrafast radiationless decay through conical intersections. It is demonstrated that 2D spectroscopy with subfemtosecond UV pulses can provide unprecedented detailed information on the ultrafast photodynamics of polyatomic molecules.
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Affiliation(s)
- Xiang Huang
- Department of Chemistry, Technical University of Munich, Garching, D-85747, Germany
| | - Weiwei Xie
- Institute of Physical Chemistry, Karlsruhe Institute of Technology, Karlsruhe, 76131, Germany
| | - Nađa Došlić
- Department of Physical Chemistry, Ruder Boscovic Institute, Zagreb, HR-10000, Croatia
| | - Maxim F Gelin
- School of Sciences, Hangzhou Dianzi University, Hangzhou, 310018, China
| | - Wolfgang Domcke
- Department of Chemistry, Technical University of Munich, Garching, D-85747, Germany
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4
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Gelin MF, Huang X, Xie W, Chen L, Došlić NA, Domcke W. Ab Initio Surface-Hopping Simulation of Femtosecond Transient-Absorption Pump-Probe Signals of Nonadiabatic Excited-State Dynamics Using the Doorway-Window Representation. J Chem Theory Comput 2021; 17:2394-2408. [PMID: 33755464 DOI: 10.1021/acs.jctc.1c00109] [Citation(s) in RCA: 13] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/22/2023]
Abstract
An ab initio theoretical framework for the simulation of femtosecond time-resolved transient absorption (TA) pump-probe (PP) spectra with quasi-classical trajectories is presented. The simulations are based on the classical approximation to the doorway-window (DW) representation of third-order four-wave-mixing signals. The DW formula accounts for the finite duration and spectral shape of the pump and probe pulses. In the classical DW formalism, classical trajectories are stochastically sampled from a positive definite doorway distribution, and the signals are evaluated by averaging over a positive definite window distribution. Nonadiabatic excited-state dynamics is described by a stochastic surface-hopping algorithm. The method has been implemented for the pyrazine molecule with the second-order algebraic-diagrammatic construction (ADC(2)) ab initio electronic-structure method. The methodology is illustrated by ab initio simulations of the ground-state bleach, stimulated emission, and excited-state absorption contributions to the TA PP spectrum of gas-phase pyrazine.
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Affiliation(s)
- Maxim F Gelin
- School of Sciences, Hangzhou Dianzi University, Hangzhou 310018, China
| | - Xiang Huang
- Department of Chemistry, Technical University of Munich, D-85747 Garching, Germany
| | - Weiwei Xie
- Institute of Physical Chemistry, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
| | - Lipeng Chen
- Max Planck Institute for the Physics of Complex Systems, D-01187 Dresden, Germany
| | - Nad A Došlić
- Department of Physical Chemistry, Ruder Boscovic Institute, HR-10000 Zagreb, Croatia
| | - Wolfgang Domcke
- Department of Chemistry, Technical University of Munich, D-85747 Garching, Germany
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5
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Begušić T, Vaníček J. On-the-fly ab initio semiclassical evaluation of third-order response functions for two-dimensional electronic spectroscopy. J Chem Phys 2020; 153:184110. [DOI: 10.1063/5.0031216] [Citation(s) in RCA: 16] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022] Open
Affiliation(s)
- Tomislav Begušić
- Laboratory of Theoretical Physical Chemistry, Institut des Sciences et Ingénierie Chimiques, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
| | - Jiří Vaníček
- Laboratory of Theoretical Physical Chemistry, Institut des Sciences et Ingénierie Chimiques, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
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6
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Tikhonov DS, Datta A, Chopra P, Steber AL, Manschwetus B, Schnell M. Approaching black-box calculations of pump-probe fragmentation dynamics of polyatomic molecules. Z PHYS CHEM 2020. [DOI: 10.1515/zpch-2020-0009] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023]
Abstract
Abstract
A general framework for the simulation of ultrafast pump-probe time resolved experiments based on Born-Oppenheimer molecular dynamics (BOMD) is presented. Interaction of the molecular species with a laser is treated by a simple maximum entropy distribution of the excited state occupancies. The latter decay of the electronic excitation into the vibrations is based on an on-the-fly estimation of the rate of the internal conversion, while the energy is distributed in a thermostat-like fashion. The approach was tested by reproducing the results of previous femtosecond studies on ethylene, naphthalene and new results for phenanthrene.
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Affiliation(s)
- Denis S. Tikhonov
- Deutsches Elektronen-Synchrotron (DESY) , Notkestr. 85 , D-22607 Hamburg , Germany
- Institute of Physical Chemistry , Christian-Albrechts-Universität zu Kiel , Max-Eyth-Str. 1 , D-24118 Kiel , Germany
| | - Amlan Datta
- Department of Physical Sciences , Indian Institute of Science Education and Research Kolkata , Mohanpur , Nadia , West Bengal 741246 , India
| | - Pragya Chopra
- Deutsches Elektronen-Synchrotron (DESY) , Notkestr. 85 , D-22607 Hamburg , Germany
- Institute of Physical Chemistry , Christian-Albrechts-Universität zu Kiel , Max-Eyth-Str. 1 , D-24118 Kiel , Germany
| | - Amanda L. Steber
- Deutsches Elektronen-Synchrotron (DESY) , Notkestr. 85 , D-22607 Hamburg , Germany
- Institute of Physical Chemistry , Christian-Albrechts-Universität zu Kiel , Max-Eyth-Str. 1 , D-24118 Kiel , Germany
| | - Bastian Manschwetus
- Deutsches Elektronen-Synchrotron (DESY) , Notkestr. 85 , D-22607 Hamburg , Germany
| | - Melanie Schnell
- Deutsches Elektronen-Synchrotron (DESY) , Notkestr. 85 , D-22607 Hamburg , Germany
- Institute of Physical Chemistry , Christian-Albrechts-Universität zu Kiel , Max-Eyth-Str. 1 , D-24118 Kiel , Germany
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7
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Picconi D, Cina JA, Burghardt I. Quantum dynamics and spectroscopy of dihalogens in solid matrices. II. Theoretical aspects and G-MCTDH simulations of time-resolved coherent Raman spectra of Schrödinger cat states of the embedded I 2Kr 18 cluster. J Chem Phys 2019; 150:064112. [PMID: 30769994 DOI: 10.1063/1.5082651] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
This study presents quantum dynamical simulations, using the Gaussian-based multiconfigurational time-dependent Hartree (G-MCTDH) method, of time-resolved coherent Raman four-wave-mixing spectroscopic experiments for the iodine molecule embedded in a cryogenic crystal krypton matrix [D. Picconi et al., J. Chem. Phys. 150, 064111 (2019)]. These experiments monitor the time-evolving vibrational coherence between two wave packets created in a quantum superposition (i.e., a "Schrödinger cat state") by a pair of pump pulses which induce electronic B Πu30+⟵XΣg+1 transitions. A theoretical description of the spectroscopic measurement is developed, which elucidates the connection between the nonlinear signals and the wave packet coherence. The analysis provides an effective means to simulate the spectra for several different optical conditions with a minimum number of quantum dynamical propagations. The G-MCTDH method is used to calculate and interpret the time-resolved coherent Raman spectra of two selected initial superpositions for a I2Kr18 cluster embedded in a frozen Kr cage. The time- and frequency-dependent signals carry information about the molecular mechanisms of dissipation and decoherence, which involve vibrational energy transfer to the stretching mode of the four "belt" Kr atoms. The details of these processes and the number of active solvent modes depend in a non-trivial way on the specific initial superposition.
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Affiliation(s)
- David Picconi
- Institute of Physical and Theoretical Chemistry, Goethe University Frankfurt, Max-von-Laue-Straße 7, D-60438 Frankfurt am Main, Germany
| | - Jeffrey A Cina
- Department of Chemistry and Biochemistry, and Oregon Center for Optical, Molecular, and Quantum Science, University of Oregon, Eugene, Oregon 97403, USA
| | - Irene Burghardt
- Institute of Physical and Theoretical Chemistry, Goethe University Frankfurt, Max-von-Laue-Straße 7, D-60438 Frankfurt am Main, Germany
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8
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Haldrup K, Levi G, Biasin E, Vester P, Laursen MG, Beyer F, Kjær KS, Brandt van Driel T, Harlang T, Dohn AO, Hartsock RJ, Nelson S, Glownia JM, Lemke HT, Christensen M, Gaffney KJ, Henriksen NE, Møller KB, Nielsen MM. Ultrafast X-Ray Scattering Measurements of Coherent Structural Dynamics on the Ground-State Potential Energy Surface of a Diplatinum Molecule. PHYSICAL REVIEW LETTERS 2019; 122:063001. [PMID: 30822093 DOI: 10.1103/physrevlett.122.063001] [Citation(s) in RCA: 43] [Impact Index Per Article: 8.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/16/2018] [Indexed: 05/21/2023]
Abstract
We report x-ray free electron laser experiments addressing ground-state structural dynamics of the diplatinum anion Pt_{2}POP_{4} following photoexcitation. The structural dynamics are tracked with <100 fs time resolution by x-ray scattering, utilizing the anisotropic component to suppress contributions from the bulk solvent. The x-ray data exhibit a strong oscillatory component with period 0.28 ps and decay time 2.2 ps, and structural analysis of the difference signal directly shows this as arising from ground-state dynamics along the PtPt coordinate. These results are compared with multiscale Born-Oppenheimer molecular dynamics simulations and demonstrate how off-resonance excitation can be used to prepare a vibrationally cold excited-state population complemented by a structure-dependent depletion of the ground-state population which subsequently evolves in time, allowing direct tracking of ground-state structural dynamics.
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Affiliation(s)
- Kristoffer Haldrup
- Technical University of Denmark, Department of Physics, Fysikvej 307, DK-2800 Kongens Lyngby, Denmark
| | - Gianluca Levi
- Technical University of Denmark, Department of Chemistry, Kemitorvet 207, DK-2800 Kongens Lyngby, Denmark
- Current address: Science Institute of the University of Iceland, VR-III, 107 Reykjavík, Iceland
| | - Elisa Biasin
- Technical University of Denmark, Department of Physics, Fysikvej 307, DK-2800 Kongens Lyngby, Denmark
- PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - Peter Vester
- Technical University of Denmark, Department of Physics, Fysikvej 307, DK-2800 Kongens Lyngby, Denmark
| | - Mads Goldschmidt Laursen
- Technical University of Denmark, Department of Physics, Fysikvej 307, DK-2800 Kongens Lyngby, Denmark
| | - Frederik Beyer
- Technical University of Denmark, Department of Physics, Fysikvej 307, DK-2800 Kongens Lyngby, Denmark
| | - Kasper Skov Kjær
- Technical University of Denmark, Department of Physics, Fysikvej 307, DK-2800 Kongens Lyngby, Denmark
- PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
- Department of Chemical Physics, Lund University, Box 118, S-22100 Lund, Sweden
| | - Tim Brandt van Driel
- Technical University of Denmark, Department of Physics, Fysikvej 307, DK-2800 Kongens Lyngby, Denmark
- LCLS, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - Tobias Harlang
- Technical University of Denmark, Department of Physics, Fysikvej 307, DK-2800 Kongens Lyngby, Denmark
- Department of Chemical Physics, Lund University, Box 118, S-22100 Lund, Sweden
| | - Asmus O Dohn
- Technical University of Denmark, Department of Chemistry, Kemitorvet 207, DK-2800 Kongens Lyngby, Denmark
- Science Institute of the University of Iceland, VR-III, 107 Reykjavík, Iceland
| | - Robert J Hartsock
- PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - Silke Nelson
- LCLS, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - James M Glownia
- LCLS, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - Henrik T Lemke
- LCLS, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
- SwissFEL, Paul Scherrer Institut, 5232 Villigen PSI, Switzerland
| | - Morten Christensen
- Technical University of Denmark, Department of Physics, Fysikvej 307, DK-2800 Kongens Lyngby, Denmark
| | - Kelly J Gaffney
- PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - Niels E Henriksen
- Technical University of Denmark, Department of Chemistry, Kemitorvet 207, DK-2800 Kongens Lyngby, Denmark
| | - Klaus B Møller
- Technical University of Denmark, Department of Chemistry, Kemitorvet 207, DK-2800 Kongens Lyngby, Denmark
| | - Martin M Nielsen
- Technical University of Denmark, Department of Physics, Fysikvej 307, DK-2800 Kongens Lyngby, Denmark
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9
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Antipov SV, Bhattacharyya S, El Hage K, Xu ZH, Meuwly M, Rothlisberger U, Vaníček J. Ultrafast dynamics induced by the interaction of molecules with electromagnetic fields: Several quantum, semiclassical, and classical approaches. STRUCTURAL DYNAMICS (MELVILLE, N.Y.) 2017; 4:061509. [PMID: 29376107 PMCID: PMC5758379 DOI: 10.1063/1.4996559] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 07/17/2017] [Accepted: 10/11/2017] [Indexed: 06/07/2023]
Abstract
Several strategies for simulating the ultrafast dynamics of molecules induced by interactions with electromagnetic fields are presented. After a brief overview of the theory of molecule-field interaction, we present several representative examples of quantum, semiclassical, and classical approaches to describe the ultrafast molecular dynamics, including the multiconfiguration time-dependent Hartree method, Bohmian dynamics, local control theory, semiclassical thawed Gaussian approximation, phase averaging, dephasing representation, molecular mechanics with proton transfer, and multipolar force fields. In addition to the general overview, some focus is given to the description of nuclear quantum effects and to the direct dynamics, in which the ab initio energies and forces acting on the nuclei are evaluated on the fly. Several practical applications, performed within the framework of the Swiss National Center of Competence in Research "Molecular Ultrafast Science and Technology," are presented: These include Bohmian dynamics description of the collision of H with H2, local control theory applied to the photoinduced ultrafast intramolecular proton transfer, semiclassical evaluation of vibrationally resolved electronic absorption, emission, photoelectron, and time-resolved stimulated emission spectra, infrared spectroscopy of H-bonding systems, and multipolar force fields applications in the condensed phase.
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Affiliation(s)
- Sergey V Antipov
- Laboratory of Theoretical Physical Chemistry, Institut des Sciences et Ingénierie Chimiques, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
| | - Swarnendu Bhattacharyya
- Laboratory of Computational Chemistry and Biochemistry, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
| | - Krystel El Hage
- Department of Chemistry, University of Basel, Klingelbergstrasse 80, CH-4056 Basel, Switzerland
| | - Zhen-Hao Xu
- Department of Chemistry, University of Basel, Klingelbergstrasse 80, CH-4056 Basel, Switzerland
| | - Markus Meuwly
- Department of Chemistry, University of Basel, Klingelbergstrasse 80, CH-4056 Basel, Switzerland
| | - Ursula Rothlisberger
- Laboratory of Computational Chemistry and Biochemistry, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
| | - Jiří Vaníček
- Laboratory of Theoretical Physical Chemistry, Institut des Sciences et Ingénierie Chimiques, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
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10
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Fedunov RG, Plotnikova AV, Ivanov AI, Vauthey E. Simulations of the Ultrafast Transient Absorption Dynamics of a Donor–Acceptor Biaryl in Solution. J Phys Chem A 2017; 121:471-481. [DOI: 10.1021/acs.jpca.6b11581] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Roman G. Fedunov
- Volgograd State University, University
Avenue 100, Volgograd 400062, Russia
| | | | - Anatoly I. Ivanov
- Volgograd State University, University
Avenue 100, Volgograd 400062, Russia
| | - Eric Vauthey
- Department
of Physical Chemistry, University of Geneva, 30 quai Ernest-Ansermet, CH-1211 Geneva 4, Switzerland
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11
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Zimmermann T, Vaníček J. Efficient on-the-fly ab initio semiclassical method for computing time-resolved nonadiabatic electronic spectra with surface hopping or Ehrenfest dynamics. J Chem Phys 2015; 141:134102. [PMID: 25296779 DOI: 10.1063/1.4896735] [Citation(s) in RCA: 34] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We derive a somewhat crude, yet very efficient semiclassical approximation for computing nonadiabatic spectra. The resulting method, which is a generalization of the multiple-surface dephasing representation, includes quantum effects through interference of mixed quantum-classical trajectories and through quantum treatment of the collective electronic degree of freedom. The method requires very little computational effort beyond the fewest-switches surface hopping or Ehrenfest locally mean-field dynamics and is very easy to implement. The proposed approximation is tested by computing the absorption and time-resolved stimulated emission spectra of pyrazine using the four-dimensional three-surface model which allows for comparison with the numerically exact quantum spectra. As expected, the multiple-surface dephasing representation is not suitable for high-resolution linear spectra, yet it seems to capture all the important features of pump-probe spectra. Finally, the method is combined with on-the-fly ab initio evaluation of the electronic structure (i.e., energies, forces, electric-dipole, and nonadiabatic couplings) in order to compute fully dimensional nonadiabatic spectra of pyrazine without approximations inherent to analytical, including vibronic-coupling models. The Appendix provides derivations of perturbative expressions for linear and pump-probe spectra of arbitrary mixed states and for arbitrary laser pulse shapes.
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Affiliation(s)
- Tomáš Zimmermann
- Laboratory of Theoretical Physical Chemistry, Institut des Sciences et Ingénierie Chimiques, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
| | - Jiří Vaníček
- Laboratory of Theoretical Physical Chemistry, Institut des Sciences et Ingénierie Chimiques, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
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12
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Fedunov RG, Plotnikova AV, Ionkin VN, Ivanov AI. Dynamics of ground state absorption spectra in donor-acceptor pairs with ultrafast charge recombination. J Phys Chem A 2015; 119:1964-72. [PMID: 25686470 DOI: 10.1021/acs.jpca.5b00725] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
A theoretical approach to simulation of the transient spectra in molecular systems with ultrafast photoinduced nonradiative electronic transitions is developed. The evolution of the excited and ground state populations as well as the nonradiative transitions between them are calculated in the framework of the stochastic multichannel point-transition model involving the reorganization of the medium and the intramolecular high frequency vibrational modes. Simulations of transient spectra of donor-acceptor pairs excited in the charge-transfer band that are accompanied by ultrafast charge recombination into the ground state demonstrate a possibility of positive band appearance in the transient absorption spectrum caused by those systems in the ground state, which returned there from the excited state. The region of the parameters of the donor-acceptor systems where a positive ground state absorption signal can be observed is discussed. A qualitative comparison of the simulated transient spectra with the experimental data on betaine-30 is presented.
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Affiliation(s)
- Roman G Fedunov
- Volgograd State University , University Avenue 100, Volgograd 400062, Russia
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13
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Šulc M, Hernández H, Martínez TJ, Vaníček J. Relation of exact Gaussian basis methods to the dephasing representation: theory and application to time-resolved electronic spectra. J Chem Phys 2014; 139:034112. [PMID: 23883015 DOI: 10.1063/1.4813124] [Citation(s) in RCA: 31] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We recently showed that the dephasing representation (DR) provides an efficient tool for computing ultrafast electronic spectra and that further acceleration is possible with cellularization [M. Šulc and J. Vaníček, Mol. Phys. 110, 945 (2012)]. Here, we focus on increasing the accuracy of this approximation by first implementing an exact Gaussian basis method, which benefits from the accuracy of quantum dynamics and efficiency of classical dynamics. Starting from this exact method, the DR is derived together with ten other methods for computing time-resolved spectra with intermediate accuracy and efficiency. These methods include the Gaussian DR, an exact generalization of the DR, in which trajectories are replaced by communicating frozen Gaussian basis functions evolving classically with an average Hamiltonian. The newly obtained methods are tested numerically on time correlation functions and time-resolved stimulated emission spectra in the harmonic potential, pyrazine S0∕S1 model, and quartic oscillator. Numerical results confirm that both the Gaussian basis method and the Gaussian DR increase the accuracy of the DR. Surprisingly, in chaotic systems the Gaussian DR can outperform the presumably more accurate Gaussian basis method, in which the two bases are evolved separately.
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Affiliation(s)
- Miroslav Šulc
- Laboratory of Theoretical Physical Chemistry, Institut des Sciences et Ingénierie Chimiques, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
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14
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Kocia L, Heller EJ. Generalized dephasing relation for fidelity and application as an efficient propagator. J Chem Phys 2013; 139:124110. [DOI: 10.1063/1.4820880] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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15
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Zambrano E, Šulc M, Vaníček J. Improving the accuracy and efficiency of time-resolved electronic spectra calculations: Cellular dephasing representation with a prefactor. J Chem Phys 2013; 139:054109. [DOI: 10.1063/1.4817005] [Citation(s) in RCA: 14] [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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16
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Goldschleger IU, van Staveren MN, Ara Apkarian V. Quantum tomography of a molecular bond in ice. J Chem Phys 2013; 139:034201. [DOI: 10.1063/1.4813437] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- I. U. Goldschleger
- Department of Chemistry, University of California, Irvine, California 92697-2025, USA
| | - M. N. van Staveren
- Department of Chemistry, University of California, Irvine, California 92697-2025, USA
| | - V. Ara Apkarian
- Department of Chemistry, University of California, Irvine, California 92697-2025, USA
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17
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Zimmermann T, Vaníček J. Evaluation of the importance of spin-orbit couplings in the nonadiabatic quantum dynamics with quantum fidelity and with its efficient "on-the-fly" ab initio semiclassical approximation. J Chem Phys 2013; 137:22A516. [PMID: 23249053 DOI: 10.1063/1.4738878] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We propose to measure the importance of spin-orbit couplings (SOCs) in the nonadiabatic molecular quantum dynamics rigorously with quantum fidelity. To make the criterion practical, quantum fidelity is estimated efficiently with the multiple-surface dephasing representation (MSDR). The MSDR is a semiclassical method that includes nuclear quantum effects through interference of mixed quantum-classical trajectories without the need for the Hessian of potential energy surfaces. Two variants of the MSDR are studied, in which the nuclei are propagated either with the fewest-switches surface hopping or with the locally mean field dynamics. The fidelity criterion and MSDR are first tested on one-dimensional model systems amenable to numerically exact quantum dynamics. Then, the MSDR is combined with "on-the-fly" computed electronic structure to measure the importance of SOCs and nonadiabatic couplings in the photoisomerization dynamics of CH(2)NH(2)(+) considering 20 electronic states and in the collision of F + H(2) considering six electronic states.
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Affiliation(s)
- Tomáš Zimmermann
- Laboratory of Theoretical Physical Chemistry, Institut des Sciences et Ingénierie Chimiques, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
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18
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Zimmermann T, Vaníček J. Measuring nonadiabaticity of molecular quantum dynamics with quantum fidelity and with its efficient semiclassical approximation. J Chem Phys 2012; 136:094106. [PMID: 22401428 DOI: 10.1063/1.3690458] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We propose to measure nonadiabaticity of molecular quantum dynamics rigorously with the quantum fidelity between the Born-Oppenheimer and fully nonadiabatic dynamics. It is shown that this measure of nonadiabaticity applies in situations where other criteria, such as the energy gap criterion or the extent of population transfer, fail. We further propose to estimate this quantum fidelity efficiently with a generalization of the dephasing representation to multiple surfaces. Two variants of the multiple-surface dephasing representation (MSDR) are introduced, in which the nuclei are propagated either with the fewest-switches surface hopping or with the locally mean field dynamics (LMFD). The LMFD can be interpreted as the Ehrenfest dynamics of an ensemble of nuclear trajectories, and has been used previously in the nonadiabatic semiclassical initial value representation. In addition to propagating an ensemble of classical trajectories, the MSDR requires evaluating nonadiabatic couplings and solving the Schrödinger (or more generally, the quantum Liouville-von Neumann) equation for a single discrete degree of freedom. The MSDR can be also used in the diabatic basis to measure the importance of the diabatic couplings. The method is tested on three model problems introduced by Tully and on a two-surface model of dissociation of NaI.
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Affiliation(s)
- Tomáš Zimmermann
- Laboratory of Theoretical Physical Chemistry, Institut des Sciences et Ingénierie Chimiques, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015, Lausanne, Switzerland
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19
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Petersen J, Henriksen NE, Møller KB. Validity of the Bersohn–Zewail model beyond justification. Chem Phys Lett 2012. [DOI: 10.1016/j.cplett.2012.05.022] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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20
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Šulc M, Vaníček J. Accelerating the calculation of time-resolved electronic spectra with the cellular dephasing representation. Mol Phys 2012. [DOI: 10.1080/00268976.2012.668971] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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21
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Mollica C, Zimmermann T, Vaníček J. Efficient sampling avoids the exponential wall in classical simulations of fidelity. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2011; 84:066205. [PMID: 22304176 DOI: 10.1103/physreve.84.066205] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/26/2011] [Indexed: 05/31/2023]
Abstract
We analyze the efficiency of available algorithms for the simulation of classical fidelity and show that their computational costs increase exponentially with the number of degrees of freedom. Then we present an algorithm for which the number of trajectories needed for convergence is independent of the system's dimensionality and show that, within a continuous family of algorithms, this algorithm is the only one with this property. Simultaneously we propose a general analytical approach to estimate efficiency of trajectory-based methods and suggest how to use it to accelerate calculations of other classical correlation functions. Converged numerical results are provided for systems with phase space volume 2^{1700} times larger than the volume of the initial state.
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Affiliation(s)
- Cesare Mollica
- Laboratory of Theoretical Physical Chemistry, Institut des Sciences et Ingénierie Chimiques, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
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22
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Mollica C, Vaníček J. Beating the efficiency of both quantum and classical simulations with a semiclassical method. PHYSICAL REVIEW LETTERS 2011; 107:214101. [PMID: 22181883 DOI: 10.1103/physrevlett.107.214101] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/18/2011] [Indexed: 05/16/2023]
Abstract
While rigorous quantum dynamical simulations of many-body systems are extremely difficult (or impossible) due to exponential scaling with dimensionality, the corresponding classical simulations ignore quantum effects. Semiclassical methods are generally more efficient but less accurate than quantum methods and more accurate but less efficient than classical methods. We find a remarkable exception to this rule by showing that a semiclassical method can be both more accurate and faster than a classical simulation. Specifically, we prove that for the semiclassical dephasing representation the number of trajectories needed to simulate quantum fidelity is independent of dimensionality and also that this semiclassical method is even faster than the most efficient corresponding classical algorithm. Analytical results are confirmed with simulations of fidelity in up to 100 dimensions with 2(1700)-dimensional Hilbert space.
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Affiliation(s)
- Cesare Mollica
- Laboratory of Theoretical Physical Chemistry, Institut des Sciences et Ingénierie Chimiques, Ecole Polytechnique Fédérale de Lausanne, Switzerland
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23
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Uranga-Piña L, Meier C, Rubayo-Soneira J. Response of solid Ne upon photoexcitation of a NO impurity: A quantum dynamics study. J Chem Phys 2011; 135:164504. [DOI: 10.1063/1.3646507] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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24
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Johnson ML, Benjamin I. Photodissociation of ICN at the Water/Chloroform Interface. J Phys Chem A 2009; 113:7403-11. [DOI: 10.1021/jp900153j] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Mindy L. Johnson
- Department of Chemistry and Biochemistry, University of California, Santa Cruz, California 95064
| | - Ilan Benjamin
- Department of Chemistry and Biochemistry, University of California, Santa Cruz, California 95064
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25
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Toutounji M. Algebraic approach to electronic spectroscopy and dynamics. J Chem Phys 2008; 128:164103. [DOI: 10.1063/1.2903748] [Citation(s) in RCA: 22] [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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26
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Zhu H, May V, Röder B, Renger T. Linear absorbance of the pheophorbide-a butanediamine dendrimer P4 in solution: Computational studies using a mixed quantum classical methodology. J Chem Phys 2008; 128:154905. [DOI: 10.1063/1.2890721] [Citation(s) in RCA: 23] [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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27
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Henriksen NE, Møller KB. On the Theory of Time-Resolved X-ray Diffraction. J Phys Chem B 2007; 112:558-67. [DOI: 10.1021/jp075497e] [Citation(s) in RCA: 55] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/14/2023]
Affiliation(s)
- Niels E. Henriksen
- CMM, Department of Chemistry, Building 207, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark
| | - Klaus B. Møller
- CMM, Department of Chemistry, Building 207, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark
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28
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Castro Palacio JC, Velazquez Abad L, Lombardi A, Aquilanti V, Rubayo Soneíra J. Normal and hyperspherical mode analysis of NO-doped Kr crystals upon Rydberg excitation of the impurity. J Chem Phys 2007; 126:174701. [PMID: 17492873 DOI: 10.1063/1.2730786] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Molecular dynamics simulations and both normal mode and hyperspherical mode analyses of NO-doped Kr solid are carried out in order to get insights into the structural relaxation of the medium upon electronic excitation of the NO molecule. A combined study is reported on the time evolution of the cage radius and on the density of vibrational states, according to the hyperspherical and normal mode analyses. For the hyperspherical modes, hyper-radial and grand angular contributions are considered. For the normal modes, radial and tangential contributions are examined. Results show that the first shell radius dynamics is driven by modes with frequencies at approximately 47 and approximately 15 cm-1. The first one is related to the ultrafast regime where a large part of the energy is transmitted to the lattice and the second one to relaxation and slow redistribution of the energy. The density of vibrational states gamma(omega) is characterized by a broad distribution of bands peaking around the frequencies of approximately 13, approximately 19, approximately 25, approximately 31, approximately 37, approximately 47, and approximately 103 cm-1 (very small band). The dominant modes in the relaxation process were at 14.89, 23.49, and 53.78 cm-1; they present the largest amplitudes and the greatest energy contributions. The mode at 14.89 cm-1 is present in both the fit of the first shell radius and in the hyper-radial kinetic energy spectrum and resulted the one with the largest amplitude, although could not be revealed by the total kinetic energy power spectrum.
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Affiliation(s)
- J C Castro Palacio
- Departamento de Física, Universidad de Pinar del Río, Martí 270, Esquina 27 de Noviembre, Pinar del Río 20100, Cuba.
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29
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Castro-Palacios JC, Rubayo-Soneira J, Ishii K, Yamashita K. Ab initio ground and excited state potential energy surfaces for NO-Kr complex and dynamics of Kr solids with NO impurity. J Chem Phys 2007; 126:134315. [PMID: 17430040 DOI: 10.1063/1.2715947] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The intermolecular potentials for the NO(X 2Pi)-Kr and NO(A 2Sigma+)-Kr systems have been calculated using highly accurate ab initio calculations. The spin-restricted coupled cluster method for the ground 1 2A' state [NO(X 2Pi)-Kr] and the multireference singles and doubles configuration interaction method for the excited 2 2A' state [NO(A 2Sigma+)-Kr], respectively, were used. The potential energy surfaces (PESs) show two linear wells and one that is almost in the perpendicular position. An analytical representation of the PESs has been constructed for the triatomic systems and used to carry out molecular dynamics (MD) simulations of the NO-doped krypton matrix response after excitation of NO. MD results are shown comparatively for three sets of potentials: (1) anisotropic ab initio potentials [NO molecule direction fixed during the dynamics and considered as a point (its center of mass)], (2) isotropic ab initio potentials (isotropic part in a Legendre polynomial expansion of the PESs), and (3) fitted Kr-NO potentials to the spectroscopic data. An important finding of this work is that the anisotropic and isotropic ab initio potentials calculated for the Kr-NO triatomic system are not suitable for describing the dynamics of structural relaxation upon Rydberg excitation of a NO impurity in the crystal. However, the isotropic ab initio potential in the ground state almost overlaps the published experimental potential, being almost independent of the angle asymmetry. This fact is also manifested in the radial distribution function around NO. However, in the case of the excited state the isotropic ab initio potential differs from the fitted potentials, which indicates that the Kr-NO interaction in the matrix is quite different because of the presence of the surrounding Kr atoms acting on the NO molecule. MD simulations for isotropic potentials reasonably reproduce the experimental observables for the femtosecond response and the bubble size but do not match spectroscopic results. A general overall view of the results suggests that, when the Kr-NO interaction takes place inside the matrix, potentials are rather symmetric and less repulsive than those for the triatomic system.
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30
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Ungar LW, Cina JA. Short-Time Fluorescence Stokes Shift Dynamics. ADVANCES IN CHEMICAL PHYSICS 2007. [DOI: 10.1002/9780470141595.ch2] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/29/2022]
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31
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Bixon M, Jortner J. Electron Transfer-from Isolated Molecules to Biomolecules. ADVANCES IN CHEMICAL PHYSICS 2007. [DOI: 10.1002/9780470141656.ch3] [Citation(s) in RCA: 232] [Impact Index Per Article: 13.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
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32
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Domcke W, Stock G. Theory of Ultrafast Nonadiabatic Excited-State Processes and their Spectroscopic Detection in Real Time. ADVANCES IN CHEMICAL PHYSICS 2007. [DOI: 10.1002/9780470141595.ch1] [Citation(s) in RCA: 250] [Impact Index Per Article: 14.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
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33
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Mitrić R, Bonacić-Koutecký V, Pittner J, Lischka H. Ab initio nonadiabatic dynamics study of ultrafast radiationless decay over conical intersections illustrated on the Na3F cluster. J Chem Phys 2006; 125:24303. [PMID: 16848580 DOI: 10.1063/1.2209233] [Citation(s) in RCA: 40] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present a theoretical approach for the ultrafast nonadiabatic dynamics based on the ab initio molecular dynamics carried out "on the fly" in the framework of the configuration interaction method combined with Tully's surface hopping algorithm for nonadiabatic transitions. This approach combined with our Wigner distribution approach allows us to perform accurate simulations of femtosecond pump-probe spectra in the systems where radiationless transitions among electronic states take place. In this paper we illustrate this by theoretical simulation of ultrafast processes and nonradiative relaxation in the Na(3)F cluster, involving three excited states and the ground electronic state. Furthermore, we show that our accurate simulation of the photoionization pump-probe spectrum is in full agreement with the experimental signal. Based on the nonadiabatic dynamics at high level of accuracy and taking into account all degrees of freedom, the nonradiative lifetime for the 1 (1)B(1) excited state of Na(3)F has been determined to be approximately 900 fs.
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Affiliation(s)
- Roland Mitrić
- Institut für Chemie, Humboldt-Universität zu Berlin, Brook-Taylor-Strasse 2, D-12489 Berlin, Germany
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34
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Bonacić-Koutecký V, Mitrić R. Theoretical Exploration of Ultrafast Dynamics in Atomic Clusters: Analysis and Control. Chem Rev 2004; 105:11-66. [PMID: 15720151 DOI: 10.1021/cr0206925] [Citation(s) in RCA: 73] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Vlasta Bonacić-Koutecký
- Institut für Chemie, Humboldt-Universität zu Berlin, Brook-Taylor-Strasse 2, D-12489 Berlin, Germany.
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35
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Heitz MC, Durand G, Spiegelman F, Meier C, Mitrić R, Bonacić-Koutecký V. Ultrafast excited state dynamics of the Na3F cluster: Quantum wave packet and classical trajectory calculations compared to experimental results. J Chem Phys 2004; 121:9906-16. [PMID: 15549864 DOI: 10.1063/1.1802451] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Short-time, excited-state dynamics of the lowest isomer of the Na(3)F cluster is studied theoretically in order to interpret the features of recent time-resolved pump-probe ionization experiments [J. M. L'Hermite, V. Blanchet, A. Le Padellec, B. Lamory, and P. Labastie, Eur. Phys. J. D 28, 361 (2004)]. In the present paper, we propose an identification of the vibrational motion responsible for the oscillations in the ion signal, on the basis of quantum mechanical wave packet propagations and classical trajectory calculations. The good agreement between experiment and theory allows for a clear interpretation of the detected dynamics.
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Affiliation(s)
- M-C Heitz
- Laboratoire de Physique Quantique, UMR 5626, IRSAMC, Université Paul Sabatier, 118 route de Narbonne, F-31062 Toulouse, France.
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36
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Toutounji M. Optical linear response function with linear and diagonal quadratic electron-vibration coupling in mixed quantum-classical systems. J Chem Phys 2004; 121:2228-38. [PMID: 15260777 DOI: 10.1063/1.1761052] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Optical linear response function of linearly and quadratically coupled mixed quantum-classical condensed phase systems is derived. The linear response function is derived using Kapral's formalism of statistical mechanics in mixed quantum-classical systems. Our mixed quantum-classical linear dipole moment correlation function J(t) is compared with the full quantum J(t) [Y. J. Yan and S. Mukamel, J. Chem. Phys. 85, 5908 (1986)] in the high temperature limit. Model calculations and discussion of our results are presented. Various formulas of Franck-Condon factors for both linear and quadratic coupling are discussed.
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Affiliation(s)
- Mohamad Toutounji
- Department of Chemistry, College of Science, United Arab Emirates University, PO Box 17551, Al-Ain
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37
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Winter N, Benjamin I. Photodissociation of ICN at the liquid/vapor interface of water. J Chem Phys 2004; 121:2253-63. [PMID: 15260780 DOI: 10.1063/1.1765093] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The photodissociation of ICN adsorbed at the liquid/vapor interface of water is studied using classical molecular dynamics with nonadiabatic surface hopping. The cage escape, geminate recombination to form ICN and INC and the subsequent vibrational relaxation of these two molecules (on their ground electronic states) is compared with the same process in bulk water and with previous photodissociation studies at liquid interfaces. We find that the reduced surface density and weaker solvent-solute interactions give rise to reduced rate of nonadiabatic transitions and that the probability for cage escape at the interface is significantly enhanced due to the possibility that one or both of the photodissociation fragments desorb into the gas phase. The overall desorption probability varies from 75% to 92% for ICN initially located just below the Gibbs surface (50% bulk density) to ICN located just above the Gibbs surface, respectively. The corresponding geminate recombination probabilities are 18% and 9%, respectively. The vibrational relaxation rate of the recombined ICN is slower than in the bulk by a factor of 2.3.
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Affiliation(s)
- Nicole Winter
- Department of Chemistry, University of California, Santa Cruz 95064, USA
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38
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Gräfe S, Scheidel D, Engel V, Henriksen NE, Møller KB. Approaches to Wave Packet Imaging Using Femtosecond Ionization Spectroscopy. J Phys Chem A 2004. [DOI: 10.1021/jp040230q] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
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39
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Bihary Z, Karavitis M, Apkarian VA. Onset of decoherence: Six-wave mixing measurements of vibrational decoherence on the excited electronic state of I2 in solid argon. J Chem Phys 2004; 120:8144-56. [PMID: 15267734 DOI: 10.1063/1.1691407] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/20/2023] Open
Abstract
Pump-probe, four-wave, and six-wave mixing measurements of I2 isolated in solid argon are used to provide a clear experimental measure for the onset of vibrational quantum decoherence on the excited electronic state. The electronically resonant, six-wave mixing measurements bypass the rapid electronic dephasing, and measure the quantum cross-correlation between two packets launched on the B-state. The vibrational quantum coherence survives one period of motion, 400 fs, during which approximately 2000 cm(-1) of energy is transferred to the lattice. The decoherence occurs during the second cycle of motion, while classically coherent motion measured via pump-probe spectroscopy using the same electronic resonances continues for approximately 15 periods. This is contrasted with vibrational dephasing on the ground electronic surface, which lasts for 10(2) periods, as measured through time-resolved coherent anti-Stokes Raman scattering. The measurements and observables are discussed through time-circuit diagrams, and a mechanistic description of decoherence is derived through semiclassical analysis and simulations that reproduce the experiments.
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Affiliation(s)
- Z Bihary
- Department of Chemistry, University of California, Irvine, California 92697, USA
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40
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41
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Winter N, Chorny I, Vieceli J, Benjamin I. Molecular dynamics study of the photodissociation and photoisomerization of ICN in water. J Chem Phys 2003. [DOI: 10.1063/1.1585019] [Citation(s) in RCA: 30] [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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42
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Cina JA, Kilin DS, Humble TS. Wave packet interferometry for short-time electronic energy transfer: Multidimensional optical spectroscopy in the time domain. J Chem Phys 2003. [DOI: 10.1063/1.1519259] [Citation(s) in RCA: 27] [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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43
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Horenko I, Salzmann C, Schmidt B, Schütte C. Quantum-classical Liouville approach to molecular dynamics: Surface hopping Gaussian phase-space packets. J Chem Phys 2002. [DOI: 10.1063/1.1522712] [Citation(s) in RCA: 132] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022] Open
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44
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Chorny I, Vieceli J, Benjamin I. Photodissociation and Vibrational Relaxation of OClO at Liquid Surfaces. J Phys Chem B 2002. [DOI: 10.1021/jp021796m] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Ilya Chorny
- Department of Chemistry, University of California, Santa Cruz, California 95064
| | - John Vieceli
- Department of Chemistry, University of California, Santa Cruz, California 95064
| | - Ilan Benjamin
- Department of Chemistry, University of California, Santa Cruz, California 95064
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45
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Dilthey S, Stock G. Periodic-Orbit Analysis of Coherent Electron-Transfer Femtosecond Experiments. J Phys Chem A 2002. [DOI: 10.1021/jp0209188] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Stefan Dilthey
- Institute of Physical and Theoretical Chemistry, J. W. Goethe University, Marie-Curie-Str. 11, D-60439 Frankfurt, Germany
| | - Gerhard Stock
- Institute of Physical and Theoretical Chemistry, J. W. Goethe University, Marie-Curie-Str. 11, D-60439 Frankfurt, Germany
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46
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Chorny I, Vieceli J, Benjamin I. Molecular dynamics study of the photodissociation of OClO in bulk liquids. J Chem Phys 2002. [DOI: 10.1063/1.1471557] [Citation(s) in RCA: 16] [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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47
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Vigliotti F, Bonacina L, Chergui M. Structural dynamics in quantum solids. II. Real-time probing of the electronic bubble formation in solid hydrogens. J Chem Phys 2002. [DOI: 10.1063/1.1449946] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022] Open
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48
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Horenko I, Schmidt B, Schütte C. A theoretical model for molecules interacting with intense laser pulses: The Floquet-based quantum-classical Liouville equation. J Chem Phys 2001. [DOI: 10.1063/1.1398577] [Citation(s) in RCA: 32] [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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49
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Vieceli J, Chorny I, Benjamin I. Photodissociation of ICN at the liquid/vapor interface of chloroform. J Chem Phys 2001. [DOI: 10.1063/1.1388196] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022] Open
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50
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Rubner O, Engel V. Multiple fragmentation dynamics after laser excitation: A simple theoretical approach. J Chem Phys 2001. [DOI: 10.1063/1.1387040] [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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