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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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Jain A, Petit AS, Anna JM, Subotnik JE. Simple and Efficient Theoretical Approach To Compute 2D Optical Spectra. J Phys Chem B 2019; 123:1602-1617. [DOI: 10.1021/acs.jpcb.8b08674] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Amber Jain
- Department of Chemistry, Indian Institute of Technology Bombay, Mumbai, 400076, India
| | - Andrew S. Petit
- Department of Chemistry and Biochemistry, California State University, Fullerton, California 92834, United States
| | - Jessica M. Anna
- Department of Chemistry, University of Pennsylvania, 231 South 34th Street, Philadelphia, Pennsylvania 19104, United States
| | - Joseph E. Subotnik
- Department of Chemistry, University of Pennsylvania, 231 South 34th Street, Philadelphia, Pennsylvania 19104, United States
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3
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Fetherolf JH, Berkelbach TC. Linear and nonlinear spectroscopy from quantum master equations. J Chem Phys 2018; 147:244109. [PMID: 29289132 DOI: 10.1063/1.5006824] [Citation(s) in RCA: 37] [Impact Index Per Article: 6.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We investigate the accuracy of the second-order time-convolutionless (TCL2) quantum master equation for the calculation of linear and nonlinear spectroscopies of multichromophore systems. We show that even for systems with non-adiabatic coupling, the TCL2 master equation predicts linear absorption spectra that are accurate over an extremely broad range of parameters and well beyond what would be expected based on the perturbative nature of the approach; non-equilibrium population dynamics calculated with TCL2 for identical parameters are significantly less accurate. For third-order (two-dimensional) spectroscopy, the importance of population dynamics and the violation of the so-called quantum regression theorem degrade the accuracy of TCL2 dynamics. To correct these failures, we combine the TCL2 approach with a classical ensemble sampling of slow microscopic bath degrees of freedom, leading to an efficient hybrid quantum-classical scheme that displays excellent accuracy over a wide range of parameters. In the spectroscopic setting, the success of such a hybrid scheme can be understood through its separate treatment of homogeneous and inhomogeneous broadening. Importantly, the presented approach has the computational scaling of TCL2, with the modest addition of an embarrassingly parallel prefactor associated with ensemble sampling. The presented approach can be understood as a generalized inhomogeneous cumulant expansion technique, capable of treating multilevel systems with non-adiabatic dynamics.
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Affiliation(s)
- Jonathan H Fetherolf
- Department of Chemistry and James Franck Institute, University of Chicago, Chicago, Illinois 60637, USA
| | - Timothy C Berkelbach
- Department of Chemistry and James Franck Institute, University of Chicago, Chicago, Illinois 60637, USA
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Zhang Z, Saurabh P, Dorfman KE, Debnath A, Mukamel S. Monitoring polariton dynamics in the LHCII photosynthetic antenna in a microcavity by two-photon coincidence counting. J Chem Phys 2018; 148:074302. [DOI: 10.1063/1.5004432] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Zhedong Zhang
- Department of Chemistry, University of California Irvine, Irvine, California 92697, USA
| | - Prasoon Saurabh
- Department of Chemistry, University of California Irvine, Irvine, California 92697, USA
| | - Konstantin E. Dorfman
- Department of Chemistry, University of California Irvine, Irvine, California 92697, USA
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China
| | - Arunangshu Debnath
- Department of Chemistry, University of California Irvine, Irvine, California 92697, USA
| | - Shaul Mukamel
- Department of Chemistry, University of California Irvine, Irvine, California 92697, USA
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Loring RF. Mean-trajectory approximation for electronic and vibrational-electronic nonlinear spectroscopy. J Chem Phys 2017; 146:144106. [DOI: 10.1063/1.4979621] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Roger F. Loring
- Department of Chemistry and Chemical Biology, Baker Laboratory, Cornell University, Ithaca, New York 14853, USA
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Cina JA, Kovac PA, Jumper CC, Dean JC, Scholes GD. Ultrafast transient absorption revisited: Phase-flips, spectral fingers, and other dynamical features. J Chem Phys 2016; 144:175102. [DOI: 10.1063/1.4947568] [Citation(s) in RCA: 45] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Jeffrey A. Cina
- Department of Chemistry and Biochemistry, and Oregon Center for Optical, Molecular, and Quantum Science, University of Oregon, Eugene, Oregon 97403, USA
| | - Philip A. Kovac
- Department of Chemistry and Biochemistry, and Oregon Center for Optical, Molecular, and Quantum Science, University of Oregon, Eugene, Oregon 97403, USA
| | - Chanelle C. Jumper
- Department of Chemistry, University of Toronto, Toronto, Ontario M5S 3H6, Canada
| | - Jacob C. Dean
- Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA
| | - Gregory D. Scholes
- Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA
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Shi Q, Geva E. A comparison between different semiclassical approximations for optical response functions in nonpolar liquid solutions. J Chem Phys 2005; 122:064506. [PMID: 15740387 DOI: 10.1063/1.1843813] [Citation(s) in RCA: 60] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/03/2023] Open
Abstract
The temporal behavior of optical response functions (ORFs) reflects the quantum dynamics of an electronic superposition state, and as such lacks a well-defined classical limit. In this paper, we consider the importance of accounting for the quantum nature of the dynamics when calculating ORFs of different types. To this end, we calculated the ORFs associated with the linear absorption spectrum and the nonlinear two-pulse photon-echo experiment, via the following approaches: (1) the semiclassical forward-backward approach; (2) an approach based on linearizing the path-integral forward-backward action in terms of the difference between the forward and backward paths; (3) an approach based on ground state nuclear dynamics. The calculations were performed on a model that consists of a two-state chromophore solvated in a nonpolar liquid. The different methods were found to yield very similar results for the absorption spectrum and "diagonal" two-pulse photon echo (i.e., the homodyne-detected signal at time t=t(0) after the second pulse, where t(0) is the time interval between the two pulses). The different approximations yielded somewhat different results in the case of the time-integrated photon-echo signal. The reasons for the similarity between the predictions of different approximations are also discussed.
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Affiliation(s)
- Qiang Shi
- Department of Chemistry, University of Michigan, Ann Arbor, Michigan 48109-1055, USA
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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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Lawrence CP, Skinner JL. On the mode-coupling theory of vibrational line broadening in near-critical fluids. J Chem Phys 2004; 120:8651-61. [PMID: 15267794 DOI: 10.1063/1.1689954] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Molecular-dynamics simulations of a neat atomic fluid, coupled with a simple model for vibrational frequency perturbations, are used to investigate vibrational line broadening near the liquid-gas critical point. All features of our simulations are in qualitative agreement with recent Raman experiments on nitrogen. We also use our simulation results to assess the validity of the mode-coupling theories that have been used to analyze experiment. We find that the theoretical results are not in good agreement with simulation, both for the temperature dependence of the linewidth, and for the frequency time-correlation functions. However, the mode-coupling prediction that critical line broadening is due to the diverging correlation time of the frequency fluctuations is shown to be correct.
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Affiliation(s)
- C P Lawrence
- Theoretical Chemistry Institute and Department of Chemistry, University of Wisconsin, Madison, Wisconsin 53706, USA
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Corcelli SA, Lawrence CP, Skinner JL. Combined electronic structure/molecular dynamics approach for ultrafast infrared spectroscopy of dilute HOD in liquid H2O and D2O. J Chem Phys 2004; 120:8107-17. [PMID: 15267730 DOI: 10.1063/1.1683072] [Citation(s) in RCA: 299] [Impact Index Per Article: 15.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023] Open
Abstract
We present a new approach that combines electronic structure methods and molecular dynamics simulations to investigate the infrared spectroscopy of condensed phase systems. This approach is applied to the OH stretch band of dilute HOD in liquid D2O and the OD stretch band of dilute HOD in liquid H2O for two commonly employed models of water, TIP4P and SPC/E. Ab initio OH and OD anharmonic transition frequencies are calculated for 100 HOD x (D2O)n and HOD x(H2O)n (n = 4-9) clusters randomly selected from liquid water simulations. A linear empirical relationship between the ab initio frequencies and the component of the electric field from the solvent along the bond of interest is developed. This relationship is used in a molecular dynamics simulation to compute frequency fluctuation time-correlation functions and infrared absorption line shapes. The normalized frequency fluctuation time-correlation functions are in good agreement with the results of previous theoretical approaches. Their long-time decay times are 0.5 ps for the TIP4P model and 0.9 ps for the SPC/E model, both of which appear to be somewhat too fast compared to recent experiments. The calculated line shapes are in good agreement with experiment, and improve upon the results of previous theoretical approaches. The methods presented are simple, and transferable to more complicated systems.
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Affiliation(s)
- S A Corcelli
- Theoretical Chemistry Institute and Department of Chemistry, University of Wisconsin, Madison, Wisconsin 53706, USA
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12
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Jansen TLC, Mukamel S. Semiclassical mode-coupling factorizations of coherent nonlinear optical response. J Chem Phys 2003. [DOI: 10.1063/1.1610437] [Citation(s) in RCA: 18] [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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13
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Lawrence CP, Skinner JL. Vibrational spectroscopy of HOD in liquid D2O. II. Infrared line shapes and vibrational Stokes shift. J Chem Phys 2002. [DOI: 10.1063/1.1514652] [Citation(s) in RCA: 175] [Impact Index Per Article: 8.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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14
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Everitt KF, Geva E, Skinner JL. Determining the solvation correlation function from three-pulse photon echoes in liquids. J Chem Phys 2001. [DOI: 10.1063/1.1332811] [Citation(s) in RCA: 66] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Mukamel S. Multidimensional femtosecond correlation spectroscopies of electronic and vibrational excitations. Annu Rev Phys Chem 2000; 51:691-729. [PMID: 11031297 DOI: 10.1146/annurev.physchem.51.1.691] [Citation(s) in RCA: 545] [Impact Index Per Article: 22.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
Femtosecond visible and infrared analogues of multiple-pulse nuclear magnetic resonance techniques provide novel snapshot probes into the structure and electronic and vibrational dynamics of complex molecular assemblies such as photosynthetic antennae, proteins, and hydrogen-bonded liquids. A classical-oscillator description of these spectroscopies in terms of interacting quasiparticles (rather than transitions among global eigenstates) is developed and sets the stage for designing new pulse sequences and inverting the multidimensional signals to yield molecular structures. Considerable computational advantages and a clear physical insight into the origin of the response and the relevant coherence sizes are provided by a real-space analysis of the underlying coherence-transfer pathways in Liouville space.
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Affiliation(s)
- S Mukamel
- Department of Chemistry, University of Rochester, PO Box 270216, Rochester, New York 14627-0216, USA.
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16
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Baer R, Kosloff R. Quantum dissipative dynamics of adsorbates near metal surfaces: A surrogate Hamiltonian theory applied to hydrogen on nickel. J Chem Phys 1997. [DOI: 10.1063/1.473950] [Citation(s) in RCA: 76] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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17
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Che J, Zhang W, Yan Y. A classical time-frequency theory of transient absorption spectroscopy. J Chem Phys 1997. [DOI: 10.1063/1.473719] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023] Open
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18
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Farrer RA, Loughnane BJ, Deschenes LA, Fourkas JT. Level-dependent damping in intermolecular vibrations: Linear spectroscopy. J Chem Phys 1997. [DOI: 10.1063/1.473715] [Citation(s) in RCA: 56] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Wolfseder B, Seidner L, Stock G, Domcke W. Femtosecond pump-probe spectroscopy of electron-transfer systems: a nonperturbative approach. Chem Phys 1997. [DOI: 10.1016/s0301-0104(97)00046-3] [Citation(s) in RCA: 51] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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20
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Kosloff R, Ratner MA, Davis WB. Dynamics and relaxation in interacting systems: Semigroup methods. J Chem Phys 1997. [DOI: 10.1063/1.473726] [Citation(s) in RCA: 64] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023] Open
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Fainberg B, Zolotov B. Time resolved spectroscopy of nonlinear solvation with pulses longer than electronic dephasing. Chem Phys 1997. [DOI: 10.1016/s0301-0104(96)00361-8] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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22
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Tanimura Y, Okumura K. First-, third-, and fifth-order resonant spectroscopy of an anharmonic displaced oscillators system in the condensed phase. J Chem Phys 1997. [DOI: 10.1063/1.473099] [Citation(s) in RCA: 50] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Stephens MD, Saven JG, Skinner JL. Molecular theory of electronic spectroscopy in nonpolar fluids: Ultrafast solvation dynamics and absorption and emission line shapes. J Chem Phys 1997. [DOI: 10.1063/1.473144] [Citation(s) in RCA: 143] [Impact Index Per Article: 5.3] [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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Heidenreich A, Jortner J. On the interrelation between nuclear dynamics and spectral line shapes in clusters. J Chem Phys 1996. [DOI: 10.1063/1.472637] [Citation(s) in RCA: 12] [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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Spencer CF, Loring RF. Dephasing of a solvated two‐level system: A semiclassical approach for parallel computing. J Chem Phys 1996. [DOI: 10.1063/1.471973] [Citation(s) in RCA: 19] [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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Kalbfleisch TS, Ziegler LD, Keyes T. An instantaneous normal mode analysis of solvation: Methyl iodide in high pressure gases. J Chem Phys 1996. [DOI: 10.1063/1.472505] [Citation(s) in RCA: 36] [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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Fan R, Kalbfleisch T, Ziegler LD. A molecular dynamics analysis of resonance emission: Optical dephasing and inhomogeneous broadening of CH3I in CH4and Ar. J Chem Phys 1996. [DOI: 10.1063/1.471245] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Najbar J, Tachiya M. Solvent effects on the electron transfer reactions in supramolecular systems. J Photochem Photobiol A Chem 1996. [DOI: 10.1016/1010-6030(95)04232-6] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Stock G. Classical description of nonadiabatic photoisomerization processes and their real‐time detection via femtosecond spectroscopy. J Chem Phys 1995. [DOI: 10.1063/1.469905] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Kalbfleisch T, Fan R, Roebber J, Moore P, Jacobsen E, Ziegler LD. A molecular dynamics study of electronic absorption line broadening in high‐pressure nonpolar gases. J Chem Phys 1995. [DOI: 10.1063/1.470290] [Citation(s) in RCA: 24] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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31
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Sepúlveda MA, Mukamel S. Semiclassical theory of molecular nonlinear optical polarization. J Chem Phys 1995. [DOI: 10.1063/1.468800] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Banin U, Bartana A, Ruhman S, Kosloff R. Impulsive excitation of coherent vibrational motion ground surface dynamics induced by intense short pulses. J Chem Phys 1994. [DOI: 10.1063/1.468108] [Citation(s) in RCA: 212] [Impact Index Per Article: 7.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Leegwater JA, Mukamel S. Semiclassical Green function calculation of four wave mixing in polarizable clusters and liquids. J Chem Phys 1994. [DOI: 10.1063/1.468297] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Tokmakoff A, Zimdars D, Sauter B, Francis RS, Kwok AS, Fayer MD. Vibrational photon echoes in a liquid and glass: Room temperature to 10 K. J Chem Phys 1994. [DOI: 10.1063/1.467731] [Citation(s) in RCA: 47] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Stock G. Photoinduced large amplitude motion as mechanism for pure electronic dephasing and its manifestation in continuous‐wave and time‐resolved spectroscopy. J Chem Phys 1994. [DOI: 10.1063/1.468176] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Heidenreich A, Bahatt D, Ben‐Horin N, Even U, Jortner J. Perylene–rare‐gas heteroclusters. II. Nuclear dynamics and spectral line shapes. J Chem Phys 1994. [DOI: 10.1063/1.467092] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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38
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Tanimura Y, Mukamel S. Two‐dimensional femtosecond vibrational spectroscopy of liquids. J Chem Phys 1993. [DOI: 10.1063/1.465484] [Citation(s) in RCA: 523] [Impact Index Per Article: 16.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Saven JG, Skinner JL. A molecular theory of the line shape: Inhomogeneous and homogeneous electronic spectra of dilute chromophores in nonpolar fluids. J Chem Phys 1993. [DOI: 10.1063/1.466092] [Citation(s) in RCA: 141] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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