2021
DOI: 10.2533/chimia.2021.261
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Efficient Semiclassical Dynamics for Vibronic Spectroscopy beyond Harmonic, Condon, and Zero-Temperature Approximations

Abstract: Understanding light-induced processes in biological and human-made molecular systems is one of the main goals of physical chemistry. It has been known for years that the photoinduced dynamics of atomic nuclei can be studied by looking at the vibrational substructure of electronic absorption and emission spectra. However, theoretical simulation is needed to understand how dynamics translates into the spectral features. Here, we review several recent developments in the computation of vibrationally resolved ele… Show more

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Cited by 10 publications
(4 citation statements)
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“…Instead of costly full quantum dynamics, various semiclassical approximations can be used to calculate an absorption spectrum. 21 , 22 Despite being theoretically rigorous, methods based on quantum wavepacket dynamics can be computationally involved and often require approximations such as reducing the dimensionality of the system to a few important normal modes.…”
Section: Introductionmentioning
confidence: 99%
“…Instead of costly full quantum dynamics, various semiclassical approximations can be used to calculate an absorption spectrum. 21 , 22 Despite being theoretically rigorous, methods based on quantum wavepacket dynamics can be computationally involved and often require approximations such as reducing the dimensionality of the system to a few important normal modes.…”
Section: Introductionmentioning
confidence: 99%
“…As a result, its Gaussian form is conserved; the center of the wavepacket follows a classical trajectory, while its width is adjusted according to the instantaneous Hessian of the potential energy surface (PES). Whereas in the original ab initio TGA the Hessian of the potential energy is updated over time, in the single-Hessian version, implemented in TURBOMOLE as part of the module, the Hessian is kept constant throughout the dynamics. Therefore, the overall additional cost compared to the conventional harmonic approximation is that of a single ab initio trajectory in the final electronic state, which is simulated using the module.…”
Section: Recent Developmentsmentioning
confidence: 99%
“…Γ( t ) is the dephasing term in its more general form; for example, Γ( t ) = e – γt corresponds to the Lorentzian line shape in the KHD expression (eq ). In other words, the computation of C ( t ) requires the time propagation of a quantum wavepacket false| ψ ( t ) false⟩ = exp ( i e t / ) false| ψ 0 ( ν̅ ) false⟩ in the excited electronic state, which is computationally costly for molecular Raman probes with a typical size of 50–100 atoms, even with, for example, trajectory-guided Gaussian wavepacket approaches. In fact, the number of ab initio computations in the excited electronic state should be minimized to allow for efficient analysis of relatively large molecules.…”
Section: Theorymentioning
confidence: 99%