1
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Bao S, Raymond N, Nooijen M. Time dependent vibrational electronic coupled cluster (VECC) theory for non-adiabatic nuclear dynamics. J Chem Phys 2024; 160:094105. [PMID: 38426527 DOI: 10.1063/5.0190034] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/02/2023] [Accepted: 01/28/2024] [Indexed: 03/02/2024] Open
Abstract
A time-dependent vibrational electronic coupled-cluster (VECC) approach is proposed to simulate photo-electron/UV-VIS absorption spectra as well as time-dependent properties for non-adiabatic vibronic models, going beyond the Born-Oppenheimer approximation. A detailed derivation of the equations of motion and a motivation for the ansatz are presented. The VECC method employs second-quantized bosonic construction operators and a mixed linear and exponential ansatz to form a compact representation of the time-dependent wave-function. Importantly, the method does not require a basis set, has only a few user-defined inputs, and has a classical (polynomial) scaling with respect to the number of degrees of freedom (of the vibronic model), resulting in a favorable computational cost. In benchmark applications to small models and molecules, the VECC method provides accurate results compared to multi-configurational time-dependent Hartree calculations when predicting short-time dynamical properties (i.e., photo-electron/UV-VIS absorption spectra) for non-adiabatic vibronic models. To illustrate the capabilities, the VECC method is also successfully applied to a large vibronic model for hexahelicene with 14 electronic states and 63 normal modes, developed in the group by Aranda and Santoro [J. Chem. Theory Comput. 17, 1691, (2021)].
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Affiliation(s)
- Songhao Bao
- Department of Chemistry, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
| | - Neil Raymond
- Department of Chemistry, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
| | - Marcel Nooijen
- Department of Chemistry, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
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2
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Komarov K, Park W, Lee S, Huix-Rotllant M, Choi CH. Doubly Tuned Exchange-Correlation Functionals for Mixed-Reference Spin-Flip Time-Dependent Density Functional Theory. J Chem Theory Comput 2023; 19:7671-7684. [PMID: 37844129 DOI: 10.1021/acs.jctc.3c00884] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2023]
Abstract
It is demonstrated that significant accuracy improvements in MRSF-TDDFT can be achieved by introducing two different exchange-correlation (XC) functionals for the reference Kohn-Sham DFT and the response part of the calculations, respectively. Accordingly, two new XC functionals of doubly tuned Coulomb attenuated method-vertical excitation energy (DTCAM-VEE) and DTCAM-AEE were developed on the basis of the "adaptive exact exchange (AEE)" concept in the framework of the Coulomb-attenuating XC functionals. The values by DTCAM-VEE are in excellent agreement with those of Thiel's set [mean absolute errors (MAEs) and the interquartile range (IQR) values of 0.218 and 0.327 eV, respectively]. On the other hand, DTCAM-AEE faithfully reproduced the qualitative aspects of conical intersections (CIs) of trans-butadiene and thymine and the nonadiabatic molecular dynamics (NAMD) simulations on thymine. The latter functional also remarkably exhibited the exact 1/R asymptotic behavior of the charge-transfer state of an ethylene-tetrafluoroethylene dimer and the accurate potential energy surfaces (PESs) along the two torsional angles of retinal protonated Schiff base model with six double bonds (rPSB6). Overall, DTCAM-AEE generally performs well, as its MAE (0.237) and IQR (0.41 eV) are much improved as compared to BH&HLYP. The current idea can also be applied to other XC functionals as well as other variants of linear response theories, opening a new way of developing XC functionals.
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Affiliation(s)
- Konstantin Komarov
- Center for Quantum Dynamics, Pohang University of Science and Technology, Pohang 37673, South Korea
| | - Woojin Park
- Department of Chemistry, Kyungpook National University, Daegu 41566, South Korea
| | - Seunghoon Lee
- Department of Chemistry, Seoul National University, Seoul, 151-747, South Korea
| | | | - Cheol Ho Choi
- Department of Chemistry, Kyungpook National University, Daegu 41566, South Korea
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3
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Park W, Komarov K, Lee S, Choi CH. Mixed-Reference Spin-Flip Time-Dependent Density Functional Theory: Multireference Advantages with the Practicality of Linear Response Theory. J Phys Chem Lett 2023; 14:8896-8908. [PMID: 37767969 PMCID: PMC10561896 DOI: 10.1021/acs.jpclett.3c02296] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/16/2023] [Accepted: 09/21/2023] [Indexed: 09/29/2023]
Abstract
The density functional theory (DFT) and linear response (LR) time-dependent (TD)-DFT are of the utmost importance for routine computations. However, the single reference formulation of DFT suffers in the description of open-shell singlet systems such as diradicals and bond-breaking. LR-TDDFT, on the other hand, finds difficulties in the modeling of conical intersections, doubly excited states, and core-level excitations. In this Perspective, we demonstrate that many of these limitations can be overcome by recently developed mixed-reference (MR) spin-flip (SF)-TDDFT, providing an alternative yet accurate route for such challenging situations. Empowered by the practicality of the LR formalism, it is anticipated that MRSF-TDDFT can become one of the major workhorses for general routine tasks.
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Affiliation(s)
- Woojin Park
- Department
of Chemistry, Kyungpook National University, Daegu 41566, South Korea
| | - Konstantin Komarov
- Center
for Quantum Dynamics, Pohang University
of Science and Technology, Pohang 37673, South Korea
| | - Seunghoon Lee
- Division
of Chemistry and Chemical Engineering, California
Institute of Technology, Pasadena, California 91125, United States
| | - Cheol Ho Choi
- Department
of Chemistry, Kyungpook National University, Daegu 41566, South Korea
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4
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Komarov K, Mironov V, Lee S, Pham BQ, Gordon MS, Choi CH. High-performance strategies for the recent MRSF-TDDFT in GAMESS. J Chem Phys 2023; 158:2890476. [PMID: 37184015 DOI: 10.1063/5.0148005] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/28/2023] [Accepted: 05/02/2023] [Indexed: 05/16/2023] Open
Abstract
Multiple ERI (Electron Repulsion Integral) tensor contractions (METC) with several matrices are ubiquitous in quantum chemistry. In response theories, the contraction operation, rather than ERI computations, can be the major bottleneck, as its computational demands are proportional to the multiplicatively combined contributions of the number of excited states and the kernel pre-factors. This paper presents several high-performance strategies for METC. Optimal approaches involve either the data layout reformations of interim density and Fock matrices, the introduction of intermediate ERI quartet buffer, and loop-reordering optimization for a higher cache hit rate. The combined strategies remarkably improve the performance of the MRSF (mixed reference spin flip)-TDDFT (time-dependent density functional theory) by nearly 300%. The results of this study are not limited to the MRSF-TDDFT method and can be applied to other METC scenarios.
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Affiliation(s)
- Konstantin Komarov
- Center for Quantum Dynamics, Pohang University of Science and Technology, Pohang 37673, South Korea
| | - Vladimir Mironov
- Department of Chemistry, Kyungpook National University, Daegu 41566, South Korea
| | - Seunghoon Lee
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA
| | - Buu Q Pham
- Department of Chemistry and Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA
| | - Mark S Gordon
- Department of Chemistry and Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA
| | - Cheol Ho Choi
- Department of Chemistry, Kyungpook National University, Daegu 41566, South Korea
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5
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Aranda D, García-González F, Avila Ferrer FJ, López-Tocón I, Soto J, Otero JC. Computational Model for Electrochemical Surface-Enhanced Raman Scattering: Key Role of the Surface Charges and Synergy between Electromagnetic and Charge-Transfer Enhancement Mechanisms. J Chem Theory Comput 2022; 18:6802-6815. [PMID: 36222738 DOI: 10.1021/acs.jctc.2c00633] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We present a computational model for electrochemical surface-enhanced Raman scattering (EC-SERS). The surface excess of charge induced by the electrode potential (Vel) was introduced by applying an external electric field to a set of clusters [Agn]q with (n, q) of (19, ±1) or (20, 0) on which a molecule adsorbs. Using DFT/TD-DFT calculations, these metal-molecule complexes were classified by the adsorbate partial charge, and the main Vel-dependent properties were simultaneously studied with the aid of vibronic resonance Raman computations, namely, changes on the vibrational wavenumbers, relative intensities, and enhancement factors (EFs) for all SERS mechanisms: chemical or nonresonant, and resonance Raman with bright states of the adsorbate, charge-transfer (CT) states, and plasmon-like excitations on the metal cluster. We selected two molecules to test our model, pyridine, for which Vel has a remarkable effect, and 9,10-bis((E)-2-(pyridin-4-yl)vinyl)anthracene, which is almost insensitive to the applied bias. The results nicely reproduced most of the experimental observations, while the limitations of our approach were critically evaluated. We detected that accounting explicitly for the surface charges is key for EC-SERS models and that the highest calculated EFs, up to 107 to 108, are obtained by interstate coupling of bright local excitations of the metal cluster and CT states. These results highlight the importance of nonadiabatic effects in SERS and the capabilities of EC-SERS as a technique with potential to study excited-state coupling by tuning the CT and plasmon-like states by manipulating Vel.
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Affiliation(s)
- Daniel Aranda
- Instituto de Ciencia Molecular (ICMol), Universidad de Valencia, Catedrático J. Beltrán 2, 46980Paterna, Valencia, Spain.,Andalucía Tech, Facultad de Ciencias, Departamento de Química Física, Universidad de Málaga, 29071Málaga, Spain
| | - Francisco García-González
- Andalucía Tech, Facultad de Ciencias, Departamento de Química Física, Universidad de Málaga, 29071Málaga, Spain
| | - Francisco José Avila Ferrer
- Andalucía Tech, Facultad de Ciencias, Departamento de Química Física, Universidad de Málaga, 29071Málaga, Spain
| | - Isabel López-Tocón
- Andalucía Tech, Facultad de Ciencias, Departamento de Química Física, Universidad de Málaga, 29071Málaga, Spain
| | - Juan Soto
- Andalucía Tech, Facultad de Ciencias, Departamento de Química Física, Universidad de Málaga, 29071Málaga, Spain
| | - Juan Carlos Otero
- Andalucía Tech, Facultad de Ciencias, Departamento de Química Física, Universidad de Málaga, 29071Málaga, Spain
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6
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Lee S, Park W, Nakata H, Filatov M, Choi CH. Recent advances in ensemble density functional theory and linear response theory for strong correlation. B KOREAN CHEM SOC 2021. [DOI: 10.1002/bkcs.12429] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
Affiliation(s)
- Seunghoon Lee
- Division of Chemistry and Chemical Engineering California Institute of Technology Pasadena California USA
| | - Woojin Park
- Department of Chemistry Kyungpook National University Daegu South Korea
| | - Hiroya Nakata
- Department of Chemistry Kyungpook National University Daegu South Korea
| | - Michael Filatov
- Department of Chemistry Kyungpook National University Daegu South Korea
| | - Cheol Ho Choi
- Department of Chemistry Kyungpook National University Daegu South Korea
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7
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Zobel JP, Heindl M, Plasser F, Mai S, González L. Surface Hopping Dynamics on Vibronic Coupling Models. Acc Chem Res 2021; 54:3760-3771. [PMID: 34570472 PMCID: PMC8529708 DOI: 10.1021/acs.accounts.1c00485] [Citation(s) in RCA: 29] [Impact Index Per Article: 9.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
![]()
The simulation of photoinduced non-adiabatic dynamics is of great
relevance in many scientific disciplines, ranging from physics and
materials science to chemistry and biology. Upon light irradiation,
different relaxation processes take place in which electronic and
nuclear motion are intimately coupled. These are best described by
the time-dependent molecular Schrödinger equation, but its
solution poses fundamental practical challenges to contemporary theoretical
chemistry. Two widely used and complementary approaches to this problem
are multiconfigurational time-dependent Hartree (MCTDH) and trajectory
surface hopping (SH). MCTDH is an accurate fully quantum-mechanical
technique but often is feasible only in reduced dimensionality, in
combination with approximate vibronic coupling (VC) Hamiltonians,
or both (i.e., reduced-dimensional VC potentials). In contrast, SH
is a quantum–classical technique that neglects most nuclear
quantum effects but allows nuclear dynamics in full dimensionality
by calculating potential energy surfaces on the fly. If nuclear quantum
effects do not play a central role and a linear VC (LVC) Hamiltonian
is appropriate—e.g., for stiff molecules that generally keep
their conformation in the excited state—then it seems advantageous
to combine the efficient LVC and SH techniques. In this Account, we
describe how surface hopping based on an LVC Hamiltonian (SH/LVC)—as
recently implemented in the SHARC surface hopping package—can
provide an economical and automated approach to simulate non-adiabatic
dynamics. First, we illustrate the potential of SH/LVC in a number
of showcases, including intersystem crossing in SO2, intra-Rydberg
dynamics in acetone, and several photophysical studies on large transition-metal
complexes, which would be much more demanding or impossible to perform
with other methods. While all of the applications provide very useful
insights into light-induced phenomena, they also hint at difficulties
faced by the SH/LVC methodology that need to be addressed in the future.
Second, we contend that the SH/LVC approach can be useful to benchmark
SH itself. By the use of the same (LVC) potentials as MCTDH calculations
have employed for decades and by relying on the efficiency of SH/LVC,
it is possible to directly compare multiple SH test calculations with
a MCTDH reference and ponder the accuracy of various correction algorithms
behind the SH methodology, such as decoherence corrections or momentum
rescaling schemes. Third, we demonstrate how the efficiency of SH/LVC
can also be exploited to identify essential nuclear and electronic
degrees of freedom to be employed in more accurate MCTDH calculations.
Lastly, we show that SH/LVC is able to advance the development of
SH protocols that can describe nuclear dynamics including explicit
laser fields—a very challenging endeavor for trajectory-based
schemes. To end, this Account compiles the typical costs of contemporary
SH simulations, evidencing the great advantages of using parametrized
potentials. The LVC model is a sleeping beauty that, kissed by SH,
is fueling the field of excited-state molecular dynamics. We hope
that this Account will stimulate future research in this direction,
leveraging the advantages of the SH/VC schemes to larger extents and
extending their applicability to uncharted territories.
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Affiliation(s)
- J. Patrick Zobel
- Institute of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währingerstr. 19, 1090 Vienna, Austria
| | - Moritz Heindl
- Institute of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währingerstr. 19, 1090 Vienna, Austria
| | - Felix Plasser
- Department of Chemistry, Loughborough University, Loughborough LE11 3TU, United Kingdom
| | - Sebastian Mai
- Institute of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währingerstr. 19, 1090 Vienna, Austria
| | - Leticia González
- Institute of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währingerstr. 19, 1090 Vienna, Austria
- Vienna Research Platform on Accelerating Photoreaction Discovery, University of Vienna, Währingerstr. 19, 1090 Vienna, Austria
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Tracking the early nonadiabatic events of ESIPT process in 2-acetylindan-1,3-dione by quantum wavepacket dynamics. J Photochem Photobiol A Chem 2021. [DOI: 10.1016/j.jphotochem.2021.113415] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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9
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Green JA, Yaghoubi Jouybari M, Asha H, Santoro F, Improta R. Fragment Diabatization Linear Vibronic Coupling Model for Quantum Dynamics of Multichromophoric Systems: Population of the Charge-Transfer State in the Photoexcited Guanine-Cytosine Pair. J Chem Theory Comput 2021; 17:4660-4674. [PMID: 34270258 DOI: 10.1021/acs.jctc.1c00416] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022]
Abstract
We introduce a method (FrD-LVC) based on a fragment diabatization (FrD) for the parametrization of a linear vibronic coupling (LVC) model suitable for studying the photophysics of multichromophore systems. In combination with effective quantum dynamics (QD) propagations with multilayer multiconfigurational time-dependent Hartree (ML-MCTDH), the FrD-LVC approach gives access to the study of the competition between intrachromophore decays, like those at conical intersections, and interchromophore processes, like exciton localization/delocalization and the involvement of charge-transfer (CT) states. We used FrD-LVC parametrized with time-dependent density functional theory (TD-DFT) calculations, adopting either CAM-B3LYP or ωB97X-D functionals, to study the ultrafast photoexcited QD of a guanine-cytosine (GC) hydrogen-bonded pair, within a Watson-Crick arrangement, considering up to 12 coupled diabatic electronic states and the effect of all of the 99 vibrational coordinates. The bright excited states localized on C and, especially, on G are predicted to be strongly coupled to the G → C CT state, which is efficiently and quickly populated after an excitation to any of the four lowest energy bright local excited states. Our QD simulations show that more than 80% of the excited population on G and ∼50% of that on C decay to this CT state in less than 50 fs. We investigate the role of vibronic effects in the population of the CT state and show that it depends mainly on its large reorganization energy so that it can occur even when it is significantly less stable than the bright states in the Franck-Condon region. At the same time, we document that the formation of the GC pair almost suppresses the involvement of dark nπ* excited states in the photoactivated dynamics.
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Affiliation(s)
- James A Green
- Istituto di Biostrutture e Bioimmagini (IBB-CNR), Consiglio Nazionale delle Ricerche, via Mezzocannone 16, I-80136 Napoli, Italy
| | - Martha Yaghoubi Jouybari
- Istituto di Chimica dei Composti Organo Metallici (ICCOM-CNR), Consiglio Nazionale delle Ricerche, SS di Pisa, Area della Ricerca, via G. Moruzzi 1, I-56124 Pisa, Italy
| | - Haritha Asha
- Istituto di Biostrutture e Bioimmagini (IBB-CNR), Consiglio Nazionale delle Ricerche, via Mezzocannone 16, I-80136 Napoli, Italy
| | - Fabrizio Santoro
- Istituto di Chimica dei Composti Organo Metallici (ICCOM-CNR), Consiglio Nazionale delle Ricerche, SS di Pisa, Area della Ricerca, via G. Moruzzi 1, I-56124 Pisa, Italy
| | - Roberto Improta
- Istituto di Biostrutture e Bioimmagini (IBB-CNR), Consiglio Nazionale delle Ricerche, via Mezzocannone 16, I-80136 Napoli, Italy
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Aleotti F, Aranda D, Yaghoubi Jouybari M, Garavelli M, Nenov A, Santoro F. Parameterization of a linear vibronic coupling model with multiconfigurational electronic structure methods to study the quantum dynamics of photoexcited pyrene. J Chem Phys 2021; 154:104106. [PMID: 33722019 DOI: 10.1063/5.0044693] [Citation(s) in RCA: 13] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022] Open
Abstract
With this work, we present a protocol for the parameterization of a Linear Vibronic Coupling (LVC) Hamiltonian for quantum dynamics using highly accurate multiconfigurational electronic structure methods such as RASPT2/RASSCF, combined with a maximum-overlap diabatization technique. Our approach is fully portable and can be applied to many medium-size rigid molecules whose excited state dynamics requires a quantum description. We present our model and discuss the details of the electronic structure calculations needed for the parameterization, analyzing critical situations that could arise in the case of strongly interacting excited states. The protocol was applied to the simulation of the excited state dynamics of the pyrene molecule, starting from either the first or the second bright state (S2 or S5). The LVC model was benchmarked against state-of-the-art quantum mechanical calculations with optimizations and energy scans and turned out to be very accurate. The dynamics simulations, performed including all active normal coordinates with the multilayer multiconfigurational time-dependent Hartree method, show good agreement with the available experimental data, endorsing prediction of the excited state mechanism, especially for S5, whose ultrafast deactivation mechanism was not yet clearly understood.
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Affiliation(s)
- Flavia Aleotti
- Dipartimento di Chimica Industriale "Toso Montanari," Università di Bologna, Viale del Risorgimento 4, 40136 Bologna, Italy
| | - Daniel Aranda
- Istituto di Chimica dei Composti Organometallici (ICCOM-CNR), Area della Ricerca del CNR, Via Moruzzi 1, I-56124 Pisa, Italy
| | - Martha Yaghoubi Jouybari
- Istituto di Chimica dei Composti Organometallici (ICCOM-CNR), Area della Ricerca del CNR, Via Moruzzi 1, I-56124 Pisa, Italy
| | - Marco Garavelli
- Dipartimento di Chimica Industriale "Toso Montanari," Università di Bologna, Viale del Risorgimento 4, 40136 Bologna, Italy
| | - Artur Nenov
- Dipartimento di Chimica Industriale "Toso Montanari," Università di Bologna, Viale del Risorgimento 4, 40136 Bologna, Italy
| | - Fabrizio Santoro
- Istituto di Chimica dei Composti Organometallici (ICCOM-CNR), Area della Ricerca del CNR, Via Moruzzi 1, I-56124 Pisa, Italy
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Sarkar R, Boggio-Pasqua M, Loos PF, Jacquemin D. Benchmarking TD-DFT and Wave Function Methods for Oscillator Strengths and Excited-State Dipole Moments. J Chem Theory Comput 2021; 17:1117-1132. [DOI: 10.1021/acs.jctc.0c01228] [Citation(s) in RCA: 37] [Impact Index Per Article: 12.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/07/2023]
Affiliation(s)
| | - Martial Boggio-Pasqua
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, 31400 Toulouse, France
| | - Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, 31400 Toulouse, France
| | - Denis Jacquemin
- Université de Nantes, CNRS, CEISAM UMR 6230, F-44000 Nantes, France
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12
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Chrayteh A, Blondel A, Loos PF, Jacquemin D. Mountaineering Strategy to Excited States: Highly Accurate Oscillator Strengths and Dipole Moments of Small Molecules. J Chem Theory Comput 2020; 17:416-438. [DOI: 10.1021/acs.jctc.0c01111] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023]
Affiliation(s)
- Amara Chrayteh
- Université de Nantes, CNRS, CEISAM UMR 6230, F-44000 Nantes, France
| | - Aymeric Blondel
- Université de Nantes, CNRS, CEISAM UMR 6230, F-44000 Nantes, France
| | - Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, 31062 Toulouse, France
| | - Denis Jacquemin
- Université de Nantes, CNRS, CEISAM UMR 6230, F-44000 Nantes, France
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13
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Li X, Govind N, Isborn C, DePrince AE, Lopata K. Real-Time Time-Dependent Electronic Structure Theory. Chem Rev 2020; 120:9951-9993. [DOI: 10.1021/acs.chemrev.0c00223] [Citation(s) in RCA: 64] [Impact Index Per Article: 16.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Xiaosong Li
- Department of Chemistry, University of Washington, Seattle, Washington 98195-1700, United States
| | - Niranjan Govind
- Physical and Computational Sciences Directorate, Pacific Northwest National Laboratory, Richland, Washington 99354, United States
| | - Christine Isborn
- Department of Chemistry and Chemical Biology, University of California, Merced, California 95343, United States
| | - A. Eugene DePrince
- Department of Chemistry and Biochemistry, Florida State University, Tallahassee, Florida 32306-4390, United States
| | - Kenneth Lopata
- Department of Chemistry, Louisiana State University, Baton Rouge, Louisiana 70803, United States
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14
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Yaghoubi Jouybari M, Liu Y, Improta R, Santoro F. Ultrafast Dynamics of the Two Lowest Bright Excited States of Cytosine and 1-Methylcytosine: A Quantum Dynamical Study. J Chem Theory Comput 2020; 16:5792-5808. [PMID: 32687360 DOI: 10.1021/acs.jctc.0c00455] [Citation(s) in RCA: 32] [Impact Index Per Article: 8.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022]
Abstract
The nonadiabatic quantum dynamics (QD) of cytosine and 1-methylcytosine in the gas phase is simulated for 250 fs after a photoexcitation to one of the first two bright states. The nuclear wavepacket is propagated on the coupled diabatic potential energy surfaces of the lowest seven excited states, including ππ*, nπ*, and Rydberg states along all the vibrational degrees of freedom. We focus in particular on the interplay between the bright and the dark nπ* states, not considering the decay to the ground electronic state. To run these simulations, we implemented an automatic general procedure to parametrize linear vibronic coupling (LVC) models with time-dependent density functional theory (DFT) computations and interfaced it with Gaussian package. The wavepacket was propagated with the multilayer version of the multiconfigurational time dependent Hartree method. Two different density functionals, PBE0 and CAM-B3LYP, which provide a different description of the relative stability of the lowest energy dark states, were used to parametrize the LVC Hamiltonian. Part of the photoexcited population on lowest HOMO-LUMO transition (πHπL*) decays within less than 100 fs to a nπ* state which mainly involves a promotion of an electron from the oxygen lone pair to the LUMO (nOπL*). The population of the second ππ* state decays almost completely, in <100 fs, not only to πHπL* and to nOπL* states but also to another nπL* state involving the nitrogen lone pair. The efficiency of the adopted protocol allowed us to check the accuracy of the predictions by repeating the QD simulations with different LVC Hamiltonians parametrized either at the ground-state minimum or at stationary structures of different relevant excited states.
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Affiliation(s)
- Martha Yaghoubi Jouybari
- CNR-Consiglio Nazionale delle Ricerche, Istituto di Chimica dei Composti Organo Metallici (ICCOM-CNR), SS di Pisa, Area della Ricerca, via G. Moruzzi 1, I-56124 Pisa, Italy
| | - Yanli Liu
- School of Physics and Optoelectronics Engineering, Ludong University, 264025 Yantai, Shandong, PR China
| | - Roberto Improta
- CNR-Consiglio Nazionale delle Ricerche, Istituto di Biostrutture e Bioimmagini (IBB-CNR), via Mezzocannone 16, I-80136 Napoli, Italy
| | - Fabrizio Santoro
- CNR-Consiglio Nazionale delle Ricerche, Istituto di Chimica dei Composti Organo Metallici (ICCOM-CNR), SS di Pisa, Area della Ricerca, via G. Moruzzi 1, I-56124 Pisa, Italy
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15
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Horbatenko Y, Lee S, Filatov M, Choi CH. Performance Analysis and Optimization of Mixed-Reference Spin-Flip Time-Dependent Density Functional Theory (MRSF-TDDFT) for Vertical Excitation Energies and Singlet–Triplet Energy Gaps. J Phys Chem A 2019; 123:7991-8000. [DOI: 10.1021/acs.jpca.9b07556] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Yevhen Horbatenko
- Department of Chemistry, Kyungpook National University, Daegu 41566, Republic of Korea
| | - Seunghoon Lee
- Department of Chemistry, Seoul National University, Seoul 151747, Republic of Korea
| | - Michael Filatov
- Department of Chemistry, Kyungpook National University, Daegu 41566, Republic of Korea
| | - Cheol Ho Choi
- Department of Chemistry, Kyungpook National University, Daegu 41566, Republic of Korea
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16
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Lee S, Kim EE, Nakata H, Lee S, Choi CH. Efficient implementations of analytic energy gradient for mixed-reference spin-flip time-dependent density functional theory (MRSF-TDDFT). J Chem Phys 2019; 150:184111. [DOI: 10.1063/1.5086895] [Citation(s) in RCA: 25] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022] Open
Affiliation(s)
- Seunghoon Lee
- Department of Chemistry, Seoul National University, Seoul 151-747, South Korea
| | - Emma Eunji Kim
- Department of Chemistry, Seoul National University, Seoul 151-747, South Korea
| | - Hiroya Nakata
- R & D Center Kagoshima, Kyocera, 1-4 Kokubu Yamashita-cho, Kirishima-shi, Kagoshima 899-4312, Japan
| | - Sangyoub Lee
- Department of Chemistry, Seoul National University, Seoul 151-747, South Korea
| | - Cheol Ho Choi
- Department of Chemistry, Kyungpook National University, Daegu 702-701, South Korea
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17
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Liu Y, Martínez-Fernández L, Cerezo J, Prampolini G, Improta R, Santoro F. Multistate coupled quantum dynamics of photoexcited cytosine in gas-phase: Nonadiabatic absorption spectrum and ultrafast internal conversions. Chem Phys 2018. [DOI: 10.1016/j.chemphys.2018.08.030] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/06/2023]
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18
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Lee S, Filatov M, Lee S, Choi CH. Eliminating spin-contamination of spin-flip time dependent density functional theory within linear response formalism by the use of zeroth-order mixed-reference (MR) reduced density matrix. J Chem Phys 2018; 149:104101. [DOI: 10.1063/1.5044202] [Citation(s) in RCA: 43] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Seunghoon Lee
- Department of Chemistry, Seoul National University, Seoul 151-747, South Korea
| | - Michael Filatov
- Department of Chemistry, School of Natural Sciences, Ulsan National Institute of Science and Technology (UNIST), Ulsan 44919, South Korea
| | - Sangyoub Lee
- Department of Chemistry, Seoul National University, Seoul 151-747, South Korea
| | - Cheol Ho Choi
- Department of Chemistry, Kyungpook National University, Daegu 702-701, South Korea
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19
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Böckers M, Neugebauer J. Excitation energies of embedded open-shell systems: Unrestricted frozen-density-embedding time-dependent density-functional theory. J Chem Phys 2018; 149:074102. [DOI: 10.1063/1.5040233] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023] Open
Affiliation(s)
- Michael Böckers
- Theoretische Organische Chemie, Organisch-Chemisches Institut and Center for Multiscale Theory and Computation, Westfälische Wilhelms-Universität Münster, Corrensstraße 40, 48149 Münster, Germany
| | - Johannes Neugebauer
- Theoretische Organische Chemie, Organisch-Chemisches Institut and Center for Multiscale Theory and Computation, Westfälische Wilhelms-Universität Münster, Corrensstraße 40, 48149 Münster, Germany
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20
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Fumanal M, Plasser F, Mai S, Daniel C, Gindensperger E. Interstate vibronic coupling constants between electronic excited states for complex molecules. J Chem Phys 2018; 148:124119. [DOI: 10.1063/1.5022760] [Citation(s) in RCA: 23] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Maria Fumanal
- Laboratoire de Chimie Quantique, Institut de Chimie Strasbourg, UMR-7177 CNRS/Université de Strasbourg, 1 Rue Blaise Pascal BP 296/R8, F-67008 Strasbourg, France
| | - Felix Plasser
- Institute of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währinger Straße 17, 1090 Vienna, Austria
| | - Sebastian Mai
- Institute of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währinger Straße 17, 1090 Vienna, Austria
| | - Chantal Daniel
- Laboratoire de Chimie Quantique, Institut de Chimie Strasbourg, UMR-7177 CNRS/Université de Strasbourg, 1 Rue Blaise Pascal BP 296/R8, F-67008 Strasbourg, France
| | - Etienne Gindensperger
- Laboratoire de Chimie Quantique, Institut de Chimie Strasbourg, UMR-7177 CNRS/Université de Strasbourg, 1 Rue Blaise Pascal BP 296/R8, F-67008 Strasbourg, France
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21
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Comparison of the results of a mean-field mixed quantum/classical method with full quantum predictions for nonadiabatic dynamics: application to the $$\pi \pi ^*/n\pi ^*$$ π π ∗ / n π ∗ decay of thymine. Theor Chem Acc 2018. [DOI: 10.1007/s00214-018-2218-z] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/02/2023]
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22
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Cerezo J, Liu Y, Lin N, Zhao X, Improta R, Santoro F. Mixed Quantum/Classical Method for Nonadiabatic Quantum Dynamics in Explicit Solvent Models: The ππ*/nπ* Decay of Thymine in Water as a Test Case. J Chem Theory Comput 2018; 14:820-832. [PMID: 29207245 DOI: 10.1021/acs.jctc.7b01015] [Citation(s) in RCA: 23] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We present a novel mixed quantum classical dynamical method to include solvent effects on internal conversion (IC) processes. All the solute degrees of freedom are represented by a wavepacket moving according to nonadiabatic quantum dynamics, while the motion of an explicit solvent model is described by an ensemble of classical trajectories. The mutual coupling of the solute and solvent dynamics is included within a mean-field framework and the quantum and classical equations of motions are solved simultaneously. As a test case we apply our method to the ultrafast ππ* → nπ* decay of thymine in water. Solvent dynamical response modifies IC yield already on the 50 fs time scale. This effect is due to water librational motions that stabilize the most populated state. Pure static disorder, that is, the existence of different solvent configurations when photoexcitation takes place, also has a remarkable impact on the dynamics.
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Affiliation(s)
- Javier Cerezo
- CNR-Consiglio Nazionale delle Ricerche, Istituto di Chimica dei Composti Organo Metallici (ICCOM-CNR) , SS di Pisa, Area della Ricerca, via G. Moruzzi 1, I-56124 Pisa, Italy.,Departamento de Química Física, Universidad de Murcia , 30100 Murcia, Spain
| | - Yanli Liu
- CNR-Consiglio Nazionale delle Ricerche, Istituto di Chimica dei Composti Organo Metallici (ICCOM-CNR) , SS di Pisa, Area della Ricerca, via G. Moruzzi 1, I-56124 Pisa, Italy.,School of Physics and Optoelectronics Engineering, Ludong University , 264025 Yantai, P. R. China
| | - Na Lin
- State Key Laboratory of Crystal Materials, Shandong University , 250100 Jinan, Shandong, P. R. China
| | - Xian Zhao
- State Key Laboratory of Crystal Materials, Shandong University , 250100 Jinan, Shandong, P. R. China
| | - Roberto Improta
- CNR-Consiglio Nazionale delle Ricerche, Istituto di Biostrutture e Bioimmagini (IBB-CNR) , via Mezzocannone 16, I-80136 Napoli, Italy.,LIDYL, CEA, CNRS, Université Paris-Saclay , F-91191 Gif-sur-Yvette, France
| | - Fabrizio Santoro
- CNR-Consiglio Nazionale delle Ricerche, Istituto di Chimica dei Composti Organo Metallici (ICCOM-CNR) , SS di Pisa, Area della Ricerca, via G. Moruzzi 1, I-56124 Pisa, Italy
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23
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van Meer R, Gritsenko OV, Baerends EJ. Natural excitation orbitals from linear response theories: Time-dependent density functional theory, time-dependent Hartree-Fock, and time-dependent natural orbital functional theory. J Chem Phys 2017; 146:044119. [DOI: 10.1063/1.4974327] [Citation(s) in RCA: 9] [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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24
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Lani G, Di Marino S, Gerolin A, van Leeuwen R, Gori-Giorgi P. The adiabatic strictly-correlated-electrons functional: kernel and exact properties. Phys Chem Chem Phys 2016; 18:21092-101. [PMID: 26986493 DOI: 10.1039/c6cp00339g] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022]
Abstract
We investigate a number of formal properties of the adiabatic strictly-correlated electrons (SCE) functional, relevant for time-dependent potentials and for kernels in linear response time-dependent density functional theory. Among the former, we focus on the compliance to constraints of exact many-body theories, such as the generalised translational invariance and the zero-force theorem. Within the latter, we derive an analytical expression for the adiabatic SCE Hartree exchange-correlation kernel in one dimensional systems, and we compute it numerically for a variety of model densities. We analyse the non-local features of this kernel, particularly the ones that are relevant in tackling problems where kernels derived from local or semi-local functionals are known to fail.
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Affiliation(s)
- Giovanna Lani
- Department of Theoretical Chemistry and Amsterdam Center for Multiscale Modeling, FEW, Vrije Universiteit, De Boelelaan 1083, 1081HV Amsterdam, The Netherlands.
| | - Simone Di Marino
- Laboratoire de Mathématiques d'Orsay, Univ. Paris-Sud, CNRS, Université Paris-Saclay, 91405 Orsay, France
| | - Augusto Gerolin
- Dipartimento di Matematica, Universitá di Pisa, Largo B. Pontecorvo, 56126 Pisa, Italy
| | - Robert van Leeuwen
- Department of Physics, Nanoscience Center, University of Jyväskylä, 40014 Jyväskylä, Finland and European Theoretical Spectroscopy Facility (ETSF)
| | - Paola Gori-Giorgi
- Department of Theoretical Chemistry and Amsterdam Center for Multiscale Modeling, FEW, Vrije Universiteit, De Boelelaan 1083, 1081HV Amsterdam, The Netherlands.
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25
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Pernal K, Gidopoulos NI, Pastorczak E. Excitation Energies of Molecules from Ensemble Density Functional Theory. ADVANCES IN QUANTUM CHEMISTRY 2016. [DOI: 10.1016/bs.aiq.2015.06.001] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
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26
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Reduced Density Matrix Functional Theory (RDMFT) and Linear Response Time-Dependent RDMFT (TD-RDMFT). DENSITY-FUNCTIONAL METHODS FOR EXCITED STATES 2015; 368:125-83. [DOI: 10.1007/128_2015_624] [Citation(s) in RCA: 46] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
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27
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Giesbertz KJH, Gritsenko OV, Baerends EJ. Response calculations based on an independent particle system with the exact one-particle density matrix: Polarizabilities. J Chem Phys 2014; 140:18A517. [DOI: 10.1063/1.4867000] [Citation(s) in RCA: 6] [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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28
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van Meer R, Gritsenko OV, Baerends EJ. Excitation energies with linear response density matrix functional theory along the dissociation coordinate of an electron-pair bond in N-electron systems. J Chem Phys 2014; 140:024101. [DOI: 10.1063/1.4852195] [Citation(s) in RCA: 14] [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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29
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Hedegård ED, Heiden F, Knecht S, Fromager E, Jensen HJA. Assessment of charge-transfer excitations with time-dependent, range-separated density functional theory based on long-range MP2 and multiconfigurational self-consistent field wave functions. J Chem Phys 2013; 139:184308. [DOI: 10.1063/1.4826533] [Citation(s) in RCA: 36] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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30
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Permanent dipole moments and energies of excited states from density functional theory compared with coupled cluster predictions: Case of para-nitroaniline. COMPUT THEOR CHEM 2013. [DOI: 10.1016/j.comptc.2013.06.032] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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31
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Park K, Brunold TC. Combined spectroscopic and computational analysis of the vibrational properties of vitamin B12 in its Co3+, Co2+, and Co1+ oxidation states. J Phys Chem B 2013; 117:5397-410. [PMID: 23477417 DOI: 10.1021/jp309392u] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
While the geometric and electronic structures of vitamin B12 (cyanocobalamin, CNCbl) and its reduced derivatives Co(2+)cobalamin (Co(2+)Cbl) and Co(1+)cobalamin (Co(1+)Cbl(-)) are now reasonably well established, their vibrational properties, in particular their resonance Raman (rR) spectra, have remained quite poorly understood. The goal of this study was to establish definitive assignments of the corrin-based vibrational modes that dominate the rR spectra of vitamin B12 in its Co(3+), Co(2+), and Co(1+) oxidation states. rR spectra were collected for all three species with laser excitation in resonance with the most intense corrin-based π → π* transitions. These experimental data were used to validate the computed vibrational frequencies, eigenvector compositions, and relative rR intensities of the normal modes of interest as obtained by density functional theory (DFT) calculations. Importantly, the computational methodology employed in this study successfully reproduces the experimental observation that the frequencies and rR excitation profiles of the corrin-based vibrational modes vary significantly as a function of the cobalt oxidation state. Our DFT results suggest that this variation reflects large differences in the degree of mixing between the occupied Co 3d orbitals and empty corrin π* orbitals in CNCbl, Co(2+)Cbl, and Co(1+)Cbl(-). As a result, vibrations mainly involving stretching of conjugated C-C and C-N bonds oriented along one axis of the corrin ring may, in fact, couple to a perpendicularly polarized electronic transition. This unusual coupling between electronic transitions and vibrational motions of corrinoids greatly complicates an assignment of the corrin-based normal modes of vibrations on the basis of their rR excitation profiles.
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Affiliation(s)
- Kiyoung Park
- Department of Chemistry, University of Wisconsin-Madison, Madison, Wisconsin 53706, United States
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32
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Tassi M, Theophilou I, Thanos S. Double excitations from modified Hartree Fock subsequent minimization scheme. J Chem Phys 2013; 138:124107. [PMID: 23556709 DOI: 10.1063/1.4797466] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Doubly excited states have nowadays become important in technological applications, e.g., in increasing the efficiency of solar cells and therefore, their description using ab initio methods is a great theoretical challenge as double excitations cannot be described by linear response theories based on a single Slater determinant. In the present work we extend our recently developed Hartree-Fock (HF) approximation for calculating singly excited states [M. Tassi, I. Theophilou, and S. Thanos, Int. J. Quantum Chem. 113, 690 (2013)] in order to allow for the calculation of doubly excited states. We describe the double excitation as two holes in the subspace spanned from the occupied HF orbitals and two particles in the subspace of virtual HF orbitals. A subsequent minimization of the energy results to the determination of the spin orbitals of both the holes and the particles in the occupied and virtual subspaces, respectively. We test our method, for various atoms, H2 and polyene molecules which are known to have excitations presenting a significant double excitation character. Importantly, our approach is computationally inexpensive.
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Affiliation(s)
- M Tassi
- Institute of Material Science, Demokritos National Center for Scientific Research, 15310 Athens, Greece.
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33
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van Meer R, Gritsenko OV, Giesbertz KJH, Baerends EJ. Oscillator strengths of electronic excitations with response theory using phase including natural orbital functionals. J Chem Phys 2013; 138:094114. [DOI: 10.1063/1.4793740] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022] Open
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34
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Fromager E, Knecht S, Jensen HJA. Multi-configuration time-dependent density-functional theory based on range separation. J Chem Phys 2013; 138:084101. [DOI: 10.1063/1.4792199] [Citation(s) in RCA: 76] [Impact Index Per Article: 6.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022] Open
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35
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Petrenko T, Neese F. Efficient and automatic calculation of optical band shapes and resonance Raman spectra for larger molecules within the independent mode displaced harmonic oscillator model. J Chem Phys 2012; 137:234107. [DOI: 10.1063/1.4771959] [Citation(s) in RCA: 92] [Impact Index Per Article: 7.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022] Open
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36
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Pernal K. Excitation energies from range-separated time-dependent density and density matrix functional theory. J Chem Phys 2012; 136:184105. [DOI: 10.1063/1.4712019] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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37
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Giesbertz KJH, Gritsenko OV, Baerends EJ. Response calculations based on an independent particle system with the exact one-particle density matrix: Excitation energies. J Chem Phys 2012; 136:094104. [DOI: 10.1063/1.3687344] [Citation(s) in RCA: 32] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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38
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Tavernelli I, Curchod BF, Rothlisberger U. Nonadiabatic molecular dynamics with solvent effects: A LR-TDDFT QM/MM study of ruthenium (II) tris (bipyridine) in water. Chem Phys 2011. [DOI: 10.1016/j.chemphys.2011.03.021] [Citation(s) in RCA: 89] [Impact Index Per Article: 6.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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39
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Ljubić I, Sabljić A. CASSCF/CASPT2 and TD-DFT Study of Valence and Rydberg Electronic Transitions in Fluorene, Carbazole, Dibenzofuran, and Dibenzothiophene. J Phys Chem A 2011; 115:4840-50. [DOI: 10.1021/jp201618a] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Ivan Ljubić
- Department of Physical Chemistry, Ruđer Bošković Institute, Bijenička cesta 54, P.O. Box 180, HR-10002, Zagreb, Republic of Croatia
| | - Aleksandar Sabljić
- Department of Physical Chemistry, Ruđer Bošković Institute, Bijenička cesta 54, P.O. Box 180, HR-10002, Zagreb, Republic of Croatia
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40
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Kovyrshin A, Neugebauer J. State-selective optimization of local excited electronic states in extended systems. J Chem Phys 2010; 133:174114. [DOI: 10.1063/1.3488230] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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41
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Giesbertz KJH, Gritsenko OV, Baerends EJ. The adiabatic approximation in time-dependent density matrix functional theory: Response properties from dynamics of phase-including natural orbitals. J Chem Phys 2010; 133:174119. [DOI: 10.1063/1.3499601] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.0] [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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Bernasconi L. Statistical average of model orbital potentials for extended systems: Calculation of the optical absorption spectrum of liquid water. J Chem Phys 2010. [DOI: 10.1063/1.3414351] [Citation(s) in RCA: 11] [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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43
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Liang W, Isborn CM, Li X. Obtaining Hartree–Fock and density functional theory doubly excited states with Car–Parrinello density matrix search. J Chem Phys 2009; 131:204101. [DOI: 10.1063/1.3266564] [Citation(s) in RCA: 6] [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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44
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Gritsenko O, Baerends EJ. The analog of Koopmans’ theorem for virtual Kohn–Sham orbital energies. CAN J CHEM 2009. [DOI: 10.1139/v09-088] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
An analog of Koopmans’ theorem is formulated for the energies, εa, of virtual Kohn–Sham (KS) molecular orbitals (MOs) from the requirement that the KS theory provides, in principle, not only the exact electron density, but also its exact response. The starting point is the Kohn–Sham analog of Koopmans’ theorem, relating the vertical ionization energies, Ii, to the energies, εi, of the occupied MOs ( Chong, D.P.; Gritsenko, O.V.; Baerends, E.J. J. Chem. Phys. 2002, 116, 1760 ). Combining this with the coupled-perturbed equations of time-dependent density functional theory (TDDFT), exact relations between the energies, εa, of virtual KS MOs and the excitation energies, ωia, and vertical ionization energies (VIPs), Ii, are obtained. In the small matrix approximation for the coupling matrix K of TDDFT, two limiting cases of these relations are considered. In the limit of a negligible matrix element, Kia,ia, the energy, εa, can be interpreted as (minus) the energy of ionization from the ?i → ?a excited state, εa ≈ –Ia, where –Ia is defined from the relation Ii = ωia + Ia. This relation breaks down in special cases, such as charge-transfer transitions and the HOMO–LUMO (highest occupied molecular orbital – lowest unoccupied molecular orbital) transition of a dissociating electron-pair bond (also of charge-transfer character). The present results highlight the important difference between virtual orbital energies in the Kohn–Sham model (εa ≈ –Ia) and in the Hartree–Fock model (εa ≈ –Aa). Kohn–Sham differences εa – εi approximate the excitation energy, ωia, while Hartree–Fock differences [Formula: see text] do not approximate excitation energies but approximate the difference of an ionization energy and an electron affinity, Ii – Aa.
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Affiliation(s)
- Oleg Gritsenko
- Afdeling Theoretische Chemie, Vrije Universiteit, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
- Center for Superfunctional Materials, Dep. of Chemistry, Pohang University of Science and Technology, Pohang, South-Korea
| | - Evert Jan Baerends
- Afdeling Theoretische Chemie, Vrije Universiteit, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
- Center for Superfunctional Materials, Dep. of Chemistry, Pohang University of Science and Technology, Pohang, South-Korea
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45
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Hu C, Sugino O, Tateyama Y. All-electron calculation of nonadiabatic couplings from time-dependent density functional theory: Probing with the Hartree–Fock exact exchange. J Chem Phys 2009; 131:114101. [DOI: 10.1063/1.3226344] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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46
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Mikhailov IA, Belfield KD, Masunov AE. DFT-Based Methods in the Design of Two-Photon Operated Molecular Switches. J Phys Chem A 2009; 113:7080-9. [DOI: 10.1021/jp8113368] [Citation(s) in RCA: 47] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Ivan A. Mikhailov
- NanoScience Technology Center, University of Central Florida, 12424 Research Parkway, Orlando, Florida 32826, and Department of Chemistry, CREOL, College of Optics and Photonics, and Department of Physics, University of Central Florida, P.O. Box 162366, Orlando, Florida 32816-2366
| | - Kevin D. Belfield
- NanoScience Technology Center, University of Central Florida, 12424 Research Parkway, Orlando, Florida 32826, and Department of Chemistry, CREOL, College of Optics and Photonics, and Department of Physics, University of Central Florida, P.O. Box 162366, Orlando, Florida 32816-2366
| | - Artëm E. Masunov
- NanoScience Technology Center, University of Central Florida, 12424 Research Parkway, Orlando, Florida 32826, and Department of Chemistry, CREOL, College of Optics and Photonics, and Department of Physics, University of Central Florida, P.O. Box 162366, Orlando, Florida 32816-2366
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Giesbertz KJH, Pernal K, Gritsenko OV, Baerends EJ. Excitation energies with time-dependent density matrix functional theory: Singlet two-electron systems. J Chem Phys 2009; 130:114104. [DOI: 10.1063/1.3079821] [Citation(s) in RCA: 50] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Thiele M, Kümmel S. Photoabsorption spectra from adiabatically exact time-dependent density-functional theory in real time. Phys Chem Chem Phys 2009; 11:4631-9. [DOI: 10.1039/b902567g] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Isborn CM, Li X. Modeling the doubly excited state with time-dependent Hartree–Fock and density functional theories. J Chem Phys 2008; 129:204107. [DOI: 10.1063/1.3020336] [Citation(s) in RCA: 46] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023] Open
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Giesbertz KJH, Baerends EJ, Gritsenko OV. Charge transfer, double and bond-breaking excitations with time-dependent density matrix functional theory. PHYSICAL REVIEW LETTERS 2008; 101:033004. [PMID: 18764252 DOI: 10.1103/physrevlett.101.033004] [Citation(s) in RCA: 44] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/05/2008] [Indexed: 05/26/2023]
Abstract
Time-dependent density functional theory (TDDFT) in its current adiabatic implementations exhibits three remarkable failures: (a) completely wrong behavior of the excited state surface along a bond-breaking coordinate; (b) lack of doubly excited configurations; (c) much too low charge transfer excitation energies. These TDDFT failure cases are all strikingly exhibited by prototype two-electron systems such as dissociating H2 and HeH+. We find for these systems with time-dependent density matrix functional theory that: (a) Within previously formulated simple adiabatic approximations, the bonding-to-antibonding excited state surface as well as charge transfer excitations are described without problems, but not the double excitations; (b) An adiabatic approximation is formulated in which also the double excitations are fully accounted for.
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Affiliation(s)
- K J H Giesbertz
- Afdeling Theoretische Chemie, Vrije Universiteit, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
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