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Filatov M, Mironov V, Kraka E. Unraveling the effect of aromaticity for the dynamics of excited states of single benzene fluorophores. J Comput Chem 2024; 45:1033-1045. [PMID: 38216513 DOI: 10.1002/jcc.27304] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/29/2023] [Revised: 11/23/2023] [Accepted: 12/23/2023] [Indexed: 01/14/2024]
Abstract
The photophysical properties of a series of recently synthesized single benzene fluorophores were investigated using ensemble density functional theory calculations. The energetic stability of the ground and excited state species were counterposed against the aromaticity index derived from local vibrational modes. It was found that the large Stokes shift of the fluorophores (up to ca. 5800 cm - 1 ) originates from the effect of electron donating and electron withdrawing substituents rather than π -delocalization and related (anti-)aromaticity. On the basis of nonadiabatic molecular dynamics simulations, the absence of fluorescence from one of the regioisomers was explained by the occurrence of easily accessible S 1 /S 0 conical intersections below the vertical excitation energy level. It is demonstrated in the manuscript that the analysis of local mode force constants and the related aromaticity index represent a useful tool for the characterization of π -delocalization effects in π -conjugated compounds.
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Affiliation(s)
- Michael Filatov
- Center for Multidimensional Carbon Materials, Institute for Basic Science (IBS), Ulsan, Republic of Korea
- Computational and Theoretical Chemistry Group (CATCO), Department of Chemistry, Southern Methodist University, Dallas, Texas, USA
| | | | - Elfi Kraka
- Computational and Theoretical Chemistry Group (CATCO), Department of Chemistry, Southern Methodist University, Dallas, Texas, USA
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2
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Lee IS, Filatov M, Min SK. Formulation of transition dipole gradients for non-adiabatic dynamics with polaritonic states. J Chem Phys 2024; 160:154103. [PMID: 38624116 DOI: 10.1063/5.0202095] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/02/2024] [Accepted: 03/31/2024] [Indexed: 04/17/2024] Open
Abstract
A general formulation of the strong coupling between photons confined in a cavity and molecular electronic states is developed for the state-interaction state-average spin-restricted ensemble-referenced Kohn-Sham method. The light-matter interaction is included in the Jaynes-Cummings model, which requires the derivation and implementation of the analytical derivatives of the transition dipole moments between the molecular electronic states. The developed formalism is tested in the simulations of the nonadiabatic dynamics in the polaritonic states resulting from the strong coupling between the cavity photon mode and the ground and excited states of the penta-2,4-dieniminium cation, also known as PSB3. Comparison with the field-free simulations of the excited-state decay dynamics in PSB3 reveals that the light-matter coupling can considerably alter the decay dynamics by increasing the excited state lifetime and hindering photochemically induced torsion about the C=C double bonds of PSB3. The necessity of obtaining analytical transition dipole gradients for the accurate propagation of the dynamics is underlined.
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Affiliation(s)
- In Seong Lee
- Center for Multidimensional Carbon Materials (CMCM), Institute for Basic Science (IBS), Ulsan 44919, Republic of Korea
| | - Michael Filatov
- Center for Multidimensional Carbon Materials (CMCM), Institute for Basic Science (IBS), Ulsan 44919, Republic of Korea
| | - Seung Kyu Min
- Center for Multidimensional Carbon Materials (CMCM), Institute for Basic Science (IBS), Ulsan 44919, Republic of Korea
- Department of Chemistry, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulju-gun, Ulsan 44919, Republic of Korea
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3
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Barneschi L, Kaliakin D, Huix-Rotllant M, Ferré N, Filatov Gulak M, Olivucci M. Assessment of the Electron Correlation Treatment on the Quantum-Classical Dynamics of Retinal Protonated Schiff Base Models: XMS-CASPT2, RMS-CASPT2, and REKS Methods. J Chem Theory Comput 2023; 19:8189-8200. [PMID: 37937990 DOI: 10.1021/acs.jctc.3c00879] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2023]
Abstract
We compare the performance of three different multiconfigurational wave function-based electronic structure methods and two implementations of the spin-restricted ensemble-referenced Kohn-Sham (REKS) method. The study is characterized by three features: (i) it uses a small set of quantum-classical trajectories rather than potential energy surface mapping, (ii) it focuses, exclusively, on the photoisomerization of retinal protonated Schiff base models, and (iii) it probes the effect of both methyl substitution and the increase in length of the conjugate π-system. For each tested method, the corresponding analytical gradients are used to drive the quantum-classical (Tully's FSSH method) trajectory propagation, including the recent multistate XMS-CASPT2 and RMS-CASPT2 gradients. It is shown that while CASSCF, XMS-CASPT2, and RMS-CASPT2 yield consistent photoisomerization dynamics descriptions, REKS produces, in some of these systems, qualitatively different behavior that is attributed to a flatter and topographically different excited state potential energy surface. The origin of this behavior can be traced back to the effect of the employed density functional approximation. The above studies are further expanded by benchmarking, at the CASSCF and REKS levels, the electronic structure methods using a QM/MM model of the visual pigment rhodopsin.
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Affiliation(s)
- Leonardo Barneschi
- Dipartimento di Biotecnologie, Chimica e Farmacia, Università di Siena, I-53100 Siena, Italy
| | - Danil Kaliakin
- Department of Chemistry, Bowling Green State University, Bowling Green, Ohio 43403, United States
| | - Miquel Huix-Rotllant
- Aix-Marseille Université, CNRS, Institut Chimie Radicalaire, 13013 Marseille, France
| | - Nicolas Ferré
- Aix-Marseille Université, CNRS, Institut Chimie Radicalaire, 13013 Marseille, France
| | - Michael Filatov Gulak
- Department of Chemistry, Southern Methodist University, Dallas, Texas 75275, United States
| | - Massimo Olivucci
- Dipartimento di Biotecnologie, Chimica e Farmacia, Università di Siena, I-53100 Siena, Italy
- Department of Chemistry, Bowling Green State University, Bowling Green, Ohio 43403, United States
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4
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Li Manni G, Fdez. Galván I, Alavi A, Aleotti F, Aquilante F, Autschbach J, Avagliano D, Baiardi A, Bao JJ, Battaglia S, Birnoschi L, Blanco-González A, Bokarev SI, Broer R, Cacciari R, Calio PB, Carlson RK, Carvalho Couto R, Cerdán L, Chibotaru LF, Chilton NF, Church JR, Conti I, Coriani S, Cuéllar-Zuquin J, Daoud RE, Dattani N, Decleva P, de Graaf C, Delcey M, De Vico L, Dobrautz W, Dong SS, Feng R, Ferré N, Filatov(Gulak) M, Gagliardi L, Garavelli M, González L, Guan Y, Guo M, Hennefarth MR, Hermes MR, Hoyer CE, Huix-Rotllant M, Jaiswal VK, Kaiser A, Kaliakin DS, Khamesian M, King DS, Kochetov V, Krośnicki M, Kumaar AA, Larsson ED, Lehtola S, Lepetit MB, Lischka H, López Ríos P, Lundberg M, Ma D, Mai S, Marquetand P, Merritt ICD, Montorsi F, Mörchen M, Nenov A, Nguyen VHA, Nishimoto Y, Oakley MS, Olivucci M, Oppel M, Padula D, Pandharkar R, Phung QM, Plasser F, Raggi G, Rebolini E, Reiher M, Rivalta I, Roca-Sanjuán D, Romig T, Safari AA, Sánchez-Mansilla A, Sand AM, Schapiro I, Scott TR, Segarra-Martí J, Segatta F, Sergentu DC, Sharma P, Shepard R, Shu Y, Staab JK, Straatsma TP, Sørensen LK, Tenorio BNC, Truhlar DG, Ungur L, Vacher M, Veryazov V, Voß TA, Weser O, Wu D, Yang X, Yarkony D, Zhou C, Zobel JP, Lindh R. The OpenMolcas Web: A Community-Driven Approach to Advancing Computational Chemistry. J Chem Theory Comput 2023; 19:6933-6991. [PMID: 37216210 PMCID: PMC10601490 DOI: 10.1021/acs.jctc.3c00182] [Citation(s) in RCA: 63] [Impact Index Per Article: 63.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/13/2023] [Indexed: 05/24/2023]
Abstract
The developments of the open-source OpenMolcas chemistry software environment since spring 2020 are described, with a focus on novel functionalities accessible in the stable branch of the package or via interfaces with other packages. These developments span a wide range of topics in computational chemistry and are presented in thematic sections: electronic structure theory, electronic spectroscopy simulations, analytic gradients and molecular structure optimizations, ab initio molecular dynamics, and other new features. This report offers an overview of the chemical phenomena and processes OpenMolcas can address, while showing that OpenMolcas is an attractive platform for state-of-the-art atomistic computer simulations.
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Affiliation(s)
- Giovanni Li Manni
- Electronic
Structure Theory Department, Max Planck
Institute for Solid State Research, Heisenbergstraße 1, 70569 Stuttgart, Germany
| | - Ignacio Fdez. Galván
- Department
of Chemistry − BMC, Uppsala University, P.O. Box 576, SE-75123 Uppsala, Sweden
| | - Ali Alavi
- Electronic
Structure Theory Department, Max Planck
Institute for Solid State Research, Heisenbergstraße 1, 70569 Stuttgart, Germany
- Yusuf Hamied
Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom
| | - Flavia Aleotti
- Department
of Industrial Chemistry “Toso Montanari”, University of Bologna, 40136 Bologna, Italy
| | - Francesco Aquilante
- Theory and
Simulation of Materials (THEOS) and National Centre for Computational
Design and Discovery of Novel Materials (MARVEL), École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
| | - Jochen Autschbach
- Department
of Chemistry, University at Buffalo, State
University of New York, Buffalo, New York 14260-3000, United States
| | - Davide Avagliano
- Department
of Industrial Chemistry “Toso Montanari”, University of Bologna, 40136 Bologna, Italy
| | - Alberto Baiardi
- ETH Zurich, Laboratory for Physical Chemistry, Vladimir-Prelog-Weg 2, 8093 Zurich, Switzerland
| | - Jie J. Bao
- Department
of Chemistry, Chemical Theory Center, and Minnesota Supercomputing
Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United
States
| | - Stefano Battaglia
- Department
of Chemistry − BMC, Uppsala University, P.O. Box 576, SE-75123 Uppsala, Sweden
| | - Letitia Birnoschi
- The Department
of Chemistry, The University of Manchester, M13 9PL, Manchester, U.K.
| | - Alejandro Blanco-González
- Chemistry
Department, Bowling Green State University, Overmann Hall, Bowling Green, Ohio 43403, United States
| | - Sergey I. Bokarev
- Institut
für Physik, Universität Rostock, Albert-Einstein-Str. 23-24, 18059 Rostock, Germany
- Chemistry
Department, School of Natural Sciences, Technical University of Munich, Lichtenbergstr. 4, 85748 Garching, Germany
| | - Ria Broer
- Theoretical
Chemistry, Zernike Institute for Advanced Materials, University of Groningen, Nijenborgh 4, 9747AG Groningen, The Netherlands
| | - Roberto Cacciari
- Dipartimento
di Biotecnologie, Chimica e Farmacia, Università
di Siena, Via A. Moro 2, 53100 Siena, Italy
| | - Paul B. Calio
- Department
of Chemistry, Pritzker School of Molecular Engineering, James Franck
Institute, Chicago Center for Theoretical Chemistry, The University of Chicago, Chicago, Illinois 60637, United States
| | - Rebecca K. Carlson
- Department
of Chemistry, Chemical Theory Center, and Minnesota Supercomputing
Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United
States
| | - Rafael Carvalho Couto
- Division
of Theoretical Chemistry and Biology, School of Engineering Sciences
in Chemistry, Biotechnology and Health, KTH Royal Institute of Technology, SE-106 91 Stockholm, Sweden
| | - Luis Cerdán
- Instituto
de Ciencia Molecular, Universitat de València, Catedrático José Beltrán
Martínez n. 2, 46980 Paterna, Spain
- Instituto
de Óptica (IO−CSIC), Consejo
Superior de Investigaciones Científicas, 28006, Madrid, Spain
| | - Liviu F. Chibotaru
- Department
of Chemistry, KU Leuven, Celestijnenlaan 200F, 3001 Leuven, Belgium
| | - Nicholas F. Chilton
- The Department
of Chemistry, The University of Manchester, M13 9PL, Manchester, U.K.
| | | | - Irene Conti
- Department
of Industrial Chemistry “Toso Montanari”, University of Bologna, 40136 Bologna, Italy
| | - Sonia Coriani
- Department
of Chemistry, Technical University of Denmark, Kemitorvet Bldg 207, 2800 Kongens Lyngby, Denmark
| | - Juliana Cuéllar-Zuquin
- Instituto
de Ciencia Molecular, Universitat de València, Catedrático José Beltrán
Martínez n. 2, 46980 Paterna, Spain
| | - Razan E. Daoud
- Dipartimento
di Biotecnologie, Chimica e Farmacia, Università
di Siena, Via A. Moro 2, 53100 Siena, Italy
| | - Nike Dattani
- HPQC Labs, Waterloo, N2T 2K9 Ontario Canada
- HPQC College, Waterloo, N2T 2K9 Ontario Canada
| | - Piero Decleva
- Istituto
Officina dei Materiali IOM-CNR and Dipartimento di Scienze Chimiche
e Farmaceutiche, Università degli
Studi di Trieste, I-34121 Trieste, Italy
| | - Coen de Graaf
- Department
of Physical and Inorganic Chemistry, Universitat
Rovira i Virgili, Tarragona 43007, Spain
- ICREA, Pg. Lluís
Companys 23, 08010 Barcelona, Spain
| | - Mickaël
G. Delcey
- Division
of Theoretical Chemistry and Biology, School of Engineering Sciences
in Chemistry, Biotechnology and Health, KTH Royal Institute of Technology, SE-106 91 Stockholm, Sweden
| | - Luca De Vico
- Dipartimento
di Biotecnologie, Chimica e Farmacia, Università
di Siena, Via A. Moro 2, 53100 Siena, Italy
| | - Werner Dobrautz
- Chalmers
University of Technology, Department of Chemistry
and Chemical Engineering, 41296 Gothenburg, Sweden
| | - Sijia S. Dong
- Department
of Chemistry, Chemical Theory Center, and Minnesota Supercomputing
Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United
States
- Department
of Chemistry and Chemical Biology, Department of Physics, and Department
of Chemical Engineering, Northeastern University, Boston, Massachusetts 02115, United States
| | - Rulin Feng
- Department
of Chemistry, University at Buffalo, State
University of New York, Buffalo, New York 14260-3000, United States
- Department
of Chemistry, Fudan University, Shanghai 200433, China
| | - Nicolas Ferré
- Institut
de Chimie Radicalaire (UMR-7273), Aix-Marseille
Univ, CNRS, ICR 13013 Marseille, France
| | | | - Laura Gagliardi
- Department
of Chemistry, Chemical Theory Center, and Minnesota Supercomputing
Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United
States
- Department
of Chemistry, Pritzker School of Molecular Engineering, James Franck
Institute, Chicago Center for Theoretical Chemistry, The University of Chicago, Chicago, Illinois 60637, United States
| | - Marco Garavelli
- Department
of Industrial Chemistry “Toso Montanari”, University of Bologna, 40136 Bologna, Italy
| | - Leticia González
- Institute
of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währinger Straße 17, A-1090 Vienna, Austria
| | - Yafu Guan
- State Key
Laboratory of Molecular Reaction Dynamics and Center for Theoretical
Computational Chemistry, Dalian Institute
of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, People’s Republic of China
| | - Meiyuan Guo
- SSRL, SLAC National Accelerator Laboratory, Menlo Park, California 94025, United States
| | - Matthew R. Hennefarth
- Department
of Chemistry, Pritzker School of Molecular Engineering, James Franck
Institute, Chicago Center for Theoretical Chemistry, The University of Chicago, Chicago, Illinois 60637, United States
| | - Matthew R. Hermes
- Department
of Chemistry, Chemical Theory Center, and Minnesota Supercomputing
Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United
States
- Department
of Chemistry, Pritzker School of Molecular Engineering, James Franck
Institute, Chicago Center for Theoretical Chemistry, The University of Chicago, Chicago, Illinois 60637, United States
| | - Chad E. Hoyer
- Department
of Chemistry, Chemical Theory Center, and Minnesota Supercomputing
Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United
States
- Department
of Chemistry, University of Washington, Seattle, Washington 98195, United States
| | - Miquel Huix-Rotllant
- Institut
de Chimie Radicalaire (UMR-7273), Aix-Marseille
Univ, CNRS, ICR 13013 Marseille, France
| | - Vishal Kumar Jaiswal
- Department
of Industrial Chemistry “Toso Montanari”, University of Bologna, 40136 Bologna, Italy
| | - Andy Kaiser
- Institut
für Physik, Universität Rostock, Albert-Einstein-Str. 23-24, 18059 Rostock, Germany
| | - Danil S. Kaliakin
- Chemistry
Department, Bowling Green State University, Overmann Hall, Bowling Green, Ohio 43403, United States
| | - Marjan Khamesian
- Department
of Chemistry − BMC, Uppsala University, P.O. Box 576, SE-75123 Uppsala, Sweden
| | - Daniel S. King
- Department
of Chemistry, Pritzker School of Molecular Engineering, James Franck
Institute, Chicago Center for Theoretical Chemistry, The University of Chicago, Chicago, Illinois 60637, United States
| | - Vladislav Kochetov
- Institut
für Physik, Universität Rostock, Albert-Einstein-Str. 23-24, 18059 Rostock, Germany
| | - Marek Krośnicki
- Institute
of Theoretical Physics and Astrophysics, Faculty of Mathematics, Physics
and Informatics, University of Gdańsk, ul Wita Stwosza 57, 80-952, Gdańsk, Poland
| | | | - Ernst D. Larsson
- Division
of Theoretical Chemistry, Chemical Centre, Lund University, P.O. Box 124, SE-22100, Lund, Sweden
| | - Susi Lehtola
- Molecular
Sciences Software Institute, Blacksburg, Virginia 24061, United States
- Department
of Chemistry, University of Helsinki, P.O. Box 55, FI-00014 University of Helsinki, Finland
| | - Marie-Bernadette Lepetit
- Condensed
Matter Theory Group, Institut Néel, CNRS UPR 2940, 38042 Grenoble, France
- Theory
Group, Institut Laue Langevin, 38042 Grenoble, France
| | - Hans Lischka
- Department
of Chemistry and Biochemistry, Texas Tech
University, Lubbock, Texas 79409-1061, United States
| | - Pablo López Ríos
- Electronic
Structure Theory Department, Max Planck
Institute for Solid State Research, Heisenbergstraße 1, 70569 Stuttgart, Germany
| | - Marcus Lundberg
- Department
of Chemistry − Ångström Laboratory, Uppsala University, SE-75120 Uppsala, Sweden
| | - Dongxia Ma
- Electronic
Structure Theory Department, Max Planck
Institute for Solid State Research, Heisenbergstraße 1, 70569 Stuttgart, Germany
- Department
of Chemistry, Chemical Theory Center, and Minnesota Supercomputing
Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United
States
| | - Sebastian Mai
- Institute
of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währinger Straße 17, A-1090 Vienna, Austria
| | - Philipp Marquetand
- Institute
of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währinger Straße 17, A-1090 Vienna, Austria
| | | | - Francesco Montorsi
- Department
of Industrial Chemistry “Toso Montanari”, University of Bologna, 40136 Bologna, Italy
| | - Maximilian Mörchen
- ETH Zurich, Laboratory for Physical Chemistry, Vladimir-Prelog-Weg 2, 8093 Zurich, Switzerland
| | - Artur Nenov
- Department
of Industrial Chemistry “Toso Montanari”, University of Bologna, 40136 Bologna, Italy
| | - Vu Ha Anh Nguyen
- Department
of Chemistry, National University of Singapore, 3 Science Drive 3, 117543 Singapore
| | - Yoshio Nishimoto
- Graduate
School of Science, Kyoto University, Kyoto 606-8502, Japan
| | - Meagan S. Oakley
- Department
of Chemistry, Chemical Theory Center, and Minnesota Supercomputing
Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United
States
| | - Massimo Olivucci
- Chemistry
Department, Bowling Green State University, Overmann Hall, Bowling Green, Ohio 43403, United States
- Dipartimento
di Biotecnologie, Chimica e Farmacia, Università
di Siena, Via A. Moro 2, 53100 Siena, Italy
| | - Markus Oppel
- Institute
of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währinger Straße 17, A-1090 Vienna, Austria
| | - Daniele Padula
- Dipartimento
di Biotecnologie, Chimica e Farmacia, Università
di Siena, Via A. Moro 2, 53100 Siena, Italy
| | - Riddhish Pandharkar
- Department
of Chemistry, Chemical Theory Center, and Minnesota Supercomputing
Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United
States
- Department
of Chemistry, Pritzker School of Molecular Engineering, James Franck
Institute, Chicago Center for Theoretical Chemistry, The University of Chicago, Chicago, Illinois 60637, United States
| | - Quan Manh Phung
- Department
of Chemistry, Graduate School of Science, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, Aichi 464-8602, Japan
- Institute
of Transformative Bio-Molecules (WPI-ITbM), Nagoya University, Furo-cho, Chikusa-ku, Nagoya, Aichi 464-8601, Japan
| | - Felix Plasser
- Department
of Chemistry, Loughborough University, Loughborough, LE11 3TU, U.K.
| | - Gerardo Raggi
- Department
of Chemistry − BMC, Uppsala University, P.O. Box 576, SE-75123 Uppsala, Sweden
- Quantum
Materials and Software LTD, 128 City Road, London, EC1V 2NX, United Kingdom
| | - Elisa Rebolini
- Scientific
Computing Group, Institut Laue Langevin, 38042 Grenoble, France
| | - Markus Reiher
- ETH Zurich, Laboratory for Physical Chemistry, Vladimir-Prelog-Weg 2, 8093 Zurich, Switzerland
| | - Ivan Rivalta
- Department
of Industrial Chemistry “Toso Montanari”, University of Bologna, 40136 Bologna, Italy
| | - Daniel Roca-Sanjuán
- Instituto
de Ciencia Molecular, Universitat de València, Catedrático José Beltrán
Martínez n. 2, 46980 Paterna, Spain
| | - Thies Romig
- Institut
für Physik, Universität Rostock, Albert-Einstein-Str. 23-24, 18059 Rostock, Germany
| | - Arta Anushirwan Safari
- Electronic
Structure Theory Department, Max Planck
Institute for Solid State Research, Heisenbergstraße 1, 70569 Stuttgart, Germany
| | - Aitor Sánchez-Mansilla
- Department
of Physical and Inorganic Chemistry, Universitat
Rovira i Virgili, Tarragona 43007, Spain
| | - Andrew M. Sand
- Department
of Chemistry, Chemical Theory Center, and Minnesota Supercomputing
Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United
States
- Department
of Chemistry and Biochemistry, Butler University, Indianapolis, Indiana 46208, United States
| | - Igor Schapiro
- Institute
of Chemistry, The Hebrew University of Jerusalem, Jerusalem 91904, Israel
| | - Thais R. Scott
- Department
of Chemistry, Chemical Theory Center, and Minnesota Supercomputing
Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United
States
- Department
of Chemistry, Pritzker School of Molecular Engineering, James Franck
Institute, Chicago Center for Theoretical Chemistry, The University of Chicago, Chicago, Illinois 60637, United States
- Department
of Chemistry, University of California, Irvine, California 92697, United States
| | - Javier Segarra-Martí
- Instituto
de Ciencia Molecular, Universitat de València, Catedrático José Beltrán
Martínez n. 2, 46980 Paterna, Spain
| | - Francesco Segatta
- Department
of Industrial Chemistry “Toso Montanari”, University of Bologna, 40136 Bologna, Italy
| | - Dumitru-Claudiu Sergentu
- Department
of Chemistry, University at Buffalo, State
University of New York, Buffalo, New York 14260-3000, United States
- Laboratory
RA-03, RECENT AIR, A. I. Cuza University of Iaşi, RA-03 Laboratory (RECENT AIR), Iaşi 700506, Romania
| | - Prachi Sharma
- Department
of Chemistry, Chemical Theory Center, and Minnesota Supercomputing
Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United
States
| | - Ron Shepard
- Chemical
Sciences and Engineering Division, Argonne
National Laboratory, Lemont, Illinois 60439, USA
| | - Yinan Shu
- Department
of Chemistry, Chemical Theory Center, and Minnesota Supercomputing
Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United
States
| | - Jakob K. Staab
- The Department
of Chemistry, The University of Manchester, M13 9PL, Manchester, U.K.
| | - Tjerk P. Straatsma
- National
Center for Computational Sciences, Oak Ridge
National Laboratory, Oak Ridge, Tennessee 37831-6373, United States
- Department
of Chemistry and Biochemistry, University
of Alabama, Tuscaloosa, Alabama 35487-0336, United States
| | | | - Bruno Nunes Cabral Tenorio
- Department
of Chemistry, Technical University of Denmark, Kemitorvet Bldg 207, 2800 Kongens Lyngby, Denmark
| | - Donald G. Truhlar
- Department
of Chemistry, Chemical Theory Center, and Minnesota Supercomputing
Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United
States
| | - Liviu Ungur
- Department
of Chemistry, National University of Singapore, 3 Science Drive 3, 117543 Singapore
| | - Morgane Vacher
- Nantes
Université, CNRS, CEISAM, UMR 6230, F-44000 Nantes, France
| | - Valera Veryazov
- Division
of Theoretical Chemistry, Chemical Centre, Lund University, P.O. Box 124, SE-22100, Lund, Sweden
| | - Torben Arne Voß
- Institut
für Physik, Universität Rostock, Albert-Einstein-Str. 23-24, 18059 Rostock, Germany
| | - Oskar Weser
- Electronic
Structure Theory Department, Max Planck
Institute for Solid State Research, Heisenbergstraße 1, 70569 Stuttgart, Germany
| | - Dihua Wu
- Department
of Chemistry, Chemical Theory Center, and Minnesota Supercomputing
Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United
States
| | - Xuchun Yang
- Chemistry
Department, Bowling Green State University, Overmann Hall, Bowling Green, Ohio 43403, United States
| | - David Yarkony
- Department
of Chemistry, Johns Hopkins University, Baltimore, Maryland 21218, United States
| | - Chen Zhou
- Department
of Chemistry, Chemical Theory Center, and Minnesota Supercomputing
Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United
States
| | - J. Patrick Zobel
- Institute
of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währinger Straße 17, A-1090 Vienna, Austria
| | - Roland Lindh
- Department
of Chemistry − BMC, Uppsala University, P.O. Box 576, SE-75123 Uppsala, Sweden
- Uppsala
Center for Computational Chemistry (UC3), Uppsala University, PO Box 576, SE-751 23 Uppsala. Sweden
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5
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Towards the engineering of a photon-only two-stroke rotary molecular motor. Nat Commun 2022; 13:6433. [PMID: 36307476 PMCID: PMC9616945 DOI: 10.1038/s41467-022-33695-x] [Citation(s) in RCA: 12] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/07/2022] [Accepted: 09/27/2022] [Indexed: 12/25/2022] Open
Abstract
The rational engineering of photoresponsive materials, e.g., light-driven molecular motors, is a challenging task. Here, we use structure-related design rules to prepare a prototype molecular rotary motor capable of completing an entire revolution using, exclusively, the sequential absorption of two photons; i.e., a photon-only two-stroke motor. The mechanism of rotation is then characterised using a combination of non-adiabatic dynamics simulations and transient absorption spectroscopy measurements. The results show that the rotor moiety rotates axially relative to the stator and produces, within a few picoseconds at ambient T, an intermediate with the same helicity as the starting structure. We discuss how such properties, that include a 0.25 quantum efficiency, can help overcome the operational limitations of the classical overcrowded alkene designs.
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6
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Lee IS, Min SK. Generalized Formulation of the Density Functional Tight Binding-Based Restricted Ensemble Kohn-Sham Method with Onsite Correction to Long-Range Correction. J Chem Theory Comput 2022; 18:3391-3409. [PMID: 35549266 DOI: 10.1021/acs.jctc.2c00037] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We present a generalized formulation for the combination of the density functional tight binding (DFTB) approach and the state-interaction state-average spin-restricted ensemble-referenced Kohn-Sham (SI-SA-REKS or SSR) method by considering onsite correction (OC) as well as the long-range corrected (LC) functional. The OC contribution provides more accurate energies and analytic gradients for individual microstates, while the multireference character of the SSR provides the correct description for conical intersections. We benchmark the LC-OC-DFTB/SSR method against various DFTB calculation methods for excitation energies and conical intersection structures with π/π* or n/π* characters. Furthermore, we perform excited-state molecular dynamics simulations with a molecular rotary motor with variations of LC-OC-DFTB/SSR approaches. We show that the OC contribution to the LC functional is crucial to obtain the correct geometry of conical intersections.
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Affiliation(s)
- In Seong Lee
- Department of Chemistry, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulju-gun, Ulsan 44919, South Korea
| | - Seung Kyu Min
- Department of Chemistry, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulju-gun, Ulsan 44919, South Korea
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7
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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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8
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Matsika S. Electronic Structure Methods for the Description of Nonadiabatic Effects and Conical Intersections. Chem Rev 2021; 121:9407-9449. [PMID: 34156838 DOI: 10.1021/acs.chemrev.1c00074] [Citation(s) in RCA: 59] [Impact Index Per Article: 19.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023]
Abstract
Nonadiabatic effects are ubiquitous in photophysics and photochemistry, and therefore, many theoretical developments have been made to properly describe them. Conical intersections are central in nonadiabatic processes, as they promote efficient and ultrafast nonadiabatic transitions between electronic states. A proper theoretical description requires developments in electronic structure and specifically in methods that describe conical intersections between states and nonadiabatic coupling terms. This review focuses on the electronic structure aspects of nonadiabatic processes. We discuss the requirements of electronic structure methods to describe conical intersections and nonadiabatic couplings, how the most common excited state methods perform in describing these effects, and what the recent developments are in expanding the methodology and implementing nonadiabatic couplings.
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Affiliation(s)
- Spiridoula Matsika
- Department of Chemistry, Temple University, Philadelphia, Pennsylvania 19122, United States
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9
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Filatov M, Lee S, Choi CH. Description of Sudden Polarization in the Excited Electronic States with an Ensemble Density Functional Theory Method. J Chem Theory Comput 2021; 17:5123-5139. [PMID: 34319730 DOI: 10.1021/acs.jctc.1c00479] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Sudden polarization (SP) is one of the manifestations of electron transfer in the electronically excited states of molecules. Proposed initially to explain the unusual reactivity of photoexcited olefins, SP often occurs in the excited states of molecules possessing strongly correlated diradical ground state. Theoretical description of SP involves mixing between the singly excited and the doubly excited zwitterionic states, which makes it inaccessible with the use of the popular linear-response time-dependent density functional theory methods. In this work, an extended variant of the state-interaction state-averaged spin-restricted ensemble-referenced Kohn-Sham (SI-SA-REKS, or SSR) method is applied to study SP in a number of organic diradical systems. To this end, the analytical derivative formalism is derived and implemented for the SSR(3,2) method (see the main text for explanation of the acronym), which enables the automatic geometry optimization and obtains the relaxed density matrices as well as the electron binding energies and respective Dyson's orbitals. Application of the new method to SP in the lowest singlet excited state of ethylene agrees with the results obtained previously with the use of multireference methods of wavefunction theory. A number of interesting manifestations of SP are observed, such as the charge transfer in photoexcited tetramethyleneethene (TME) diradical mediated by the vibrational motion and conductivity switching in the excited state of a donor-acceptor dyad placed in an external electric field.
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Affiliation(s)
- Michael Filatov
- Department of Chemistry, Kyungpook National University, Daegu 702-701, 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 702-701, South Korea
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10
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Filatov M, Lee S, Nakata H, Choi CH. Signatures of Conical Intersection Dynamics in the Time-Resolved Photoelectron Spectrum of Furan: Theoretical Modeling with an Ensemble Density Functional Theory Method. Int J Mol Sci 2021; 22:4276. [PMID: 33924097 PMCID: PMC8074317 DOI: 10.3390/ijms22084276] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/30/2021] [Revised: 04/13/2021] [Accepted: 04/15/2021] [Indexed: 12/13/2022] Open
Abstract
The non-adiabatic dynamics of furan excited in the ππ* state (S2 in the Franck-Condon geometry) was studied using non-adiabatic molecular dynamics simulations in connection with an ensemble density functional method. The time-resolved photoelectron spectra were theoretically simulated in a wide range of electron binding energies that covered the valence as well as the core electrons. The dynamics of the decay (rise) of the photoelectron signal were compared with the excited-state population dynamics. It was observed that the photoelectron signal decay parameters at certain electron binding energies displayed a good correlation with the events occurring during the excited-state dynamics. Thus, the time profile of the photoelectron intensity of the K-shell electrons of oxygen (decay constant of 34 ± 3 fs) showed a reasonable correlation with the time of passage through conical intersections with the ground state (47 ± 2 fs). The ground-state recovery constant of the photoelectron signal (121 ± 30 fs) was in good agreement with the theoretically obtained excited-state lifetime (93 ± 9 fs), as well as with the experimentally estimated recovery time constant (ca. 110 fs). Hence, it is proposed to complement the traditional TRPES observations with the trXPS (or trNEXAFS) measurements to obtain more reliable estimates of the most mechanistically important events during the excited-state dynamics.
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Affiliation(s)
- Michael Filatov
- Department of Chemistry, Kyungpook National University, Daegu 702-701, Korea
| | - Seunghoon Lee
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, CA 91125, USA;
| | - Hiroya Nakata
- R & D Center Kagoshima, Kyocera, 1-4 Kokubu Yamashita-cho, Kirishima-shi, Kagoshima 899-4312, Japan;
| | - Cheol-Ho Choi
- Department of Chemistry, Kyungpook National University, Daegu 702-701, Korea
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11
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Liang R, Yu JK, Meisner J, Liu F, Martinez TJ. Electrostatic Control of Photoisomerization in Channelrhodopsin 2. J Am Chem Soc 2021; 143:5425-5437. [PMID: 33794085 DOI: 10.1021/jacs.1c00058] [Citation(s) in RCA: 14] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/02/2023]
Abstract
Channelrhodopsin 2 (ChR2) is the most commonly used tool in optogenetics. Because of its faster photocycle compared to wild-type (WT) ChR2, the E123T mutant of ChR2 is a useful optogenetic tool when fast neuronal stimulation is needed. Interestingly, in spite of its faster photocycle, the initial step of the photocycle in E123T (photoisomerization of retinal protonated Schiff base or RPSB) was found experimentally to be much slower than that of WT ChR2. The E123T mutant replaces the negatively charged E123 residue with a neutral T123 residue, perturbing the electric field around the RPSB. Understanding the RPSB photoisomerization mechanism in ChR2 mutants will provide molecular-level insights into how ChR2 photochemical reactivity can be controlled, which will lay the foundation for improving the design of optogenetic tools. In this work, we combine ab initio nonadiabatic dynamics simulation, excited state free energy calculation, and reaction path search to comprehensively characterize the RPSB photoisomerization mechanism in the E123T mutant of ChR2. Our simulation agrees with previous experiments in predicting a red-shifted absorption spectrum and significant slowdown of photoisomerization in the E123T mutant. Interestingly, our simulations predict similar photoisomerization quantum yields for the mutant and WT despite the differences in excited-state lifetime and absorption maximum. Upon mutation, the neutralization of the negative charge on the E123 residue increases the isomerization barrier, alters the reaction pathway, and changes the relative stability of two fluorescent states. Our findings provide new insight into the intricate role of the electrostatic environment on the RPSB photoisomerization mechanism in microbial rhodopsins.
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Affiliation(s)
- Ruibin Liang
- Department of Chemistry and The PULSE Institute, Stanford University, Stanford, California 94305, United States
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, United States
| | - Jimmy K Yu
- Department of Chemistry and The PULSE Institute, Stanford University, Stanford, California 94305, United States
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, United States
- Biophysics Program, Stanford University, Stanford, California 94305, United States
| | - Jan Meisner
- Department of Chemistry and The PULSE Institute, Stanford University, Stanford, California 94305, United States
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, United States
| | - Fang Liu
- Department of Chemistry and The PULSE Institute, Stanford University, Stanford, California 94305, United States
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, United States
| | - Todd J Martinez
- Department of Chemistry and The PULSE Institute, Stanford University, Stanford, California 94305, United States
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, United States
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12
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Liu F, Filatov M, Martínez TJ. Analytical derivatives of the individual state energies in ensemble density functional theory. II. Implementation on graphical processing units (GPUs). J Chem Phys 2021; 154:104108. [DOI: 10.1063/5.0041389] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/24/2023] Open
Affiliation(s)
- Fang Liu
- Department of Chemistry, Emory University, Atlanta, Georgia 30322, USA
| | - Michael Filatov
- Department of Chemistry, Kyungpook National University, Daegu 702-701, South Korea
| | - Todd J. Martínez
- Department of Chemistry and The PULSE Institute, Stanford University, Stanford, California 94305, USA
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
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13
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Ha JK, Kim K, Min SK. Machine Learning-Assisted Excited State Molecular Dynamics with the State-Interaction State-Averaged Spin-Restricted Ensemble-Referenced Kohn-Sham Approach. J Chem Theory Comput 2021; 17:694-702. [PMID: 33470100 DOI: 10.1021/acs.jctc.0c01261] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Abstract
We present a machine learning-assisted excited state molecular dynamics (ML-ESMD) based on the ensemble density functional theory framework. Since we represent a diabatic Hamiltonian in terms of generalized valence bond ansatz within the state-interaction state-averaged spin-restricted ensemble-referenced Kohn-Sham (SI-SA-REKS) method, we can avoid singularities near conical intersections, which are crucial in excited state molecular dynamics simulations. We train the diabatic Hamiltonian elements and their analytical gradients with the SchNet architecture to construct machine learning models, while the phase freedom of off-diagonal elements of the Hamiltonian is cured by introducing the phase-less loss function. Our machine learning models show reasonable accuracy with mean absolute errors of ∼0.1 kcal/mol and ∼0.5 kcal/mol/Å for the diabatic Hamiltonian elements and their gradients, respectively, for penta-2,4-dieniminium cation. Moreover, by exploiting the diabatic representation, our models can predict correct conical intersection structures and their topologies. In addition, our ML-ESMD simulations give almost identical result with a direct dynamics at the same level of theory.
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Affiliation(s)
- Jong-Kwon Ha
- Department of Chemistry, School of Natural Science, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulju-gun, Ulsan 44919, South Korea
| | - Kicheol Kim
- Department of Chemistry, School of Natural Science, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulju-gun, Ulsan 44919, South Korea
| | - Seung Kyu Min
- Department of Chemistry, School of Natural Science, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulju-gun, Ulsan 44919, South Korea
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14
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Filatov M, Lee S, Nakata H, Choi CH. Computation of Molecular Electron Affinities Using an Ensemble Density Functional Theory Method. J Phys Chem A 2020; 124:7795-7804. [PMID: 32900199 DOI: 10.1021/acs.jpca.0c06976] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023]
Abstract
The computation of electron attachment energies (electron affinities) was implemented in connection with an ensemble density functional theory method, the state-interaction state-averaged spin-restricted ensemble-referenced Kohn-Sham (SI-SA-REKS or SSR) method. With the use of the extended Koopmans' theorem, the electron affinities and the respective Dyson orbitals are obtained directly for the neutral molecule, thus avoiding the necessity to compute the ionized system. Together with the EKT-SSR (extended Koopmans' theorem-SSR) method for ionization potentials, which was developed earlier, EKT-SSR for electron affinities completes the implementation of the EKT-SSR formalism, which can now be used for obtaining electron detachment as well as the electron attachment energies of molecules in the ground and excited electronic states. The extended EKT-SSR method was tested in the calculation of several closed-shell molecules. For the molecules in the ground states, the EKT-SSR energies of Dyson's orbitals are virtually identical to the energies of the unoccupied orbitals in the usual single-reference spin-restricted Kohn-Sham calculations. For the molecules in the excited states, EKT-SSR predicts an increase of the most positive electron affinity by approximately the amount of the vertical excitation energy. The electron affinities of a number of diradicals were calculated with EKT-SSR and compared with the available experimental data. With the use of a standard density functional (BH&HLYP), the EKT-SSR electron affinities deviate on average by ca. 0.2 eV from the experimental data. It is expected that the agreement with the experiment can be improved by designing density functionals parametrized for ionization energies.
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Affiliation(s)
- Michael Filatov
- Department of Chemistry, Kyungpook National University, Daegu 702-701, South Korea
| | - Seunghoon Lee
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, United States
| | - Hiroya Nakata
- R&D Center Kagoshima, Kyocera, 1-4 Kokubu Yamashita-cho, Kirishima-shi, Kagoshima 899-4312, Japan
| | - Cheol Ho Choi
- Department of Chemistry, Kyungpook National University, Daegu 702-701, South Korea
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15
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Yeh SH, Manjanath A, Cheng YC, Chai JD, Hsu CP. Excitation energies from thermally assisted-occupation density functional theory: Theory and computational implementation. J Chem Phys 2020; 153:084120. [PMID: 32872866 DOI: 10.1063/1.5140243] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The time-dependent density functional theory (TDDFT) has been broadly used to investigate the excited-state properties of various molecular systems. However, the current TDDFT heavily relies on outcomes from the corresponding ground-state DFT calculations, which may be prone to errors due to the lack of proper treatment in the non-dynamical correlation effects. Recently, thermally assisted-occupation DFT (TAO-DFT) [J.-D. Chai, J. Chem. Phys. 136, 154104 (2012)], a DFT with fractional orbital occupations, was proposed, explicitly incorporating the non-dynamical correlation effects in the ground-state calculations with low computational complexity. In this work, we develop TDTAO-DFT, which is a TD, linear-response theory for excited states within the framework of TAO-DFT. With tests on the excited states of H2, the first triplet excited state (13Σu +) was described well, with non-imaginary excitation energies. TDTAO-DFT also yields zero singlet-triplet gap in the dissociation limit for the ground singlet (11Σg +) and the first triplet state (13Σu +). In addition, as compared to traditional TDDFT, the overall excited-state potential energy surfaces obtained from TDTAO-DFT are generally improved and better agree with results from the equation-of-motion coupled-cluster singles and doubles.
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Affiliation(s)
- Shu-Hao Yeh
- Institute of Chemistry, Academia Sinica, Taipei 11529, Taiwan
| | | | - Yuan-Chung Cheng
- Department of Chemistry, National Taiwan University, Taipei 10617, Taiwan
| | - Jeng-Da Chai
- Department of Physics, National Taiwan University, Taipei 10617, Taiwan
| | - Chao-Ping Hsu
- Institute of Chemistry, Academia Sinica, Taipei 11529, Taiwan
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16
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Filatov M, Lee S, Choi CH. Computation of Molecular Ionization Energies Using an Ensemble Density Functional Theory Method. J Chem Theory Comput 2020; 16:4489-4504. [PMID: 32421323 DOI: 10.1021/acs.jctc.0c00218] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/10/2023]
Abstract
Computation of the ionization energies and of the respective Dyson orbitals based on the use of the extended Koopmans theorem (EKT) is implemented in connection with an ensemble density functional theory (eDFT) method, the state-interaction state-averaged spin-restricted ensemble-referenced Kohn-Sham (SI-SA-REKS or SSR) method. The new methodology enables fast computation of the ionization energies and evaluation of the respective Dyson orbitals, the square norms of which are related with the ionization probabilities, in the ground and excited electronic states of molecules. As the application of EKT recycles the intermediate quantities from the SSR analytical energy gradient, evaluation of the ionization energies and probabilities can be carried out on-the-fly during the nonadiabatic molecular dynamics simulations. This opens up a perspective for fast theoretical simulation of the time-resolved photoelectron spectroscopy observations. In the present work, the new methodology is tested in the computation of the ionization energies and Dyson orbitals of several molecules in the ground and excited electronic states, including strongly correlated species, such as the ozone molecule, dissociating chemical bonds, and conical intersections.
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Affiliation(s)
- Michael Filatov
- Department of Chemistry, Kyungpook National University, Daegu 702-701, 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 702-701, South Korea
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17
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Winslow M, Cross WB, Robinson D. Comparison of Spin-Flip TDDFT-Based Conical Intersection Approaches with XMS-CASPT2. J Chem Theory Comput 2020; 16:3253-3263. [PMID: 32302484 PMCID: PMC8279405 DOI: 10.1021/acs.jctc.9b00917] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022]
Abstract
![]()
Determining conical intersection
geometries is of key importance
to understanding the photochemical reactivity of molecules. While
many small- to medium-sized molecules can be treated accurately using
multireference approaches, larger molecules require a less computationally
demanding approach. In this work, minimum energy crossing point conical
intersection geometries for a series of molecules have been studied
using spin-flip TDDFT (SF-TDDFT), within the Tamm-Dancoff Approximation,
both with and without explicit calculation of nonadiabatic coupling
terms, and compared with both XMS-CASPT2 and CASSCF calculated geometries.
The less computationally demanding algorithms, which do not require
explicit calculation of the nonadiabatic coupling terms, generally
fare well with the XMS-CASPT2 reference structures, while the relative
energetics are only reasonably replicated with the MECP structure
as
calculated with the BHHLYP functional and full nonadiabatic coupling
terms. We also demonstrate that, occasionally, CASSCF structures deviate
quantitatively from the XMS-CASPT2 structures, showing the importance
of including dynamical correlation.
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Affiliation(s)
- Max Winslow
- Department of Chemistry and Forensics, School of Science and Technology, Nottingham Trent University, Clifton Lane, Nottingham NG11 8NS, United Kingdom
| | - Warren B Cross
- Department of Chemistry and Forensics, School of Science and Technology, Nottingham Trent University, Clifton Lane, Nottingham NG11 8NS, United Kingdom
| | - David Robinson
- Department of Chemistry and Forensics, School of Science and Technology, Nottingham Trent University, Clifton Lane, Nottingham NG11 8NS, United Kingdom
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18
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Park JW, Al-Saadon R, MacLeod MK, Shiozaki T, Vlaisavljevich B. Multireference Electron Correlation Methods: Journeys along Potential Energy Surfaces. Chem Rev 2020; 120:5878-5909. [PMID: 32239929 DOI: 10.1021/acs.chemrev.9b00496] [Citation(s) in RCA: 54] [Impact Index Per Article: 13.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022]
Abstract
Multireference electron correlation methods describe static and dynamical electron correlation in a balanced way and, therefore, can yield accurate and predictive results even when single-reference methods or multiconfigurational self-consistent field theory fails. One of their most prominent applications in quantum chemistry is the exploration of potential energy surfaces. This includes the optimization of molecular geometries, such as equilibrium geometries and conical intersections and on-the-fly photodynamics simulations, both of which depend heavily on the ability of the method to properly explore the potential energy surface. Because such applications require nuclear gradients and derivative couplings, the availability of analytical nuclear gradients greatly enhances the scope of quantum chemical methods. This review focuses on the developments and advances made in the past two decades. A detailed account of the analytical nuclear gradient and derivative coupling theories is presented. Emphasis is given to the software infrastructure that allows one to make use of these methods. Notable applications of multireference electron correlation methods to chemistry, including geometry optimizations and on-the-fly dynamics, are summarized at the end followed by a discussion of future prospects.
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Affiliation(s)
- Jae Woo Park
- Department of Chemistry, Chungbuk National University, Chungdae-ro 1, Cheongju 28644, Korea
| | - Rachael Al-Saadon
- Department of Chemistry, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208, United States
| | - Matthew K MacLeod
- Workday, 4900 Pearl Circle East, Suite 100, Boulder, Colorado 80301, United States
| | - Toru Shiozaki
- Department of Chemistry, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208, United States.,Quantum Simulation Technologies, Inc., 625 Massachusetts Avenue, Cambridge, Massachusetts 02139, United States
| | - Bess Vlaisavljevich
- Department of Chemistry, University of South Dakota, 414 East Clark Street, Vermillion, South Dakota 57069, United States
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19
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Lee S, Shostak S, Filatov M, Choi CH. Conical Intersections in Organic Molecules: Benchmarking Mixed-Reference Spin-Flip Time-Dependent DFT (MRSF-TD-DFT) vs Spin-Flip TD-DFT. J Phys Chem A 2019; 123:6455-6462. [PMID: 31283235 DOI: 10.1021/acs.jpca.9b06142] [Citation(s) in RCA: 22] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The mixed-reference spin-flip time-dependent density functional theory (MRSF-TD-DFT) method eliminates the erroneous spin contamination of the SF-TD-DFT methodology, while retaining the conceptual and practical simplicity of the latter. The availability of the analytic gradient of the energy of the MRSF-TD-DFT response states enables automatic geometry optimization of the targeted states. Here, we apply the new method to optimize the geometry of several S1/S0 conical intersections occurring in typical organic molecules. We demonstrate that MRSF-TD-DFT is capable of producing the correct double-cone topology of the intersections and describing the geometry of the lowest-energy conical intersections and their relative energies with accuracy matching that of the best multireference wavefunction ab initio methods. In this regard, MRSF-TD-DFT differs from many popular single-reference methods, such as, e.g., the linear response TD-DFT method, which fail to produce the correct topology of the intersections. As the new methodology completely eliminates the ambiguity with the identification of the response states as proper singlets or triplets, which is plaguing the SF-TD-DFT calculations, it can be used for automatic geometry optimization and molecular dynamic simulations not requiring constant human intervention.
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Affiliation(s)
- Seunghoon Lee
- Department of Chemistry , Seoul National University , Seoul 151-747 , South Korea
| | - Svetlana Shostak
- Department of Chemistry , Kyungpook National University , Daegu 702-701 , South Korea
| | - Michael Filatov
- Department of Chemistry , Kyungpook National University , Daegu 702-701 , South Korea
| | - Cheol Ho Choi
- Department of Chemistry , Kyungpook National University , Daegu 702-701 , South Korea
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20
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Lee IS, Filatov M, Min SK. Formulation and Implementation of the Spin-Restricted Ensemble-Referenced Kohn–Sham Method in the Context of the Density Functional Tight Binding Approach. J Chem Theory Comput 2019; 15:3021-3032. [DOI: 10.1021/acs.jctc.9b00132] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- In Seong Lee
- Department of Chemistry, School of Natural Science, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulsan 44919, Republic of Korea
| | - Michael Filatov
- Department of Chemistry, Kyungpook National University, Daegu 702-701, Republic of Korea
| | - Seung Kyu Min
- Department of Chemistry, School of Natural Science, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulsan 44919, Republic of Korea
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21
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Tian T, Xu T, Kirk SR, Filatov M, Jenkins S. Next-generation quantum theory of atoms in molecules for the ground and excited state of DHCL. Chem Phys Lett 2019. [DOI: 10.1016/j.cplett.2019.01.016] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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22
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Filatov M, Min SK, Choi CH. Theoretical modelling of the dynamics of primary photoprocess of cyclopropanone. Phys Chem Chem Phys 2019; 21:2489-2498. [DOI: 10.1039/c8cp07104g] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Photodecomposition of cyclopropanone is investigated by static quantum chemical calculations and non-adiabatic molecular dynamics (NAMD) simulations.
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Affiliation(s)
- Michael Filatov
- Department of Chemistry
- Kyungpook National University
- Daegu 702-701
- South Korea
| | - Seung Kyu Min
- Department of Chemistry
- School of Natural Sciences
- Ulsan National Institute of Science and Technology (UNIST)
- Ulsan 44919
- South Korea
| | - Cheol Ho Choi
- Department of Chemistry
- Kyungpook National University
- Daegu 702-701
- South Korea
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23
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QTAIM and stress tensor bond-path framework sets for the ground and excited states of fulvene. Chem Phys Lett 2018. [DOI: 10.1016/j.cplett.2018.10.029] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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24
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Filatov M, Min SK, Kim KS. Non-adiabatic dynamics of ring opening in cyclohexa-1,3-diene described by an ensemble density-functional theory method. Mol Phys 2018. [DOI: 10.1080/00268976.2018.1519200] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/17/2023]
Affiliation(s)
- Michael Filatov
- Department of Chemistry, School of Natural Sciences, Ulsan National Institute of Science and Technology (UNIST), Ulsan, Korea
| | - Seung Kyu Min
- Department of Chemistry, School of Natural Sciences, Ulsan National Institute of Science and Technology (UNIST), Ulsan, Korea
| | - Kwang S. Kim
- Department of Chemistry, School of Natural Sciences, Ulsan National Institute of Science and Technology (UNIST), Ulsan, Korea
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25
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Filatov M, Min SK, Kim KS. Direct Nonadiabatic Dynamics by Mixed Quantum-Classical Formalism Connected with Ensemble Density Functional Theory Method: Application to trans-Penta-2,4-dieniminium Cation. J Chem Theory Comput 2018; 14:4499-4512. [DOI: 10.1021/acs.jctc.8b00217] [Citation(s) in RCA: 23] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
Affiliation(s)
- Michael Filatov
- Department of Chemistry, School of Natural Sciences, Ulsan National Institute of Science and Technology (UNIST), Ulsan 44919, Korea
| | - Seung Kyu Min
- Department of Chemistry, School of Natural Sciences, Ulsan National Institute of Science and Technology (UNIST), Ulsan 44919, Korea
| | - Kwang S. Kim
- Department of Chemistry, School of Natural Sciences, Ulsan National Institute of Science and Technology (UNIST), Ulsan 44919, Korea
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26
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Filatov M, Liu F, Martínez TJ. Analytical derivatives of the individual state energies in ensemble density functional theory method. I. General formalism. J Chem Phys 2018; 147:034113. [PMID: 28734302 DOI: 10.1063/1.4994542] [Citation(s) in RCA: 46] [Impact Index Per Article: 7.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
The state-averaged (SA) spin restricted ensemble referenced Kohn-Sham (REKS) method and its state interaction (SI) extension, SI-SA-REKS, enable one to describe correctly the shape of the ground and excited potential energy surfaces of molecules undergoing bond breaking/bond formation reactions including features such as conical intersections crucial for theoretical modeling of non-adiabatic reactions. Until recently, application of the SA-REKS and SI-SA-REKS methods to modeling the dynamics of such reactions was obstructed due to the lack of the analytical energy derivatives. In this work, the analytical derivatives of the individual SA-REKS and SI-SA-REKS energies are derived. The final analytic gradient expressions are formulated entirely in terms of traces of matrix products and are presented in the form convenient for implementation in the traditional quantum chemical codes employing basis set expansions of the molecular orbitals. The implementation and benchmarking of the derived formalism will be described in a subsequent article of this series.
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Affiliation(s)
- Michael Filatov
- Department of Chemistry, School of Natural Sciences, Ulsan National Institute of Science and Technology (UNIST), Ulsan 689-798, South Korea
| | - Fang Liu
- Department of Chemistry and the PULSE Institute, Stanford University, Stanford, California 94305, USA and SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - Todd J Martínez
- Department of Chemistry and the PULSE Institute, Stanford University, Stanford, California 94305, USA and SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
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27
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Filatov M, Martínez TJ, Kim KS. Description of ground and excited electronic states by ensemble density functional method with extended active space. J Chem Phys 2018; 147:064104. [PMID: 28810777 DOI: 10.1063/1.4996873] [Citation(s) in RCA: 24] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
An extended variant of the spin-restricted ensemble-referenced Kohn-Sham (REKS) method, the REKS(4,4) method, designed to describe the ground electronic states of strongly multireference systems is modified to enable calculation of excited states within the time-independent variational formalism. The new method, the state-interaction state-averaged REKS(4,4), i.e., SI-SA-REKS(4,4), is capable of describing several excited states of a molecule involving double bond cleavage, polyradical character, or multiple chromophoric units. We demonstrate that the new method correctly describes the ground and the lowest singlet excited states of a molecule (ethylene) undergoing double bond cleavage. The applicability of the new method for excitonic states is illustrated with π stacked ethylene and tetracene dimers. We conclude that the new method can describe a wide range of multireference phenomena.
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Affiliation(s)
- Michael Filatov
- Department of Chemistry, School of Natural Sciences, Ulsan National Institute of Science and Technology (UNIST), Ulsan 44919, South Korea
| | - Todd J Martínez
- Department of Chemistry and The PULSE Institute, Stanford University, Stanford, California 94305, USA and SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - Kwang S Kim
- Department of Chemistry, School of Natural Sciences, Ulsan National Institute of Science and Technology (UNIST), Ulsan 44919, South Korea
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28
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Brémond É, Savarese M, Pérez-Jiménez ÁJ, Sancho-García JC, Adamo C. Speed-Up of the Excited-State Benchmarking: Double-Hybrid Density Functionals as Test Cases. J Chem Theory Comput 2017; 13:5539-5551. [DOI: 10.1021/acs.jctc.7b00627] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Éric Brémond
- CompuNet, Istituto
Italiano di Tecnologia, via Morego
30, I-16163 Genoa, Italy
| | - Marika Savarese
- CompuNet, Istituto
Italiano di Tecnologia, via Morego
30, I-16163 Genoa, Italy
| | | | | | - Carlo Adamo
- Chimie
ParisTech, PSL Research University, CNRS, Institut de Recherche de Chimie Paris IRCP, F-75005 Paris, France
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29
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Isomerization of the RPSB chromophore in the gas phase along the torsional pathways using QTAIM. Chem Phys Lett 2017. [DOI: 10.1016/j.cplett.2017.07.066] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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30
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Wang L, Huan G, Momen R, Azizi A, Xu T, Kirk SR, Filatov M, Jenkins S. QTAIM and Stress Tensor Characterization of Intramolecular Interactions Along Dynamics Trajectories of a Light-Driven Rotary Molecular Motor. J Phys Chem A 2017; 121:4778-4792. [PMID: 28586210 DOI: 10.1021/acs.jpca.7b02347] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
A quantum theory of atoms in molecules (QTAIM) and stress tensor analysis was applied to analyze intramolecular interactions influencing the photoisomerization dynamics of a light-driven rotary molecular motor. For selected nonadiabatic molecular dynamics trajectories characterized by markedly different S1 state lifetimes, the electron densities were obtained using the ensemble density functional theory method. The analysis revealed that torsional motion of the molecular motor blades from the Franck-Condon point to the S1 energy minimum and the S1/S0 conical intersection is controlled by two factors: greater numbers of intramolecular bonds before the hop-time and unusually strongly coupled bonds between the atoms of the rotor and the stator blades. This results in the effective stalling of the progress along the torsional path for an extended period of time. This finding suggests a possibility of chemical tuning of the speed of photoisomerization of molecular motors and related molecular switches by reshaping their molecular backbones to decrease or increase the degree of coupling and numbers of intramolecular bond critical points as revealed by the QTAIM/stress tensor analysis of the electron density. Additionally, the stress tensor scalar and vector analysis was found to provide new methods to follow the trajectories, and from this, new insight was gained into the behavior of the S1 state in the vicinity of the conical intersection.
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Affiliation(s)
- Lingling Wang
- Key Laboratory of Chemical Biology and Traditional Chinese Medicine Research and Key Laboratory of Resource Fine-Processing and Advanced Materials of Hunan Province of MOE, College of Chemistry and Chemical Engineering, Hunan Normal University , Changsha, Hunan 410081, China
| | - Guo Huan
- Key Laboratory of Chemical Biology and Traditional Chinese Medicine Research and Key Laboratory of Resource Fine-Processing and Advanced Materials of Hunan Province of MOE, College of Chemistry and Chemical Engineering, Hunan Normal University , Changsha, Hunan 410081, China
| | - Roya Momen
- Key Laboratory of Chemical Biology and Traditional Chinese Medicine Research and Key Laboratory of Resource Fine-Processing and Advanced Materials of Hunan Province of MOE, College of Chemistry and Chemical Engineering, Hunan Normal University , Changsha, Hunan 410081, China
| | - Alireza Azizi
- Key Laboratory of Chemical Biology and Traditional Chinese Medicine Research and Key Laboratory of Resource Fine-Processing and Advanced Materials of Hunan Province of MOE, College of Chemistry and Chemical Engineering, Hunan Normal University , Changsha, Hunan 410081, China
| | - Tianlv Xu
- Key Laboratory of Chemical Biology and Traditional Chinese Medicine Research and Key Laboratory of Resource Fine-Processing and Advanced Materials of Hunan Province of MOE, College of Chemistry and Chemical Engineering, Hunan Normal University , Changsha, Hunan 410081, China
| | - Steven R Kirk
- Key Laboratory of Chemical Biology and Traditional Chinese Medicine Research and Key Laboratory of Resource Fine-Processing and Advanced Materials of Hunan Province of MOE, College of Chemistry and Chemical Engineering, Hunan Normal University , Changsha, Hunan 410081, China
| | - Michael Filatov
- Key Laboratory of Chemical Biology and Traditional Chinese Medicine Research and Key Laboratory of Resource Fine-Processing and Advanced Materials of Hunan Province of MOE, College of Chemistry and Chemical Engineering, Hunan Normal University , Changsha, Hunan 410081, China
| | - Samantha Jenkins
- Key Laboratory of Chemical Biology and Traditional Chinese Medicine Research and Key Laboratory of Resource Fine-Processing and Advanced Materials of Hunan Province of MOE, College of Chemistry and Chemical Engineering, Hunan Normal University , Changsha, Hunan 410081, China
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31
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Mignon P, Allouche AR, Bacchus-Montabonel MC. Theoretical study of HNCO formation from atomic nitrogen and carbon monoxide in the presence of water. Chem Phys 2017. [DOI: 10.1016/j.chemphys.2017.03.008] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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32
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Gao J, Grofe A, Ren H, Bao P. Beyond Kohn-Sham Approximation: Hybrid Multistate Wave Function and Density Functional Theory. J Phys Chem Lett 2016; 7:5143-5149. [PMID: 27973892 PMCID: PMC5793875 DOI: 10.1021/acs.jpclett.6b02455] [Citation(s) in RCA: 57] [Impact Index Per Article: 7.1] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/25/2023]
Abstract
A multistate density functional theory (MSDFT) is presented in which the energies and densities for the ground and excited states are treated on the same footing using multiconfigurational approaches. The method can be applied to systems with strong correlation and to correctly describe the dimensionality of the conical intersections between strongly coupled dissociative potential energy surfaces. A dynamic-then-static framework for treating electron correlation is developed to first incorporate dynamic correlation into contracted state functions through block-localized Kohn-Sham density functional theory (KSDFT), followed by diagonalization of the effective Hamiltonian to include static correlation. MSDFT can be regarded as a hybrid of wave function and density functional theory. The method is built on and makes use of the current approximate density functional developed in KSDFT, yet it retains its computational efficiency to treat strongly correlated systems that are problematic for KSDFT but too large for accurate WFT. The results presented in this work show that MSDFT can be applied to photochemical processes involving conical intersections.
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Affiliation(s)
- Jiali Gao
- Theoretical Chemistry Institute, Jilin University, Changchun 130023, P. R. China
- Department of Chemistry and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - Adam Grofe
- Theoretical Chemistry Institute, Jilin University, Changchun 130023, P. R. China
- Department of Chemistry and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - Haisheng Ren
- Department of Chemistry and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - Peng Bao
- Beijing National Laboratory for Molecular Sciences, State Key Laboratory for Structural Chemistry of Unstable and Stable Species Institute of Chemistry, Chinese Academy of Sciences, Beijing 100190, P. R. China
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33
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Hu MX, Xu T, Momen R, Huan G, Kirk SR, Jenkins S, Filatov M. A QTAIM and stress tensor investigation of the torsion path of a light-driven fluorene molecular rotary motor. J Comput Chem 2016; 37:2588-96. [PMID: 27671359 DOI: 10.1002/jcc.24487] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/17/2016] [Revised: 08/21/2016] [Accepted: 08/23/2016] [Indexed: 11/10/2022]
Abstract
The utility of the QTAIM/stress tensor analysis method for characterizing the photoisomerization of light driven molecular rotary machines is investigated on the example of the torsion path in fluorene molecular motor. The scalar and vector descriptors of QTAIM/stress tensor reveal additional information on the bonding interactions between the rotating units of the motor, which cannot be obtained from the analysis of the ground and excited state potential energy surfaces. The topological features of the fluorene motor molecular graph display that, upon the photoexcitation a certain increase in the torsional stiffness of the rotating bond can be attributed to the increasing topological stability of the rotor carbon atom attached to the rotation axle. The established variations in the torsional stiffness of the rotating bond may cause transfer of certain fraction of the torsional energy to other internal degrees of freedom, such as the pyramidalization distortion. © 2016 Wiley Periodicals, Inc.
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Affiliation(s)
- Ming Xing Hu
- Key Laboratory of Chemical Biology and Traditional Chinese Medicine Research, College of Chemistry and Chemical Engineering, Hunan Normal University, Changsha, Hunan, 410081, China.,Key Laboratory of Resource Fine-Processing and Advanced Materials of Hunan Province of MOE, College of Chemistry and Chemical Engineering, Hunan Normal University, Changsha, Hunan, 410081, China
| | - Tianlv Xu
- Key Laboratory of Chemical Biology and Traditional Chinese Medicine Research, College of Chemistry and Chemical Engineering, Hunan Normal University, Changsha, Hunan, 410081, China.,Key Laboratory of Resource Fine-Processing and Advanced Materials of Hunan Province of MOE, College of Chemistry and Chemical Engineering, Hunan Normal University, Changsha, Hunan, 410081, China
| | - Roya Momen
- Key Laboratory of Chemical Biology and Traditional Chinese Medicine Research, College of Chemistry and Chemical Engineering, Hunan Normal University, Changsha, Hunan, 410081, China.,Key Laboratory of Resource Fine-Processing and Advanced Materials of Hunan Province of MOE, College of Chemistry and Chemical Engineering, Hunan Normal University, Changsha, Hunan, 410081, China
| | - Guo Huan
- Key Laboratory of Chemical Biology and Traditional Chinese Medicine Research, College of Chemistry and Chemical Engineering, Hunan Normal University, Changsha, Hunan, 410081, China.,Key Laboratory of Resource Fine-Processing and Advanced Materials of Hunan Province of MOE, College of Chemistry and Chemical Engineering, Hunan Normal University, Changsha, Hunan, 410081, China
| | - Steven R Kirk
- Key Laboratory of Chemical Biology and Traditional Chinese Medicine Research, College of Chemistry and Chemical Engineering, Hunan Normal University, Changsha, Hunan, 410081, China.,Key Laboratory of Resource Fine-Processing and Advanced Materials of Hunan Province of MOE, College of Chemistry and Chemical Engineering, Hunan Normal University, Changsha, Hunan, 410081, China
| | - Samantha Jenkins
- Key Laboratory of Chemical Biology and Traditional Chinese Medicine Research, College of Chemistry and Chemical Engineering, Hunan Normal University, Changsha, Hunan, 410081, China.,Key Laboratory of Resource Fine-Processing and Advanced Materials of Hunan Province of MOE, College of Chemistry and Chemical Engineering, Hunan Normal University, Changsha, Hunan, 410081, China
| | - Michael Filatov
- Center for Superfunctional Materials, Department of Chemistry, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulsan, 44919, Korea
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34
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Amatatsu Y. Computational Design of a Fluorene-Based Ethylenoid Bridged by Trimethylene Chain. BULLETIN OF THE CHEMICAL SOCIETY OF JAPAN 2016. [DOI: 10.1246/bcsj.20160161] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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35
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Park YC, Senn F, Krykunov M, Ziegler T. Self-Consistent Constricted Variational Theory RSCF-CV(∞)-DFT and Its Restrictions To Obtain a Numerically Stable ΔSCF-DFT-like Method: Theory and Calculations for Triplet States. J Chem Theory Comput 2016; 12:5438-5452. [DOI: 10.1021/acs.jctc.6b00333] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Young Choon Park
- Department
of Chemistry, University of Calgary, 2500 University Drive Northwest, Calgary, Alberta T2N-1N4, Canada
| | - Florian Senn
- Department
of Chemistry, University of Calgary, 2500 University Drive Northwest, Calgary, Alberta T2N-1N4, Canada
| | - Mykhaylo Krykunov
- Department
of Chemistry and Biomolecular Sciences, University of Ottawa, 75 Laurier Avenue East, Ottawa, Ontario K1N-6N5, Canada
| | - Tom Ziegler
- Department
of Chemistry, University of Calgary, 2500 University Drive Northwest, Calgary, Alberta T2N-1N4, Canada
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36
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Paolino M, Gueye M, Pieri E, Manathunga M, Fusi S, Cappelli A, Latterini L, Pannacci D, Filatov M, Léonard J, Olivucci M. Design, Synthesis, and Dynamics of a Green Fluorescent Protein Fluorophore Mimic with an Ultrafast Switching Function. J Am Chem Soc 2016; 138:9807-25. [DOI: 10.1021/jacs.5b10812] [Citation(s) in RCA: 37] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/22/2023]
Affiliation(s)
- Marco Paolino
- Dipartimento di Biotecnologie, Chimica
e Farmacia, Università di Siena, Via A. Moro 2, 53100 Siena, Italy
| | - Moussa Gueye
- Institut de Physique et Chimie des Matériaux de Strasbourg & Labex NIE, Université de Strasbourg, CNRS UMR 7504, Strasbourg, France
| | - Elisa Pieri
- Dipartimento di Biotecnologie, Chimica
e Farmacia, Università di Siena, Via A. Moro 2, 53100 Siena, Italy
| | - Madushanka Manathunga
- Chemistry Department, Bowling Green State University, Bowling
Green, Ohio, United States
| | - Stefania Fusi
- Dipartimento di Biotecnologie, Chimica
e Farmacia, Università di Siena, Via A. Moro 2, 53100 Siena, Italy
| | - Andrea Cappelli
- Dipartimento di Biotecnologie, Chimica
e Farmacia, Università di Siena, Via A. Moro 2, 53100 Siena, Italy
| | - Loredana Latterini
- Dipartimento di Chimica, Biologia e Biotecnologie, Università di Perugia, Via Elce di Sotto, 8, 06123 Perugia, Italy
| | - Danilo Pannacci
- Dipartimento di Chimica, Biologia e Biotecnologie, Università di Perugia, Via Elce di Sotto, 8, 06123 Perugia, Italy
| | - Michael Filatov
- Department of Chemistry,
School of Natural Sciences, Ulsan National Institute of Science and Technology (UNIST), Ulsan 689-798, Korea
| | - Jérémie Léonard
- Institut de Physique et Chimie des Matériaux de Strasbourg & Labex NIE, Université de Strasbourg, CNRS UMR 7504, Strasbourg, France
| | - Massimo Olivucci
- Dipartimento di Biotecnologie, Chimica
e Farmacia, Università di Siena, Via A. Moro 2, 53100 Siena, Italy
- Chemistry Department, Bowling Green State University, Bowling
Green, Ohio, United States
- University of Strasbourg Institute for Advanced Studies, 5, allée du Général
Rouvillois F-67083 Strasbourg, France
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37
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Filatov M, Martínez TJ, Kim KS. Using the GVB Ansatz to develop ensemble DFT method for describing multiple strongly correlated electron pairs. Phys Chem Chem Phys 2016; 18:21040-50. [PMID: 26947515 DOI: 10.1039/c6cp00236f] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Ensemble density functional theory (DFT) furnishes a rigorous theoretical framework for describing the non-dynamic electron correlation arising from (near) degeneracy of several electronic configurations. Ensemble DFT naturally leads to fractional occupation numbers (FONs) for several Kohn-Sham (KS) orbitals, which thereby become variational parameters of the methodology. The currently available implementation of ensemble DFT in the form of the spin-restricted ensemble-referenced KS (REKS) method was originally designed for systems with only two fractionally occupied KS orbitals, which was sufficient to accurately describe dissociation of a single chemical bond or the singlet ground state of biradicaloid species. To extend applicability of the method to systems with several dissociating bonds or to polyradical species, more fractionally occupied orbitals must be included in the ensemble description. Here we investigate a possibility of developing the extended REKS methodology with the help of the generalized valence bond (GVB) wavefunction theory. The use of GVB enables one to derive a simple and physically transparent energy expression depending explicitly on the FONs of several KS orbitals. In this way, a version of the REKS method with four electrons in four fractionally occupied orbitals is derived and its accuracy in the calculation of various types of strongly correlated molecules is investigated. We propose a possible scheme to ameliorate the partial size-inconsistency that results from perfect spin-pairing. We conjecture that perfect pairing natural orbital (NO) functionals of reduced density matrix functional theory (RDMFT) should also display partial size-inconsistency.
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Affiliation(s)
- Michael Filatov
- Department of Chemistry, School of Natural Sciences, Ulsan National Institute of Science and Technology (UNIST), Ulsan 689-798, Korea.
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38
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Nikiforov A, Gamez JA, Thiel W, Filatov M. Computational Design of a Family of Light-Driven Rotary Molecular Motors with Improved Quantum Efficiency. J Phys Chem Lett 2016; 7:105-10. [PMID: 26670164 PMCID: PMC4707559 DOI: 10.1021/acs.jpclett.5b02575] [Citation(s) in RCA: 60] [Impact Index Per Article: 7.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/16/2023]
Abstract
Two new light-driven molecular rotary motors based on the N-alkylated indanylidene benzopyrrole frameworks are proposed and studied using quantum chemical calculations and nonadiabatic molecular dynamics simulations. These new motors perform pure axial rotation, and the photochemical steps of the rotary cycle are dominated by the fast bond-length-alternation motion that enables ultrafast access to the S1/S0 intersection. The new motors are predicted to display a quantum efficiency higher than that of the currently available synthetic all-hydrocarbon motors. Remarkably, the quantum efficiency is not governed by the topography (peaked versus sloped) of the minimum-energy conical intersection, whereas the S1 decay time depends on the topography as well as on the energy of the intersection relative to the S1 minimum. It is the axial chirality (helicity), rather than the point chirality, that controls the sense of rotation of the motor.
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Affiliation(s)
- Alexander Nikiforov
- Max-Planck-Institut
für Kohlenforschung, Kaiser-Wilhelm-Platz 1, D-45470 Mülheim an der Ruhr, Germany
| | - Jose A. Gamez
- Institute
of Technical and Macromolecular Chemistry, RWTH Aachen University, Worringerweg 1, 52074 Aachen, Germany
| | - Walter Thiel
- Max-Planck-Institut
für Kohlenforschung, Kaiser-Wilhelm-Platz 1, D-45470 Mülheim an der Ruhr, Germany
| | - Michael Filatov
- Department
of Chemistry, Southern Methodist University, 3215 Daniel Avenue, Dallas, Texas 75275-0314, United States
- Department of Chemistry, School
of Natural Sciences, Ulsan National Institute
of Science and Technology (UNIST), Ulsan 689-798, Korea
- E-mail:
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39
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Peccati F, Wiśniewska M, Solans-Monfort X, Sodupe M. Computational study on donor–acceptor optical markers for Alzheimer's disease: a game of charge transfer and electron delocalization. Phys Chem Chem Phys 2016; 18:11634-43. [DOI: 10.1039/c5cp07274c] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The length of the conjugated double bond chain in DANIR dyes modulates the charge transfer character, non-radiative deactivation pathways and affinity for amyloid-β fibril.
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Affiliation(s)
- Francesca Peccati
- Departament de Química
- Universitat Autònoma de Barcelona
- 08193 – Bellaterra
- Spain
| | - Marta Wiśniewska
- Centre of New Technologies
- University of Warsaw
- 02-097 Warsaw
- Poland
| | | | - Mariona Sodupe
- Departament de Química
- Universitat Autònoma de Barcelona
- 08193 – Bellaterra
- Spain
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40
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Tuna D, Lefrancois D, Wolański Ł, Gozem S, Schapiro I, Andruniów T, Dreuw A, Olivucci M. Assessment of Approximate Coupled-Cluster and Algebraic-Diagrammatic-Construction Methods for Ground- and Excited-State Reaction Paths and the Conical-Intersection Seam of a Retinal-Chromophore Model. J Chem Theory Comput 2015; 11:5758-81. [PMID: 26642989 DOI: 10.1021/acs.jctc.5b00022] [Citation(s) in RCA: 107] [Impact Index Per Article: 11.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022]
Abstract
As a minimal model of the chromophore of rhodopsin proteins, the penta-2,4-dieniminium cation (PSB3) poses a challenging test system for the assessment of electronic-structure methods for the exploration of ground- and excited-state potential-energy surfaces, the topography of conical intersections, and the dimensionality (topology) of the branching space. Herein, we report on the performance of the approximate linear-response coupled-cluster method of second order (CC2) and the algebraic-diagrammatic-construction scheme of the polarization propagator of second and third orders (ADC(2) and ADC(3)). For the ADC(2) method, we considered both the strict and extended variants (ADC(2)-s and ADC(2)-x). For both CC2 and ADC methods, we also tested the spin-component-scaled (SCS) and spin-opposite-scaled (SOS) variants. We have explored several ground- and excited-state reaction paths, a circular path centered around the S1/S0 surface crossing, and a 2D scan of the potential-energy surfaces along the branching space. We find that the CC2 and ADC methods yield a different dimensionality of the intersection space. While the ADC methods yield a linear intersection topology, we find a conical intersection topology for the CC2 method. We present computational evidence showing that the linear-response CC2 method yields a surface crossing between the reference state and the first response state featuring characteristics that are expected for a true conical intersection. Finally, we test the performance of these methods for the approximate geometry optimization of the S1/S0 minimum-energy conical intersection and compare the geometries with available data from multireference methods. The present study provides new insight into the performance of linear-response CC2 and polarization-propagator ADC methods for molecular electronic spectroscopy and applications in computational photochemistry.
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Affiliation(s)
- Deniz Tuna
- Max-Planck-Institut für Kohlenforschung , 45470 Mülheim an der Ruhr, Germany
| | - Daniel Lefrancois
- Interdisciplinary Center for Scientific Computing, University of Heidelberg , 69120 Heidelberg, Germany
| | - Łukasz Wolański
- Department of Chemistry, Wrocław University of Technology , 50370 Wrocław, Poland
| | - Samer Gozem
- Department of Chemistry, University of Southern California , Los Angeles, California 90089, United States
| | - Igor Schapiro
- Institut de Physique et Chimie des Matériaux de Strasbourg & Labex NIE, Université de Strasbourg, CNRS UMR 7504 , Strasbourg 67034, France
| | - Tadeusz Andruniów
- Department of Chemistry, Wrocław University of Technology , 50370 Wrocław, Poland
| | - Andreas Dreuw
- Interdisciplinary Center for Scientific Computing, University of Heidelberg , 69120 Heidelberg, Germany
| | - Massimo Olivucci
- Department of Chemistry, Bowling Green State University , Bowling Green, Ohio 43402, United States.,Dipartimento di Biotecnologie, Chimica e Farmacia, Universitá de Siena , 53100 Siena, Italy
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Spiegel JD, Kleinschmidt M, Larbig A, Tatchen J, Marian CM. Quantum-Chemical Studies on Excitation Energy Transfer Processes in BODIPY-Based Donor-Acceptor Systems. J Chem Theory Comput 2015; 11:4316-27. [PMID: 26575926 DOI: 10.1021/acs.jctc.5b00501] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
BODIPY-based excitation energy transfer (EET) cassettes are experimentally extensively studied and serve as excellent model systems for the investigation of photophysical processes, since they occur in any photosynthetic system and in organic photovoltaics. In the present work, the EET rates in five BODIPY-based EET cassettes in which anthracene serves as the donor have been determined, employing the monomer transition density approach (MTD) and the ideal dipole approximation (IDA). To this end, a new computer program has been devised that calculates the direct and exchange contributions to the excitonic coupling (EC) matrix element from transition density matrices generated by a combined density functional and multireference configuration interaction (DFT/MRCI) calculation for the monomers. EET rates have been calculated according to Fermi's Golden Rule from the EC and the spectral overlap, which was obtained from the calculated vibrationally resolved emission and absorption spectra of donor and acceptor, respectively. We find that the direct contribution to the EC matrix element is dominant in the studied EET cassettes. Furthermore, we show that the contribution of the molecular linker to the EET rate cannot be neglected. In our best fragment model, the molecular linker is attached to the donor moiety. For cassettes in which the transition dipole moments of donor and acceptor are oriented in parallel manner, our results confirm the experimental findings reported by Kim et al. [J. Phys. Chem. A 2006, 110, 20-27]. In cassettes with a perpendicular orientation of the donor and acceptor transition dipole moments, dynamic effects turn out to be important.
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Affiliation(s)
- J Dominik Spiegel
- Institute of Theoretical and Computational Chemistry, Heinrich Heine University Düsseldorf , Universitätsstr. 1, D-40225 Düsseldorf, Germany
| | - Martin Kleinschmidt
- Institute of Theoretical and Computational Chemistry, Heinrich Heine University Düsseldorf , Universitätsstr. 1, D-40225 Düsseldorf, Germany
| | - Alexander Larbig
- Institute of Theoretical and Computational Chemistry, Heinrich Heine University Düsseldorf , Universitätsstr. 1, D-40225 Düsseldorf, Germany
| | - Jörg Tatchen
- Departamento de Química, Universidad de los Andes , Car. 1 No. 18A-12, Bogotá, Colombia
| | - Christel M Marian
- Institute of Theoretical and Computational Chemistry, Heinrich Heine University Düsseldorf , Universitätsstr. 1, D-40225 Düsseldorf, Germany
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Nikiforov A, Gamez JA, Thiel W, Huix-Rotllant M, Filatov M. Assessment of approximate computational methods for conical intersections and branching plane vectors in organic molecules. J Chem Phys 2015; 141:124122. [PMID: 25273427 DOI: 10.1063/1.4896372] [Citation(s) in RCA: 59] [Impact Index Per Article: 6.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/03/2023] Open
Abstract
Quantum-chemical computational methods are benchmarked for their ability to describe conical intersections in a series of organic molecules and models of biological chromophores. Reference results for the geometries, relative energies, and branching planes of conical intersections are obtained using ab initio multireference configuration interaction with single and double excitations (MRCISD). They are compared with the results from more approximate methods, namely, the state-interaction state-averaged restricted ensemble-referenced Kohn-Sham method, spin-flip time-dependent density functional theory, and a semiempirical MRCISD approach using an orthogonalization-corrected model. It is demonstrated that these approximate methods reproduce the ab initio reference data very well, with root-mean-square deviations in the optimized geometries of the order of 0.1 Å or less and with reasonable agreement in the computed relative energies. A detailed analysis of the branching plane vectors shows that all currently applied methods yield similar nuclear displacements for escaping the strong non-adiabatic coupling region near the conical intersections. Our comparisons support the use of the tested quantum-chemical methods for modeling the photochemistry of large organic and biological systems.
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Affiliation(s)
- Alexander Nikiforov
- Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1, D-45470 Mülheim an der Ruhr, Germany
| | - Jose A Gamez
- Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1, D-45470 Mülheim an der Ruhr, Germany
| | - Walter Thiel
- Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1, D-45470 Mülheim an der Ruhr, Germany
| | - Miquel Huix-Rotllant
- Institute of Physical and Theoretical Chemistry, Goethe University Frankfurt, Max-von-Laue-Str. 7, D-60438 Frankfurt am Main, Germany
| | - Michael Filatov
- Mulliken Center for Theoretical Chemistry, Institut für Physikalische und Theoretische Chemie, Universität Bonn, Beringstr. 4, D-53115 Bonn, Germany
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43
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Amatatsu Y. Theoretical study on the torsional direction of simple ethylenoids after electronic relaxation at the conical intersection in the cis–trans photoisomerization. Chem Phys Lett 2015. [DOI: 10.1016/j.cplett.2015.04.060] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Filatov M, Huix-Rotllant M, Burghardt I. Ensemble density functional theory method correctly describes bond dissociation, excited state electron transfer, and double excitations. J Chem Phys 2015; 142:184104. [DOI: 10.1063/1.4919773] [Citation(s) in RCA: 33] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Michael Filatov
- Department of Chemistry, Southern Methodist University, 3215 Daniel Avenue, Dallas, Texas 75275-0314, USA
| | - Miquel Huix-Rotllant
- Institute of Physical and Theoretical Chemistry, Goethe University Frankfurt, Max-von-Laue-Str. 7, D-60438 Frankfurt am Main, Germany
| | - Irene Burghardt
- Institute of Physical and Theoretical Chemistry, Goethe University Frankfurt, Max-von-Laue-Str. 7, D-60438 Frankfurt am Main, Germany
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Huix-Rotllant M, Nikiforov A, Thiel W, Filatov M. Description of Conical Intersections with Density Functional Methods. Top Curr Chem (Cham) 2015; 368:445-76. [PMID: 25896441 DOI: 10.1007/128_2015_631] [Citation(s) in RCA: 33] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
Abstract
Conical intersections are perhaps the most significant mechanistic features of chemical reactions occurring through excited states. By providing funnels for efficient non-adiabatic population transfer, conical intersections govern the branching ratio of products of such reactions, similar to what the transition states do for ground-state reactivity. In this regard, intersections between the ground and the lowest excited states play a special role, and the correct description of the potential energy surfaces in their vicinity is crucial for understanding the mechanism and dynamics of excited-state reactions. The methods of density functional theory, such as time-dependent density functional theory, are widely used to describe the excited states of large molecules. However, are these methods suitable for describing the conical intersections or do they lead to artifacts and, consequently, to erroneous description of reaction dynamics? Here we address the first part of this question and analyze the ability of several density functional approaches, including the linear-response time-dependent approach as well as the spin-flip and ensemble formalisms, to provide the correct description of conical intersections and the potential energy surfaces in their vicinity. It is demonstrated that the commonly used linear-response time-dependent theory does not yield a proper description of these features and that one should instead use alternative computational approaches.
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Affiliation(s)
- Miquel Huix-Rotllant
- Institute of Physical and Theoretical Chemistry, Goethe University Frankfurt, Max-von-Laue-Str. 7, 60438, Frankfurt am Main, Germany
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Filatov M. Ensemble DFT Approach to Excited States of Strongly Correlated Molecular Systems. Top Curr Chem (Cham) 2015; 368:97-124. [PMID: 25906417 DOI: 10.1007/128_2015_630] [Citation(s) in RCA: 33] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
Abstract
Ensemble density functional theory (DFT) is a novel time-independent formalism for obtaining excitation energies of many-body fermionic systems. A considerable advantage of ensemble DFT over the more common Kohn-Sham (KS) DFT and time-dependent DFT formalisms is that it enables one to account for strong non-dynamic electron correlation in the ground and excited states of molecular systems in a transparent and accurate fashion. Despite its positive aspects, ensemble DFT has not so far found its way into the repertoire of methods of modern computational chemistry, probably because of the perceived lack of practically affordable implementations of the theory. The spin-restricted ensemble-referenced KS (REKS) method is perhaps the first computationally feasible implementation of the ideas behind ensemble DFT which enables one to describe accurately electronic transitions in a wide class of molecular systems, including strongly correlated molecules (biradicals, molecules undergoing bond breaking/formation), extended π-conjugated systems, donor-acceptor charge transfer adducts, etc.
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Affiliation(s)
- Michael Filatov
- Institut für Physikalische und Theoretische Chemie, Universität Bonn, Beringstr. 4, 53115, Bonn, Germany,
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47
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Filatov M. Spin-restricted ensemble-referenced Kohn-Sham method: basic principles and application to strongly correlated ground and excited states of molecules. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2014. [DOI: 10.1002/wcms.1209] [Citation(s) in RCA: 92] [Impact Index Per Article: 9.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
Affiliation(s)
- Michael Filatov
- Institut für Physikalische und Theoretische Chemie; Universität Bonn; Bonn Germany
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48
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Seidu I, Krykunov M, Ziegler T. Applications of Time-Dependent and Time-Independent Density Functional Theory to Rydberg Transitions. J Phys Chem A 2014; 119:5107-16. [DOI: 10.1021/jp5082802] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Issaka Seidu
- Department
of Chemistry, University of Calgary, University Drive 2500, Calgary AB T2N-1N4, Canada
| | - Mykhaylo Krykunov
- Department
of Chemistry, University of Calgary, University Drive 2500, Calgary AB T2N-1N4, Canada
| | - Tom Ziegler
- Department
of Chemistry, University of Calgary, University Drive 2500, Calgary AB T2N-1N4, Canada
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Filatov M. Description of electron transfer in the ground and excited states of organic donor–acceptor systems by single-reference and multi-reference density functional methods. J Chem Phys 2014; 141:124123. [DOI: 10.1063/1.4896455] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Michael Filatov
- Mulliken Center for Theoretical Chemistry, Institut für Physikalische und Theoretische Chemie, Universität Bonn, Beringstr. 4, D-53115 Bonn, Germany
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50
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Blancafort L. Photochemistry and photophysics at extended seams of conical intersection. Chemphyschem 2014; 15:3166-81. [PMID: 25157686 DOI: 10.1002/cphc.201402359] [Citation(s) in RCA: 65] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/22/2014] [Indexed: 11/07/2022]
Abstract
The role of extended seams of conical intersection in excited-state mechanisms is reviewed. Seams are crossings of the potential energy surface in many dimensions where the decay from the excited to the ground state can occur, and the extended seam is composed of different segments lying along a reaction coordinate. Every segment is associated with a different primary photoproduct, which gives rise to competing pathways. This idea is first illustrated for fulvene and ethylene, and then it is used to explain more complex cases such as the dependence of the isomerisation of retinal chromophore isomers on the protein environment, the dependence of the efficiency of the azobenzene photochemical switch on the wavelength of irradiation and the direction of the isomerisation, and the coexistence of different mechanisms in the photo-induced Wolff rearrangement of diazonaphthoquinone. The role of extended seams in the photophysics of the DNA nucleobases and the relationship between two-state seams and three-state crossings is also discussed. As an outlook, the design of optical control strategies based on the passage of the excited molecule through the seam is considered, and it is shown how the excited-state lifetime of fulvene can be modulated by shaping the energy of the seam.
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Affiliation(s)
- Lluís Blancafort
- Institut de Química Computacional i Catàlisi and Departament de Química, Universitat de Girona, Campus de Montilivi, 17071 Girona (Spain).
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