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Herbert JM. Visualizing and characterizing excited states from time-dependent density functional theory. Phys Chem Chem Phys 2024; 26:3755-3794. [PMID: 38226636 DOI: 10.1039/d3cp04226j] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/17/2024]
Abstract
Time-dependent density functional theory (TD-DFT) is the most widely-used electronic structure method for excited states, due to a favorable combination of low cost and semi-quantitative accuracy in many contexts, even if there are well recognized limitations. This Perspective describes various ways in which excited states from TD-DFT calculations can be visualized and analyzed, both qualitatively and quantitatively. This includes not just orbitals and densities but also well-defined statistical measures of electron-hole separation and of Frenkel-type exciton delocalization. Emphasis is placed on mathematical connections between methods that have often been discussed separately. Particular attention is paid to charge-transfer diagnostics, which provide indicators of when TD-DFT may not be trustworthy due to its categorical failure to describe long-range electron transfer. Measures of exciton size and charge separation that are directly connected to the underlying transition density are recommended over more ad hoc metrics for quantifying charge-transfer character.
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Affiliation(s)
- John M Herbert
- Department of Chemistry & Biochemistry, The Ohio State University, Columbus, Ohio 43210, USA.
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2
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Dereka B, Rosspeintner A, Svechkarev D, Vauthey E. Comment on "Theoretical Insights into the Excited State Decays of a Donor-Acceptor Dyad: Is the Twisted and Rehybridized Intramolecular Charge-Transfer State Involved?". J Phys Chem B 2020; 124:10578-10581. [PMID: 33169608 DOI: 10.1021/acs.jpcb.0c06526] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Bogdan Dereka
- Department of Chemistry, Institute for Biophysical Dynamics, and James Franck Institute, The University of Chicago, Chicago, Illinois 60637, United States
| | - Arnulf Rosspeintner
- Department of Physical Chemistry, University of Geneva, CH-1211 Geneva, Switzerland
| | - Denis Svechkarev
- Department of Pharmaceutical Sciences, University of Nebraska Medical Center, Omaha, Nebraska 68198, United States
| | - Eric Vauthey
- Department of Physical Chemistry, University of Geneva, CH-1211 Geneva, Switzerland
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3
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Yadigarli A, Song Q, Druzhinin SI, Schönherr H. Probing of local polarity in poly(methyl methacrylate) with the charge transfer transition in Nile red. Beilstein J Org Chem 2019; 15:2552-2562. [PMID: 31728169 PMCID: PMC6839560 DOI: 10.3762/bjoc.15.248] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/12/2019] [Accepted: 09/25/2019] [Indexed: 01/05/2023] Open
Abstract
The permittivity of polymers and its spatial distribution play a crucial role in the behavior of thin films, such as those used, e.g., as sensor coatings. In an attempt to develop a conclusive approach to determine these quantities, the polarity of the model polymer poly(methyl methacrylate) (PMMA) in 600 nm thin films on a glass support was probed by the energy of the charge transfer transition in the oxazine dye Nile red (NR) at 25 °C. The absorption and fluorescence spectra of NR were observed to shift to the red with increasing solvent polarity, because of the intramolecular charge transfer character of the optical transition. New types of solvatochromic plots of emission frequency against absorption frequency and vice versa afforded the Onsager radius-free estimation of the ground and excited states dipole moment ratio. With this approach the values of these dipole moments of 11.97 D and 18.30–19.16 D, respectively, were obtained for NR. An effective local dielectric constant of 5.9–8.3 for PMMA thin films was calculated from the solvatochromic plot and the fluorescence maximum of NR observed in the PMMA films. The fluorescence band of NR in the rigid PMMA films shifted to the red by 130 cm−1 with increasing excitation wavelength from 470 to 540 nm, while in a series of liquids the position of the emission maximum of NR remained constant within same range of the excitation wavelength. It is concluded that the fluorescence spectrum of NR in PMMA undergoes inhomogeneous broadening due to different surroundings of NR molecules in the ground state and slow sub-glass transition (Tg) relaxations in PMMA.
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Affiliation(s)
- Aydan Yadigarli
- Physical Chemistry I and Research Center of Micro and Nanochemistry and Engineering (Cμ), Department of Chemistry and Biology, University of Siegen, Adolf-Reichwein-Str. 2, 57076, Siegen, Germany
| | - Qimeng Song
- Physical Chemistry I and Research Center of Micro and Nanochemistry and Engineering (Cμ), Department of Chemistry and Biology, University of Siegen, Adolf-Reichwein-Str. 2, 57076, Siegen, Germany
| | - Sergey I Druzhinin
- Physical Chemistry I and Research Center of Micro and Nanochemistry and Engineering (Cμ), Department of Chemistry and Biology, University of Siegen, Adolf-Reichwein-Str. 2, 57076, Siegen, Germany
| | - Holger Schönherr
- Physical Chemistry I and Research Center of Micro and Nanochemistry and Engineering (Cμ), Department of Chemistry and Biology, University of Siegen, Adolf-Reichwein-Str. 2, 57076, Siegen, Germany
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Belyaev A, Cheng Y, Liu Z, Karttunen AJ, Chou P, Koshevoy IO. A Facile Molecular Machine: Optically Triggered Counterion Migration by Charge Transfer of Linear Donor‐π‐Acceptor Phosphonium Fluorophores. Angew Chem Int Ed Engl 2019; 58:13456-13465. [DOI: 10.1002/anie.201906929] [Citation(s) in RCA: 24] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/04/2019] [Indexed: 01/21/2023]
Affiliation(s)
- Andrey Belyaev
- Department of ChemistryUniversity of Eastern Finland Yliopistokatu 7 80101 Joensuu Finland
| | - Yu‐Hsuan Cheng
- Department of ChemistryNational (Taiwan) University Taipei 106 Taiwan
| | - Zong‐Ying Liu
- Department of ChemistryNational (Taiwan) University Taipei 106 Taiwan
| | - Antti J. Karttunen
- Department of Chemistry and Materials ScienceAalto-University 00076 Aalto Finland
| | - Pi‐Tai Chou
- Department of ChemistryNational (Taiwan) University Taipei 106 Taiwan
| | - Igor O. Koshevoy
- Department of ChemistryUniversity of Eastern Finland Yliopistokatu 7 80101 Joensuu Finland
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Belyaev A, Cheng Y, Liu Z, Karttunen AJ, Chou P, Koshevoy IO. A Facile Molecular Machine: Optically Triggered Counterion Migration by Charge Transfer of Linear Donor‐π‐Acceptor Phosphonium Fluorophores. Angew Chem Int Ed Engl 2019. [DOI: 10.1002/ange.201906929] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023]
Affiliation(s)
- Andrey Belyaev
- Department of ChemistryUniversity of Eastern Finland Yliopistokatu 7 80101 Joensuu Finland
| | - Yu‐Hsuan Cheng
- Department of ChemistryNational (Taiwan) University Taipei 106 Taiwan
| | - Zong‐Ying Liu
- Department of ChemistryNational (Taiwan) University Taipei 106 Taiwan
| | - Antti J. Karttunen
- Department of Chemistry and Materials ScienceAalto-University 00076 Aalto Finland
| | - Pi‐Tai Chou
- Department of ChemistryNational (Taiwan) University Taipei 106 Taiwan
| | - Igor O. Koshevoy
- Department of ChemistryUniversity of Eastern Finland Yliopistokatu 7 80101 Joensuu Finland
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Dereka B, Svechkarev D, Rosspeintner A, Tromayer M, Liska R, Mohs AM, Vauthey E. Direct Observation of a Photochemical Alkyne–Allene Reaction and of a Twisted and Rehybridized Intramolecular Charge-Transfer State in a Donor–Acceptor Dyad. J Am Chem Soc 2017; 139:16885-16893. [DOI: 10.1021/jacs.7b09591] [Citation(s) in RCA: 30] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023]
Affiliation(s)
- Bogdan Dereka
- Department of Physical
Chemistry, University of Geneva, 30 Quai Ernest-Ansermet, CH-1211 Geneva, Switzerland
| | | | - Arnulf Rosspeintner
- Department of Physical
Chemistry, University of Geneva, 30 Quai Ernest-Ansermet, CH-1211 Geneva, Switzerland
| | - Maximilian Tromayer
- Institute of Applied Synthetic Chemistry, Vienna University of Technology, Getreidemarkt 9/163/MC, 1060 Vienna, Austria
| | - Robert Liska
- Institute of Applied Synthetic Chemistry, Vienna University of Technology, Getreidemarkt 9/163/MC, 1060 Vienna, Austria
| | | | - Eric Vauthey
- Department of Physical
Chemistry, University of Geneva, 30 Quai Ernest-Ansermet, CH-1211 Geneva, Switzerland
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Matwijczuk A, Górecki A, Makowski M, Pustuła K, Skrzypek A, Waś J, Niewiadomy A, Gagoś M. Spectroscopic and Theoretical Studies of Fluorescence Effects in 2-Methylamino-5-(2,4-dihydroxyphenyl)-1,3,4-thiadiazole Induced by Molecular Aggregation. J Fluoresc 2017; 28:65-77. [PMID: 28889356 PMCID: PMC5799588 DOI: 10.1007/s10895-017-2175-2] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/02/2017] [Accepted: 08/30/2017] [Indexed: 01/12/2023]
Abstract
The article presents the results of fluorescence analyses of 2-methylamino-5-(2,4-dihydroxyphenyl)-1,3,4-thiadiazole (MDFT) in an aqueous environment. MDFT dissolved in aqueous solutions with a pH value in the range from 1 to 4.5 yielded an interesting effect of two clearly separated fluorescence emissions. In turn, a single fluorescence was observed in MDFT dissolved in water solutions with a pH value from 4.5 to 12. As it was suggested in the previous investigations of other 1,3,4-thiadiazole compounds, these effects may be associated with conformational changes in the structure of the analysed molecule accompanied by aggregation effects. Crystallographic data showed that the effect of the two separated fluorescence emissions occurred in a conformation with the –OH group in the resorcyl ring bound on the side of the sulphur atom from the 1,3,4-thiadiazole ring. The hypothesis of aggregation as the mechanism involved in the change in the spectral properties at low pH is supported by the results of (Time-Dependent) Density Functional Theory calculations. The possibility of rapid analysis of conformational changes with the fluorescence spectroscopy technique may be rather important outcome obtained from the spectroscopic studies presented in this article. Additionally, the presented results seem to be highly important as they can be easily observed in solutions and biologically important samples.
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Affiliation(s)
- Arkadiusz Matwijczuk
- Department of Biophysics, University of Life Sciences in Lublin, Akademicka 13, 20-950, Lublin, Poland.
| | - Andrzej Górecki
- Department of Physical Biochemistry, Faculty of Biochemistry, Biophysics and Biotechnology, Jagiellonian University, Gronostajowa 7, 30-387, Krakow, Poland
| | - Marcin Makowski
- Department of Theoretical Chemistry, Faculty of Chemistry, Jagiellonian University, Ingardena 3, 30-060, Kraków, Poland
| | - Katarzyna Pustuła
- Department of Theoretical Chemistry, Faculty of Chemistry, Jagiellonian University, Ingardena 3, 30-060, Kraków, Poland
| | - Alicja Skrzypek
- Department of Chemistry, University of Life Sciences in Lublin, Akademicka 15, 20-950, Lublin, Poland
| | - Joanna Waś
- Departament of Chemistry, Jagiellonian University, Ingardena 3, 30-060, Kraków, Poland
| | - Andrzej Niewiadomy
- Department of Chemistry, University of Life Sciences in Lublin, Akademicka 15, 20-950, Lublin, Poland.,Institute of Industrial Organic Chemistry, Annopol 6, 03-236, Warsaw, Poland
| | - Mariusz Gagoś
- Department of Cell Biology, Institute of Biology, Maria Curie-Skłodowska University, Akademicka 19, 20-033, Lublin, Poland.
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Bohnwagner MV, Dreuw A. Regular Fluorescence of 4-Fluoro-N,N-dimethylaniline: No Charge Transfer and No Twisting. J Phys Chem A 2017; 121:5834-5841. [DOI: 10.1021/acs.jpca.7b05939] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Mercedes Vanessa Bohnwagner
- Interdisciplinary Center
for Scientific Computing, University of Heidelberg, Im Neuenheimer Feld 205, 69120 Heidelberg, Germany
| | - Andreas Dreuw
- Interdisciplinary Center
for Scientific Computing, University of Heidelberg, Im Neuenheimer Feld 205, 69120 Heidelberg, Germany
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