1
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Scognamiglio A, Thalmann KS, Hartweg S, Rendler N, Bruder L, Coto PB, Thoss M, Stienkemeier F. Non-adiabatic electronic relaxation of tetracene from its brightest singlet excited state. J Chem Phys 2024; 161:024302. [PMID: 38973758 DOI: 10.1063/5.0214006] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/15/2024] [Accepted: 06/16/2024] [Indexed: 07/09/2024] Open
Abstract
The ultrafast relaxation dynamics of tetracene following UV excitation to the bright singlet state S6 has been studied with time-resolved photoelectron spectroscopy. With the help of high-level ab initio multireference perturbation theory calculations, we assign photoelectron signals to intermediate dark electronic states S3, S4, and S5 as well as to a low-lying electronic state S2. The energetic structure of these dark states has not been determined experimentally previously. The time-dependent photoelectron yields assigned to the states S6, S5, and S4 have been analyzed and reveal the depopulation of S6 within 60 fs, while S5 and S4 are populated with delays of about 50 and 80 fs. The dynamics of the lower-lying states S3 and S2 seem to agree with a delayed population coinciding with the depopulation of the higher-lying states S4-S6 but could not be elucidated in full detail due to the low signal levels of the corresponding two-photon ionization probe processes.
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Affiliation(s)
- A Scognamiglio
- University of Freiburg, Institute of Physics, Hermann-Herder-Str. 3, Freiburg, Germany
| | - K S Thalmann
- University of Freiburg, Institute of Physics, Hermann-Herder-Str. 3, Freiburg, Germany
| | - S Hartweg
- University of Freiburg, Institute of Physics, Hermann-Herder-Str. 3, Freiburg, Germany
| | - N Rendler
- University of Freiburg, Institute of Physics, Hermann-Herder-Str. 3, Freiburg, Germany
| | - L Bruder
- University of Freiburg, Institute of Physics, Hermann-Herder-Str. 3, Freiburg, Germany
| | - P B Coto
- Materials Physics Center (CFM), CSIC and Donostia International Physics Center (DIPC), Paseo Manuel de Lardizabal 5, 20018 Donostia-San Sebastián, Spain
| | - M Thoss
- University of Freiburg, Institute of Physics, Hermann-Herder-Str. 3, Freiburg, Germany
| | - F Stienkemeier
- University of Freiburg, Institute of Physics, Hermann-Herder-Str. 3, Freiburg, Germany
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2
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Reddy SR, Coto PB, Thoss M. Intramolecular singlet fission: Quantum dynamical simulations including the effect of the laser field. J Chem Phys 2024; 160:194306. [PMID: 38767260 DOI: 10.1063/5.0209546] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/21/2024] [Accepted: 04/30/2024] [Indexed: 05/22/2024] Open
Abstract
In the previous work [Reddy et al., J. Chem. Phys. 151, 044307 (2019)], we have analyzed the dynamics of the intramolecular singlet fission process in a series of prototypical pentacene-based dimers, where the pentacene monomers are covalently bonded to a phenylene linker in ortho, meta, and para positions. The results obtained were qualitatively consistent with the experimental data available, showing an ultrafast population of the multiexcitonic state that mainly takes place via a mediated (superexchange-like) mechanism involving charge transfer and doubly excited states. Our results also highlighted the instrumental role of molecular vibrations in the process as a sizable population of the multiexcitonic state could only be obtained through vibronic coupling. Here, we extend these studies and investigate the effect of the laser field on the dynamics of intramolecular singlet fission by explicitly including the coupling to the laser field in our model. In this manner, and by selectively tuning the laser field to the different low-lying absorption bands of the systems investigated, we analyze the wavelength dependence of the intramolecular singlet fission process. In addition, we have also analyzed how the nature of the initially photoexcited electronic state (either localized or delocalized) affects its dynamics. Altogether, our results provide new insights into the design of intramolecular singlet fission-active molecules.
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Affiliation(s)
- S Rajagopala Reddy
- Department of Chemistry, School of Chemical Sciences and Pharmacy, Central University of Rajasthan, NH-8, Bandarsindri, Ajmer, Rajasthan 305817, India
| | - Pedro B Coto
- Materials Physics Center (CFM), Spanish National Research Council (CSIC) and Donostia International Physics Center (DIPC), Paseo Manuel de Lardizabal 5, 20018 Donostia-San Sebastián, Spain
| | - Michael Thoss
- Institute of Physics, Albert-Ludwigs University Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany
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3
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Li S, Misiewicz JP, Evangelista FA. Intruder-free cumulant-truncated driven similarity renormalization group second-order multireference perturbation theory. J Chem Phys 2023; 159:114106. [PMID: 37712785 DOI: 10.1063/5.0159403] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/23/2023] [Accepted: 08/14/2023] [Indexed: 09/16/2023] Open
Abstract
Accurate multireference electronic structure calculations are important for constructing potential energy surfaces. Still, even in the case of low-scaling methods, their routine use is limited by the steep growth of the computational and storage costs as the active space grows. This is primarily due to the occurrence of three- and higher-body density matrices or, equivalently, their cumulants. This work examines the effect of various cumulant truncation schemes on the accuracy of the driven similarity renormalization group second-order multireference perturbation theory. We test four different levels of three-body reduced density cumulant truncations that set different classes of cumulant elements to zero. Our test cases include the singlet-triplet gap of CH2, the potential energy curves of the XΣg+1 and AΣu+3 states of N2, and the singlet-triplet splittings of oligoacenes. Our results show that both relative and absolute errors introduced by these cumulant truncations can be as small as 0.5 kcal mol-1 or less. At the same time, the amount of memory required is reduced from O(NA6) to O(NA5), where NA is the number of active orbitals. No additional regularization is needed to prevent the intruder state problem in the cumulant-truncated second-order driven similarity renormalization group multireference perturbation theory methods.
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Affiliation(s)
- Shuhang Li
- Department of Chemistry and Cherry Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, USA
| | - Jonathon P Misiewicz
- Department of Chemistry and Cherry Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, USA
| | - Francesco A Evangelista
- Department of Chemistry and Cherry Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, USA
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4
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de la Perrelle JM, Tapping PC, Schrefl E, Stuart AN, Huang DM, Kee TW. Singlet fission preserves polarisation correlation of excitons. Phys Chem Chem Phys 2023; 25:6817-6829. [PMID: 36790866 DOI: 10.1039/d2cp01943d] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/11/2023]
Abstract
Singlet fission (SF) holds the promise to circumvent the photovoltaic efficiency limit to reach a power-conversion efficiency above 34%. SF of TIPS-pentacene (TIPS-Pn) has been investigated but its mechanism is yet to be well elucidated. Recently, we developed a nanoparticle (NP) system, in which doping of TIPS-Pn in a host matrix yields a range of average intermolecular distances, d, to study the dependence of SF in TIPS-Pn on d. At large d values, where the bimolecular SF process should be unfavourable, a relatively high SF quantum yield (ΦSF) is still observed, which implies a deviation from a random distribution of TIPS-Pn throughout the NP. Here, using polarisation-sensitive femtosecond time-resolved spectroscopy and Monte Carlo simulations of exciton migration and SF, we quantify the level of clustering of TIPS-Pn in the host matrix, which is responsible for the higher than expected ΦSF. The experimental data indicate a preservation of polarisation correlation by SF, which is uncommon because energy transfer in amorphous materials tends to result in depolarisation. We show that the preservation of polarisation correlation is due to SF upon exciton migration. Although exciton migration decorrelates polarisation, SF acts to remove decorrelated excitons to give an overall preservation of polarisation correlation.
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Affiliation(s)
| | - Patrick C Tapping
- Department of Chemistry, The University of Adelaide, South Australia 5005, Australia.
| | - Elisabeth Schrefl
- Department of Chemistry, The University of Adelaide, South Australia 5005, Australia.
| | - Alexandra N Stuart
- Department of Chemistry, The University of Adelaide, South Australia 5005, Australia.
| | - David M Huang
- Department of Chemistry, The University of Adelaide, South Australia 5005, Australia.
| | - Tak W Kee
- Department of Chemistry, The University of Adelaide, South Australia 5005, Australia.
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5
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Fiedler J, Berland K, Borchert JW, Corkery RW, Eisfeld A, Gelbwaser-Klimovsky D, Greve MM, Holst B, Jacobs K, Krüger M, Parsons DF, Persson C, Presselt M, Reisinger T, Scheel S, Stienkemeier F, Tømterud M, Walter M, Weitz RT, Zalieckas J. Perspectives on weak interactions in complex materials at different length scales. Phys Chem Chem Phys 2023; 25:2671-2705. [PMID: 36637007 DOI: 10.1039/d2cp03349f] [Citation(s) in RCA: 6] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
Nanocomposite materials consist of nanometer-sized quantum objects such as atoms, molecules, voids or nanoparticles embedded in a host material. These quantum objects can be exploited as a super-structure, which can be designed to create material properties targeted for specific applications. For electromagnetism, such targeted properties include field enhancements around the bandgap of a semiconductor used for solar cells, directional decay in topological insulators, high kinetic inductance in superconducting circuits, and many more. Despite very different application areas, all of these properties are united by the common aim of exploiting collective interaction effects between quantum objects. The literature on the topic spreads over very many different disciplines and scientific communities. In this review, we present a cross-disciplinary overview of different approaches for the creation, analysis and theoretical description of nanocomposites with applications related to electromagnetic properties.
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Affiliation(s)
- J Fiedler
- Department of Physics and Technology, University of Bergen, Allégaten 55, 5007 Bergen, Norway.
| | - K Berland
- Department of Mechanical Engineering and Technology Management, Norwegian University of Life Sciences, Campus Ås Universitetstunet 3, 1430 Ås, Norway
| | - J W Borchert
- 1st Institute of Physics, Georg-August-University, Göttingen, Germany
| | - R W Corkery
- Surface and Corrosion Science, Department of Chemistry, KTH Royal Institute of Technology, SE 100 44 Stockholm, Sweden
| | - A Eisfeld
- Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, 01187 Dresden, Germany
| | - D Gelbwaser-Klimovsky
- Schulich Faculty of Chemistry and Helen Diller Quantum Center, Technion-Israel Institute of Technology, Haifa 3200003, Israel
| | - M M Greve
- Department of Physics and Technology, University of Bergen, Allégaten 55, 5007 Bergen, Norway.
| | - B Holst
- Department of Physics and Technology, University of Bergen, Allégaten 55, 5007 Bergen, Norway.
| | - K Jacobs
- Experimental Physics, Saarland University, Center for Biophysics, 66123 Saarbrücken, Germany.,Max Planck School Matter to Life, 69120 Heidelberg, Germany
| | - M Krüger
- Institute for Theoretical Physics, Georg-August-Universität Göttingen, 37073 Göttingen, Germany
| | - D F Parsons
- Department of Chemical and Geological Sciences, University of Cagliari, Cittadella Universitaria, 09042 Monserrato, CA, Italy
| | - C Persson
- Centre for Materials Science and Nanotechnology, University of Oslo, P. O. Box 1048 Blindern, 0316 Oslo, Norway.,Department of Materials Science and Engineering, KTH Royal Institute of Technology, 100 44 Stockholm, Sweden
| | - M Presselt
- Leibniz Institute of Photonic Technology (IPHT), Albert-Einstein-Str. 9, 07745 Jena, Germany
| | - T Reisinger
- Institute for Quantum Materials and Technologies, Karlsruhe Institute of Technology, 76344 Eggenstein-Leopoldshafen, Germany
| | - S Scheel
- Institute of Physics, University of Rostock, Albert-Einstein-Str. 23-24, 18059 Rostock, Germany
| | - F Stienkemeier
- Institute of Physics, University of Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany
| | - M Tømterud
- Department of Physics and Technology, University of Bergen, Allégaten 55, 5007 Bergen, Norway.
| | - M Walter
- Institute of Physics, University of Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany
| | - R T Weitz
- 1st Institute of Physics, Georg-August-University, Göttingen, Germany
| | - J Zalieckas
- Department of Physics and Technology, University of Bergen, Allégaten 55, 5007 Bergen, Norway.
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6
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High-resolution two-dimensional electronic spectroscopy reveals the homogeneous line profile of chromophores solvated in nanoclusters. Nat Commun 2022; 13:3350. [PMID: 35688839 PMCID: PMC9187667 DOI: 10.1038/s41467-022-31021-z] [Citation(s) in RCA: 5] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/08/2021] [Accepted: 05/24/2022] [Indexed: 11/16/2022] Open
Abstract
Doped clusters in the gas phase provide nanoconfined model systems for the study of system-bath interactions. To gain insight into interaction mechanisms between chromophores and their environment, the ensemble inhomogeneity has to be lifted and the homogeneous line profile must be accessed. However, such measurements are very challenging at the low particle densities and low signal levels in cluster beam experiments. Here, we dope cryogenic rare-gas clusters with phthalocyanine molecules and apply action-detected two-dimensional electronic spectroscopy to gain insight into the local molecule-cluster environment for solid and superfluid cluster species. The high-resolution homogeneous linewidth analysis provides a benchmark for the theoretical modelling of binding configurations and shows a promising route for high-resolution molecular two-dimensional spectroscopy. Understanding the interaction of single chromophores with nanoparticles remains a challenging task in nanoscience. Here the authors provide insight into the interaction between isolated base-free phthalocyanine molecules and He and Ne nanoclusters in the gas phase using high-resolution two-dimensional spectroscopy.
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7
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Bohlen M, Michiels R, Michelbach M, Ferchane S, Walter M, Eisfeld A, Stienkemeier F. Excitation dynamics in polyacene molecules on rare-gas clusters. J Chem Phys 2022; 156:034305. [DOI: 10.1063/5.0073503] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Matthias Bohlen
- Institute of Physics, University of Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany
| | - Rupert Michiels
- Institute of Physics, University of Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany
| | - Moritz Michelbach
- Institute of Physics, University of Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany
| | - Selmane Ferchane
- Institute of Physics, University of Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany
| | - Michael Walter
- Institute of Physics, University of Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany
- FIT Freiburg Center for Interactive Materials and Bioinspired Technologies, University of Freiburg, Georges-Köhler-Allee 105, 79110 Freiburg, Germany
- Fraunhofer IWM, MikroTribologie Centrum μTC, Wöhlerstr. 11, 79108 Freiburg, Germany
| | - Alexander Eisfeld
- Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany
| | - Frank Stienkemeier
- Institute of Physics, University of Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany
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8
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Reddy SR, Coto PB, Thoss M. Quantum dynamical simulation of intramolecular singlet fission in covalently coupled pentacene dimers. J Chem Phys 2019; 151:044307. [DOI: 10.1063/1.5109897] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- S. Rajagopala Reddy
- Institute of Physics, Albert-Ludwigs University Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany
| | - Pedro B. Coto
- Department of Physical and Analytical Chemistry, University of Oviedo, Avda. Julián Clavería 8, 33006, Oviedo, Spain
| | - Michael Thoss
- Institute of Physics, Albert-Ludwigs University Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany
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9
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Stauffert O, Izadnia S, Stienkemeier F, Walter M. Optical signatures of pentacene in soft rare-gas environments. J Chem Phys 2019; 150:244703. [PMID: 31255055 DOI: 10.1063/1.5097553] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Acenes and pentacene (Pc), in particular, are promising candidates for organic dyes with interesting properties important for solar light to energy conversion. We present a combined experimental and computational study of Pc in an ultracold environment that allows for high resolution optical spectroscopy. The spectra and their vibrational substructure are interpreted with the help of density functional theory calculations. While there are only slight changes within superfluid helium as compared to vacuum, the neon surface shows more prominent effects. Additional vibrational coupling by neon modes leads to broadening as well as the emergence of new features, like the otherwise symmetry forbidden out-of-plane butterfly mode.
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Affiliation(s)
- Oliver Stauffert
- Institute of Physics, University of Freiburg, Herrmann-Herder-Strasse 3, D-79104 Freiburg, Germany
| | - Sharareh Izadnia
- Institute of Physics, University of Freiburg, Herrmann-Herder-Strasse 3, D-79104 Freiburg, Germany
| | - Frank Stienkemeier
- Institute of Physics, University of Freiburg, Herrmann-Herder-Strasse 3, D-79104 Freiburg, Germany
| | - Michael Walter
- Institute of Physics, University of Freiburg, Herrmann-Herder-Strasse 3, D-79104 Freiburg, Germany
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10
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Aguilar Suarez LE, Kathir R, Siagri E, Havenith RW, Faraji S. Determination of electronic couplings in the singlet fission process using a nonorthogonal configuration interaction approach. STATE OF THE ART OF MOLECULAR ELECTRONIC STRUCTURE COMPUTATIONS: CORRELATION METHODS, BASIS SETS AND MORE 2019. [DOI: 10.1016/bs.aiq.2019.05.004] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/03/2023]
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11
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Mostafanejad M, DePrince AE. Combining Pair-Density Functional Theory and Variational Two-Electron Reduced-Density Matrix Methods. J Chem Theory Comput 2018; 15:290-302. [DOI: 10.1021/acs.jctc.8b00988] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Mohammad Mostafanejad
- Department of Chemistry and Biochemistry, Florida State University, Tallahassee, Florida 32306-4390, United States
| | - A. Eugene DePrince
- Department of Chemistry and Biochemistry, Florida State University, Tallahassee, Florida 32306-4390, United States
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12
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Schriber JB, Hannon KP, Li C, Evangelista FA. A Combined Selected Configuration Interaction and Many-Body Treatment of Static and Dynamical Correlation in Oligoacenes. J Chem Theory Comput 2018; 14:6295-6305. [DOI: 10.1021/acs.jctc.8b00877] [Citation(s) in RCA: 40] [Impact Index Per Article: 6.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/26/2023]
Affiliation(s)
- Jeffrey B. Schriber
- Department of Chemistry and Cherry L. Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, United States
| | - Kevin P. Hannon
- Department of Chemistry and Cherry L. Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, United States
| | - Chenyang Li
- Department of Chemistry and Cherry L. Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, United States
| | - Francesco A. Evangelista
- Department of Chemistry and Cherry L. Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, United States
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13
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Tokoro Y, Ohtsuka N, Fukuzawa SI, Oyama T. Intra- and intermolecular interaction of anthracene moieties in 7,8-disilabicyclo[3.3.0]octadienyl-bridged bisanthracenes. RSC Adv 2018; 8:25177-25180. [PMID: 35542129 PMCID: PMC9082342 DOI: 10.1039/c8ra05293j] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/20/2018] [Accepted: 07/06/2018] [Indexed: 11/21/2022] Open
Abstract
V-shaped 9-anthrylarylsilane dimers prepared through ruthenium-catalyzed C–H cleavage showed excimer emission and bathochromic shifts by promoted contact of π-orbitals.
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Affiliation(s)
- Yuichiro Tokoro
- Department of Advanced Materials Chemistry
- Faculty of Engineering
- Yokohama National University
- Hodogaya-ku, Yokohama
- 240-8501 Japan
| | - Nobuhiko Ohtsuka
- Department of Applied Chemistry
- Institute of Science and Engineering
- Chuo University
- Tokyo
- Japan
| | - Shin-ichi Fukuzawa
- Department of Applied Chemistry
- Institute of Science and Engineering
- Chuo University
- Tokyo
- Japan
| | - Toshiyuki Oyama
- Department of Advanced Materials Chemistry
- Faculty of Engineering
- Yokohama National University
- Hodogaya-ku, Yokohama
- 240-8501 Japan
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14
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Sun KW, Yao Y. Beating maps of singlet fission: Simulation of coherent two-dimensional electronic spectroscopy by Davydov ansatz in organic molecules. J Chem Phys 2017; 147:224905. [DOI: 10.1063/1.5005564] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Ke-Wei Sun
- School of Science, Hangzhou Dianzi University, Hangzhou 310018, China
| | - Yao Yao
- Department of Physics, South China University of Technology, Guangzhou 510640, China
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15
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Hader K, Consani C, Brixner T, Engel V. Mapping of exciton–exciton annihilation in MEH-PPV by time-resolved spectroscopy: experiment and microscopic theory. Phys Chem Chem Phys 2017; 19:31989-31996. [DOI: 10.1039/c7cp05168a] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Transient absorption traces taken on samples of the polymer MEH-PPV are measured as a function of the laser intensity.
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Affiliation(s)
- Kilian Hader
- Institut für Physikalische und Theoretische Chemie
- Universität Würzburg
- 97074 Würzburg
- Germany
| | - Cristina Consani
- Institut für Physikalische und Theoretische Chemie
- Universität Würzburg
- 97074 Würzburg
- Germany
- Center for Nanosystems Chemistry (CNC)
| | - Tobias Brixner
- Institut für Physikalische und Theoretische Chemie
- Universität Würzburg
- 97074 Würzburg
- Germany
- Center for Nanosystems Chemistry (CNC)
| | - Volker Engel
- Institut für Physikalische und Theoretische Chemie
- Universität Würzburg
- 97074 Würzburg
- Germany
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