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Fay TP. Extending non-adiabatic rate theory to strong electronic couplings in the Marcus inverted regime. J Chem Phys 2024; 161:014101. [PMID: 38949594 DOI: 10.1063/5.0218653] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/13/2024] [Accepted: 06/12/2024] [Indexed: 07/02/2024] Open
Abstract
Electron transfer reactions play an essential role in many chemical and biological processes. Fermi's golden rule (GR), which assumes that the coupling between electronic states is small, has formed the foundation of electron transfer rate theory; however, in short range electron/energy transfer reactions, this coupling can become very large, and, therefore, Fermi's GR fails to make even qualitatively accurate rate predictions. In this paper, I present a simple modified GR theory to describe electron transfer in the Marcus inverted regime at arbitrarily large electronic coupling strengths. This theory is based on an optimal global rotation of the diabatic states, which makes it compatible with existing methods for calculating GR rates that can account for nuclear quantum effects with anharmonic potentials. Furthermore, the optimal GR (OGR) theory can also be combined with analytic theories for non-adiabatic rates, such as Marcus theory and Marcus-Levich-Jortner theory, offering clear physical insights into strong electronic coupling effects in non-adiabatic processes. OGR theory is also tested on a large set of spin-boson models and an anharmonic model against exact quantum dynamics calculations, where it performs well, correctly predicting rate turnover at large coupling strengths. Finally, an example application to a boron-dipyrromethane-anthracene photosensitizer reveals that strong coupling effects inhibit excited state charge recombination in this system, reducing the rate of this process by a factor of 4. Overall, OGR theory offers a new approach to calculating electron transfer rates at strong couplings, offering new physical insights into a range of non-adiabatic processes.
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Affiliation(s)
- Thomas P Fay
- Institut de Chimie Radicalaire, Aix-Marseille Université, Campus de Saint-Jérôme, Av. Esc. Normandie Niemen, 13397 Marseille, France
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Giannini S, Di Virgilio L, Bardini M, Hausch J, Geuchies JJ, Zheng W, Volpi M, Elsner J, Broch K, Geerts YH, Schreiber F, Schweicher G, Wang HI, Blumberger J, Bonn M, Beljonne D. Transiently delocalized states enhance hole mobility in organic molecular semiconductors. NATURE MATERIALS 2023; 22:1361-1369. [PMID: 37709929 DOI: 10.1038/s41563-023-01664-4] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/13/2022] [Accepted: 08/14/2023] [Indexed: 09/16/2023]
Abstract
Evidence shows that charge carriers in organic semiconductors self-localize because of dynamic disorder. Nevertheless, some organic semiconductors feature reduced mobility at increasing temperature, a hallmark for delocalized band transport. Here we present the temperature-dependent mobility in two record-mobility organic semiconductors: dinaphtho[2,3-b:2',3'-f]thieno[3,2-b]-thiophene (DNTT) and its alkylated derivative, C8-DNTT-C8. By combining terahertz photoconductivity measurements with atomistic non-adiabatic molecular dynamics simulations, we show that while both crystals display a power-law decrease of the mobility (μ) with temperature (T) following μ ∝ T -n, the exponent n differs substantially. Modelling reveals that the differences between the two chemically similar semiconductors can be traced to the delocalization of the different states that are thermally accessible by charge carriers, which in turn depends on their specific electronic band structure. The emerging picture is that of holes surfing on a dynamic manifold of vibrationally dressed extended states with a temperature-dependent mobility that provides a sensitive fingerprint for the underlying density of states.
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Affiliation(s)
- Samuele Giannini
- Laboratory for Chemistry of Novel Materials, University of Mons, Mons, Belgium.
| | | | - Marco Bardini
- Laboratory for Chemistry of Novel Materials, University of Mons, Mons, Belgium
| | - Julian Hausch
- Institut für Angewandte Physik, Universität Tübingen, Tübingen, Germany
| | | | - Wenhao Zheng
- Max Planck Institute for Polymer Research, Mainz, Germany
| | - Martina Volpi
- Laboratoire de Chimie des Polymères, Faculté des Sciences, Université Libre de Bruxelles (ULB), Bruxelles, Belgium
| | - Jan Elsner
- Department of Physics and Astronomy and Thomas Young Centre, University College London, London, UK
| | - Katharina Broch
- Institut für Angewandte Physik, Universität Tübingen, Tübingen, Germany
| | - Yves H Geerts
- Laboratoire de Chimie des Polymères, Faculté des Sciences, Université Libre de Bruxelles (ULB), Bruxelles, Belgium
- International Solvay Institutes for Physics and Chemistry, Université Libre de Bruxelles (ULB), Bruxelles, Belgium
| | - Frank Schreiber
- Institut für Angewandte Physik, Universität Tübingen, Tübingen, Germany
| | - Guillaume Schweicher
- Laboratoire de Chimie des Polymères, Faculté des Sciences, Université Libre de Bruxelles (ULB), Bruxelles, Belgium
| | - Hai I Wang
- Max Planck Institute for Polymer Research, Mainz, Germany.
- Nanophotonics, Debye Institute for Nanomaterials Science, Utrecht University, Utrecht, The Netherlands.
| | - Jochen Blumberger
- Department of Physics and Astronomy and Thomas Young Centre, University College London, London, UK
| | - Mischa Bonn
- Max Planck Institute for Polymer Research, Mainz, Germany.
| | - David Beljonne
- Laboratory for Chemistry of Novel Materials, University of Mons, Mons, Belgium.
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Vacek J, Zatloukalová M, Dorčák V, Cifra M, Futera Z, Ostatná V. Electrochemistry in sensing of molecular interactions of proteins and their behavior in an electric field. Mikrochim Acta 2023; 190:442. [PMID: 37847341 PMCID: PMC10582152 DOI: 10.1007/s00604-023-05999-2] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/09/2023] [Accepted: 09/12/2023] [Indexed: 10/18/2023]
Abstract
Electrochemical methods can be used not only for the sensitive analysis of proteins but also for deeper research into their structure, transport functions (transfer of electrons and protons), and sensing their interactions with soft and solid surfaces. Last but not least, electrochemical tools are useful for investigating the effect of an electric field on protein structure, the direct application of electrochemical methods for controlling protein function, or the micromanipulation of supramolecular protein structures. There are many experimental arrangements (modalities), from the classic configuration that works with an electrochemical cell to miniaturized electrochemical sensors and microchip platforms. The support of computational chemistry methods which appropriately complement the interpretation framework of experimental results is also important. This text describes recent directions in electrochemical methods for the determination of proteins and briefly summarizes available methodologies for the selective labeling of proteins using redox-active probes. Attention is also paid to the theoretical aspects of electron transport and the effect of an external electric field on the structure of selected proteins. Instead of providing a comprehensive overview, we aim to highlight areas of interest that have not been summarized recently, but, at the same time, represent current trends in the field.
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Affiliation(s)
- Jan Vacek
- Department of Medical Chemistry and Biochemistry, Faculty of Medicine and Dentistry, Palacky University, Hnevotinska 3, 77515, Olomouc, Czech Republic.
| | - Martina Zatloukalová
- Department of Medical Chemistry and Biochemistry, Faculty of Medicine and Dentistry, Palacky University, Hnevotinska 3, 77515, Olomouc, Czech Republic
| | - Vlastimil Dorčák
- Department of Medical Chemistry and Biochemistry, Faculty of Medicine and Dentistry, Palacky University, Hnevotinska 3, 77515, Olomouc, Czech Republic
| | - Michal Cifra
- Institute of Photonics and Electronics of the Czech Academy of Sciences, Chaberska 1014/57, 18200, Prague, Czech Republic
| | - Zdeněk Futera
- Faculty of Science, University of South Bohemia, Branisovska 1760, 37005, Ceske Budejovice, Czech Republic
| | - Veronika Ostatná
- Institute of Biophysics, The Czech Academy of Sciences, v.v.i., Kralovopolska 135, 61200, Brno, Czech Republic
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Ma J, Du Z, Lei Z, Wang L, Yu Y, Ye X, Ou W, Wei X, Ai B, Zhou Y. Intermolecular 3D-MoRSE Descriptors for Fast and Accurate Prediction of Electronic Couplings in Organic Semiconductors. J Chem Inf Model 2023; 63:5089-5096. [PMID: 37566518 DOI: 10.1021/acs.jcim.3c00786] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 08/13/2023]
Abstract
The theoretical rational design of organic semiconductors faces an obstacle in that the performance of organic semiconductors depends very much on their stacking and local morphology (for example, phase domains), which involves numerous molecules. Simulation becomes computationally expensive as intermolecular electronic couplings have to be calculated from density functional theory. Therefore, developing fast and accurate methods for intermolecular electronic coupling estimation is essential. In this work, by developing a series of new intermolecular 3D descriptors, we achieved fast and accurate prediction of electronic couplings in both crystalline and amorphous thin films. Three groups of developed descriptors could perform faster and higher accuracy prediction on electronic couplings than the most advanced state-of-the-art descriptors. This work paves the way for large-scale simulations, high-throughput calculations, and screening of organic semiconductors.
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Affiliation(s)
- Jiacheng Ma
- Guangzhou Key Laboratory of Flexible Electronic Materials and Wearable Devices, School of Material Science and Engineering, Sun Yat-sen University, Guangzhou 510006, China
| | - Zhenya Du
- Guangzhou Key Laboratory of Flexible Electronic Materials and Wearable Devices, School of Material Science and Engineering, Sun Yat-sen University, Guangzhou 510006, China
- Guangzhou Xinhua University, Guangzhou 510520, China
| | - Zhanpeng Lei
- Guangzhou Key Laboratory of Flexible Electronic Materials and Wearable Devices, School of Material Science and Engineering, Sun Yat-sen University, Guangzhou 510006, China
| | - Lewen Wang
- Guangzhou Key Laboratory of Flexible Electronic Materials and Wearable Devices, School of Material Science and Engineering, Sun Yat-sen University, Guangzhou 510006, China
| | - Yinye Yu
- Guangzhou Key Laboratory of Flexible Electronic Materials and Wearable Devices, School of Material Science and Engineering, Sun Yat-sen University, Guangzhou 510006, China
- Micro-Nano Manufacturing and System Integration Center, Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Sciences, Chongqing 400714, China
- University of Chinese Academy of Sciences, Beijing 100049, China
| | - Xin Ye
- Guangzhou Key Laboratory of Flexible Electronic Materials and Wearable Devices, School of Material Science and Engineering, Sun Yat-sen University, Guangzhou 510006, China
| | - Wen Ou
- Guangzhou Key Laboratory of Flexible Electronic Materials and Wearable Devices, School of Material Science and Engineering, Sun Yat-sen University, Guangzhou 510006, China
| | - Xingzhan Wei
- Micro-Nano Manufacturing and System Integration Center, Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Sciences, Chongqing 400714, China
| | - Bin Ai
- Guangzhou Key Laboratory of Flexible Electronic Materials and Wearable Devices, School of Material Science and Engineering, Sun Yat-sen University, Guangzhou 510006, China
| | - Yecheng Zhou
- Guangzhou Key Laboratory of Flexible Electronic Materials and Wearable Devices, School of Material Science and Engineering, Sun Yat-sen University, Guangzhou 510006, China
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Tan Y, Boudouris BW, Savoie BM. Bridging the Monomer to Polymer Gap in Radical Polymer Design. ACS Macro Lett 2023:801-807. [PMID: 37257139 DOI: 10.1021/acsmacrolett.3c00105] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/02/2023]
Abstract
Radical polymers bearing open-shell moieties at pendant sites exhibit unique redox and optoelectronic properties that are promising for many organic electronic applications. Nevertheless, gaps remain in relating the electronic properties of repeat units, which can be easily calculated, to the condensed-phase charge transport behaviors of these materials. To address this gap, we have performed the first quantum chemical study on a broad swathe of radical polymer design space that explicitly includes the coupling between polymer constraints and radical-mediated intramolecular charge transfer. For this purpose, a chemical space of 64 radical polymer chemistries was constructed based on varying backbone units, open-shell chemistries, and spacer units between the backbone and the radical groups. For each combination of backbone, radical, and spacer, comprehensive conformational sampling was used to calculate expected values of intrachain charge transport using several complementary metrics, including the end-to-end thermal Green's function, Delta-Wye transformed inverse resistance, and the Kirchhoff transport index. We observe that charge transport in radical polymers is primarily driven by the choice radical chemistry, which influences the optimal choice of backbone chemistry and spacer group that mediate radical alignment and avoid the formation of undesired trap states. Given the limited exploration of radical chemistries beyond the TEMPO radical for this class of materials, these findings suggest tremendous opportunities exist for synthetic exploration in radical polymers.
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Affiliation(s)
- Ying Tan
- Charles D. Davidson School of Chemical Engineering, Purdue University, 480 Stadium Avenue, West Lafayette, Indiana 47907, USA
| | - Bryan W Boudouris
- Charles D. Davidson School of Chemical Engineering, Purdue University, 480 Stadium Avenue, West Lafayette, Indiana 47907, USA
- Department of Chemistry, Purdue University, 560 Oval Drive, West Lafayette, Indiana 47907, USA
| | - Brett M Savoie
- Charles D. Davidson School of Chemical Engineering, Purdue University, 480 Stadium Avenue, West Lafayette, Indiana 47907, USA
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Shakiba M, Stippell E, Li W, Akimov AV. Nonadiabatic Molecular Dynamics with Extended Density Functional Tight-Binding: Application to Nanocrystals and Periodic Solids. J Chem Theory Comput 2022; 18:5157-5180. [PMID: 35758936 DOI: 10.1021/acs.jctc.2c00297] [Citation(s) in RCA: 5] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
In this work, we report a new methodology for nonadiabatic molecular dynamics calculations within the extended tight-binding (xTB) framework. We demonstrate the applicability of the developed approach to finite and periodic systems with thousands of atoms by modeling "hot" electron relaxation dynamics in silicon nanocrystals and electron-hole recombination in both a graphitic carbon nitride monolayer and a titanium-based metal-organic framework (MOF). This work reports the nonadiabatic dynamic simulations in the largest Si nanocrystals studied so far by the xTB framework, with diameters up to 3.5 nm. For silicon nanocrystals, we find a non-monotonic dependence of "hot" electron relaxation rates on the nanocrystal size, in agreement with available experimental reports. We rationalize this relationship by a combination of decreasing nonadiabatic couplings related to system size and the increase of available coherent transfer pathways in systems with higher densities of states. We emphasize the importance of proper treatment of coherences for obtaining such non-monotonic dependences. We characterize the electron-hole recombination dynamics in the graphitic carbon nitride monolayer and the Ti-containing MOF. We demonstrate the importance of spin-adaptation and proper sampling of surface hopping trajectories in modeling such processes. We also assess several trajectory surface hopping schemes and highlight their distinct qualitative behavior in modeling the excited-state dynamics in superexchange-like models depending on how they handle coherences between nearly parallel states.
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Affiliation(s)
- Mohammad Shakiba
- Department of Chemistry, University at Buffalo, The State University of New York, Buffalo, New York 14260, United States
| | - Elizabeth Stippell
- Department of Chemistry, University of Southern California, Los Angeles, California 90089, United States
| | - Wei Li
- School of Chemistry and Materials Science, Hunan Agricultural University, Changsha 410128, China
| | - Alexey V Akimov
- Department of Chemistry, University at Buffalo, The State University of New York, Buffalo, New York 14260, United States
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