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Dai Y, Rambaldi F, Negri F. Eclipsed and Twisted Excimers of Pyrene and 2-Azapyrene: How Nitrogen Substitution Impacts Excimer Emission. Molecules 2024; 29:507. [PMID: 38276585 PMCID: PMC11154402 DOI: 10.3390/molecules29020507] [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: 12/27/2023] [Revised: 01/13/2024] [Accepted: 01/17/2024] [Indexed: 01/27/2024] Open
Abstract
Due to their unique photophysical and electronic properties, pyrene and its analogues have been the subject of extensive research in recent decades. The propensity of pyrene and its derivatives to form excimers has found wide application in various fields. Nitrogen-substituted pyrene derivatives display similar photophysical properties, but for them, excimer emission has not been reported to date. Here, we use time-dependent density functional theory (TD-DFT) calculations to investigate the low-lying exciton states of dimers of pyrene and 2-azapyrene. The excimer equilibrium structures are determined and the contribution of charge transfer (CT) excitations and intermolecular interactions to the exciton states is disclosed using a diabatization procedure. The study reveals that the dimers formed by the two molecules have quite similar exciton-state patterns, in which the relevant CT contributions govern the formation of excimer states, along with the La/Lb state inversion. In contrast with pyrene, the dipole-dipole interactions in 2-azapyrene stabilize the dark eclipsed excimer structure and increase the barrier for conversion into a bright twisted excimer. It is suggested that these differences in the nitrogen-substituted derivative might influence the excimer emission properties.
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Affiliation(s)
- Yasi Dai
- Department of Chemistry “Giacomo Ciamician”, University of Bologna, 40126 Bologna, Italy; (Y.D.); (F.R.)
- Center for Chemical Catalysis—C3, Alma Mater Studiorum—Università di Bologna, Via Selmi 2, 40126 Bologna, Italy
| | - Filippo Rambaldi
- Department of Chemistry “Giacomo Ciamician”, University of Bologna, 40126 Bologna, Italy; (Y.D.); (F.R.)
| | - Fabrizia Negri
- Department of Chemistry “Giacomo Ciamician”, University of Bologna, 40126 Bologna, Italy; (Y.D.); (F.R.)
- Center for Chemical Catalysis—C3, Alma Mater Studiorum—Università di Bologna, Via Selmi 2, 40126 Bologna, Italy
- Consorzio Interuniversitario Nazionale per la Scienza e Tecnologia dei Materiali (INSTM), Research Unit of Bologna, 40126 Bologna, Italy
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2
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Liu W, Andrienko D. An ab initio method on large sized molecular aggregate system: Predicting absorption spectra of crystalline organic semiconducting films. J Chem Phys 2023; 158:094108. [PMID: 36889948 DOI: 10.1063/5.0138748] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/15/2023] Open
Abstract
Theoretical description of electronically excited states of molecular aggregates at an ab initio level is computationally demanding. To reduce the computational cost, we propose a model Hamiltonian approach that approximates the electronically excited state wavefunction of the molecular aggregate. We benchmark our approach on a thiophene hexamer, as well as calculate the absorption spectra of several crystalline non-fullerene acceptors, including Y6 and ITIC, which are known for their high power conversion efficiency in organic solar cells. The method qualitatively predicts the experimentally measured spectral shape, which can be further linked to the molecular arrangement in the unit cell.
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Affiliation(s)
- Wenlan Liu
- Max Planck Institute for Polymer Research, Ackermannweg 10, 55128 Mainz, Germany
| | - Denis Andrienko
- Max Planck Institute for Polymer Research, Ackermannweg 10, 55128 Mainz, Germany
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3
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Dai Y, Calzolari A, Zubiria-Ulacia M, Casanova D, Negri F. Intermolecular Interactions and Charge Resonance Contributions to Triplet and Singlet Exciton States of Oligoacene Aggregates. MOLECULES (BASEL, SWITZERLAND) 2022; 28:molecules28010119. [PMID: 36615311 PMCID: PMC9822017 DOI: 10.3390/molecules28010119] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 11/12/2022] [Revised: 12/19/2022] [Accepted: 12/20/2022] [Indexed: 12/29/2022]
Abstract
Intermolecular interactions modulate the electro-optical properties of molecular materials and the nature of low-lying exciton states. Molecular materials composed by oligoacenes are extensively investigated for their semiconducting and optoelectronic properties. Here, we analyze the exciton states derived from time-dependent density functional theory (TDDFT) calculations for two oligoacene model aggregates: naphthalene and anthracene dimers. To unravel the role of inter-molecular interactions, a set of diabatic states is selected, chosen to coincide with local (LE) and charge-transfer (CT) excitations within a restricted orbital space including two occupied and two unoccupied orbitals for each molecular monomer. We study energy profiles and disentangle inter-state couplings to disclose the (CT) character of singlet and triplet exciton states and assess the influence of inter-molecular orientation by displacing one molecule with respect to the other along the longitudinal translation coordinate. The analysis shows that (CT) contributions are relevant, although comparably less effective for triplet excitons, and induce a non-negligible mixed character to the low-lying exciton states for eclipsed monomers and for small translational displacements. Such (CT) contributions govern the La/Lb state inversion occurring for the low-lying singlet exciton states of naphthalene dimer and contribute to the switch from H- to J-aggregate type of the strongly allowed Bb transition of both oligoacene aggregates.
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Affiliation(s)
- Yasi Dai
- Dipartimento di Chimica “Giacomo Ciamician”, Università di Bologna, 40126 Bologna, Italy
| | - Alessandro Calzolari
- Dipartimento di Chimica “Giacomo Ciamician”, Università di Bologna, 40126 Bologna, Italy
| | - Maria Zubiria-Ulacia
- Donostia International Physics Center (DIPC), 20018 Donostia-San Sebastian, Euskadi, Spain
- Kimika Fakultatea, Euskal Herriko Unibertsitatea (UPV/EHU), Manuel Lardizabal 3, 20018 Donostia-San Sebastian, Euskadi, Spain
| | - David Casanova
- Donostia International Physics Center (DIPC), 20018 Donostia-San Sebastian, Euskadi, Spain
- IKERBASQUE, Basque Foundation for Science, 48009 Bilbao, Euskadi, Spain
| | - Fabrizia Negri
- Dipartimento di Chimica “Giacomo Ciamician”, Università di Bologna, 40126 Bologna, Italy
- INSTM UdR Bologna, 40126 Bologna, Italy
- Correspondence:
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4
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de Sousa LE, de Silva P. Diabatic Decomposition Perspective on the Role of Charge Transfer and Local Excitations in Thermally Activated Delayed Fluorescence. J Chem Theory Comput 2022; 18:5459-5470. [PMID: 36007256 DOI: 10.1021/acs.jctc.2c00310] [Citation(s) in RCA: 5] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Thermally activated delayed fluorescence (TADF) is a phenomenon that relies on the upconversion of triplet excitons to singlet excitons by means of reverse intersystem crossing (rISC). It has been shown both experimentally and theoretically that the TADF mechanism depends on the interplay between charge transfer and local excitations. However, the difference between the diabatic and adiabatic character of the involved excited states is rarely discussed in the literature. Here we develop a diabatization procedure to implement a four-state model Hamiltonian to a set of TADF molecules. We provide physical interpretations of the Hamiltonian elements and show their dependence on the electronic state of the equilibrium geometry. We also demonstrate how vibrations affect the TADF efficiency by modifying the diabatic decomposition of the molecule. Finally, we provide a simple model that connects the diabatic Hamiltonian to the electronic properties relevant to TADF and show how this relationship translates into different optimization strategies for rISC, fluorescence, and overall TADF performance.
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Affiliation(s)
- Leonardo Evaristo de Sousa
- Department of Energy Conversion and Storage, Technical University of Denmark, Anker Engelunds Vej 301, 2800 Kongens Lyngby, Denmark
| | - Piotr de Silva
- Department of Energy Conversion and Storage, Technical University of Denmark, Anker Engelunds Vej 301, 2800 Kongens Lyngby, Denmark
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5
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Impact of Charge-Resonance Excitations on CT-Mediated J-Type Aggregation in Singlet and Triplet Exciton States of Perylene Di-Imide Aggregates: A TDDFT Investigation. COMPUTATION 2022. [DOI: 10.3390/computation10020018] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/27/2023]
Abstract
The modulation of intermolecular interactions upon aggregation induces changes in excited state properties of organic molecules that can be detrimental for some optoelectronic applications but can be exploited for others. The time-dependent density functional theory (TDDFT) is a cost-effective approach to determining the exciton states of molecular aggregates, and it has been shown to provide reliable results when coupled with the appropriate choice of the functional. Here we apply a general procedure to analyze the aggregates’ exciton states derived from TDDFT calculations in terms of diabatic states chosen to coincide with local (LE) and charge-transfer (CT) excitations within a restricted orbital space. We apply the approach to study energy profiles, interstate couplings, and the charge-transfer character of singlet and triplet exciton states of perylene di-imide aggregates (PDI). We focus on the intermolecular displacement along the longitudinal translation coordinate, which mimics different amounts of slip-stacking observed in PDI crystals. The analysis, in terms of symmetry-adapted Frenkel excitations (FE) and charge-resonance (CR) states and their interactions, discloses how the interchange of the H/J character for small longitudinal shifts, previously reported for singlet exciton states, also occurs for triplet excitons.
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6
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Canola S, Bagnara G, Dai Y, Ricci G, Calzolari A, Negri F. Addressing the Frenkel and charge transfer character of exciton states with a model Hamiltonian based on dimer calculations: Application to large aggregates of perylene bisimide. J Chem Phys 2021; 154:124101. [PMID: 33810656 DOI: 10.1063/5.0045913] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022] Open
Abstract
To understand the influence of interchromophoric arrangements on photo-induced processes and optical properties of aggregates, it is fundamental to assess the contribution of local excitations [charge transfer (CT) and Frenkel (FE)] to exciton states. Here, we apply a general procedure to analyze the adiabatic exciton states derived from time-dependent density functional theory calculations, in terms of diabatic states chosen to coincide with local excitations within a restricted orbital space. In parallel, motivated by the need of cost-effective approaches to afford the study of larger aggregates, we propose to build a model Hamiltonian based on calculations carried out on dimers composing the aggregate. Both approaches are applied to study excitation energy profiles and CT character modulation induced by interchromophore rearrangements in perylene bisimide aggregates up to a tetramer. The dimer-based approach closely reproduces the results of full-aggregate calculations, and an analysis in terms of symmetry-adapted diabatic states discloses the effects of CT/FE interactions on the interchange of the H-/J-character for small longitudinal shifts of the chromophores.
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Affiliation(s)
- Sofia Canola
- Università di Bologna, Dipartimento di Chimica 'Giacomo Ciamician', Via F. Selmi, 2, 40126 Bologna, Italy
| | - Giuseppe Bagnara
- Università di Bologna, Dipartimento di Chimica 'Giacomo Ciamician', Via F. Selmi, 2, 40126 Bologna, Italy
| | - Yasi Dai
- Università di Bologna, Dipartimento di Chimica 'Giacomo Ciamician', Via F. Selmi, 2, 40126 Bologna, Italy
| | - Gaetano Ricci
- Università di Bologna, Dipartimento di Chimica 'Giacomo Ciamician', Via F. Selmi, 2, 40126 Bologna, Italy
| | - Alessandro Calzolari
- Università di Bologna, Dipartimento di Chimica 'Giacomo Ciamician', Via F. Selmi, 2, 40126 Bologna, Italy
| | - Fabrizia Negri
- Università di Bologna, Dipartimento di Chimica 'Giacomo Ciamician', Via F. Selmi, 2, 40126 Bologna, Italy
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7
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Deutsch M, Wirsing S, Kaiser D, Fink RF, Tegeder P, Engels B. Geometry relaxation-mediated localization and delocalization of excitons in organic semiconductors: A quantum chemical study. J Chem Phys 2020; 153:224104. [DOI: 10.1063/5.0028943] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022] Open
Affiliation(s)
- M. Deutsch
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg,, Emil-Fischer-Str. 42, D-97074 Würzburg, Germany
| | - S. Wirsing
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg,, Emil-Fischer-Str. 42, D-97074 Würzburg, Germany
| | - D. Kaiser
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg,, Emil-Fischer-Str. 42, D-97074 Würzburg, Germany
| | - R. F. Fink
- Institut für Physikalische und Theoretische Chemie, Universität Tübingen, Auf der Morgenstelle 18, 72076 Tübingen, Germany
| | - P. Tegeder
- Physikalisch-Chemisches Institut, Universität Heidelberg, Im Neuenheimer Feld 253, 69120 Heidelberg, Germany
| | - B. Engels
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg,, Emil-Fischer-Str. 42, D-97074 Würzburg, Germany
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8
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Zheng J, Peng J, Xie Y, Long Y, Ning X, Lan Z. Study of the exciton dynamics in perylene bisimide (PBI) aggregates with symmetrical quasiclassical dynamics based on the Meyer–Miller mapping Hamiltonian. Phys Chem Chem Phys 2020; 22:18192-18204. [DOI: 10.1039/d0cp00648c] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022]
Abstract
The exciton dynamics in one-dimensional stacked PBI (Perylene Bisimide) aggregates was studied with SQC-MM dynamics (Symmetrical Quasiclassical Dynamics based on the Meyer–Miller mapping Hamiltonian).
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Affiliation(s)
- Jie Zheng
- Industrial Research Institute of Nonwovens & Technical Textiles
- Shandong Center for Engineered Nonwovens (SCEN)
- College of Textiles Clothing
- Qingdao University
- Qingdao 266071
| | - Jiawei Peng
- SCNU Environmental Research Institute
- Guangdong Provincial Key Laboratory of Chemical Pollution and Environmental Safety & MOE Key Laboratory of Theoretical Chemistry of Environment
- South China Normal University
- Guangzhou 510006
- China
| | - Yu Xie
- SCNU Environmental Research Institute
- Guangdong Provincial Key Laboratory of Chemical Pollution and Environmental Safety & MOE Key Laboratory of Theoretical Chemistry of Environment
- South China Normal University
- Guangzhou 510006
- China
| | - Yunze Long
- Industrial Research Institute of Nonwovens & Technical Textiles
- Shandong Center for Engineered Nonwovens (SCEN)
- College of Textiles Clothing
- Qingdao University
- Qingdao 266071
| | - Xin Ning
- Industrial Research Institute of Nonwovens & Technical Textiles
- Shandong Center for Engineered Nonwovens (SCEN)
- College of Textiles Clothing
- Qingdao University
- Qingdao 266071
| | - Zhenggang Lan
- SCNU Environmental Research Institute
- Guangdong Provincial Key Laboratory of Chemical Pollution and Environmental Safety & MOE Key Laboratory of Theoretical Chemistry of Environment
- South China Normal University
- Guangzhou 510006
- China
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9
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Zubiria-Ulacia M, Matxain JM, Casanova D. The role of CT excitations in PDI aggregates. Phys Chem Chem Phys 2020; 22:15908-15918. [DOI: 10.1039/d0cp02344b] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Abstract
Energies and couplings of local excitations and charge transfer states control the nature of singlets and triplets in PDI aggregates.
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Affiliation(s)
- Maria Zubiria-Ulacia
- Donostia International Physics Center (DIPC)
- 20018 Donostia
- Spain
- Universidad del País Vasco/Euskal Herriko Unibertsitatea
- Euskadi
| | - Jon M. Matxain
- Universidad del País Vasco/Euskal Herriko Unibertsitatea
- Euskadi
- Spain
| | - David Casanova
- Donostia International Physics Center (DIPC)
- 20018 Donostia
- Spain
- IKERBASQUE
- Basque Foundation for Science
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10
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Baiardi A, Reiher M. Large-Scale Quantum Dynamics with Matrix Product States. J Chem Theory Comput 2019; 15:3481-3498. [DOI: 10.1021/acs.jctc.9b00301] [Citation(s) in RCA: 48] [Impact Index Per Article: 9.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022]
Affiliation(s)
- Alberto Baiardi
- Laboratorium für Physikalische Chemie, ETH Zürich, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
| | - Markus Reiher
- Laboratorium für Physikalische Chemie, ETH Zürich, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
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