51
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Mester D, Kállay M. Combined Density Functional and Algebraic-Diagrammatic Construction Approach for Accurate Excitation Energies and Transition Moments. J Chem Theory Comput 2019; 15:4440-4453. [PMID: 31265275 DOI: 10.1021/acs.jctc.9b00391] [Citation(s) in RCA: 16] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/20/2023]
Abstract
A composite of time-dependent density functional theory (TDDFT) and the second-order algebraic-diagrammatic construction [ADC(2)] approach is presented for efficient calculation of spectral properties of molecules. Our method can be regarded as a new excited-state double-hybrid (DH) approach or a dressed TDDFT scheme, but it can also be interpreted as an empirically tuned ADC(2) model. Several combinations of exchange-correlation functionals and spin-scaling schemes are explored. Our best-performing method includes the Perdew, Burke, and Ernzerhof exchange and Perdew's 1986 correlation functional and employs the scaled-opposite-spin approximation for the higher-order terms. The computation time of the new method scales as the fourth power of the system size, and an efficient cost-reduction approach is also presented, which further speeds up the calculations. Our benchmark calculations show that the proposed model outperforms not only the existing DH approaches and ADC(2) variants but also the considerably more expensive coupled-cluster methods.
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Affiliation(s)
- Dávid Mester
- Department of Physical Chemistry and Materials Science , Budapest University of Technology and Economics , P.O. Box 91, H-1521 Budapest , Hungary
| | - Mihály Kállay
- Department of Physical Chemistry and Materials Science , Budapest University of Technology and Economics , P.O. Box 91, H-1521 Budapest , Hungary
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52
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Suellen C, Freitas RG, Loos PF, Jacquemin D. Cross-Comparisons between Experiment, TD-DFT, CC, and ADC for Transition Energies. J Chem Theory Comput 2019; 15:4581-4590. [DOI: 10.1021/acs.jctc.9b00446] [Citation(s) in RCA: 44] [Impact Index Per Article: 8.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/24/2023]
Affiliation(s)
- Cinthia Suellen
- Departamento de Quimica, Laboratorio Computacional de Materiais, Universidade Federal de Mato Grosso, Cuiaba, Mato Grosso 78060, Brazil
| | - Renato Garcia Freitas
- Departamento de Quimica, Laboratorio Computacional de Materiais, Universidade Federal de Mato Grosso, Cuiaba, Mato Grosso 78060, Brazil
| | - Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, 31062 Cedex 9 Toulouse, France
| | - Denis Jacquemin
- Laboratoire CEISAM—UMR CNRS 6230, Université de Nantes, 2 Rue de la Houssinière, BP 92208, 44322 Cedex 3 Nantes, France
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53
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Abstract
The accuracy of three different complete active space (CAS) self-consistent field (CASSCF) methods is investigated for the electronically excited-state benchmark set of Schreiber , M. ; et al. J. Chem. Phys. 2008 , 128 , 134110 . Comparison of the CASSCF linear response (LR) methods MC-RPA and MC-TDA and the state-averaged (SA) CASSCF method is made for 122 singlet excitation energies and 69 oscillator strengths. Of all CASSCF methods, when considering the complete test set, MC-RPA performs best for both excitation energies and oscillator strengths with a mean absolute error (MAE) of 0.74 eV and 51%, respectively. MC-TDA and SA-CASSCF show a similar accuracy for the excitation energies with a MAE of ∼1 eV with respect to more accurate coupled cluster (CC3) excitation energies. The opposite trend is observed for the subset of n → π* excitation energies for which SA-CASSCF exhibits the least deviations (MAE 0.65 eV). By looking at s-tetrazine in more detail, we conclude that better performance for the n → π* SA-CASSCF excitation energies can be attributed to a fortunate error compensation. For oscillator strengths, SA-CASSCF performs worst for the complete test set (MAE 100%) as well as for the subsets of n → π* (MAE 192%) and π → π* excitations (MAE 84.9%). In general, CASSCF gives the worst performance for excitation energies of all excited-state ab initio methods considered so far due to lacking the major part of dynamic electron correlation, though MC-RPA and TD-DFT (BP86) show similar performance. Among all LR-type methods, LR-CASSCF oscillator strengths are the ones with the least accuracy for the same reason. As state-specific orbital relaxation effects are accounted for in LR-CASSCF, oscillator strengths are significantly more accurate than those of MS-CASPT2. Our findings should encourage further developments of response theory-based multireference methods with higher accuracy and feasibility.
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Affiliation(s)
- Benjamin Helmich-Paris
- Max-Planck-Institut für Kohlenforschung , Kaiser-Wilhelm-Platz 1 , D-45470 Mülheim an der Ruhr , Germany
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54
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Baudin P, Pawłowski F, Bykov D, Liakh D, Kristensen K, Olsen J, Jørgensen P. Cluster perturbation theory. III. Perturbation series for coupled cluster singles and doubles excitation energies. J Chem Phys 2019; 150:134110. [DOI: 10.1063/1.5046935] [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)
- Pablo Baudin
- Laboratory of Computational Chemistry and Biochemistry, Institute of Chemical Sciences and Engineering, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
- Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
| | - Filip Pawłowski
- Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
- Department of Chemistry and Biochemistry, Auburn University, Auburn, Alabama 36849-5312, USA
| | - Dmytro Bykov
- Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
- Oak Ridge National Laboratory (ORNL), 1 Bethel Valley Rd., Oak Ridge, Tennessee 37831, USA
| | - Dmitry Liakh
- Oak Ridge National Laboratory (ORNL), 1 Bethel Valley Rd., Oak Ridge, Tennessee 37831, USA
| | - Kasper Kristensen
- Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
- Aarhus University School of Engineering, Aarhus University, Inge Lehmanns Gade 10, DK-8000 Aarhus C, Denmark
| | - Jeppe Olsen
- Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
| | - Poul Jørgensen
- Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
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55
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Pawłowski F, Olsen J, Jørgensen P. Cluster perturbation theory. II. Excitation energies for a coupled cluster target state. J Chem Phys 2019; 150:134109. [DOI: 10.1063/1.5053167] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Filip Pawłowski
- Department of Chemistry and Biochemistry, Auburn University, Auburn, Alabama 36849-5312, USA
| | - Jeppe Olsen
- Department of Chemistry, qLEAP Center for Theoretical Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
| | - Poul Jørgensen
- Department of Chemistry, qLEAP Center for Theoretical Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
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56
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Loos PF, Jacquemin D. Chemically Accurate 0–0 Energies with Not-so-Accurate Excited State Geometries. J Chem Theory Comput 2019; 15:2481-2491. [DOI: 10.1021/acs.jctc.8b01103] [Citation(s) in RCA: 28] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023]
Affiliation(s)
- Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, 31077 Toulouse, France
| | - Denis Jacquemin
- Laboratoire CEISAM - UMR CNRS 6230, Université de Nantes, 2 Rue de la Houssiniére, BP 92208, 44322 Nantes, Cedex 3, France
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57
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Mewes SA, Dreuw A. Density-based descriptors and exciton analyses for visualizing and understanding the electronic structure of excited states. Phys Chem Chem Phys 2019; 21:2843-2856. [PMID: 30687866 DOI: 10.1039/c8cp07191h] [Citation(s) in RCA: 32] [Impact Index Per Article: 6.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/07/2023]
Abstract
Analysis and interpretation of the electronic structure of excited electronic states are prerequisites for developing a fundamental understanding of photochemistry and optical properties of molecular systems and an everyday task for a computational photochemist. Hence, wavefunction-based and density-based analysis tools have been devised over the last decades, and most recently also a family of quantitative exciton-wavefunction based descriptors has been developed. While the latter represent the main focus of this perspective, they are also discussed in the context of other existing analysis methods. Exciton analysis bridges the gap between the physically intuitive exciton picture and complex quantum-chemical wavefunctions by yielding insightful quantitative descriptors like exciton size, hole and electron size, electron-hole distance and exciton correlation. Thereby, not only a comprehensive characterization of the electronic structure is provided, but moreover, the formalism is automatizable and thus also optimally suited for benchmarking excited-state electronic structure methods.
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Affiliation(s)
- Stefanie A Mewes
- Interdisciplinary Center for Scientific Computing, Im Neuenheimer Feld 205 A, 69120 Heidelberg, Germany.
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58
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Grabarek D, Andruniów T. Assessment of Functionals for TDDFT Calculations of One- and Two-Photon Absorption Properties of Neutral and Anionic Fluorescent Proteins Chromophores. J Chem Theory Comput 2018; 15:490-508. [PMID: 30485096 DOI: 10.1021/acs.jctc.8b00769] [Citation(s) in RCA: 21] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/24/2023]
Abstract
Performance of DFT functionals with different percentages of exact Hartree-Fock exchange energy (EX) is assessed for recovery of the CC2 reference one- (OPA) and two-photon absorption (TPA) spectra of fluorescent proteins chromophores in vacuo. The investigated DFT functionals, together with their EX contributions are BLYP (0%), B3LYP (20%), B1LYP (25%), BHandHLYP (50%), and CAM-B3LYP (19% at short range and 65% at long range). Our test set consists of anionic and neutral chromophores as naturally occurring in the fluorescent proteins. For the first time, we compare TDDFT and CC2 methods for higher excited states than the S1 state, exhibiting relatively large TPA intensity. Our TDDFT results for neutral chromophores reveal an increase in excitation energies as well as TPA and OPA intensities errors, compared to CC2-derived results, as the DFT functional contains less exact exchange. The long-range-corrected CAM-B3LYP functional performs the best, closely followed by BHandHLYP, while BLYP usually significantly underestimates all investigated spectral properties, hence being the worst in reproducing the reference CC2 results. The hybrid B3LYP and B1LYP functionals can be roughly placed in between. We propose that TDDFT may underestimate the TPA intensities for neutral chromophores of fluorescent proteins due to underestimated oscillator strengths between some excited states. In the case of anionic chromophores, we find that B3LYP and B1LYP functionals overcome others in terms of reproducing CC2 excitation energies. On the other hand, however, TPA intensity is usually significantly underestimated, and in this respect, CAM-B3LYP functional seems to be again superior. In contrast to the case of neutral chromophores, it seems that a large magnitude of excited-state dipole moments or changes in dipole moments upon excitation may be the driving force behind high TPA transition moments.
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Affiliation(s)
- Dawid Grabarek
- Advanced Materials Engineering and Modelling Group , Wroclaw University of Science and Technology , Wyb. Wyspianskiego 27 , 50-370 Wroclaw , Poland
| | - Tadeusz Andruniów
- Advanced Materials Engineering and Modelling Group , Wroclaw University of Science and Technology , Wyb. Wyspianskiego 27 , 50-370 Wroclaw , Poland
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59
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Tajti A, Stanton JF, Matthews DA, Szalay PG. Accuracy of Coupled Cluster Excited State Potential Energy Surfaces. J Chem Theory Comput 2018; 14:5859-5869. [DOI: 10.1021/acs.jctc.8b00681] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Attila Tajti
- Institute of Chemistry, Eötvös Loránd University, H-1117, Budapest, Hungary
| | - John F. Stanton
- Quantum Theory Project, Department of Chemistry and Physics, University of Florida, Gainesville, Florida 32611, United States
| | - Devin A. Matthews
- Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, Texas 78712, United States
| | - Péter G. Szalay
- Institute of Chemistry, Eötvös Loránd University, H-1117, Budapest, Hungary
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60
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Heuser J, Höfener S. Analytical Nuclear Excited-State Gradients for the Second-Order Approximate Coupled-Cluster Singles and Doubles (CC2) Method Employing Uncoupled Frozen-Density Embedding. J Chem Theory Comput 2018; 14:4616-4628. [PMID: 30086227 DOI: 10.1021/acs.jctc.8b00369] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Abstract
We report the derivation and implementation of analytical orbital-relaxed properties and nuclear gradients for excited states using the second-order approximate coupled-cluster singles and doubles (CC2) model combined with uncoupled frozen-density embedding (FDEu). An implementation of the algebraic diagrammatic construction through second-order ADC(2), which arises from simplification of RICC2 FDEu, is also presented. In order to ensure a RICC2 FDEu Lagrange functional that is linear in the Lagrange multipliers, the Hartree-Fock density is employed for the target subsystem in the embedding contributions. The accuracy of the new scheme is assessed using the carbon monoxide molecule, 4-aminophthalimide, and a benzonitrile dimer, revealing that the obtained errors are below the method error of RICC2. Using density functional theory for the environment, the efficiency of the new method is illustrated by computing the perturbed excited-state dipole moment of a chromophore in a biological environment. For this system, comprising 32 molecules consisting of 366 atoms in total, the computation requires only a couple of days on a standard compute node. RICC2 FDEu thus enables large-scale calculations of ab initio wave functions for molecules in complex environments as routine applications.
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Affiliation(s)
- Johannes Heuser
- Institute of Physical Chemistry , Karlsruhe Institute of Technology (KIT) , P.O. Box 6980, D-76049 Karlsruhe , Germany
| | - Sebastian Höfener
- Institute of Physical Chemistry , Karlsruhe Institute of Technology (KIT) , P.O. Box 6980, D-76049 Karlsruhe , Germany
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61
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Abstract
Ab initio calculation of electronic excitation energies with chemical accuracy (ca. 1 kcal·mol-1 or 0.043 eV with respect to experiment) is a long-standing challenge in electronic structure theory. Indeed, the most advanced theories can, in practice, only be used to estimate vertical transition energies that cannot be measured experimentally, whereas the calculation of 0-0 energies requires excited-state structures and vibrations for both the ground and excited states, which drastically restrains the number of applicable methods. In this Letter, we present a composite computational protocol able to deliver chemically accurate theoretical 0-0 energies, with a mean absolute deviation of 0.018 eV for a set of 35 singlet valence states. Such accuracy, achievable for the valence states of small- and medium-sized molecules only, allows pinpointing questionable experimental assignments with very high confidence and constitutes a step toward quantitative prediction of excited-state properties.
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Affiliation(s)
- Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques , Université de Toulouse, CNRS, UPS , 31013 Toulouse Cedex 6 , France
| | - Nicolas Galland
- Laboratoire CEISAM - UMR CNR 6230 , Université de Nantes , 2 Rue de la Houssinière, BP 92208 , 44322 Nantes Cedex 3 , France
| | - Denis Jacquemin
- Laboratoire CEISAM - UMR CNR 6230 , Université de Nantes , 2 Rue de la Houssinière, BP 92208 , 44322 Nantes Cedex 3 , France
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62
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Robinson D. Comparison of the Transition Dipole Moments Calculated by TDDFT with High Level Wave Function Theory. J Chem Theory Comput 2018; 14:5303-5309. [DOI: 10.1021/acs.jctc.8b00335] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- 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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63
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Lischka H, Nachtigallová D, Aquino AJA, Szalay PG, Plasser F, Machado FBC, Barbatti M. Multireference Approaches for Excited States of Molecules. Chem Rev 2018; 118:7293-7361. [DOI: 10.1021/acs.chemrev.8b00244] [Citation(s) in RCA: 197] [Impact Index Per Article: 32.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Affiliation(s)
- Hans Lischka
- School of Pharmaceutical Sciences and Technology, Tianjin University, Tianjin 300072, P.R. China
- Department of Chemistry and Biochemistry, Texas Tech University, Lubbock, Texas 79409, United States
- Institute of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währinger Straße 17, 1090 Vienna, Austria
| | - Dana Nachtigallová
- Institute of Organic Chemistry and Biochemistry v.v.i., The Czech Academy of Sciences, Flemingovo nám. 2, 16610 Prague 6, Czech Republic
- Regional Centre of Advanced Technologies and Materials, Palacký University, 78371 Olomouc, Czech Republic
| | - Adélia J. A. Aquino
- School of Pharmaceutical Sciences and Technology, Tianjin University, Tianjin 300072, P.R. China
- Department of Chemistry and Biochemistry, Texas Tech University, Lubbock, Texas 79409, United States
- Institute for Soil Research, University of Natural Resources and Life Sciences Vienna, Peter-Jordan-Strasse 82, A-1190 Vienna, Austria
| | - Péter G. Szalay
- ELTE Eötvös Loránd University, Laboratory of Theoretical Chemistry, Pázmány Péter sétány 1/A, 1117 Budapest, Hungary
| | - Felix Plasser
- Institute of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währinger Straße 17, 1090 Vienna, Austria
- Department of Chemistry, Loughborough University, Leicestershire LE11 3TU, United Kingdom
| | - Francisco B. C. Machado
- Departamento de Química, Instituto Tecnológico de Aeronáutica, São José dos Campos 12228-900, São Paulo, Brazil
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64
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Loos PF, Scemama A, Blondel A, Garniron Y, Caffarel M, Jacquemin D. A Mountaineering Strategy to Excited States: Highly Accurate Reference Energies and Benchmarks. J Chem Theory Comput 2018; 14:4360-4379. [DOI: 10.1021/acs.jctc.8b00406] [Citation(s) in RCA: 152] [Impact Index Per Article: 25.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023]
Affiliation(s)
- Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, 31013 Toulouse Cedex 6, France
| | - Anthony Scemama
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, 31013 Toulouse Cedex 6, France
| | - Aymeric Blondel
- Laboratoire CEISAM - UMR CNRS 6230, Université de Nantes, 2 Rue de la Houssinière, BP 92208, 44322 Nantes Cedex 3, France
| | - Yann Garniron
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, 31013 Toulouse Cedex 6, France
| | - Michel Caffarel
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, 31013 Toulouse Cedex 6, France
| | - Denis Jacquemin
- Laboratoire CEISAM - UMR CNRS 6230, Université de Nantes, 2 Rue de la Houssinière, BP 92208, 44322 Nantes Cedex 3, France
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65
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Brémond E, Savarese M, Adamo C, Jacquemin D. Accuracy of TD-DFT Geometries: A Fresh Look. J Chem Theory Comput 2018; 14:3715-3727. [DOI: 10.1021/acs.jctc.8b00311] [Citation(s) in RCA: 47] [Impact Index Per Article: 7.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023]
Affiliation(s)
- Eric Brémond
- Sorbonne Paris Cité, ITODYS, UMR CNRS 7086, Université Paris Diderot, 15 rue Jean-Antoine de Baı̈f, F-75013 Paris, France
| | - Marika Savarese
- D3 Compunet, Istituto Italiano di Tecnologia via Morego, 30 16163 Genova, Italy
| | - Carlo Adamo
- Chimie ParisTech, CNRS, Institut de Recherche de Chimie Paris, PSL Research University, 11 rue Pierre et Marie Curie, F-75005 Paris, France
| | - Denis Jacquemin
- Laboratoire CEISAM, UMR CNRS 6230, Université de Nantes, 2 rue de la Houssinière, BP 92208, 44322 Cedex 3 Nantes, France
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66
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Gui X, Holzer C, Klopper W. Accuracy Assessment of GW Starting Points for Calculating Molecular Excitation Energies Using the Bethe–Salpeter Formalism. J Chem Theory Comput 2018; 14:2127-2136. [DOI: 10.1021/acs.jctc.8b00014] [Citation(s) in RCA: 52] [Impact Index Per Article: 8.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Affiliation(s)
- Xin Gui
- Institute of Physical Chemistry, Theoretical Chemistry Group, Karlsruhe Institute of Technology (KIT), KIT Campus South, P.O. Box 6980, D-76049 Karlsruhe, Germany
| | - Christof Holzer
- Institute of Physical Chemistry, Theoretical Chemistry Group, Karlsruhe Institute of Technology (KIT), KIT Campus South, P.O. Box 6980, D-76049 Karlsruhe, Germany
| | - Wim Klopper
- Institute of Physical Chemistry, Theoretical Chemistry Group, Karlsruhe Institute of Technology (KIT), KIT Campus South, P.O. Box 6980, D-76049 Karlsruhe, Germany
- Centre for Advanced Study (CAS) at The Norwegian Academy of Science and Letters, Drammensveien 78, N-0271 Oslo, Norway
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67
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Myhre RH, Wolf TJA, Cheng L, Nandi S, Coriani S, Gühr M, Koch H. A theoretical and experimental benchmark study of core-excited states in nitrogen. J Chem Phys 2018; 148:064106. [DOI: 10.1063/1.5011148] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Rolf H. Myhre
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Oslo, 0315 Oslo, Norway
- Department of Chemistry, Norwegian University of Science and Technology, 7491 Trondheim, Norway
- Department of Chemistry and the PULSE Institute, Stanford University, Stanford, California 94305, USA
| | - Thomas J. A. Wolf
- Stanford PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - Lan Cheng
- Department of Chemistry, The Johns Hopkins University, Baltimore, Maryland 21218, USA
| | - Saikat Nandi
- Synchrotron SOLEIL, L’Orme des Merisiers, Saint-Aubin, BP 48, 91192 Gif-sur-Yvette Cedex, France
- Department of Physics, Lund University, P.O. Box 118, SE-221 00 Lund, Sweden
| | - Sonia Coriani
- Department of Chemistry, Technical University of Denmark, DK-2800 Kongens Lyngby, Denmark
- Aarhus Institute of Advanced Studies, Aarhus University, DK-8000 Århus C, Denmark
| | - Markus Gühr
- Stanford PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
- Department of Physics and Astronomy, University of Potsdam, 14476 Potsdam, Germany
| | - Henrik Koch
- Department of Chemistry, Norwegian University of Science and Technology, 7491 Trondheim, Norway
- Department of Chemistry and the PULSE Institute, Stanford University, Stanford, California 94305, USA
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68
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Wong ZC, Fan WY, Chwee TS, Sullivan MB. Using non-empirically tuned range-separated functionals with simulated emission bands to model fluorescence lifetimes. Phys Chem Chem Phys 2018; 19:21046-21057. [PMID: 28748247 DOI: 10.1039/c7cp03418k] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Fluorescence lifetimes were evaluated using TD-DFT under different approximations for the emitting molecule and various exchange-correlation functionals, such as B3LYP, BMK, CAM-B3LYP, LC-BLYP, M06, M06-2X, M11, PBE0, ωB97, ωB97X, LC-BLYP*, and ωB97X* where the range-separation parameters in the last two functionals were tuned in a non-empirical fashion. Changes in the optimised molecular geometries between the ground and electronically excited states were found to affect the quality of the calculated lifetimes significantly, while the inclusion of vibronic features led to further improvements over the assumption of a vertical electronic transition. The LC-BLYP* functional was found to return the most accurate fluorescence lifetimes with unsigned errors that are mostly within 1.5 ns of experimental values.
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Affiliation(s)
- Z C Wong
- Institute of High Performance Computing, Agency for Science, Technology and Research (A*STAR), 1 Fusionopolis Way, 138632, Singapore. and NUS Graduate School for Integrative Sciences and Engineering, National University of Singapore, 28 Medical Drive, 117456, Singapore
| | - W Y Fan
- Department of Chemistry, National University of Singapore, 3 Science Drive 3, 117543, Singapore
| | - T S Chwee
- Institute of High Performance Computing, Agency for Science, Technology and Research (A*STAR), 1 Fusionopolis Way, 138632, Singapore.
| | - Michael B Sullivan
- Institute of High Performance Computing, Agency for Science, Technology and Research (A*STAR), 1 Fusionopolis Way, 138632, Singapore. and Department of Chemistry, National University of Singapore, 3 Science Drive 3, 117543, Singapore
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69
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Mewes SA, Plasser F, Krylov A, Dreuw A. Benchmarking Excited-State Calculations Using Exciton Properties. J Chem Theory Comput 2018; 14:710-725. [DOI: 10.1021/acs.jctc.7b01145] [Citation(s) in RCA: 101] [Impact Index Per Article: 16.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022]
Affiliation(s)
- Stefanie A. Mewes
- Interdisciplinary
Center for Scientific Computing, Ruprecht-Karls University, Im Neuenheimer Feld 205A, D-69120 Heidelberg, Germany
- Centre
for Theoretical Chemistry and Physics, The New Zealand Institute for
Advanced Study (NZIAS), Massey University Albany, Private Bag 102904, Auckland 0745, New Zealand
| | - Felix Plasser
- Institute
for Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währingstrasse 17, A-1090 Wien, Austria
| | - Anna Krylov
- University of Southern California Los Angeles, Los Angeles, California 90089-0482, United States
| | - Andreas Dreuw
- Interdisciplinary
Center for Scientific Computing, Ruprecht-Karls University, Im Neuenheimer Feld 205A, D-69120 Heidelberg, Germany
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70
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Jacquemin D. What is the Key for Accurate Absorption and Emission Calculations, Energy or Geometry? J Chem Theory Comput 2018; 14:1534-1543. [DOI: 10.1021/acs.jctc.7b01224] [Citation(s) in RCA: 33] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Denis Jacquemin
- Laboratoire CEISAM-UMR CNRS 6230, Université de Nantes, 2 Rue de la Houssiniére, BP 92208, 44322 Nantes Cedex 3, France
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71
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Wong ZC, Fan WY, Chwee TS. Computational modelling of singlet excitation energy transfer: a DFT/TD-DFT study of the ground and excited state properties of a syn bimane dimer system using non-empirically tuned range-separated functionals. NEW J CHEM 2018. [DOI: 10.1039/c8nj02920b] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Range-tuned DFT/TD-DFT improves predicted properties for the sequence of events leading to excitation energy transfer (EET) in bimanes.
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Affiliation(s)
- Z. C. Wong
- Institute of High Performance Computing
- Agency for Science, Technology and Research (A*STAR)
- Singapore
- NUS Graduate School for Integrative Sciences and Engineering
- National University of Singapore
| | - W. Y. Fan
- Department of Chemistry
- National University of Singapore
- Singapore
| | - T. S. Chwee
- Institute of High Performance Computing
- Agency for Science, Technology and Research (A*STAR)
- Singapore
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72
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Blase X, Duchemin I, Jacquemin D. The Bethe–Salpeter equation in chemistry: relations with TD-DFT, applications and challenges. Chem Soc Rev 2018; 47:1022-1043. [DOI: 10.1039/c7cs00049a] [Citation(s) in RCA: 120] [Impact Index Per Article: 20.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
Abstract
We review the Bethe–Salpeter formalism and analyze its performances for the calculation of the excited state properties of molecular systems.
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Affiliation(s)
- Xavier Blase
- Univ. Grenoble Alpes
- CNRS
- Inst NEEL
- F-38042 Grenoble
- France
| | - Ivan Duchemin
- Univ. Grenoble Alpes
- CEA
- INAC-MEM
- L-Sim
- F-38000 Grenoble
| | - Denis Jacquemin
- CEISAM UMR CNRS 6230
- Université de Nantes
- 44322 Nantes Cedex 3
- France
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73
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Azarias C, Ponce-Vargas M, Navizet I, Fleurat-Lessard P, Romieu A, Le Guennic B, Richard JA, Jacquemin D. Rationalisation of the optical signatures of nor-dihydroxanthene-hemicyanine fused near-infrared fluorophores by first-principle tools. Phys Chem Chem Phys 2018; 20:12120-12128. [DOI: 10.1039/c8cp01587b] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/06/2023]
Abstract
The perfect pair towards more effective nor-DXH-hemicyanine fused NIR fluoroohores.
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Affiliation(s)
- Cloé Azarias
- Chimie Et Interdisciplinarité, Synthèse, Analyse, Modélisation (CEISAM)
- UMR CNRS no. 6230
- BP 92208
- Université de Nantes
- 44322 Nantes Cedex 3
| | - Miguel Ponce-Vargas
- Institut de Chimie Moléculaire de l'Université de Bourgogne (ICMUB, UMR-CNRS 6302)
- Université de Bourgogne Franche-Comté
- 21078 Dijon
- France
- Université Paris-Est
| | - Isabelle Navizet
- Université Paris-Est
- Laboratoire Modélisation et Simulation Multi Echelle
- MSME
- UMR 8208 CNRS
- UPEM
| | - Paul Fleurat-Lessard
- Institut de Chimie Moléculaire de l'Université de Bourgogne (ICMUB, UMR-CNRS 6302)
- Université de Bourgogne Franche-Comté
- 21078 Dijon
- France
| | - Anthony Romieu
- Institut de Chimie Moléculaire de l'Université de Bourgogne (ICMUB, UMR-CNRS 6302)
- Université de Bourgogne Franche-Comté
- 21078 Dijon
- France
- Institut Universitaire de France
| | - Boris Le Guennic
- Univ Rennes
- CNRS
- ISCR (Institut des Sciences Chimiques de Rennes) – UMR 6226
- 35000 Rennes
- France
| | - Jean-Alexandre Richard
- Organic Chemistry
- Institute of Chemical and Engineering Sciences
- (ICES)
- Agency for Science, Technology and Research (A_STAR)
- Singapore
| | - Denis Jacquemin
- Chimie Et Interdisciplinarité, Synthèse, Analyse, Modélisation (CEISAM)
- UMR CNRS no. 6230
- BP 92208
- Université de Nantes
- 44322 Nantes Cedex 3
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74
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Dutta AK, Nooijen M, Neese F, Izsák R. Exploring the Accuracy of a Low Scaling Similarity Transformed Equation of Motion Method for Vertical Excitation Energies. J Chem Theory Comput 2017; 14:72-91. [DOI: 10.1021/acs.jctc.7b00802] [Citation(s) in RCA: 72] [Impact Index Per Article: 10.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Achintya Kumar Dutta
- Max-Planck-Institut für Chemische Energiekonversion, Stiftstr. 34-36, 45470 Mülheim an der Ruhr, Germany
| | - Marcel Nooijen
- Department of Chemistry, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
| | - Frank Neese
- Max-Planck-Institut für Chemische Energiekonversion, Stiftstr. 34-36, 45470 Mülheim an der Ruhr, Germany
| | - Róbert Izsák
- Max-Planck-Institut für Chemische Energiekonversion, Stiftstr. 34-36, 45470 Mülheim an der Ruhr, Germany
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75
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Peng B, Kowalski K. Highly Efficient and Scalable Compound Decomposition of Two-Electron Integral Tensor and Its Application in Coupled Cluster Calculations. J Chem Theory Comput 2017; 13:4179-4192. [DOI: 10.1021/acs.jctc.7b00605] [Citation(s) in RCA: 33] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Bo Peng
- William R. Wiley Environmental
Molecular Sciences Laboratory, Battelle, Pacific Northwest National Laboratory, K8-91, P. O. Box 999, Richland, Washington 99352, United States
| | - Karol Kowalski
- William R. Wiley Environmental
Molecular Sciences Laboratory, Battelle, Pacific Northwest National Laboratory, K8-91, P. O. Box 999, Richland, Washington 99352, United States
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76
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Li C, Verma P, Hannon KP, Evangelista FA. A low-cost approach to electronic excitation energies based on the driven similarity renormalization group. J Chem Phys 2017; 147:074107. [DOI: 10.1063/1.4997480] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023] Open
Affiliation(s)
- Chenyang Li
- Department of Chemistry and Cherry Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, USA
| | - Prakash Verma
- Department of Chemistry and Cherry Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, USA
| | - Kevin P. Hannon
- 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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77
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Dutta AK, Neese F, Izsák R. A simple scheme for calculating approximate transition moments within the equation of motion expectation value formalism. J Chem Phys 2017; 146:214111. [PMID: 28595413 PMCID: PMC5461178 DOI: 10.1063/1.4984618] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/28/2017] [Accepted: 05/17/2017] [Indexed: 11/15/2022] Open
Abstract
A simple scheme for calculating approximate transition moments within the framework of the equation of motion coupled cluster method is proposed. It relies on a matrix inversion technique to calculate the excited state left eigenvectors and requires no additional cost over that of the excitation energy calculation. The new approximation gives almost identical UV-Vis spectra to that obtained using the standard equation of motion coupled cluster method with single and double excitations for molecules in a standard test set.
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Affiliation(s)
- Achintya Kumar Dutta
- Max-Planck-Institut für Chemische Energiekonversion, Stiftstr. 34-36, 45470 Mülheim an der Ruhr, Germany
| | - Frank Neese
- Max-Planck-Institut für Chemische Energiekonversion, Stiftstr. 34-36, 45470 Mülheim an der Ruhr, Germany
| | - Róbert Izsák
- Max-Planck-Institut für Chemische Energiekonversion, Stiftstr. 34-36, 45470 Mülheim an der Ruhr, Germany
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78
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Mester D, Nagy PR, Kállay M. Reduced-cost linear-response CC2 method based on natural orbitals and natural auxiliary functions. J Chem Phys 2017; 146:194102. [PMID: 28527453 DOI: 10.1063/1.4983277] [Citation(s) in RCA: 43] [Impact Index Per Article: 6.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A reduced-cost density fitting (DF) linear-response second-order coupled-cluster (CC2) method has been developed for the evaluation of excitation energies. The method is based on the simultaneous truncation of the molecular orbital (MO) basis and the auxiliary basis set used for the DF approximation. For the reduction of the size of the MO basis, state-specific natural orbitals (NOs) are constructed for each excited state using the average of the second-order Møller-Plesset (MP2) and the corresponding configuration interaction singles with perturbative doubles [CIS(D)] density matrices. After removing the NOs of low occupation number, natural auxiliary functions (NAFs) are constructed [M. Kállay, J. Chem. Phys. 141, 244113 (2014)], and the NAF basis is also truncated. Our results show that, for a triple-zeta basis set, about 60% of the virtual MOs can be dropped, while the size of the fitting basis can be reduced by a factor of five. This results in a dramatic reduction of the computational costs of the solution of the CC2 equations, which are in our approach about as expensive as the evaluation of the MP2 and CIS(D) density matrices. All in all, an average speedup of more than an order of magnitude can be achieved at the expense of a mean absolute error of 0.02 eV in the calculated excitation energies compared to the canonical CC2 results. Our benchmark calculations demonstrate that the new approach enables the efficient computation of CC2 excitation energies for excited states of all types of medium-sized molecules composed of up to 100 atoms with triple-zeta quality basis sets.
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Affiliation(s)
- Dávid Mester
- MTA-BME Lendület Quantum Chemistry Research Group, Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, P.O. Box 91, H-1521 Budapest, Hungary
| | - Péter R Nagy
- MTA-BME Lendület Quantum Chemistry Research Group, Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, P.O. Box 91, H-1521 Budapest, Hungary
| | - Mihály Kállay
- MTA-BME Lendület Quantum Chemistry Research Group, Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, P.O. Box 91, H-1521 Budapest, Hungary
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79
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Wiebeler C, Borin V, Sanchez de Araújo AV, Schapiro I, Borin AC. Excitation Energies of Canonical Nucleobases Computed by Multiconfigurational Perturbation Theories. Photochem Photobiol 2017; 93:888-902. [DOI: 10.1111/php.12765] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/14/2016] [Accepted: 03/16/2017] [Indexed: 12/12/2022]
Affiliation(s)
- Christian Wiebeler
- Fritz Haber Center for Molecular Dynamics; Institute of Chemistry; The Hebrew University of Jerusalem; Jerusalem Israel
| | - Veniamin Borin
- Fritz Haber Center for Molecular Dynamics; Institute of Chemistry; The Hebrew University of Jerusalem; Jerusalem Israel
| | - Adalberto Vasconcelos Sanchez de Araújo
- Department of Fundamental Chemistry; Institute of Chemistry; NAP-PhotoTech the USP Consortium for Photochemical Technology; University of São Paulo; São Paulo SP Brazil
| | - Igor Schapiro
- Fritz Haber Center for Molecular Dynamics; Institute of Chemistry; The Hebrew University of Jerusalem; Jerusalem Israel
| | - Antonio Carlos Borin
- Department of Fundamental Chemistry; Institute of Chemistry; NAP-PhotoTech the USP Consortium for Photochemical Technology; University of São Paulo; São Paulo SP Brazil
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80
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Dutta AK, Nooijen M, Neese F, Izsák R. Automatic active space selection for the similarity transformed equations of motion coupled cluster method. J Chem Phys 2017; 146:074103. [DOI: 10.1063/1.4976130] [Citation(s) in RCA: 45] [Impact Index Per Article: 6.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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81
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Kánnár D, Tajti A, Szalay PG. Accuracy of Coupled Cluster Excitation Energies in Diffuse Basis Sets. J Chem Theory Comput 2016; 13:202-209. [DOI: 10.1021/acs.jctc.6b00875] [Citation(s) in RCA: 40] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Dániel Kánnár
- Laboratory of Theoretical
Chemistry, Institute of Chemistry, Eötvös Loránd University, P.O. Box 32, H-1518, Budapest 112, Hungary
| | - Attila Tajti
- Laboratory of Theoretical
Chemistry, Institute of Chemistry, Eötvös Loránd University, P.O. Box 32, H-1518, Budapest 112, Hungary
| | - Péter G. Szalay
- Laboratory of Theoretical
Chemistry, Institute of Chemistry, Eötvös Loránd University, P.O. Box 32, H-1518, Budapest 112, Hungary
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82
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Ren S, Harms J, Caricato M. An EOM-CCSD-PCM Benchmark for Electronic Excitation Energies of Solvated Molecules. J Chem Theory Comput 2016; 13:117-124. [PMID: 27973775 DOI: 10.1021/acs.jctc.6b01053] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
In this work, we benchmark the equation of motion coupled cluster with single and double excitations (EOM-CCSD) method combined with the polarizable continuum model (PCM) for the calculation of electronic excitation energies of solvated molecules. EOM-CCSD is one of the most accurate methods for computing one-electron excitation energies, and accounting for the solvent effect on this property is a key challenge. PCM is one of the most widely employed solvation models due to its adaptability to virtually any solute and its efficient implementation with density functional theory methods (DFT). Our goal in this work is to evaluate the reliability of EOM-CCSD-PCM, especially compared to time-dependent DFT-PCM (TDDFT-PCM). Comparisons between calculated and experimental excitation energies show that EOM-CCSD-PCM consistently overestimates experimental results by 0.4-0.5 eV, which is larger than the expected EOM-CCSD error in vacuo. We attribute this decrease in accuracy to the approximated solvation model. Thus, we investigate a particularly important source of error: the lack of H-bonding interactions in PCM. We show that this issue can be addressed by computing an energy shift, ΔHB, from bare-PCM to microsolvation + PCM at DFT level. Our results show that such a shift is independent of the functional used, contrary to the absolute value of the excitation energy. Hence, we suggest an efficient protocol where the EOM-CCSD-PCM transition energy is corrected by ΔHB(DFT), which consistently improves the agreement with the experimental measurements.
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Affiliation(s)
- Sijin Ren
- Department of Chemistry, University of Kansas , 1251 Wescoe Hall Dr., Lawrence, Kansas 66045, United States
| | - Joseph Harms
- Lawrence High School , 1901 Louisiana St., Lawrence, Kansas 66046, United States
| | - Marco Caricato
- Department of Chemistry, University of Kansas , 1251 Wescoe Hall Dr., Lawrence, Kansas 66045, United States
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83
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Tajti A, Szalay PG. Investigation of the Impact of Different Terms in the Second Order Hamiltonian on Excitation Energies of Valence and Rydberg States. J Chem Theory Comput 2016; 12:5477-5482. [DOI: 10.1021/acs.jctc.6b00723] [Citation(s) in RCA: 26] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Attila Tajti
- Institute of Chemistry, Eötvös Loránd University, Budapest H-1125, Hungary
| | - Péter G. Szalay
- Institute of Chemistry, Eötvös Loránd University, Budapest H-1125, Hungary
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84
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Komainda A, Lyskov I, Marian CM, Köppel H. Ab Initio Benchmark Study of Nonadiabatic S1–S2 Photodynamics of cis- and trans-Hexatriene. J Phys Chem A 2016; 120:6541-56. [DOI: 10.1021/acs.jpca.6b04971] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- A. Komainda
- Physikalisch-Chemisches
Institut, Universität Heidelberg, Im Neuenheimer Feld 229, D-69120 Heidelberg, Germany
| | - I. Lyskov
- Institut
für Theoretische Chemie und Computerchemie, Universität Düsseldorf, Universitätsstraße 1, D-40225 Düsseldorf, Germany
| | - C. M. Marian
- Institut
für Theoretische Chemie und Computerchemie, Universität Düsseldorf, Universitätsstraße 1, D-40225 Düsseldorf, Germany
| | - H. Köppel
- Physikalisch-Chemisches
Institut, Universität Heidelberg, Im Neuenheimer Feld 229, D-69120 Heidelberg, Germany
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85
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Tuna D, Lu Y, Koslowski A, Thiel W. Semiempirical Quantum-Chemical Orthogonalization-Corrected Methods: Benchmarks of Electronically Excited States. J Chem Theory Comput 2016; 12:4400-22. [DOI: 10.1021/acs.jctc.6b00403] [Citation(s) in RCA: 44] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Affiliation(s)
- Deniz Tuna
- Max-Planck-Institut für Kohlenforschung, 45470 Mülheim an der Ruhr, Germany
| | - You Lu
- Max-Planck-Institut für Kohlenforschung, 45470 Mülheim an der Ruhr, Germany
| | - Axel Koslowski
- Max-Planck-Institut für Kohlenforschung, 45470 Mülheim an der Ruhr, Germany
| | - Walter Thiel
- Max-Planck-Institut für Kohlenforschung, 45470 Mülheim an der Ruhr, Germany
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86
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Abstract
We present an efficient implementation of the closed shell multilevel coupled cluster method where coupled cluster singles and doubles (CCSD) is used for the inactive orbital space and CCSD with perturbative triples (CC3) is employed for the smaller active orbital space. Using Cholesky orbitals, the active space can be spatially localized and the computational cost is greatly reduced compared to full CC3 while retaining the accuracy of CC3 excitation energies. For the small organic molecules considered we achieve up to two orders of magnitude reduction in the computational requirements.
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Affiliation(s)
- Rolf H Myhre
- Department of Chemistry, Norwegian University of Science and Technology, 7491 Trondheim, Norway
| | - Henrik Koch
- Department of Chemistry, Norwegian University of Science and Technology, 7491 Trondheim, Norway
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87
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Jacquemin D, Duchemin I, Blondel A, Blase X. Assessment of the Accuracy of the Bethe–Salpeter (BSE/GW) Oscillator Strengths. J Chem Theory Comput 2016; 12:3969-81. [DOI: 10.1021/acs.jctc.6b00419] [Citation(s) in RCA: 34] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Affiliation(s)
- Denis Jacquemin
- CEISAM
Laboratory−UMRS CNR 6230, University of Nantes, 2 Rue de la
Houssinière, BP 92208, 44322 Nantes Cedex 3, France
- Institut Universitaire de France, 1 rue Descartes, 75005 Paris Cedex 5, France
| | - Ivan Duchemin
- Institute
for Nanoscience and Cryogenics (INAC), SP2M/L_Sim, CEA/UJF Cedex 09, 38054 Grenoble, France
| | - Aymeric Blondel
- CEISAM
Laboratory−UMRS CNR 6230, University of Nantes, 2 Rue de la
Houssinière, BP 92208, 44322 Nantes Cedex 3, France
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88
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Hait D, Zhu T, McMahon DP, Van Voorhis T. Prediction of Excited-State Energies and Singlet–Triplet Gaps of Charge-Transfer States Using a Restricted Open-Shell Kohn–Sham Approach. J Chem Theory Comput 2016; 12:3353-9. [DOI: 10.1021/acs.jctc.6b00426] [Citation(s) in RCA: 59] [Impact Index Per Article: 7.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Diptarka Hait
- Department
of Chemistry, Massachusetts Institute of Technology, 77 Massachusetts
Avenue, Cambridge, Massachusetts 02139, United States
| | - Tianyu Zhu
- Department
of Chemistry, Massachusetts Institute of Technology, 77 Massachusetts
Avenue, Cambridge, Massachusetts 02139, United States
| | - David P. McMahon
- Department
of Chemistry, Massachusetts Institute of Technology, 77 Massachusetts
Avenue, Cambridge, Massachusetts 02139, United States
| | - Troy Van Voorhis
- Department
of Chemistry, Massachusetts Institute of Technology, 77 Massachusetts
Avenue, Cambridge, Massachusetts 02139, United States
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89
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Chwee TS, Lim GS, Wong ZC, Sullivan MB, Fan WY. Rapid intersystem crossings in anti bimanes. Phys Chem Chem Phys 2016; 18:7404-13. [PMID: 26898362 DOI: 10.1039/c6cp00424e] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We have carried out first principles electronic structure calculations on the ground and excited valence states of syn and anti bimanes. While syn bimanes fluoresce strongly after photoexcitation to the first excited singlet state (S1) and are commonly used as fluorophores in biological labeling studies, anti bimanes largely phosphoresce at low temperatures. We show that this is due to subtle differences in the energetic ordering of excited singlet and triplet states within the isomers. In particular, T2 in anti bimanes is characterized by a π→π* transition and large exchange interactions with the singlet counterpart cause it to lie below and energetically close to S1 at the Franck-Condon region. This opens up a pathway for very fast intersystem crossing (ca. 10(11) s(-1)) from the optically bright S1 state to the triplet manifold, which effectively quenches fluorescence. On the other hand, T2 is energetically inaccessible to S1 in syn bimanes and intersystem crossing via S1→ T1 cannot compete effectively with fluorescence to S0. We have also located minimum energy conical intersections between S0 and S1 in bimanes. However, these structures are significantly distorted from their equilibrium geometries as well as energetically much higher than S1 at the Franck-Condon region. They are therefore not expected to play a part in the photophysics of bimanes after excitation to S1.
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Affiliation(s)
- T S Chwee
- Institute of High Performance Computing, Agency for Science, Technology and Research (A*STAR), 1 Fusionopolis Way, 138632, Singapore.
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90
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Wong ZC, Fan WY, Chwee TS, Sullivan MB. Modelling fluorescence lifetimes with TD-DFT: a case study with syn-bimanes. RSC Adv 2016. [DOI: 10.1039/c6ra11495d] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022] Open
Abstract
Syn-bimanes are a class of fluorophores that are widely used for labelling thiol containing biological systems. We used TD-DFT to study their absorption, emission, solvatochromism, and fluorescence lifetimes.
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Affiliation(s)
- Z. C. Wong
- Institute of High Performance Computing
- Agency for Science
- Technology and Research (A*STAR)
- Singapore
- NUS Graduate School for Integrative Sciences and Engineering
| | - W. Y. Fan
- Department of Chemistry
- National University of Singapore
- Singapore
| | - T. S. Chwee
- Institute of High Performance Computing
- Agency for Science
- Technology and Research (A*STAR)
- Singapore
| | - M. B. Sullivan
- Institute of High Performance Computing
- Agency for Science
- Technology and Research (A*STAR)
- Singapore
- Department of Chemistry
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91
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Sun H, Zhang S, Zhong C, Sun Z. Theoretical study of excited states of DNA base dimers and tetramers using optimally tuned range-separated density functional theory. J Comput Chem 2015; 37:684-93. [DOI: 10.1002/jcc.24266] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/08/2015] [Revised: 11/10/2015] [Accepted: 11/11/2015] [Indexed: 01/16/2023]
Affiliation(s)
- Haitao Sun
- State Key Laboratory of Precision Spectroscopy, Department of Physics; East China Normal University; Shanghai 200062 People's Republic of China
| | - Shian Zhang
- State Key Laboratory of Precision Spectroscopy, Department of Physics; East China Normal University; Shanghai 200062 People's Republic of China
| | - Cheng Zhong
- Department of Chemistry; Wuhan University; Hubei 430072 People's Republic of China
| | - Zhenrong Sun
- State Key Laboratory of Precision Spectroscopy, Department of Physics; East China Normal University; Shanghai 200062 People's Republic of China
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92
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Huntington LMJ, Demel O, Nooijen M. Benchmark Applications of Variations of Multireference Equation of Motion Coupled-Cluster Theory. J Chem Theory Comput 2015; 12:114-32. [DOI: 10.1021/acs.jctc.5b00799] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Lee M. J. Huntington
- Department
of Chemistry, University of Waterloo, 200 University Avenue West, Waterloo, Ontario N2L 3G1, Canada
| | - Ondřej Demel
- J.
Heyrovský Institute of Physical Chemistry, v. v. i., Academy of Sciences of the Czech Republic, Dolejškova 3, 18223 Prague 8, Czech Republic
| | - Marcel Nooijen
- Department
of Chemistry, University of Waterloo, 200 University Avenue West, Waterloo, Ontario N2L 3G1, Canada
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93
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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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94
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Pershin A, Szalay PG. Improving the Accuracy of the Charge Transfer Integrals Obtained by Coupled Cluster Theory, MBPT(2), and TDDFT. J Chem Theory Comput 2015; 11:5705-11. [DOI: 10.1021/acs.jctc.5b00837] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Anton Pershin
- Laboratory for Theoretical
Chemistry, Institute of Chemistry, Eötvös Loránd University, P.O. Box 32, H-1518 Budapest, Hungary
| | - Péter G. Szalay
- Laboratory for Theoretical
Chemistry, Institute of Chemistry, Eötvös Loránd University, P.O. Box 32, H-1518 Budapest, Hungary
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95
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Piecuch P, Hansen JA, Ajala AO. Benchmarking the completely renormalised equation-of-motion coupled-cluster approaches for vertical excitation energies. Mol Phys 2015. [DOI: 10.1080/00268976.2015.1076901] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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96
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Ramakrishnan R, Hartmann M, Tapavicza E, von Lilienfeld OA. Electronic spectra from TDDFT and machine learning in chemical space. J Chem Phys 2015; 143:084111. [DOI: 10.1063/1.4928757] [Citation(s) in RCA: 128] [Impact Index Per Article: 14.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Raghunathan Ramakrishnan
- Institute of Physical Chemistry and National Center for Computational Design and Discovery of Novel Materials, Department of Chemistry, University of Basel, Klingelbergstrasse 80, CH-4056 Basel, Switzerland
| | - Mia Hartmann
- Department of Chemistry and Biochemistry, California State University, 1250 Bellflower Boulevard, Long Beach, California 90840, USA
| | - Enrico Tapavicza
- Department of Chemistry and Biochemistry, California State University, 1250 Bellflower Boulevard, Long Beach, California 90840, USA
| | - O. Anatole von Lilienfeld
- Institute of Physical Chemistry and National Center for Computational Design and Discovery of Novel Materials, Department of Chemistry, University of Basel, Klingelbergstrasse 80, CH-4056 Basel, Switzerland
- Argonne Leadership Computing Facility, Argonne National Laboratory, 9700 S. Cass Avenue, Lemont, Illinois 60439, USA
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97
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Egidi F, Segado M, Koch H, Cappelli C, Barone V. A benchmark study of electronic excitation energies, transition moments, and excited-state energy gradients on the nicotine molecule. J Chem Phys 2015; 141:224114. [PMID: 25494739 DOI: 10.1063/1.4903307] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
In this work, we report a comparative study of computed excitation energies, oscillator strengths, and excited-state energy gradients of (S)-nicotine, chosen as a test case, using multireference methods, coupled cluster singles and doubles, and methods based on time-dependent density functional theory. This system was chosen because its apparent simplicity hides a complex electronic structure, as several different types of valence excitations are possible, including n-π(*), π-π(*), and charge-transfer states, and in order to simulate its spectrum it is necessary to describe all of them consistently well by the chosen method.
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Affiliation(s)
- Franco Egidi
- Scuola Normale Superiore, Piazza dei Cavalieri, 7 I-56126 Pisa, Italy
| | - Mireia Segado
- Scuola Normale Superiore, Piazza dei Cavalieri, 7 I-56126 Pisa, Italy
| | - Henrik Koch
- Department of Chemistry, Norwegian University of Science and Technology, 7491 Trondheim, Norway
| | - Chiara Cappelli
- Dipartimento di Chimica e Chimica Industriale, Università di Pisa, via G. Moruzzi, 3 I-56124 Pisa, Italy
| | - Vincenzo Barone
- Scuola Normale Superiore, Piazza dei Cavalieri, 7 I-56126 Pisa, Italy
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98
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Sun H, Zhong C, Brédas JL. Reliable Prediction with Tuned Range-Separated Functionals of the Singlet–Triplet Gap in Organic Emitters for Thermally Activated Delayed Fluorescence. J Chem Theory Comput 2015; 11:3851-8. [DOI: 10.1021/acs.jctc.5b00431] [Citation(s) in RCA: 279] [Impact Index Per Article: 31.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Haitao Sun
- Solar & Photovoltaics Engineering Research Center, Physical Science and Engineering Division, King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Kingdom of Saudi Arabia
| | - Cheng Zhong
- Solar & Photovoltaics Engineering Research Center, Physical Science and Engineering Division, King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Kingdom of Saudi Arabia
| | - Jean-Luc Brédas
- Solar & Photovoltaics Engineering Research Center, Physical Science and Engineering Division, King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Kingdom of Saudi Arabia
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99
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Jacquemin D, Duchemin I, Blase X. Benchmarking the Bethe-Salpeter Formalism on a Standard Organic Molecular Set. J Chem Theory Comput 2015; 11:3290-304. [PMID: 26207104 PMCID: PMC4504186 DOI: 10.1021/acs.jctc.5b00304] [Citation(s) in RCA: 118] [Impact Index Per Article: 13.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/01/2015] [Indexed: 12/17/2022]
Abstract
We perform benchmark calculations of the Bethe-Salpeter vertical excitation energies for the set of 28 molecules constituting the well-known Thiel’s set, complemented by a series of small molecules representative of the dye chemistry field. We show that Bethe-Salpeter calculations based on a molecular orbital energy spectrum obtained with non-self-consistent G0W0 calculations starting from semilocal DFT functionals dramatically underestimate the transition energies. Starting from the popular PBE0 hybrid functional significantly improves the results even though this leads to an average -0.59 eV redshift compared to reference calculations for Thiel’s set. It is shown, however, that a simple self-consistent scheme at the GW level, with an update of the quasiparticle energies, not only leads to a much better agreement with reference values, but also significantly reduces the impact of the starting DFT functional. On average, the Bethe-Salpeter scheme based on self-consistent GW calculations comes close to the best time-dependent DFT calculations with the PBE0 functional with a 0.98 correlation coefficient and a 0.18 (0.25) eV mean absolute deviation compared to TD-PBE0 (theoretical best estimates) with a tendency to be red-shifted. We also observe that TD-DFT and the standard adiabatic Bethe-Salpeter implementation may differ significantly for states implying a large multiple excitation character.
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Affiliation(s)
- Denis Jacquemin
- Laboratoire
CEISAM - UMR CNR 6230, Université
de Nantes, 2 Rue de la
Houssinière, BP 92208, 44322 Nantes Cedex 3, France
- Institut
Universitaire de France, 103 bd St. Michel, 75005 Paris Cedex 5, France
| | - Ivan Duchemin
- INAC,
SP2M/L_Sim, CEA/UJF Cedex 09, Université
Grenoble Alpes, 38054 Grenoble, France
| | - Xavier Blase
- CNRS,
Inst NEEL, F-38042 Grenoble, France
- Institut
NEEL, Université Grenoble Alpes, F-38042 Grenoble, France
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100
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Sauer SP, Pitzner-Frydendahl HF, Buse M, Jensen HJA, Thiel W. Performance of SOPPA-based methods in the calculation of vertical excitation energies and oscillator strengths. Mol Phys 2015. [DOI: 10.1080/00268976.2015.1048320] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Stephan P.A. Sauer
- Department of Chemistry, University of Copenhagen, Copenhagen Ø, Denmark
| | | | - Mogens Buse
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark, Odense M, Denmark
| | - Hans Jørgen Aa. Jensen
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark, Odense M, Denmark
| | - Walter Thiel
- Max-Planck-Institut für Kohlenforschung, Mülheim an der Ruhr, Germany
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