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de Wergifosse M, Beaujean P, Grimme S. Ultrafast Evaluation of Two-Photon Absorption with Simplified Time-Dependent Density Functional Theory. J Phys Chem A 2022; 126:7534-7547. [PMID: 36201255 DOI: 10.1021/acs.jpca.2c02395] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
This work presents the theoretical background to evaluate two-photon absorption (2PA) cross-sections in the framework of simplified time-dependent density functional theory (sTD-DFT). Our new implementation allows the ultrafast evaluation of 2PA cross-sections for large molecules based on a regular DFT ground-state determinant as well as a variant employing our tight-binding sTD-DFT-xTX flavor for very large systems. The method is benchmarked against higher-level calculations for trans-stilbene and typical fluorescent protein chromophores. For eGFP, a quadrupolar chromophore and its branched version, the flavine mono-nucleotide, and the iLOV protein, we compare sTD-DFT 2PA spectra to experimental ones. This includes extension and testing of our all-atom quantum chemistry methodology for the evaluation of 2PA for a system of ∼2000 atoms, providing striking agreement with the experimental spectrum.
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Affiliation(s)
- Marc de Wergifosse
- Mulliken Center for Theoretical Chemistry, Institut für Physikalische und Theoretische Chemie der Universität Bonn, Beringstr. 4, D-53115Bonn, Germany
| | - Pierre Beaujean
- Laboratory of Theoretical Chemistry, Unit of Theoretical and Structural Physical Chemistry, Namur Institute of Structured Matter, University of Namur, Rue de Bruxelles 61, B-5000Namur, Belgium
| | - Stefan Grimme
- Mulliken Center for Theoretical Chemistry, Institut für Physikalische und Theoretische Chemie der Universität Bonn, Beringstr. 4, D-53115Bonn, Germany
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2
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Day PN, Pachter R, Nguyen KA. Calculated linear and nonlinear optical absorption spectra of phosphine-ligated gold clusters. Phys Chem Chem Phys 2022; 24:11234-11248. [DOI: 10.1039/d2cp01232d] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Although prediction of optical excitations of ligated gold clusters by time-dependent density functional theory (TDDFT) is relatively well-established, limitations still exist, for example in the choice of the exchange-correlation functional....
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Drzewiecka-Matuszek A, Rutkowska-Zbik D. Application of TD-DFT Theory to Studying Porphyrinoid-Based Photosensitizers for Photodynamic Therapy: A Review. Molecules 2021; 26:7176. [PMID: 34885763 PMCID: PMC8658767 DOI: 10.3390/molecules26237176] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/28/2021] [Revised: 11/23/2021] [Accepted: 11/24/2021] [Indexed: 11/30/2022] Open
Abstract
An important focus for innovation in photodynamic therapy (PDT) is theoretical investigations. They employ mostly methods based on Time-Dependent Density Functional Theory (TD-DFT) to study the photochemical properties of photosensitizers. In the current article we review the existing state-of-the-art TD-DFT methods (and beyond) which are employed to study the properties of porphyrinoid-based systems. The review is organized in such a way that each paragraph is devoted to a separate aspect of the PDT mechanism, e.g., correct prediction of the absorption spectra, determination of the singlet-triplet intersystem crossing, and interaction with molecular oxygen. Aspects of the calculation schemes are discussed, such as the choice of the most suitable functional and inclusion of a solvent. Finally, quantitative structure-activity relationship (QSAR) methods used to explore the photochemistry of porphyrinoid-based systems are discussed.
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Affiliation(s)
| | - Dorota Rutkowska-Zbik
- Jerzy Haber Institute of Catalysis and Surface Chemistry Polish Academy of Sciences, Niezapominajek 8, 30-239 Krakow, Poland;
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Abstract
A family of push-pull quinoidal porphyrin monomers has been prepared from a meso-formyl porphyrin by bromination, thioacetal formation, palladium-catalyzed coupling with malononitrile and oxidation with DDQ. Attempts at extending this synthesis to a push-pull quinoidal/cumulenic porphyrin dimer were not successful. The crystal structures of the quinoidal porphyrins indicate that there is no significant contribution from singlet biradical or zwitterionic resonance forms. The crystal structure of an ethyne-linked porphyrin dimer shows that the torsion angle between the porphyrin units is only about 3°, in keeping with crystallographic results on related compounds, but contrasting with the torsion angle of about 35° predicted by computational studies. The free-base quinoidal porphyrin monomers form tightly π-stacked layer structures, despite their curved geometries and bulky aryl substituents.
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Affiliation(s)
- Martin J Smith
- Department of Chemistry, University of Oxford, Chemistry Research Laboratory, Oxford OX1 3TA, UK.
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5
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Affiliation(s)
- Renée Haver
- Department of ChemistryUniversity of Oxford, Chemistry Research Laboratory Oxford OX1 3TA
| | - Harry L. Anderson
- Department of ChemistryUniversity of Oxford, Chemistry Research Laboratory Oxford OX1 3TA
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Esipova TV, Rivera-Jacquez HJ, Weber B, Masunov AE, Vinogradov SA. Two-Photon Absorbing Phosphorescent Metalloporphyrins: Effects of π-Extension and Peripheral Substitution. J Am Chem Soc 2016; 138:15648-15662. [PMID: 27934026 PMCID: PMC8281454 DOI: 10.1021/jacs.6b09157] [Citation(s) in RCA: 45] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
Abstract
The ability to form triplet excited states upon two-photon excitation is important for several applications of metalloporphyrins, including two-photon phosphorescence lifetime microscopy (2PLM) and two-photon photodynamic therapy (PDT). Here we analyzed one-photon (1P) and degenerate two-photon (2P) absorption properties of several phosphorescent Pt (II) porphyrins, focusing on the effects of aromatic π-extension and peripheral substitution on triplet emissivity and two-photon absorption (2PA). Our 2PA measurements for the first time made use of direct time-resolved detection of phosphorescence, having the ability to efficiently reject laser background through microsecond time gating. π-Extension of the porphyrin macrocycle by way of syn-fusion with two external aromatic fragments, such as in syn-dibenzo- (DBP) and syn-dinaphthoporphyrins (DNP), lowers the symmetry of the porphyrin skeleton. As a result, DBPs and DNPs exhibit stronger 2PA into the one-photon-allowed B (Soret) and Q states than fully symmetric (D4h) nonextended porphyrins. However, much more 2P-active states lie above the B state and cannot be accessed due to the interfering linear absorption. Alkoxycarbonyl groups (CO2R) in the benzo-rings dramatically enhance 2PA near the B state level. Time-dependent density functional theory (TDDFT) calculations in combinations with the sum-over-states (SOS) formalism revealed that the enhancement is due to the stabilization of higher-lying 2P-active states, which are dominated by the excitations involving orbitals extending onto the carbonyl groups. Furthermore, calculations predicted even stronger stabilization of the 2P-allowed gerade-states in symmetric Pt octaalkoxycarbonyl-tetrabenzoporphyrins. Experiments confirmed that the 2PA cross-section of PtTBP(CO2Bu)8 near 810 nm reaches above 500 GM in spite of its completely centrosymmetric structure. Combined with exceptionally bright phosphorescence (ϕphos = 0.45), strong 2PA makes Pt(II) complexes of π-extended porphyrins a valuable class of chromophores for 2P applications. Another important advantage of these porphyrinoids is their compact size and easily scalable synthesis.
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Affiliation(s)
| | - Héctor J Rivera-Jacquez
- NanoScience Technology Center, Department of Chemistry and Department of Physics, University of Central Florida , Orlando, Florida 32816, United States
| | - Bruno Weber
- Institute of Pharmacology and Toxicology, University of Zurich , Zurich CH-8057, Switzerland
| | - Artëm E Masunov
- NanoScience Technology Center, Department of Chemistry and Department of Physics, University of Central Florida , Orlando, Florida 32816, United States
- Photochemistry Center, Russian Academy of Sciences , ul. Novatorov 7a, Moscow 119421, Russia
- South Ural State University , Lenin pr. 76, Chelyabinsk 454080, Russia
- National Nuclear Research University MEPhI , Kashirskoye sh. 31, Moscow 115409, Russia
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Fransson T, Saue T, Norman P. Four-Component Damped Density Functional Response Theory Study of UV/Vis Absorption Spectra and Phosphorescence Parameters of Group 12 Metal-Substituted Porphyrins. J Chem Theory Comput 2016; 12:2324-34. [DOI: 10.1021/acs.jctc.6b00030] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Thomas Fransson
- Department
of Physics, Chemistry and Biology, Linköping University, SE-581 83 Linköping, Sweden
| | - Trond Saue
- Laboratoire
de Chimie et Physique Quantiques, UMR 5626, CNRS — Université Toulouse III-Paul Sabatier, 118 route de Narbonne, F-31062 Toulouse, France
| | - Patrick Norman
- Department
of Physics, Chemistry and Biology, Linköping University, SE-581 83 Linköping, Sweden
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Andrianov DS, Levitskiy OA, Rybakov VB, Magdesieva TV, Cheprakov AV. Metal complexes of diaryltetrabenzodiazaporphyrins. ChemistrySelect 2016. [DOI: 10.1002/slct.201600118] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Affiliation(s)
| | - Oleg A. Levitskiy
- Department of Chemistry; Moscow State University; 11999 Moscow Russia
| | - Victor B. Rybakov
- Department of Chemistry; Moscow State University; 11999 Moscow Russia
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Alam MM, Daniel C. One- and two-photon activity of diketopyrrolopyrrole-Zn-porphyrin conjugates: linear and quadratic density functional response theory applied to model systems. Theor Chem Acc 2016. [DOI: 10.1007/s00214-015-1780-x] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
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Day PN, Pachter R, Nguyen KA, Bigioni TP. Linear and Nonlinear Optical Response in Silver Nanoclusters: Insight from a Computational Investigation. J Phys Chem A 2016; 120:507-18. [DOI: 10.1021/acs.jpca.5b09623] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023]
Affiliation(s)
- Paul N. Day
- Air Force Research Laboratory, Materials and
Manufacturing Directorate Wright-Patterson Air Force Base, Ohio 45433, United States
- General Dynamics Information Technology, Inc, Dayton Ohio 45431, United States
| | - Ruth Pachter
- Air Force Research Laboratory, Materials and
Manufacturing Directorate Wright-Patterson Air Force Base, Ohio 45433, United States
| | - Kiet A. Nguyen
- Air Force Research Laboratory, Materials and
Manufacturing Directorate Wright-Patterson Air Force Base, Ohio 45433, United States
- UES, Inc, Dayton Ohio 45432, United States
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Harper SR, Pfrunder MC, Esdaile LJ, Jensen P, McMurtrie JC, Arnold DP. Synthetic, Structural, and Spectroscopic Studies of Bis(porphyrinzinc) Complexes Linked by Two-Atom Conjugating Bridges. European J Org Chem 2015. [DOI: 10.1002/ejoc.201500183] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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Rintoul L, Harper SR, Arnold DP. A systematic theoretical study of the electronic structures of porphyrin dimers: DFT and TD-DFT calculations on diporphyrins linked by ethane, ethene, ethyne, imine, and azo bridges. Phys Chem Chem Phys 2014; 15:18951-64. [PMID: 24097279 DOI: 10.1039/c3cp53396d] [Citation(s) in RCA: 33] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023]
Abstract
Theoretical calculations of the geometries, electronic structures and electronic absorption spectra of a series of covalently-linked porphyrin dimers are reported. The diporphyrins comprise 5,10,15-triphenylporphyrinatozinc(II) (ZnTriPP) units linked through the meso carbons by two-atom bridges, namely 1,2-ethanediyl (1), trans-1,2-ethenediyl (2), ethynediyl (3), 1,2-iminomethenediyl (4), and transdiazenediyl (5). The structures were optimised in toluene solvent by Density Functional Theory (DFT), using the integral equation formalism variant of the polarizable continuum model. The calculations were performed using the B3LYP functional and the 6-31G(d,p) basis set. The complete molecules were modelled, with no substitution of smaller groups on the periphery. In parallel, the compounds 2–5 were prepared by known or novel synthetic routes, to enable comparisons of experimental electronic absorption spectra with those calculated using time dependent-DFT at the same level of theory. As the ethane dimer 1 is not yet synthetically accessible, the model monomer meso-2-phenylethylZnTriPP was used for comparisons with the theoretical predictions. The results form a self-consistent set, enabling for the first time legitimate comparisons of the electronic structures of the series, especially regarding the degree to which the porphyrin p-systems interact by conjugation across the bridges. The theoretical calculations of the electronic transitions match the observed spectra in toluene to a remarkable degree, especially with respect to the peak maximum of the Q band, which represents to a large degree the energy of the HOMO–LUMO transition. The imine 4 is intrinsically polar due to the asymmetric bridge, and the HOMO is located almost exclusively on the ZnTriPP unit attached to the nitrogen of the imine, and the LUMO on the C-attached ring. Thus the Q-band transition is mapped as a comprehensive charge-transfer from the former ring to the latter. This may have consequences for the non-linear optical properties of the system. The azoporphyrin 5 exhibits the largest splittings between the interacting MOs via the conjugated bridge, vindicating a prediction by Anderson and co-workers in 2002, and confirmed experimentally by our synthesis of 5. The collected results also indicate that this level of theory is more thanadequate as a model with which to handle these large delocalised molecules.
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Affiliation(s)
- Llew Rintoul
- School of Chemistry, Physics and Mechanical Engineering, Queensland University of Technology, GPO Box 2434, Brisbane, 4001, Australia.
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13
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Zhang Q, Li L, Zhang M, Liu Z, Wu J, Zhou H, Yang J, Zhang S, Tian Y. Nonlinear optical response and biological applications of a series of pyrimidine-based molecules for copper(ii) ion probe. Dalton Trans 2013; 42:8848-53. [DOI: 10.1039/c3dt50582k] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023]
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14
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Gao W, Feng H, Xuan X, Chen L. The assessment and application of an approach to noncovalent interactions: the energy decomposition analysis (EDA) in combination with DFT of revised dispersion correction (DFT-D3) with Slater-type orbital (STO) basis set. J Mol Model 2012; 18:4577-89. [PMID: 22643965 DOI: 10.1007/s00894-012-1425-0] [Citation(s) in RCA: 39] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/01/2012] [Accepted: 04/03/2012] [Indexed: 11/28/2022]
Abstract
An assessment study is presented about energy decomposition analysis (EDA) in combination with DFT including revised dispersion correction (DFT-D3) with Slater-type orbital (STO) basis set. There has been little knowledge about the performance of the EDA + DFT-D3 concerning STOs. In this assessment such an approach was applied to calculate noncovalent interaction energies and their corresponding components. Complexes in S22 set were used to evaluate the performance of EDA in conjunction with four representative types of GGA-functionals of DFT-D3 (BP86-D3, BLYP-D3, PBE-D3 and SSB-D3) with three STO basis sets ranging in complexity from DZP, TZ2P to QZ4P. The results showed that the approach of EDA + BLYP-D3/TZ2P has a better performance not only in terms of calculating noncovalent interaction energy quantitatively but also in analyzing corresponding energy components qualitatively. This approach (EDA + BLYP-D3/TZ2P) was thus applied further to two representative large-system complexes including porphine dimers and fullerene aggregates to gain a better insight into binding characteristics.
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Affiliation(s)
- Wei Gao
- KLGHEI of Environment and Energy Chemistry, School of Chemistry and Chemical Engineering, Sun Yat-sen University, Guangzhou 510275, China
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15
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Tuned CAM-B3LYP functional in the time-dependent density functional theory scheme for excitation energies and properties of diarylethene derivatives. J Photochem Photobiol A Chem 2012. [DOI: 10.1016/j.jphotochem.2012.03.003] [Citation(s) in RCA: 66] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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Wong BM, Ye SH, O'Bryan G. Reversible, opto-mechanically induced spin-switching in a nanoribbon-spiropyran hybrid material. NANOSCALE 2012; 4:1321-1327. [PMID: 22228399 DOI: 10.1039/c2nr11543c] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
It has recently been shown that electronic transport in zigzag graphene nanoribbons becomes spin-polarized upon application of an electric field across the nanoribbon width. However, the electric fields required to experimentally induce this magnetic state are typically large and difficult to apply in practice. Here, using both first-principles density functional theory (DFT) and time-dependent DFT, we show that a new spiropyran-based, mechanochromic polymer noncovalently deposited on a nanoribbon can collectively function as a dual opto-mechanical switch for modulating its own spin-polarization. These calculations demonstrate that upon mechanical stress or photoabsorption, the spiropyran chromophore isomerizes from a closed-configuration ground-state to a zwitterionic excited-state, resulting in a large change in dipole moment that alters the electrostatic environment of the nanoribbon. We show that the electronic spin-distribution in the nanoribbon-spiropyran hybrid material can be reversibly modulated via noninvasive optical and mechanical stimuli without the need for large external electric fields. Our results suggest that the reversible spintronic properties inherent to the nanoribbon-spiropyran material allow the possibility of using this hybrid structure as a resettable, molecular-logic quantum sensor where opto-mechanical stimuli are used as inputs and the spin-polarized current induced in the nanoribbon substrate is the measured output.
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Affiliation(s)
- Bryan M Wong
- Materials Chemistry Department, Sandia National Laboratories, Livermore, California 94551, USA.
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Hammerer F, Achelle S, Baldeck P, Maillard P, Teulade-Fichou MP. Influence of Carbohydrate Biological Vectors on the Two-Photon Resonance of Porphyrin Oligomers. J Phys Chem A 2011; 115:6503-8. [DOI: 10.1021/jp202436x] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022]
Affiliation(s)
- Fabien Hammerer
- UMR 176 CNRS/Institut Curie, Institut Curie, Bât 110, Centre Universitaire, Université Paris-Sud, F-91405 Orsay, France
- Institut Curie, Section de Recherches, Centre Universitaire, Université Paris-Sud, F-91405 Orsay, France
- GDR CNRS 3049 “Médicament Photoactivable − Photochimiothérapie (PHOTOMED)”, IMRCP, UMR 5623, Université Toulouse 3, F-31062 Toulouse Cedex 9, France
| | - Sylvain Achelle
- UMR 176 CNRS/Institut Curie, Institut Curie, Bât 110, Centre Universitaire, Université Paris-Sud, F-91405 Orsay, France
- Institut Curie, Section de Recherches, Centre Universitaire, Université Paris-Sud, F-91405 Orsay, France
- GDR CNRS 3049 “Médicament Photoactivable − Photochimiothérapie (PHOTOMED)”, IMRCP, UMR 5623, Université Toulouse 3, F-31062 Toulouse Cedex 9, France
| | - Patrice Baldeck
- Laboratoire de Spectrométrie Physique, UMR 5588, Université Joseph Fourier/CNRS, 140 rue de la physique, B.P. 87 38402 Saint Martin d’Hères Cedex, France
| | - Philippe Maillard
- UMR 176 CNRS/Institut Curie, Institut Curie, Bât 110, Centre Universitaire, Université Paris-Sud, F-91405 Orsay, France
- Institut Curie, Section de Recherches, Centre Universitaire, Université Paris-Sud, F-91405 Orsay, France
- GDR CNRS 3049 “Médicament Photoactivable − Photochimiothérapie (PHOTOMED)”, IMRCP, UMR 5623, Université Toulouse 3, F-31062 Toulouse Cedex 9, France
| | - Marie-Paule Teulade-Fichou
- UMR 176 CNRS/Institut Curie, Institut Curie, Bât 110, Centre Universitaire, Université Paris-Sud, F-91405 Orsay, France
- Institut Curie, Section de Recherches, Centre Universitaire, Université Paris-Sud, F-91405 Orsay, France
- GDR CNRS 3049 “Médicament Photoactivable − Photochimiothérapie (PHOTOMED)”, IMRCP, UMR 5623, Université Toulouse 3, F-31062 Toulouse Cedex 9, France
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Wong BM, Hsieh TH. Optoelectronic and Excitonic Properties of Oligoacenes: Substantial Improvements from Range-Separated Time-Dependent Density Functional Theory. J Chem Theory Comput 2010; 6:3704-3712. [PMID: 21170284 PMCID: PMC3002181 DOI: 10.1021/ct100529s] [Citation(s) in RCA: 174] [Impact Index Per Article: 12.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/16/2010] [Indexed: 01/01/2023]
Abstract
The optoelectronic and excitonic properties in a series of linear acenes (naphthalene up to heptacene) are investigated using range-separated methods within time-dependent density functional theory (TDDFT). In these rather simple systems, it is well-known that TDDFT methods using conventional hybrid functionals surprisingly fail in describing the low-lying L(a) and L(b) valence states, resulting in large, growing errors for the L(a) state and an incorrect energetic ordering as a function of molecular size. In this work, we demonstrate that the range-separated formalism largely eliminates both of these errors and also provides a consistent description of excitonic properties in these systems. We further demonstrate that reoptimizing the percentage of Hartree-Fock exchange in conventional hybrids to match wave function-based benchmark calculations still yields serious errors, and a full 100% Hartree-Fock range separation is essential for simultaneously describing both of the L(a) and L(b) transitions. From an analysis of electron-hole transition density matrices, we finally show that conventional hybrid functionals over-delocalize excitons and underestimate quasiparticle energy gaps in the acene systems. The results of our present study emphasize the importance of both a range-separated and asymptotically correct contribution of exchange in TDDFT for investigating optoelectronic and excitonic properties, even for these simple valence excitations.
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Day PN, Nguyen KA, Pachter R. Calculation of One- and Two-Photon Absorption Spectra of Thiolated Gold Nanoclusters using Time-Dependent Density Functional Theory. J Chem Theory Comput 2010; 6:2809-21. [DOI: 10.1021/ct100139t] [Citation(s) in RCA: 43] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022]
Affiliation(s)
- Paul N. Day
- Materials and Manufacturing Directorate, Air Force Research Laboratory, Wright Patterson Air Force Base, Ohio 45433, General Dynamics Information Technology, Inc., 5200 Springfield Street, Dayton, Ohio 45431, and UES, Inc., 4401 Dayton Xenia Road, Dayton, Ohio 45432
| | - Kiet A. Nguyen
- Materials and Manufacturing Directorate, Air Force Research Laboratory, Wright Patterson Air Force Base, Ohio 45433, General Dynamics Information Technology, Inc., 5200 Springfield Street, Dayton, Ohio 45431, and UES, Inc., 4401 Dayton Xenia Road, Dayton, Ohio 45432
| | - Ruth Pachter
- Materials and Manufacturing Directorate, Air Force Research Laboratory, Wright Patterson Air Force Base, Ohio 45433, General Dynamics Information Technology, Inc., 5200 Springfield Street, Dayton, Ohio 45431, and UES, Inc., 4401 Dayton Xenia Road, Dayton, Ohio 45432
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Balanay MP, Kim DH. Structures and excitation energies of Zn–tetraarylporphyrin analogues: A theoretical study. ACTA ACUST UNITED AC 2009. [DOI: 10.1016/j.theochem.2009.06.010] [Citation(s) in RCA: 61] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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21
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Improta R, Ferrante C, Bozio R, Barone V. The polarizability in solution of tetra-phenyl-porphyrin derivatives in their excited electronic states: a PCM/TD-DFT study. Phys Chem Chem Phys 2009; 11:4664-73. [DOI: 10.1039/b902521a] [Citation(s) in RCA: 57] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023]
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