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Van Haeften A, Ash C, Worth G. Propagating multi-dimensional density operators using the multi-layer-ρ multi-configurational time-dependent Hartree method. J Chem Phys 2023; 159:194114. [PMID: 37982483 DOI: 10.1063/5.0172956] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/19/2023] [Accepted: 10/19/2023] [Indexed: 11/21/2023] Open
Abstract
Solving the Liouville-von-Neumann equation using a density operator provides a more complete picture of dynamical quantum phenomena than by using a wavepacket and solving the Schrödinger equation. As density operators are not restricted to the description of pure states, they can treat both thermalized and open systems. In practice, however, they are rarely used to study molecular systems as the computational resources required are even more prohibitive than those needed for wavepacket dynamics. In this paper, we demonstrate the potential utility of a scheme based on the powerful multi-layer multi-configurational time-dependent Hartree algorithm for propagating multi-dimensional density operators. Studies of two systems using this method are presented at a range of temperatures and including up to 13 degrees of freedom. The first case is single proton transfer in salicylaldimine, while the second is double proton transfer in porphycene. A comparison is also made with the approach of using stochastic wavepackets.
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Affiliation(s)
- Alice Van Haeften
- Department of Chemistry, University College London, London WC1H 0AJ, UK
| | - Ceridwen Ash
- Department of Chemistry, University College London, London WC1H 0AJ, UK
| | - Graham Worth
- Department of Chemistry, University College London, London WC1H 0AJ, UK
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2
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Transition dipole moment change through proton transfer in 2-mercapto-6-phenylpyridine-3-carbonitrile, computational chemistry study. Theor Chem Acc 2021. [DOI: 10.1007/s00214-021-02817-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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3
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Kasprzycki P, Kopycki P, Listkowski A, Gorski A, Radzewicz C, Birch DJS, Waluk J, Fita P. Influence of local microenvironment on the double hydrogen transfer in porphycene. Phys Chem Chem Phys 2020; 22:17117-17128. [PMID: 32687131 DOI: 10.1039/d0cp02687e] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We performed time-resolved transient absorption and fluorescence anisotropy measurements in order to study tautomerization of porphycene in rigid polymer matrices at cryogenic temperatures. Studies were carried out in poly(methyl methacrylate) (PMMA), poly(vinyl butyral) (PVB), and poly(vinyl alcohol) (PVA). The results prove that in all studied media hydrogen tunnelling plays a significant role in the double hydrogen transfer which becomes very sensitive to properties of the environment below approx. 150 K. We also demonstrate that there exist two populations of porphycene molecules in rigid media: "hydrogen-transferring" molecules, in which tautomerization occurs on time scales below 1 ns and "frozen" molecules in which double hydrogen transfer is too slow to be monitored with nanosecond techniques. The number of "frozen" molecules increases when the sample is cooled. We explain this effect by interactions of guest molecules with a rigid host matrix which disturbs symmetry of porphycene and hinders tunnelling. Temperature dependence of the number of hydrogen-transferring molecules suggests that the factor which restores the symmetry of the double-minimum potential well in porphycene are intermolecular vibrations localized in separated regions of the amorphous polymer.
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Affiliation(s)
- Piotr Kasprzycki
- Institute of Experimental Physics, Faculty of Physics, University of Warsaw, Pasteura 5, 02-093 Warsaw, Poland. and Institute of Physical Chemistry, Polish Academy of Sciences, 44/52 Kasprzaka, Warsaw 01-224, Poland.
| | - Przemysław Kopycki
- Institute of Experimental Physics, Faculty of Physics, University of Warsaw, Pasteura 5, 02-093 Warsaw, Poland.
| | - Arkadiusz Listkowski
- Institute of Physical Chemistry, Polish Academy of Sciences, 44/52 Kasprzaka, Warsaw 01-224, Poland. and Faculty of Mathematics and Science, Cardinal Stefan Wyszyński University, Dewajtis 5, 01-815 Warsaw, Poland
| | - Aleksander Gorski
- Institute of Physical Chemistry, Polish Academy of Sciences, 44/52 Kasprzaka, Warsaw 01-224, Poland.
| | - Czesław Radzewicz
- Institute of Experimental Physics, Faculty of Physics, University of Warsaw, Pasteura 5, 02-093 Warsaw, Poland.
| | - David J S Birch
- Photophysics Group, Centre for Molecular Nanometrology, Department of Physics, Scottish Universities Physics Alliance, University of Strathclyde, 107 Rottenrow East, Glasgow G4 0NG, UK
| | - Jacek Waluk
- Institute of Physical Chemistry, Polish Academy of Sciences, 44/52 Kasprzaka, Warsaw 01-224, Poland. and Faculty of Mathematics and Science, Cardinal Stefan Wyszyński University, Dewajtis 5, 01-815 Warsaw, Poland
| | - Piotr Fita
- Institute of Experimental Physics, Faculty of Physics, University of Warsaw, Pasteura 5, 02-093 Warsaw, Poland.
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4
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Albareda G, Riera A, González M, Bofill JM, Moreira IDPR, Valero R, Tavernelli I. Quantum equilibration of the double-proton transfer in a model system porphine. Phys Chem Chem Phys 2020; 22:22332-22341. [DOI: 10.1039/d0cp02991b] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The equilibration of the double proton transfer in porphine is demonstrated using a model system Hamiltonian. This highly coherent process could be witnessed experimentally using state-of-the-art femtosecond spectroscopy.
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Affiliation(s)
- Guillermo Albareda
- Max Planck Institute for the Structure and Dynamics of Matter and Center for Free-Electron Laser Science
- 22761 Hamburg
- Germany
- Institute of Theoretical and Computational Chemistry
- Universitat de Barcelona
| | - Arnau Riera
- ICFO-Institut de Ciències Fotòniques
- The Barcelona Institute of Science and Technology
- Castelldefels (Barcelona)
- Spain
| | - Miguel González
- Institute of Theoretical and Computational Chemistry
- Universitat de Barcelona
- 08028 Barcelona
- Spain
- Departament de Ciència de Materials i Química Física
| | - Josep Maria Bofill
- Institute of Theoretical and Computational Chemistry
- Universitat de Barcelona
- 08028 Barcelona
- Spain
- Departament de Química Inorgànica i Orgànica
| | - Iberio de P. R. Moreira
- Institute of Theoretical and Computational Chemistry
- Universitat de Barcelona
- 08028 Barcelona
- Spain
- Departament de Ciència de Materials i Química Física
| | - Rosendo Valero
- Institute of Theoretical and Computational Chemistry
- Universitat de Barcelona
- 08028 Barcelona
- Spain
- Departament de Ciència de Materials i Química Física
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5
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Smedarchina Z, Siebrand W, Fernández-Ramos A. Entanglement and co-tunneling of two equivalent protons in hydrogen bond pairs. J Chem Phys 2018; 148:102307. [DOI: 10.1063/1.5000681] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Zorka Smedarchina
- Centro Singular de Investigación en Química Biolóxica e Materiais Moleculares (CIQUS), e Departamento de Química Física, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain
- National Research Council of Canada, Ottawa, Ontario K1A 0R6 Canada
| | - Willem Siebrand
- National Research Council of Canada, Ottawa, Ontario K1A 0R6 Canada
| | - Antonio Fernández-Ramos
- Centro Singular de Investigación en Química Biolóxica e Materiais Moleculares (CIQUS), e Departamento de Química Física, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain
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6
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Abstract
Tautomerization in porphycenes, constitutional isomers of porphyrins, is strongly entangled with spectral and photophysical parameters. The intramolecular double hydrogen transfer occurring in the ground and electronically excited states leads to uncommon spectroscopic characteristics, such as depolarized emission, viscosity-dependent radiationless depopulation, and vibrational-mode-specific tunneling splittings. This review starts with documentation of the electronic spectra of porphycenes: Absorption and magnetic circular dichroism are discussed, together with their analysis based on the perimeter model. Next, photophysical characteristics are presented, setting the stage for the final part, which discusses the developments in research on tautomerism. Porphycenes have been studied in different experimental regimes: molecules in condensed phases, isolated in supersonic jets and helium nanodroplets, and, recently also on the level of single molecules investigated by optical and scanning probe microscopies. Because of the rich and detailed information obtained from these diverse investigations, porphycenes emerge as very good models for studying the complex, multidimensional phenomena involved in the process of intramolecular double hydrogen transfer.
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Affiliation(s)
- Jacek Waluk
- Institute of Physical Chemistry, Polish Academy of Sciences , 01-224 Warsaw, Kasprzaka 44/52, Poland.,Faculty of Mathematics and Science, Cardinal Stefan Wyszyński University , Dewajtis 5, 01-815 Warsaw, Poland
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7
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Ciąćka P, Fita P, Listkowski A, Radzewicz C, Waluk J. Evidence for Dominant Role of Tunneling in Condensed Phases and at High Temperatures: Double Hydrogen Transfer in Porphycenes. J Phys Chem Lett 2016; 7:283-288. [PMID: 26727277 DOI: 10.1021/acs.jpclett.5b02482] [Citation(s) in RCA: 34] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
Investigation of the double hydrogen transfer in porphycene, its 2,7,12,17-tetra-tert-butyl derivative, and their N-deuterated isotopologues revealed the dominant role of tunneling, even at room temperature in condensed phase. Ultrafast optical spectroscopy with polarized light employed in a wide range of temperatures allowed the identification and evaluation of contributions of two tunneling modes: vibrational ground-state tunneling, occurring from the zero vibrational level, and vibrationally activated, via a large amplitude, low-frequency mode. Good correspondence was found between the rates of incoherent tunneling occurring in condensed phase and the values estimated on the basis of tunneling splittings observed in molecules isolated in supersonic jets or helium nanodroplets. The results provide solid experimental insight into widely proposed quantum facets of ubiquitous hydrogen-transfer phenomena.
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Affiliation(s)
- Piotr Ciąćka
- Institute of Experimental Physics, Faculty of Physics, University of Warsaw , Pasteura 5, 02-093 Warsaw, Poland
| | - Piotr Fita
- Institute of Experimental Physics, Faculty of Physics, University of Warsaw , Pasteura 5, 02-093 Warsaw, Poland
| | - Arkadiusz Listkowski
- Institute of Physical Chemistry, Polish Academy of Sciences , Kasprzaka 44/52, 01-224 Warsaw, Poland
- Faculty of Mathematics and Natural Sciences, College of Science, Cardinal Stefan Wyszyński University , Dewajtis 5, 01-815 Warsaw, Poland
| | - Czesław Radzewicz
- Institute of Experimental Physics, Faculty of Physics, University of Warsaw , Pasteura 5, 02-093 Warsaw, Poland
| | - Jacek Waluk
- Institute of Physical Chemistry, Polish Academy of Sciences , Kasprzaka 44/52, 01-224 Warsaw, Poland
- Faculty of Mathematics and Natural Sciences, College of Science, Cardinal Stefan Wyszyński University , Dewajtis 5, 01-815 Warsaw, Poland
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8
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El-Amry A, Elroby SA, Kühn O, Hilal RH. Toward understanding tautomeric switching in hydroxynaphthaldehydes: Characterization of electronic absorption spectra. JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY 2015. [DOI: 10.1142/s0219633615500339] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
Long-wavelength electronic absorption spectra of 4-hydroxy-1-naphthaldehyde, its dimer complexes, and 4-hydroxy-3-(piperidine-1-ylmethyl)-1-naphthaldehyde are investigated using time-dependent density functional theory with the TPSSh functional within a continuum solvation model. The results are correlated to recent experimental findings on solvent-, pH- and concentration-dependent absorption. It is confirmed that with decreasing wavelength the spectrum is dominated by the deprotonated (360 nm–400 nm), the dimer (340 nm–370 nm) and the monomer (< 280 nm) species. The potential use of hydroxynaphthaldehydes for the design of tautomeric switches is discussed.
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Affiliation(s)
- Aeshah El-Amry
- Chemistry Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
- Chemistry Department, Faculty of Science, Dammam University, Dammam, Saudi Arabia
| | - Shaaban A. Elroby
- Chemistry Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
- Chemistry Department, Faculty of Science, Beni Suef University, Beni Suef, Egypt
| | - Oliver Kühn
- Institute of Physics, University of Rostock, D-18051 Rostock, Germany
| | - Rifaat H. Hilal
- Chemistry Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
- Chemistry Department, Faculty of Science, Cairo University, Cairo, Egypt
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9
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Ciąćka P, Fita P, Listkowski A, Kijak M, Nonell S, Kuzuhara D, Yamada H, Radzewicz C, Waluk J. Tautomerism in Porphycenes: Analysis of Rate-Affecting Factors. J Phys Chem B 2014; 119:2292-301. [DOI: 10.1021/jp506150r] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022]
Affiliation(s)
- Piotr Ciąćka
- Institute
of Experimental Physics, Faculty of Physics, University of Warsaw, Hoża 69, 00-681 Warsaw, Poland
| | - Piotr Fita
- Institute
of Experimental Physics, Faculty of Physics, University of Warsaw, Hoża 69, 00-681 Warsaw, Poland
| | - Arkadiusz Listkowski
- Institute
of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland
| | - Michał Kijak
- Institute
of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland
| | - Santi Nonell
- Molecular
Engineering Group, Institut Químic de Sarrià, Universitat Ramon Llull, Via Augusta 390, E-08017 Barcelona, Spain
| | - Daiki Kuzuhara
- Graduate
School of Material Science, Nara Institute of Science and Technology, 8916-5 Takayama-cho, Ikoma 630-0192, Japan
| | - Hiroko Yamada
- Graduate
School of Material Science, Nara Institute of Science and Technology, 8916-5 Takayama-cho, Ikoma 630-0192, Japan
| | - Czesław Radzewicz
- Institute
of Experimental Physics, Faculty of Physics, University of Warsaw, Hoża 69, 00-681 Warsaw, Poland
- Institute
of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland
| | - Jacek Waluk
- Institute
of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland
- Faculty
of Mathematics and Natural Sciences, College of Science, Cardinal Stefan Wyszyński University, Dewajtis 5, 01-815 Warsaw, Poland
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10
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Taneda M, Tanaka A, Shimakoshi H, Ikegami A, Hashimoto K, Abe M, Hisaeda Y. Synthesis and characterizations of meso-disubstituted asymmetric porphycenes. Tetrahedron Lett 2013. [DOI: 10.1016/j.tetlet.2013.08.026] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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11
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Fita P, Ciacka P, Czerski I, Pietraszkiewicz M, Radzewicz C, Waluk J. Double Hydrogen Transfer in Low Symmetry Porphycenes. ACTA ACUST UNITED AC 2013. [DOI: 10.1524/zpch.2013.0372] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
Abstract
Abstract
The rate constants of intramolecular double hydrogen transfer have been determined for of tert-butyl-substituted porphycenes: 2-tert-butyl-, 2,7-di-tert-butyl-, 2,7,12-tri-tert-butyl-, and 2,7,12,17-tetra-tert-butylporphycene using femtosecond pump-probe polarization spectroscopy. The rates increase monotonically with the number of substituents. As is the case for other porphycenes studied so far, the tautomerization becomes slower after excitation to the lowest excited singlet state. The potential for the trans-trans self-exchange reaction is symmetrical in di- and tetra-tert-butyl substituted derivatives, but not for the singly and triply substituted ones. Our studies enabled determination of the relative populations of nonequivalent tautomers and thus of the equilibrium constants in S0 and S1 states, as well as estimation of ground and excited state activation energies for the tautomerization process.
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Affiliation(s)
- Piotr Fita
- University of Warsaw, Faculty of Physics, Warsaw, Polen
| | - Piotr Ciacka
- University of Warsaw, Faculty of Physics, Warsaw, Polen
| | - Igor Czerski
- Polish Academy of Sciences, Institute of physical Chemistry, Warsaw, Polen
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12
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Fita P, Pszona M, Orzanowska G, Sánchez-García D, Nonell S, Vauthey E, Waluk J. Tautomerization in 2,7,12,17-Tetraphenylporphycene and 9-Amino-2,7,12,17-tetraphenylporphycene: Influence of Asymmetry on the Direction of the Transition Moment. Chemistry 2012; 18:13160-7. [DOI: 10.1002/chem.201201432] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/25/2012] [Revised: 06/27/2012] [Indexed: 11/05/2022]
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13
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Czerski I, Listkowski A, Nawrocki J, Urbańska N, Piwoński H, Sokołowski A, Pietraszkiewicz O, Pietraszkiewicz M, Waluk J. The long and winding road to new porphycenes. J PORPHYR PHTHALOCYA 2012. [DOI: 10.1142/s1088424612500733] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
We describe attempts — not always successful — made over the years to improve the efficiency of porphycene synthesis and to produce novel compounds, custom-designed for specific purposes. New porphycenes are reported, some of them obtained rather unexpectedly as by-products of the planned reactions. Structure and energy computations of possible tautomeric forms in porphycenes substituted by one, two, three, and four tert-butyl groups lead to predictions regarding the kinetics and mechanisms of intramolecular double hydrogen transfer. The occurrence of tautomerization in single molecules of tert-butylsubstituted porphycenes is demonstrated by using fluorescence polarization techniques.
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Affiliation(s)
- Igor Czerski
- Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland
| | - Arkadiusz Listkowski
- Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland
- Faculty of Mathematics and Natural Sciences, College of Science, Cardinal Stefan Wyszyński University, Dewajtis 5, Warsaw 01-815, Poland
| | - Jan Nawrocki
- Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland
| | - Natalia Urbańska
- Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland
| | - Hubert Piwoński
- Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland
| | - Adam Sokołowski
- Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland
| | - Oksana Pietraszkiewicz
- Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland
| | - Marek Pietraszkiewicz
- Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland
| | - Jacek Waluk
- Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland
- Faculty of Mathematics and Natural Sciences, College of Science, Cardinal Stefan Wyszyński University, Dewajtis 5, Warsaw 01-815, Poland
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14
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Gawinkowski S, Walewski Ł, Vdovin A, Slenczka A, Rols S, Johnson MR, Lesyng B, Waluk J. Vibrations and hydrogen bonding in porphycene. Phys Chem Chem Phys 2012; 14:5489-503. [DOI: 10.1039/c2cp24098j] [Citation(s) in RCA: 39] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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15
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Duran-Frigola M, Tejedor-Estrada R, Sánchez-García D, Nonell S. Dual fluorescence in 9-amino-2,7,12,17-tetraphenylporphycene. Phys Chem Chem Phys 2011; 13:10326-32. [PMID: 21523274 DOI: 10.1039/c0cp02654a] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The absorption spectrum of the asymmetric 9-amino-2,7,12,17-tetraphenylporphycene shows new, strongly red-shifted bands compared to the symmetric parental 2,7,12,17-tetraphenylporphycene and to the also asymmetric 9-acetoxy-2,7,12,17-tetraphenylporphycene. Dual emission is also observed with relative contributions that depend strongly on the excitation wavelength and temperature. The gap between the two fluorescence bands is 84 nm. Tautomerization in both the ground and excited states is shown to account for these observations, the 9-amino group being particularly able to selectively lower the energy of the first excited singlet state of just one of the trans tautomers. Introduction of amino groups in porphycenes may be a convenient way to gain a deeper insight into the tautomerization mechanisms in this macrocyclic core.
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Affiliation(s)
- Miquel Duran-Frigola
- Grup d'Enginyeria Molecular, Institut Químic de Sarrià, Universitat Ramon Llull, Via Augusta 390, E-08017, Barcelona, Spain
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