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Mallick S, Zhou Y, Chen X, Tan YN, Meng M, Cao L, Qin Y, He ZC, Cheng T, Zhu GY, Liu CY. A Single Solvating Benzene Molecule Decouples the Mixed-valence Complex through Intermolecular Orbital Interactions. iScience 2022; 25:104365. [PMID: 35620431 PMCID: PMC9126792 DOI: 10.1016/j.isci.2022.104365] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/22/2021] [Revised: 03/10/2022] [Accepted: 05/02/2022] [Indexed: 11/19/2022] Open
Abstract
Characterization of covalency of intermolecular interactions in the van der Waals distance limit remains challenging because the interactions between molecules are weak, dynamic, and not measurable. Herein, we approach this issue in a series of supramolecular mixed-valence (MV) donor(D)-bridge(B)-acceptor(A) systems consisting of two bridged Mo2 units with a C6H6 molecule encapsulated, as characterized by the X-ray crystal structures. Comparative analysis of the intervalence charge transfer spectra in benzene and dichloromethane substantiates the strong electronic decoupling effect of the solvating C6H6 molecule that breaks down the dielectric solvation theory. Ab initio and DFT calculations unravel that the intermolecular orbital overlaps between the complex bridge and the C6H6 molecule alter the electronic states of the D-B-A molecule through intermolecular nuclear dynamics. This work exemplifies that site-specific intermolecular interaction can be exploited to control the chemical property of supramolecular systems and to elucidate the functionalities of side-chains in biological systems. Decoupling mixed-valence complexes by an encapsulated benzene molecule Demonstrating intermolecular orbital interactions in the van der Waals distances Illustrating interplay between intermolecular electronic and nuclear degrees of freedom
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Affiliation(s)
- Suman Mallick
- Department of Chemistry, Jinan University, 601 Huang-Pu Avenue West, Guangzhou 510632, China
| | - Yuli Zhou
- Department of Chemistry, Jinan University, 601 Huang-Pu Avenue West, Guangzhou 510632, China
| | - Xiaoli Chen
- Department of Chemistry, Jinan University, 601 Huang-Pu Avenue West, Guangzhou 510632, China
| | - Ying Ning Tan
- Department of Chemistry, Jinan University, 601 Huang-Pu Avenue West, Guangzhou 510632, China
| | - Miao Meng
- Department of Chemistry, Jinan University, 601 Huang-Pu Avenue West, Guangzhou 510632, China
- Corresponding author
| | - Lijiu Cao
- Department of Chemistry, Jinan University, 601 Huang-Pu Avenue West, Guangzhou 510632, China
| | - Yi Qin
- Department of Chemistry, Jinan University, 601 Huang-Pu Avenue West, Guangzhou 510632, China
| | - Zi Cong He
- Department of Chemistry, Jinan University, 601 Huang-Pu Avenue West, Guangzhou 510632, China
| | - Tao Cheng
- Department of Chemistry, Jinan University, 601 Huang-Pu Avenue West, Guangzhou 510632, China
| | - Guang Yuan Zhu
- Department of Chemistry, Jinan University, 601 Huang-Pu Avenue West, Guangzhou 510632, China
| | - Chun Y. Liu
- Department of Chemistry, Jinan University, 601 Huang-Pu Avenue West, Guangzhou 510632, China
- Corresponding author
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Rumble CA, Vauthey E. Molecular Dynamics Simulations of Bimolecular Electron Transfer: the Distance-Dependent Electronic Coupling. J Phys Chem B 2021; 125:10527-10537. [PMID: 34519508 DOI: 10.1021/acs.jpcb.1c05013] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
Understanding the distance dependence of the parameters underpinning Marcus theory is imperative when interpreting the results of experiments on electron transfer (ET). Unfortunately, most of these parameters are difficult or impossible to access directly with experiments, necessitating the use of computer simulations to model them. In this work, we use molecular dynamics simulations in conjunction with constrained density functional theory calculations to study the distance dependence of the electronic coupling matrix element, |HRP|, for bimolecular ET. Contrary to what is typically assumed for such intermolecular reactions, we find that the magnitude of |HRP| does not decay exponentially with the center-of-mass separation of the reactants, rCOM. The addition of other simple measures of donor/acceptor (D/A) orientation did not improve the correlation of |HRP| with rCOM. Using the minimum distance separation, rmin, of the reactants as the structural descriptor allowed the system to be partitioned into high-coupling/close-contact and low-coupling/non-contact regimes, but large fluctuations of |HRP| were still found for the close-contact reactant pairs. Despite the persistent large fluctuations of |HRP|, its mean value was found to decay piecewise exponentially with increasing rmin, which was attributed to significant changes in the average D/A pair structure. The results herein advise one to use caution when interpreting the experimental results derived from spherical reactant models of bimolecular ET.
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Affiliation(s)
- Christopher A Rumble
- Départment de Chimie Physique, Université de Genève, 30 Quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
| | - Eric Vauthey
- Départment de Chimie Physique, Université de Genève, 30 Quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
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3
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Role of intramolecular hydrogen bonds in promoting electron flow through amino acid and oligopeptide conjugates. Proc Natl Acad Sci U S A 2021; 118:2026462118. [PMID: 33707214 DOI: 10.1073/pnas.2026462118] [Citation(s) in RCA: 11] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022] Open
Abstract
Elucidating the factors that control charge transfer rates in relatively flexible conjugates is of importance for understanding energy flows in biology as well as assisting the design and construction of electronic devices. Here, we report ultrafast electron transfer (ET) and hole transfer (HT) between a corrole (Cor) donor linked to a perylene-diimide (PDI) acceptor by a tetrameric alanine (Ala)4 Selective photoexcitation of the donor and acceptor triggers subpicosecond and picosecond ET and HT. Replacement of the (Ala)4 linker with either a single alanine or phenylalanine does not substantially affect the ET and HT kinetics. We infer that electronic coupling in these reactions is not mediated by tetrapeptide backbone nor by direct donor-acceptor interactions. Employing a combination of NMR, circular dichroism, and computational studies, we show that intramolecular hydrogen bonding brings the donor and the acceptor into proximity in a "scorpion-shaped" molecular architecture, thereby accounting for the unusually high ET and HT rates. Photoinduced charge transfer relies on a (Cor)NH…O=C-NH…O=C(PDI) electronic-coupling pathway involving two pivotal hydrogen bonds and a central amide group as a mediator. Our work provides guidelines for construction of effective donor-acceptor assemblies linked by long flexible bridges as well as insights into structural motifs for mediating ET and HT in proteins.
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Castrogiovanni A, Herr P, Larsen CB, Guo X, Sparr C, Wenger OS. Shortcuts for Electron-Transfer through the Secondary Structure of Helical Oligo-1,2-Naphthylenes. Chemistry 2019; 25:16748-16754. [PMID: 31674695 DOI: 10.1002/chem.201904771] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/18/2019] [Revised: 10/30/2019] [Indexed: 01/24/2023]
Abstract
Atropisomeric 1,2-naphthylene scaffolds provide access to donor-acceptor compounds with helical oligomer-based bridges, and transient absorption studies revealed a highly unusual dependence of the electron-transfer rate on oligomer length, which is due to their well-defined secondary structure. Close noncovalent intramolecular contacts enable shortcuts for electron transfer that would otherwise have to occur over longer distances along covalent pathways, reminiscent of the behavior seen for certain proteins. The simplistic picture of tube-like electron transfer can describe this superposition of different pathways including both the covalent helical backbone, as well as noncovalent contacts, contrasting the wire-like behavior reported many times before for more conventional molecular bridges. The exquisite control over the molecular architecture, achievable with the configurationally stable and topologically defined 1,2-naphthylene-based scaffolds, is of key importance for the tube-like electron transfer behavior. Our insights are relevant for the emerging field of multidimensional electron transfer and for possible future applications in molecular electronics.
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Affiliation(s)
| | - Patrick Herr
- Department of Chemistry, University of Basel, St. Johanns-Ring 19, 4056, Basel, Switzerland
| | - Christopher B Larsen
- Department of Chemistry, University of Basel, St. Johanns-Ring 19, 4056, Basel, Switzerland
| | - Xingwei Guo
- Current address: Center of Basic Molecular Science (CBMS), Department of Chemistry, Tsinghua University, Beijing, 100084, P.R. China
| | - Christof Sparr
- Department of Chemistry, University of Basel, St. Johanns-Ring 19, 4056, Basel, Switzerland
| | - Oliver S Wenger
- Department of Chemistry, University of Basel, St. Johanns-Ring 19, 4056, Basel, Switzerland
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5
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Ma Z, Lin Z, Lawrence CM, Rubtsov IV, Antoniou P, Skourtis SS, Zhang P, Beratan DN. How can infra-red excitation both accelerate and slow charge transfer in the same molecule? Chem Sci 2018; 9:6395-6405. [PMID: 30310568 PMCID: PMC6115705 DOI: 10.1039/c8sc00092a] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/08/2018] [Accepted: 06/26/2018] [Indexed: 11/21/2022] Open
Abstract
A UV-IR-Vis 3-pulse study of infra-red induced changes to electron transfer (ET) rates in a donor-bridge-acceptor species finds that charge-separation rates are slowed, while charge-recombination rates are accelerated as a result of IR excitation during the reaction. We explore the underpinning mechanisms for this behavior, studying IR-induced changes to the donor-acceptor coupling, to the validity of the Condon approximation, and to the reaction coordinate distribution. We find that the dominant IR-induced rate effects in the species studied arise from changes to the density of states in the Marcus curve crossing region. That is, IR perturbation changes the probability of accessing the activated complex for the ET reactions. IR excitation diminishes the population of the activated complex for forward (activationless) ET, thus slowing the rate. However, IR excitation increases the population of the activated complex for (highly activated) charge recombination ET, thus accelerating the charge recombination rate.
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Affiliation(s)
- Zheng Ma
- Department of Chemistry , Duke University , Durham , North Carolina 27708 , USA
| | - Zhiwei Lin
- Department of Chemistry , Tulane University , New Orleans , Louisiana 70118 , USA
| | - Candace M Lawrence
- Department of Chemistry , Xavier University of Louisiana , New Orleans , Louisiana 70125 , USA
| | - Igor V Rubtsov
- Department of Chemistry , Tulane University , New Orleans , Louisiana 70118 , USA
| | | | - Spiros S Skourtis
- Department of Physics , University of Cyprus , Nicosia 1678 , Cyprus
| | - Peng Zhang
- Department of Chemistry , Duke University , Durham , North Carolina 27708 , USA
| | - David N Beratan
- Department of Chemistry , Duke University , Durham , North Carolina 27708 , USA.,Department of Physics , Duke University , Durham , North Carolina 27708 , USA.,Department of Biochemistry , Duke University , Durham , North Carolina 27710 , USA
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6
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Graff BM, Lamont DN, Parker MFL, Bloom BP, Schafmeister CE, Waldeck DH. Through-Solvent Tunneling in Donor–Bridge–Acceptor Molecules Containing a Molecular Cleft. J Phys Chem A 2016; 120:6004-13. [DOI: 10.1021/acs.jpca.6b05624] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023]
Affiliation(s)
- B. M. Graff
- Chemistry
Department, University of Pittsburgh, Pittsburgh Pennsylvania 15260, United States
| | - D. N. Lamont
- Chemistry
Department, University of Pittsburgh, Pittsburgh Pennsylvania 15260, United States
| | - M. F. L. Parker
- Chemistry
Department, Temple University, Philadelphia, Pennsylvania, United States
| | - B. P. Bloom
- Chemistry
Department, University of Pittsburgh, Pittsburgh Pennsylvania 15260, United States
| | - C. E. Schafmeister
- Chemistry
Department, Temple University, Philadelphia, Pennsylvania, United States
| | - D. H. Waldeck
- Chemistry
Department, University of Pittsburgh, Pittsburgh Pennsylvania 15260, United States
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7
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Mikhailova VA, Mikhailova EA. Hot charge recombination in the non-Condon approximation. RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY B 2015. [DOI: 10.1134/s1990793115030082] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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8
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DeBlase CR, Finke RT, Porras JA, Tanski JM, Nadeau JM. C-shaped diastereomers containing cofacial thiophene-substituted quinoxaline rings: synthesis, photophysical properties, and X-ray crystallography. J Org Chem 2014; 79:4312-21. [PMID: 24773090 DOI: 10.1021/jo500053m] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Synthesis and characterization of two diastereomeric C-shaped molecules containing cofacial thiophene-substituted quinoxaline rings are described. A previously known bis-α-diketone was condensed with an excess of 4-bromo-1,2-diaminobenzene in the presence of zinc acetate to give a mixture of two C-shaped diastereomers with cofacial bromine-substituted quinoxaline rings. After chromatographic separation, thiophene rings were installed by a microwave-assisted Suzuki coupling reaction, resulting in highly emissive diastereomeric compounds that were studied by UV-vis, fluorescence, and NMR spectroscopy, as well as X-ray crystallography. The unique symmetry of each diastereomer was confirmed by NMR spectroscopy. NMR data indicated that the syn isomer has restricted rotation about the bond connecting the thiophene and quinoxaline rings, which was also observed in the solid state. The spectroscopic properties of the C-shaped diastereomers were compared to a model compound containing only a single thiophene-substituted quinoxaline ring. Ground state intramolecular π-π interactions in solution were detected by NMR and UV-vis spectroscopy. Red-shifted emission bands, band broadening, and large Stokes shifts were observed, which collectively suggest excited state π-π interactions that produce excimer-like emissions, as well as a remarkable positive emission solvatochromism, indicating charge-transfer character in the excited state.
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Affiliation(s)
- Catherine R DeBlase
- Department of Chemistry, Biochemistry, and Physics, Marist College , 3399 North Road, Poughkeepsie, New York 12601, United States
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9
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Bingöl B, Durrell AC, Keller GE, Palmer JH, Grubbs RH, Gray HB. Electron transfer triggered by optical excitation of phenothiazine-tris(meta-phenylene-ethynylene)-(tricarbonyl)(bpy)(py)rhenium(I). J Phys Chem B 2012; 117:4177-82. [PMID: 22533820 DOI: 10.1021/jp3010053] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We have investigated excited-state electron transfer in a donor-bridge-acceptor complex containing phenothiazine (PTZ) linked via tris(meta-phenylene-ethynylene) to a tricarbonyl(bipyridine)(pyridine)Re(I) unit. Time-resolved luminescence experiments reveal two excited-state (*Re) decay regimes, a multiexponential component with a mean lifetime of 2.7 ns and a longer monoexponential component of 530 ns in dichloromethane solution. The faster decay is attributed to PTZ → *Re electron transfer in a C-shaped PTZ-bridge-Re conformer (PTZ-Re ≈ 7.5 Å). We assign the longer lifetime, which is virtually identical to that of free *Re, to an extended conformer (PTZ-Re > 20 Å). The observed biexponential *Re decay requires that interconversion of PTZ-bridge-Re conformers be slower than 10(6) s(-1).
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Affiliation(s)
- Bahar Bingöl
- The Arnold and Mabel Beckman Laboratory of Chemical Synthesis, Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA
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10
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Hanss D, Walther ME, Wenger OS. Importance of covalence, conformational effects and tunneling-barrier heights for long-range electron transfer: Insights from dyads with oligo-p-phenylene, oligo-p-xylene and oligo-p-dimethoxybenzene bridges. Coord Chem Rev 2010. [DOI: 10.1016/j.ccr.2009.10.024] [Citation(s) in RCA: 60] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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11
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Cook WR, Coalson RD, Evans DG. Effectiveness of Perturbation Theory Approaches for Computing Non-Condon Electron Transfer Dynamics in Condensed Phases. J Phys Chem B 2009; 113:11437-47. [DOI: 10.1021/jp9007976] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023]
Affiliation(s)
- William R. Cook
- Department of Chemistry, University of New Mexico, Albuquerque, New Mexico 87131, and Department of Chemistry, University of Pittsburgh, Pennsylvania 15260
| | - Rob D. Coalson
- Department of Chemistry, University of New Mexico, Albuquerque, New Mexico 87131, and Department of Chemistry, University of Pittsburgh, Pennsylvania 15260
| | - Deborah G. Evans
- Department of Chemistry, University of New Mexico, Albuquerque, New Mexico 87131, and Department of Chemistry, University of Pittsburgh, Pennsylvania 15260
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12
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Chakrabarti S, Parker MFL, Morgan CW, Schafmeister CE, Waldeck DH. Experimental evidence for water mediated electron transfer through bis-amino acid donor-bridge-acceptor oligomers. J Am Chem Soc 2009; 131:2044-5. [PMID: 19173584 DOI: 10.1021/ja8079324] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/16/2023]
Abstract
This work compares the photoinduced unimolecular electron transfer rate constants for two different solute molecules (D-SSS-A and D-SRR-A) in water and DMSO solvents. The D-SSS-A solute has a cleft between the electron donor and acceptor units, which is able to contain a water molecule but is too small for DMSO. The rate constant for D-SSS-A in water is significantly higher than that for D-SRR-A, which lacks a cleft, and significantly higher for either solute in DMSO. The enhancement of the rate constant is explained by an electron tunneling pathway that involves water molecule(s).
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Affiliation(s)
- Subhasis Chakrabarti
- University of Pittsburgh, Department of Chemistry, Pittsburgh, Pennsylvania 15260, USA
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13
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Non-innocent electrolyte effects on bimolecular pseudo-self-exchange reactions of ruthenium ammine complexes: Evidence for electron-transfer catalysis in H-bonded ternary assemblies. Chem Phys 2006. [DOI: 10.1016/j.chemphys.2005.11.035] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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14
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Cook WR, Evans DG, Coalson RD. Exact solution of a model of condensed-phase electron transfer with non-Condon effects. Chem Phys Lett 2006. [DOI: 10.1016/j.cplett.2005.11.127] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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15
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Amthor S, Lambert C. [2.2]Paracyclophane-Bridged Mixed-Valence Compounds: Application of a Generalized Mulliken−Hush Three-Level Model. J Phys Chem A 2005; 110:1177-89. [PMID: 16420023 DOI: 10.1021/jp0550309] [Citation(s) in RCA: 76] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023]
Abstract
A series of [2.2]paracylophane-bridged bis-triarylamine mixed-valence (MV) radical cations were analyzed by a generalized Mulliken-Hush (GMH) three-level model which takes two transitions into account: the intervalence charge transfer (IV-CT) band which is assigned to an optically induced hole transfer (HT) from one triarylamine unit to the second one and a second band associated with a triarylamine radical cation to bridge (in particular, the [2.2]paracyclophane bridge) hole transfer. From the GMH analysis, we conclude that the [2.2]paracyclophane moiety is not the limiting factor which governs the intramolecular charge transfer. AM1-CISD calculations reveal that both through-bond as well as through-space interactions of the [2.2]paracyclophane bridge play an important role for hole transfer processes. These electronic interactions are of course smaller than direct pi-conjugation, but from the order of magnitude of the couplings of the [2.2]paracyclophane MV species, we assume that this bridge is able to mediate significant through-space and through-bond interactions and that the cyclophane bridge acts more like an unsaturated spacer rather than a saturated one. From the exponential dependence of the electronic coupling V between the two triarylamine localized states on the distance r between the two redox centers, we infer that the hole transfer occurs via a superexchange mechanism. Our analysis reveals that even significantly longer pi-conjugated bridges should still mediate significant electronic interactions because the decay constant beta of a series of pi-conjugated MV species is small.
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Affiliation(s)
- Stephan Amthor
- Institut für Organische Chemie, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany
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16
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Chou TC, Hwa CL, Lin JJ, Liao KC, Tseng JC. Bicyclo[2.2.2]octene-Based “Crab-like” Molecules: Synthesis, Complexation, Luminescence Properties, and Solid-State Structures. J Org Chem 2005; 70:9717-26. [PMID: 16292799 DOI: 10.1021/jo051006f] [Citation(s) in RCA: 41] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022]
Abstract
[structure, reaction: see text] The U-shaped, multifunctionalized tetraetheno-bridged dicyclopenta[b,i]anthracenediol 10 was synthesized to serve as a platform molecule. The molecule was prepared from the Diels-Alder adduct 5a of tricycloundecatriene 3 and bicyclo[2.2.2]octene-fused p-benzoquinone 4. Functionalization of 10 to construct crab-like molecules was achieved via the base-promoted bis-O-alkylation of two endo-oriented hydroxyl groups at termini in 10 with the following alkyl halides: allyl, propagyl, and benzyl bromides; 1-bromo- and 1-iodo-4-(bromomethyl)benzene; 9-(bromomethyl)anthracene; 1-(bromomethyl)pyrene; and isomeric bromomethylpyridines. Single-crystal X-ray structures were obtained for bis-phenyl (21) and bis-pyrenyl (25) crabs, and for the silver(I) complex (32 and 33) crabs. The silver(I) complex 32 from bis-o-pyridyl crab 30 is a [2+2] dimeric dimetallocyclophane, and 33 from bis-m-pyridyl crab 29 is a [1+1] metallo-bridged cyclophane. The self-assembled intramolecular pi-stacking of pyrenyl rings in 25 with an interplanar distance of 3.40 A and the consequent pi-pi interactions were revealed by the X-ray crystal structure and its luminescence property.
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Affiliation(s)
- Teh-Chang Chou
- Department of Chemistry and Biochemistry, National Chung Cheng University, Minshong, Chiayi 621, Taiwan.
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17
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Jang S, Newton MD. Theory of torsional non-Condon electron transfer: A generalized spin-boson Hamiltonian and its nonadiabatic limit solution. J Chem Phys 2005; 122:024501. [PMID: 15638592 DOI: 10.1063/1.1828431] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/04/2023] Open
Abstract
The paper develops a theory of electron transfer with torsionally induced non-Condon (NC) effects. The starting point of the theory is a generalized spin-boson Hamiltonian, where an additional torsional oscillator bilinearly coupled to other bath modes causes a sinusoidal NC modulation. We derive closed form time dependent nonadiabatic rate expressions for both sudden and relaxed initial conditions, which are applicable for general spectral densities and energetic condition. Under the assumption that the torsional motion is not correlated with the polaronic shift of the bath, simple stationary limit rate expression is obtained. Model calculations of this rate expression illustrate the effects of torsional quantization and gating on the driving force and temperature dependences of the electron transfer rate. The classical limit of the rate expression consists of three Marcus-type terms, and is shown to agree very well with the exact numerical result.
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Affiliation(s)
- Seogjoo Jang
- Chemistry Department, Brookhaven National Laboratory, Upton, New York 11973, USA.
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