Energy flow in dendrimers: An adjacency matrix representation

Andrews, Davıd L.; Li, Shaopeng

doi:10.1016/j.cplett.2006.11.049

Cited by 10 publications

(8 citation statements)

References 14 publications

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“…Using essentially classical methods of representing energy flow as a series of stepwise processes, Knoester et al [77,78] and also Andrews et al [79][80][81] have explored the relationships between trapping times and the connectivity of dendrimers. Nonetheless, the formulation of each such step requires quantum methods.…”

Section: Theoretical Methods For Dynamical Analysismentioning

confidence: 99%

“…For the latter purpose, a propensity model has proven to offer more fundamental insights; its essence is as follows. An obvious starting point for exploring the dynamics of energy transport, within a dendrimer of generic form, is a model based on bond connectivity between the constituent chromophores; this is readily cast in the form of a graph theoretical adjacency matrix [79][80][81]. The efficiency of transfer between directly bonded chromophores can then be introduced to give a propensity matrix C, of the same structure, whose elements C rc denote the relative efficiency of electronic excitation passing to a chromophore r from chromophore c. If interest primarily concerns the efficiency of excitation being trapped at the core, a reduced size matrix based on summed generation populations can again be deployed, as with the quantum model described above.…”

Section: Theoretical Methods For Dynamical Analysismentioning

confidence: 99%

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Mechanisms of Light Energy Harvesting in Dendrimers and Hyperbranched Polymers

Bradshaw

Andrews

2011

Polymers

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Abstract:Since their earliest synthesis, much interest has arisen in the use of dendritic and structurally allied forms of polymer for light energy harvesting, especially as organic adjuncts for solar energy devices. With the facility to accommodate a proliferation of antenna chromophores, such materials can capture and channel light energy with a high degree of efficiency, each polymer unit potentially delivering the energy of one photon-or more, when optical nonlinearity is involved. To ensure the highest efficiency of operation, it is essential to understand the processes responsible for photon capture and channelling of the resulting electronic excitation. Highlighting the latest theoretical advances, this paper reviews the principal mechanisms, which prove to involve a complex interplay of structural, spectroscopic and electrodynamic properties. Designing materials with the capacity to capture and control light energy facilitates applications that now extend from solar energy to medical photonics.

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Section: Theoretical Methods For Dynamical Analysismentioning

confidence: 99%

Section: Theoretical Methods For Dynamical Analysismentioning

confidence: 99%

Mechanisms of Light Energy Harvesting in Dendrimers and Hyperbranched Polymers

Bradshaw

Andrews

2011

Polymers

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“…One recently developed method that shows promise is an operator approach developed from an "adjacency matrix" representation, based on the chemical connectivity between individual chromophores (101)(102)(103). Here, a square matrix, whose order equals the number of chromophores, represents the propensities (probabilities associated with a specific time interval) for energy migration between the chromophores.…”

Section: Energy-harvesting Dendrimersmentioning

confidence: 99%

Mechanistic principles and applications of resonance energy transfer

Andrews¹

2008

Can. J. Chem.

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Abstract:Resonance energy transfer is the primary mechanism for the migration of electronic excitation in the condensed phase. Well-known in the particular context of molecular photochemistry, it is a phenomenon whose much wider prevalence in both natural and synthetic materials has only slowly been appreciated, and for which the fundamental theory and understanding have witnessed major advances in recent years. With the growing to maturity of a robust theoretical foundation, the latest developments have led to a more complete and thorough identification of key principles. The present review first describes the context and general features of energy transfer, then focusing on its electrodynamic, optical, and photophysical characteristics. The particular role the mechanism plays in photosynthetic materials and synthetic analogue polymers is then discussed, followed by a summary of its primarily biological structure determination applications. Lastly, several possible methods are described, by the means of which all-optical switching might be effected through the control and application of resonance energy transfer in suitably fabricated nanostructures.Key words: FRET, Förster energy transfer, photophysics, fluorescence, laser.Résumé : Dans une phase condensée, le transfert de l'énergie de résonance est le mécanisme primaire pour la migration de l'excitation électronique. Bien connu dans le contexte particulier de la photochimie moléculaire, c'est un phéno-mène dont la prévalence beaucoup plus grande tant dans les matériaux naturels que ceux de synthèse n'a été appréciée que lentement et pour laquelle la théorie fondamentale et sa compréhension ont fait des progrès importants au cours des dernières années. Avec la maturité croissante de bases théoriques solides, les derniers développements ont conduit à une identification complète des principes fondamentaux. Le présente revue décrit d'abord le contexte et les caractéristi-ques générales du transfert d'énergie avant de passer à une mise au point de ses caractéristiques électrodynamiques et photophysiques. On discute ensuite du rôle particulier que joue le mécanisme dans les matériaux photosynthétiques et les polymères synthétiques analogues et puis on résume ses applications principalement dans la détermination des structures biologiques. Enfin, on décrit plusieurs méthodes potentielles à l'aide desquelles il serait possible d'effectuer des commutations complètement optiques par le biais du contrôle et de l'application du transfert de l'énergie de réso-nance dans des nanostructures fabriquées d'une façon appropriée. Mots-clés

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“…One of its most widely studied manifestations is the process of energy hopping between chromophores within light-harvesting complexes-both natural [1][2][3][4][5] and synthetic polymers such as dendrimers. 3,[6][7][8][9] In the latter connection we have recently reported the results of several calculations on energy flow [10][11][12] and competing two-photon processes. 13 Beyond the sphere of dendrimers, RET has been employed to determine a wide range of other polymeric properties; the 'spectroscopic ruler' has been readily utilised as a means of elucidating physical and morphological interface properties in complex polymer blends, for example.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of the dispersion interaction in an energy transfer system

Andrews

Leeder

Rodríguez

2008

Phys. Chem. Chem. Phys.

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On the propagation of resonant radiation through an optically dense system, photon capture is commonly followed by one or more near-field transfers of the resulting optical excitation. The process invokes secondary changes to the local electronic environment, shifting the electromagnetic interactions between participant chromophores and producing modified intermolecular forces. From the theory it emerges that energy transfer, when it occurs between chromophores with electronically dissimilar properties, can itself generate significant changes in the intermolecular potentials. This report highlights specific effects that can be anticipated when laser light propagates across an interface between differentially absorbing components in a model energy transfer system.

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Energy flow in dendrimers: An adjacency matrix representation

Cited by 10 publications

References 14 publications

Mechanisms of Light Energy Harvesting in Dendrimers and Hyperbranched Polymers

Mechanisms of Light Energy Harvesting in Dendrimers and Hyperbranched Polymers

Mechanistic principles and applications of resonance energy transfer

Dynamics of the dispersion interaction in an energy transfer system

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