Excitation energy transfer in condensed media

We derive an expression for resonance energy transfer between a pair of chromophores embedded in a condensed medium by considering the energy splitting of the chromophores from their resonant excited states. We employ time-dependent density functional response theory in our derivation. The linear response theory treatment is rigorous within the framework of time-dependent density functional theory, while in obtaining the energy transfer coupling, the standard first-order approximation is used. The density response function for the medium, which can be replaced by the macroscopic dielectric susceptibility, enables the inclusion of the medium influence on the energy transfer coupling between the donor and acceptor. We consider the Coulomb coupling, and determine that our result is isomorphic to the Coulomb interaction between two charge densities inside a dielectric medium. The isomorphism we found not only provides a general and useful expression for applications, but additionally offers a basis for the ex...

[1]  Andrews,et al.  Quantum electrodynamics of resonant energy transfer in condensed matter. , 1994, Physical review. B, Condensed matter.

[2]  D. Chandler,et al.  Dielectric solvation dynamics of molecules of arbitrary shape and charge distribution , 1998 .

[3]  P. Knight Electronic Excitation Energy Transfer in Condensed Matter , 1984 .

[4]  R. Ahlrichs,et al.  Treatment of electronic excitations within the adiabatic approximation of time dependent density functional theory , 1996 .

[5]  Jacopo Tomasi,et al.  Molecular Interactions in Solution: An Overview of Methods Based on Continuous Distributions of the Solvent , 1994 .

[6]  R. Silbey,et al.  Excitation transfer in the vicinity of a dielectric surface , 1995 .

[7]  M. Petersilka,et al.  Excitation energies from time-dependent density-functional theory. , 1996 .

[8]  David L. Andrews,et al.  Resonance Energy Transfer , 1999 .

[9]  Markus P. Fülscher,et al.  Solvent Effects on Electronic Spectra Studied by Multiconfigurational Perturbation Theory , 1997 .

[10]  Graham R. Fleming,et al.  On the Mechanism of Light Harvesting in Photosynthetic Purple Bacteria: B800 to B850 Energy Transfer , 2000 .

[11]  E. Gross,et al.  Density-Functional Theory for Time-Dependent Systems , 1984 .

[12]  R. Mcweeny,et al.  Methods Of Molecular Quantum Mechanics , 1969 .

[13]  R. Silbey,et al.  Suppression and enhancement of van der Waals interactions , 1996 .

[14]  Randy J. Zauhar,et al.  Electrostatic solvent effects on the electronic structure of ground and excited states of molecules: Applications of a cavity model based upon a finite element method , 1993, J. Comput. Chem..

[15]  H. Friedman,et al.  A fluctuating charge density formulation of the dielectric behavior of liquids-with applications to equilibrium and nonequilibrium solvation , 1997 .

[16]  H. Cheung Resonance Energy Transfer , 2002 .

[17]  Gerhard Hummer,et al.  Simulation and Theory of Electrostatic Interactions in Solution: Computational Chemistry, Biophysics and Aqueous Solutions, Santa Fe, New Mexico, U. S. A., 23-25 June 1999 , 1999 .

[18]  H. Sumi Theory on Rates of Excitation-Energy Transfer between Molecular Aggregates through Distributed Transition Dipoles with Application to the Antenna System in Bacterial Photosynthesis , 1999 .

[19]  G. Scholes,et al.  Damping and higher multipole effects in the quantum electrodynamical model for electronic energy transfer in the condensed phase , 1997 .

[20]  Ronald R. Chance,et al.  Comments on the classical theory of energy transfer , 1975 .

[21]  D. Chong Recent Advances in Density Functional Methods Part III , 2002 .

[22]  M. Brereton Classical Electrodynamics (2nd edn) , 1976 .

[23]  M. Cho Confinement-induced enhancement or suppression of the resonant dipole–dipole interaction , 1999 .

[24]  MartynC.R. Symons,et al.  Book reviewsThe chemical physics of solvation : Part B. Spectroscopy of solvation. R.R. Dogonadze, E. Kálmán, A.A. Kornyshev and J. Ulstmp (Editors). Elsevier, Amsterdam, 1986, ISBN 0-444-42674-4, XXVI + 560 pp., US$124.00, Dfl.335.00 , 1988 .

[25]  Gregory D. Scholes,et al.  Rate expressions for excitation transfer. III. An ab initio study of electronic factors in excitation transfer and exciton resonance interactions , 1995 .

[26]  A. Kornyshev Nonlocal screening of ions in a structurized polar liquid — new aspects of solvent description in electrolyte theory , 1981 .

[27]  P. Löwdin Studies in Perturbation Theory. IV. Solution of Eigenvalue Problem by Projection Operator Formalism , 1962 .

[28]  K Schulten,et al.  Excitation transfer in the peridinin-chlorophyll-protein of Amphidinium carterae. , 2000, Biophysical journal.

[29]  R. G. Alden,et al.  Calculations of Spectroscopic Properties of the LH2 Bacteriochlorophyll−Protein Antenna Complex from Rhodopseudomonas acidophila† , 1997 .

[30]  M. Head‐Gordon,et al.  Reaction field cavity optimization: A born-again Born model for ionic hydration , 1999 .

[31]  J. Kirkwood,et al.  Theory of Solutions of Molecules Containing Widely Separated Charges with Special Application to Zwitterions , 1934 .

[32]  Th. Förster Zwischenmolekulare Energiewanderung und Fluoreszenz , 1948 .

[33]  Harold L. Friedman,et al.  Image approximation to the reaction field , 1975 .

[34]  T. Thirunamachandran,et al.  Third-body mediation of resonance coupling between identical molecules , 1989 .

[35]  G. Fleming,et al.  Solvation Dynamics in Protein Environments Studied by Photon Echo Spectroscopy , 1999 .

[36]  B. Honig,et al.  Classical electrostatics in biology and chemistry. , 1995, Science.

[37]  D. Andrews,et al.  A QED theory of intermolecular energy transfer in dielectric media , 1994 .

[38]  G. Fleming,et al.  Femtosecond dynamics of the forbidden carotenoid S1 state in light-harvesting complexes of purple bacteria observed after two-photon excitation. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[39]  Christian Silvio Pomelli,et al.  Recent Advances in the Description of Solvent Effects with the Polarizable Continuum Model , 1998 .

[40]  A. Varnek,et al.  A fast and Space‐efficient boundary element method for computing electrostatic and hydration effects in large molecules , 1996 .

[41]  G. Fleming,et al.  Calculation of Couplings and Energy-Transfer Pathways between the Pigments of LH2 by the ab Initio Transition Density Cube Method , 1998 .

[42]  D. L. Dexter A Theory of Sensitized Luminescence in Solids , 1953 .

[43]  Klaus Schulten,et al.  Energy transfer between carotenoids and bacteriochlorophylls in light-harvesting complex II of purple bacteria , 1999 .

[44]  D. D. Yue,et al.  Theory of Electric Polarization , 1974 .