doi:10.1016/S0022-2313(99)00242-2
Copyright © 2000 Elsevier Science B.V. All rights reserved.
Invited Paper
Frenkel-exciton Hamiltonian for dendrimeric nanostar
Tatsuya Minamia, Sergei Tretiaka, Vladimir Chernyaka and Shaul Mukamel
, a, 
aDepartment of Chemistry, University of Rochester and Rochester Theory Centre for Optical Science and Engineering, P.O. RC Box 270216, Rochester, NY 14627-0216, USA
Available online 24 April 2000.
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Abstract
Exciton energies and transfer matrix-elements for the nanostar (a perylene chromophore attached to a poly-phenylacetylene dendrimer) are obtained by computing the linear absorption of several segments using the collective electronic oscillator (CEO) approach. Our results allow a first-principles calculation of an effective Frenkel exciton Hamiltonian which can describe the optical properties as well as energy transfer and funneling in this artificial antenna complex.
Keywords: Frenkel exciton model; Phenylacetylene dendrimer; Nanostar; Collective electron oscillator method
Fig. 1. Structure of the nanostar dendrimer [7].
Fig. 2. (a) and (b) Trimers used for geometry optimization; (a1) and (b1) monomer segments used for determining Ω1, μ1, and Ω2, μ2; (a2) and (b2) dimer segments used for determining J00′ and J11′; (a3) and (b3) dimer segments used for determining J01 and J12.
Fig. 3. (c) and (d) Trimers used for geometry optimization; (c1) and (d1) monomer segments used for determining Ω3, μ3, and Ω4, μ4; (c2) and (d2) dimer segments used for determining J22′ and J33′; (c3) and (d3) dimer segments used for determining J23 and J34.
Fig. 4. Solid line calculated absorption spectrum of the nanostar with the parameters of Table 1 and Γ=806 cm−1; dashed line experimental spectrum [7]. The arrows indicate the zero-phonon absorption peaks. The calculated spectrum was shifted to the blue by 33 nm to make the highest peak coincide with experiment.
Table 1.
Excitation energies Ω, exciton transfer J parameters and transition dipole moments μ of the Frenkel Hamiltonian. Ω and J are in cm−1, μ are normalized relative to μ1
