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Proceedings Paper

Adjacency matrix formulation of energy flow in dendrimeric polymers
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Paper Abstract

Dendrimers are synthetic, highly branched polymers with an unusually high density of chromophores. As a result of their extremely high absorption cross-sections for visible light, they represent some of the most promising new materials for energy harvesting. Although the signature of the bonding structure in dendrimers is an essentially fractal geometry, the three-dimensional molecular folding of most higher generation materials results in a chromophore layout that is more obviously akin to concentric spherical shells. The number of chromophores in each shell is a simple function of the distance from the central core. The energy of throughput optical radiation, on capture by any of the chromophores, passes by a multi-step but highly efficient process to the photoactive core. Modeling this crucial migration process presents a number of challenges. It is far from a simple diffusive random walk; each step is subject to an intricate interplay of geometric and spectroscopic features. In this report, the first results of a new approach to the theory is described, developed and adapted from an adjacency matrix formulation. It is shown how this method offers not only kinetic information but also insights into the typical number of steps and the patterns of internal energy flow.

Paper Details

Date Published: 8 September 2006
PDF: 9 pages
Proc. SPIE 6328, Nanomodeling II, 63280V (8 September 2006); doi: 10.1117/12.678038
Show Author Affiliations
David L. Andrews, Univ. of East Anglia, Norwich (United Kingdom)
Shaopeng Li, Univ. of East Anglia, Norwich (United Kingdom)


Published in SPIE Proceedings Vol. 6328:
Nanomodeling II
Akhlesh Lakhtakia; Sergey A. Maksimenko, Editor(s)

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