Adjacency matrix formulation of energy flow in dendrimeric polymers

David L. Andrews; Shaopeng Li

doi:10.1117/12.678038

8 September 2006 Adjacency matrix formulation of energy flow in dendrimeric polymers

David L. Andrews, Shaopeng Li

Proceedings Volume 6328, Nanomodeling II; 63280V (2006) https://doi.org/10.1117/12.678038
Event: SPIE Optics + Photonics, 2006, San Diego, California, United States

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.

Citation Download Citation

David L. Andrews and Shaopeng Li "Adjacency matrix formulation of energy flow in dendrimeric polymers", Proc. SPIE 6328, Nanomodeling II, 63280V (8 September 2006); https://doi.org/10.1117/12.678038

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available