Nano Science and Technology Institute
Nanotech 2001 Vol. 2
Nanotech 2001 Vol. 2
Technical Proceedings of the 2001 International Conference on Computational Nanoscience and Nanotechnology
Chapter 3: Polymers and Colloids

Modeling and Mass-Distance Scaling of a Nanometer Starburst Polymer

Authors:W.G. Rothschild
Affilation:Wayne State University, US
Pages:57 - 60
Keywords:simulation, dendrimer, mass!distance scaling, mass fractal, delayed diffusion
Abstract:We report numerical scaling of cumulative mass with intramolecular distance of a model of one of the four segments of the hyperbranched poly(propylene!imine)-dendr-DAB(CN)64 molecule. Assuming prevalent repulsive link!link forces gives a power law relation with non-Euclidian exponent d = 2.12 ± 0.10, in close agreement with the known exact value d = 2 of the universality class of isolated branched polymers with negligible loops. This outcome implies that the dendrimer molecule DAB(CN)64 under good solvent conditions can be considered a mass fractal (non-compact structural pattern) with considerable open spacing, causing delayed diffusion of trapped species and a range of fracton modes in its low-frequency spectra.
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