Rothschild W.G.
Wayne State University, US
Keywords: delayed diffusion, dendrimer, mass fractal, mass!distance scaling, simulation
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.
Journal: TechConnect Briefs
Volume: 2, Technical Proceedings of the 2001 International Conference on Computational Nanoscience and Nanotechnology
Published: March 19, 2001
Pages: 57 - 60
Industry sectors: Advanced Materials & Manufacturing | Personal & Home Care, Food & Agriculture
Topics: Advanced Materials for Engineering Applications, Personal & Home Care, Food & Agriculture
ISBN: 0-9708275-3-9