Abstract
Complex morphologies, as is the case in self-assembled fibrillar networks (SAFiNs) of 1,3:2,4-Dibenzylidene sorbitol (DBS), are often characterized by their Fractal dimension and not Euclidean. Self-similarity presents for DBS-polyethylene glycol (PEG) SAFiNs in the Cayley Tree branching pattern, similar box-counting fractal dimensions across length scales, and fractals derived from the Avrami model. Irrespective of the crystallization temperature, fractal values corresponded to limited diffusion aggregation and not ballistic particle–cluster aggregation. Additionally, the fractal dimension of the SAFiN was affected more by changes in solvent viscosity (e.g., PEG200 compared to PEG600) than crystallization temperature. Most surprising was the evidence of Cayley branching not only for the radial fibers within the spherulitic but also on the fiber surfaces.
Funder
Natural Sciences and Engineering Research Council of Canada
Subject
Polymers and Plastics,Organic Chemistry,Biomaterials,Bioengineering
Reference74 articles.
1. Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire;von Koch;Ark. Mat. Astron. Fys.,1904
2. Sur une courbe cantorienne qui contient une image biunivoquet et continue detoute courbe don nee;Sierpiński;Comptes Rendus Acad. Sci.,1916
3. Determination of the Fractal Characteristic of Nanofiber-Network Formation in Supramolecular Materials
4. Modeling of frost crystal growth over a flat plate using artificial neural networks and fractal geometries
5. Colloidal networks of fat crystals
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