Nasr Pedram, Leung Hannah, Auzanneau France-Isabelle, Rogers Michael A
Department of Food Science, University of Guelph, Guelph, ON N1G 2W1, Canada.
Department of Chemistry, University of Guelph, Guelph, ON N1G 2W1, Canada.
Gels. 2021 Apr 14;7(2):46. doi: 10.3390/gels7020046.
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.
复杂形态，如1,3:2,4-二亚苄基山梨醇（DBS）的自组装纤维网络（SAFiNs），通常由其分形维数而非欧几里得维数来表征。DBS-聚乙二醇（PEG）SAFiNs呈现出凯莱树分支模式的自相似性，在不同长度尺度上具有相似的盒计数分形维数，以及源自阿弗拉米模型的分形。无论结晶温度如何，分形值都对应于有限扩散聚集而非弹道粒子-团簇聚集。此外，SAFiN的分形维数受溶剂粘度变化（例如，与PEG600相比的PEG200）的影响比结晶温度更大。最令人惊讶的是，不仅在球晶内的径向纤维上，而且在纤维表面上都有凯莱分支的证据。
