Bristol Centre for Functional Nanomaterials (BCFN), HH Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, UK; School of Chemistry, University of Bristol, Cantock's Close, Bristol BS8 1TS, UK.
Bristol Centre for Functional Nanomaterials (BCFN), HH Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, UK; School of Physics, HH Wills Physics Laboratory, Tyndall Avenue, University of Bristol, Bristol BS8 1TL, UK.
J Colloid Interface Sci. 2019 Feb 15;536:493-498. doi: 10.1016/j.jcis.2018.10.077. Epub 2018 Oct 25.
We present a box counting fractal dimension (FD) analysis of the dendritic patterns obtained under conditions far from equilibrium via rapid evaporation of a sessile drop containing reactive ZnO nanoparticles. These dendrites were manifestations of solidified Bénard-Marangoni (BM) instability convection cells, and we previously noted that their complex hierarchical morphologies were superficially analogous to the foliage of red algae, Spanish dagger, or spider plant. The fractal dimension of the Bénard-Marangoni dendrites was found to vary in the range of 1.77-1.89 and also depend on the size of the Bénard-Marangoni cells. These fractal dimension results were correlated with the morphological details of the Bénard-Marangoni cells and ZnO particle characteristics, providing a quantitative description of such complex surface patterns emerging from the dynamic process of the Bénard-Marangoni instability.
我们提出了一种盒计数分形维数(FD)分析方法,用于分析通过含有反应性 ZnO 纳米粒子的液滴的快速蒸发在远离平衡条件下获得的树枝状图案。这些树枝状结构是凝固的贝纳德-马兰戈尼(BM)不稳定性对流单元的表现,我们之前注意到它们复杂的层次形态与红藻、西班牙剑兰或蜘蛛植物的叶子表面上相似。发现贝纳德-马兰戈尼树枝状结构的分形维数在 1.77-1.89 范围内变化,并且还取决于贝纳德-马兰戈尼细胞的大小。这些分形维数结果与贝纳德-马兰戈尼细胞的形态细节和 ZnO 颗粒特性相关联,为贝纳德-马兰戈尼不稳定性的动态过程中出现的这种复杂表面图案提供了定量描述。