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手性香蕉形液晶在结晶过程中的分形特性
引用本文:陈兰莉.手性香蕉形液晶在结晶过程中的分形特性[J].南阳理工学院学报,2009,1(3):17-20.
作者姓名:陈兰莉
作者单位:南阳理工学院电子与电气工程系,河南,南阳,473004
基金项目:河南省基础与前沿基础研究项目,河南省科技攻关项目,河南省青年骨干教师资助项目,南阳市科技发展计划
摘    要:用差分扫描热分析仪、偏光显微镜观察了香蕉形液晶在结晶过程中星形、草状两种分形结构的形成规律。采用计盒维数的方法,计算了这两种分形体的分形维数大约为1.9。用计算机模拟,重现了它的结晶过程,分形理论说明这种香蕉形液晶的结晶过程属于渗流生长模型。

关 键 词:香蕉形液晶  分形  分形维数  渗流

FRACTAL FEATURES OF GROWING AGGREGATES FROM ISOTROPIC MELT OF A CHIRAL BANANA-SHAPED LIQUID CRYSTAL
CHEN Lan-li.FRACTAL FEATURES OF GROWING AGGREGATES FROM ISOTROPIC MELT OF A CHIRAL BANANA-SHAPED LIQUID CRYSTAL[J].Journal of Nanyang Institute of Technology,2009,1(3):17-20.
Authors:CHEN Lan-li
Institution:CHEN Lan-li ( Department of Electronics, Nanyang Institute of Technology, Nanyang 473004, China)
Abstract:Fractal features of aggregates growing out of the isotropic melt of a chiral banana-shaped liquid crystal, 1,3-phenylene bis {4- 3-chloro-4-(3,7-dimethyloctyloxyl) ] phenyliminomethyl} benzoate, were investigated with differential scanning calorimetry, polarizing optical microscopy, and computer - aided simulation, respectively. Both star-like and grass-like aggregates were observed to grow out of the isotropic melt of the bent-core liquid crystal. With box-counting method, we calculated the fractal dimensions to be about 1.9 for both the star-like and the grass-like aggregates, suggesting the percolation growth of the banana-phase from the isotropic melt of the chiral banana-shaped liquid crystal.
Keywords:Banana-shaped liquid crystal  Fractal  Fractal dimension  Percolation
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