无机微孔膜分形性及分形维数的测定

Fractals of Inorganic Micropore Membrane andMeasurement of Freactal Dimension

无机膜的结构在三维空间上相互交错，大小不一。处于一种无序状态。在统计上它们具有一定相似性，遵从分形规律。本文提出了利用ＣＬＳＭ共焦激光扫描显微镜测定膜孔分形维数的实验手段及计算方法：由ＣＬＳＭ测得膜断面形貌等高线，利用小岛法原理，回归分形维数Ｄｆ。分形维数可作为衡量膜孔形态复杂程度的定量参数。

Structures of inorganic membranes are crossed mutually in three - dimension space, of various sizes and in a naturally unordered state, but they are statistically similar to each other and observe the same fractal law. This paper presents the experimental means and oomputational method to measure the fractal dimeuion (Df) by condensing laser scanning microsoope ( CLSM) with the aid of which the isoline of the shapes of membrane sections, and, by using the principle of Slit Island Method gives the regressive Df which may serve as the quantitative parameter to judge the complexity of the pore shapes of the membranes.