基于TEM图像的CNT溶液分散均匀性分形方法

针对传统评价方法的不足,提出了一种以分形理论为数学模型基础的碳纳米管长度分布及分布均匀性的定量评价方法.将碳纳米管溶液TEM图像进行处理,得到简化矩阵,以简化矩阵的第1个元素为原点,提取不同步长及该步长内所有元素的和,在双对数坐标中以拟合直线的斜率作为碳纳米管长度分布参数p1.以TEM图像的中心为圆心做圆,提取不同半径圆内的碳纳米管数量,在双对数坐标中以拟合直线斜率的倒数作为分散均匀性参数p2.将该方法应用于不同方法分散的碳纳米管分散均匀性的描述,结果验证了该方法能正确地评价碳纳米管的长度分布及其分布均匀性.

Fractal Method of CNT Solution Dispersion Uniformity Based on TEM Image

According to the deficiency of traditional evaluation methods,a quantitative evaluation method is proposed to evaluate the carbon nanotubes'( CNTs) length distribution and the uniformity of the distribution. A simplified matrix can be obtained after the processing of carbon nanotubes solution TEM image. Making the first element of the simplified matrix as the original point,extracting different steplengths and all elements' sum of every step-length,disposing the date with linear curve fitting in the bilogarithm,the slope of the linear is CNTs' length distribution parameter p1. Circles are drawn with different radius and with the TEM images' centroid as the circle center. CNTs' quantity were extracted from the circles and made coordinates of linear fitting in bi-logarithm. Reciprocal value of the linear slope is just the dispersion uniformity parameter p2. Appling the method to different carbon nanotubes dispersion uniformity,the results show that it can correctly evaluate the CNT length distribution and the uniformity of distribution.