超细粉末粒度分布的X光小角散射分析(Ⅲ)——分割分布函数法求解的稳定性
SMALL-ANGLE X-RAY SCATTERING ANALYSIS OF PARTICLE SIZE DISTRIBUTION OF ULTRAFINE POWDER(Ⅲ)
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摘要: 分割分布函数法是以x光小角散射数据计算超细粉末粒度分布的方法之一。本文通过优化系数矩阵、另加阻尼因子以及最小二乘法处理,对分割分布函数法求解稳定性进行了研究。全部演算在计算机上完成。结果表明,当满足相应条件时,所求粒度分布的平均偏差不大于所测散射强度的误差。Abstract: Dividing Distribution Function (DDF) method is one of the methods by which the particle size distribution of ultrafine powder can be evaluated from its small-angle X-ray scattering data. In this paper, the stability of the solution obtained from DDF method has been studied through optimizing the coefficient matrix, introducing a damping factor and a least square treatment. All the calculations were accomplished with a computer. It was shown that the average deviation of the size distribution obtained is not greater than the error of the scattering intensity measured as long as the corresponding requirements are met.
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