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本文将正态分布推广为含有三个参数的概率密度函数,称为半正态分布,由半正态分布引出的对数半正态分布,是一个适应范围较广的分子量分布函数。此分布函数在W.E.Gloor建立的分子量分布的连续统中所占的区域,包括从Schulz分布到对数正态分布之间的曲边角形地带,所以它的适应范围比较宽广。此外,由于半正态分布保留了正态分布的某些性质,故可用它来处理凝胶渗透色谱数据,特别是对于不对称的谱图,其优越性更能显示出来,本文还给出了若干计算公式和图表,应用这些计算公式和图表,可以极简捷地算出各种平均分子量,也可以从三种平均分子量反过来计算分布参数。
In this paper, the normal distribution is generalized to a probability density function containing three parameters, which is called the semi-normal distribution. The log-normal distribution is derived from the semi-normal distribution. It is a widely distributed molecular weight distribution function. This distribution function is broadly adapted to the area of the continuum of molecular weight distributions established by W.E. Glolo, including the curved corner between the Schulz distribution and the log-normal distribution. In addition, since the semi-normal distribution retains some properties of the normal distribution, it can be used to process gel permeation chromatography data, especially for asymmetric spectra. This article also presents Several calculation formulas and charts, using these calculation formulas and charts, make it easy to calculate various average molecular weights, and you can calculate distribution parameters from the three average molecular weights.