不饱和烃同系物凝聚型物理性质递变规律的数学描述

Regularity for Condensed-Type Physical Properties of Aliphatic Unsaturated Hydrocarbon Homologous Compounds

以H-(CH2)n-CH=CH2和H-(CH2)n-C≡CH型同系物结构重复单元数值连续变化为模型,获得了描述该同系物凝聚型物理性质递变规律的数学表达式:P=(a0+a1n+a2n2)/(1+b2n2),式中a0、a1、a2、b2均为常数,n为结构重复单元数值,P为同系物的凝聚型物理性质。通过非线性回归分析,得到回归方程,结果表明同系物的凝聚型物理性质与重复结构单元数值之间满足上述关系式,并显示优良的相关性。

With the model that the number of repeating units of the H-(CH2)n-CH=CH2 and H-(CH2)n-C≡CH type homologous series varies successively, it was able to be described as the following equations: p=(a0+a1n+a2n2)/(1+b2n2),where a0、a1、a2、b2 all refer to the constants, n to the number of repeating units, p to the physical properties of homologous compounds. Significant correlation was found between the physical properties of homologous compounds and their number of repeating units in this model.