The inverse gaussian density function as applied to the ziegler‐natta catalysis in the oligomerization of ethylene to linear alpha‐olefins

Product distributions taken as a function of the number of ethylene molecules per olefin fraction fit adequately a mostly two parameter inverse Gaussian distribution with a χ 2 goodness of fit, statistical values ranging from 0.016 to 0.037 and levels of significance α, when applicable, ranging from 0 to 0.002. The examples included typical and modified Ziegler‐Natta catalytic systems. Limited data indicate a good applicability for non Ziegler‐Natta homogeneous or heterogeneous systems. Biased reactions showed poor, if any, applicability. A typical Ziegler ethylene growth to linear alpha‐olefins mole data gave a good fit on a three parameter inverse Gaussian distribution. On a speculative basis, the results indicate a common element of underlying mechanism of most of the examined syntheses, possibly associated with a first passage time process such as that found in Brownian motion.