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The inverse gaussian density function as applied to the ziegler‐natta catalysis in the oligomerization of ethylene to linear alpha‐olefins
Author(s) -
Favis D. V.
Publication year - 1988
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450660513
Subject(s) - natta , inverse gaussian distribution , ethylene , olefin fiber , gaussian , inverse , statistical physics , distribution function , distribution (mathematics) , catalysis , chemistry , thermodynamics , computational chemistry , materials science , physics , mathematics , mathematical analysis , organic chemistry , polymerization , geometry , polymer
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.