Abstract

Linear α-olefins or LAOs are produced by the catalytic oligomerisation of ethylene on a multimillion ton scale annually. A range of LAOs is typically obtained with varying chain lengths which follow a distribution. Depending on the catalyst, various types of distributions have been identified, such as Schulz–Flory, Poisson, alternating and selective oligomerisations such as ethylene trimerisation to 1-hexene and tetramerisation to 1-octene. A comprehensive mathematical analysis for all oligomer distributions is presented, showing the relations between the various distributions and with ethylene polymerisation, as well as providing mechanistic insight into the underlying chemical processes.

中文翻译：

---

乙烯低聚和聚合的数学

摘要

线性α-烯烃或LAOs是通过乙烯每年数百万吨规模的催化低聚反应生产的。通常通过遵循分布的变化链长来获得一系列LAO。根据催化剂的不同，已经确定了各种类型的分布，例如舒尔茨-弗洛里（Schulz-Flory），泊松（Poisson），交替和选择性低聚，例如乙烯三聚为1-己烯和四聚为1-辛烯。提出了对所有低聚物分布的综合数学分析，显示了各种分布之间的关系以及乙烯聚合的过程，并提供了对基本化学过程的机械洞察力。