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Bernoullian, Terminal, Penultimate or Third Order Markov Statistics?
Author(s) -
Karssenberg Frederik G.,
Piel Christian,
Hopf Andreas,
Mathot Vincent B. F.,
Kaminsky Walter
Publication year - 2005
Publication title -
macromolecular theory and simulations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.37
H-Index - 56
eISSN - 1521-3919
pISSN - 1022-1344
DOI - 10.1002/mats.200500005
Subject(s) - metallocene , propene , terminal (telecommunication) , third order , markov chain , polymer chemistry , chemistry , materials science , thermodynamics , mathematics , catalysis , organic chemistry , physics , polymer , computer science , polymerization , statistics , telecommunications , philosophy , theology
Summary: A series of 7 homogeneous ethylene‐propylene copolymers is modeled by a Bernoullian, a terminal, a penultimate and a third order Markov model and it is found that the penultimate model describes this series best. The Bernoullian and terminal model prove to be insufficient and the third order Markov model is statistically not justified. Based on these results, a criterion to select the optimal Markovian order of homogeneous, single site catalyst produced copolymers is developed.Schematic of the [(3‐MePh)(4‐MePh)C(2,7‐di‐ tert ‐BuFlu)(Cp)]ZrCl 2 metallocene copolymerizing ethene and propene.