Back to Archived Journals » Reports in Theoretical Chemistry » Volume 4

Does ethylene gas collapse on polymerization to polyethylene?

Authors Satheesh N, Padmanabhan A

Received 18 May 2015

Accepted for publication 15 December 2015

Published 18 March 2016 Volume 2016:4 Pages 1—9


Checked for plagiarism Yes

Review by Single-blind

Peer reviewer comments 4

Editor who approved publication: Dr Jorge Llano

Video abstract presented by AS Padmanabhan.

Views: 237

Nisha Satheesh, AS Padmanabhan

School of Chemical Sciences and Centre for High Performance Computing, Mahatma Gandhi University, Kottayam, Kerala, India

Abstract: In this paper, we consider the question whether ethylene gas on polymerizing to linear polyethylene (PE) collapses from a coil-like state to a globular state on completion of the reaction. Our calculations seem to indicate that this is the case. In an attempt to explain this phenomenon, we define a statistic called the average atmosphere of a self-avoiding walk (SAW). We further demonstrate by means of exact enumeration that the expectation of this average and its variance differ for SAW with uniform probability distribution and growing SAW. For growing PE, we use the distribution used for growing self-avoiding walks with attraction between atoms being accounted for by means of an empirical potential energy function.

Keywords: coil, globular, average atmosphere, self-avoiding walk, repulsion, attraction

Creative Commons License This work is published and licensed by Dove Medical Press Limited. The full terms of this license are available at and incorporate the Creative Commons Attribution - Non Commercial (unported, v3.0) License. By accessing the work you hereby accept the Terms. Non-commercial uses of the work are permitted without any further permission from Dove Medical Press Limited, provided the work is properly attributed. For permission for commercial use of this work, please see paragraphs 4.2 and 5 of our Terms.

Download Article [PDF]  View Full Text [HTML][Machine readable]