Mean Square Displacement and Reorientational Correlation Function in Entangled Polymer Melts Revealed by Field Cycling 1H and 2H NMR Relaxometry

2012 ◽  
Vol 45 (16) ◽  
pp. 6516-6526 ◽  
Author(s):  
A. Herrmann ◽  
B. Kresse ◽  
M. Wohlfahrt ◽  
I. Bauer ◽  
A. F. Privalov ◽  
...  
2014 ◽  
Vol 47 (22) ◽  
pp. 7917-7929 ◽  
Author(s):  
M. Hofmann ◽  
B. Kresse ◽  
A. F. Privalov ◽  
L. Willner ◽  
N. Fatkullin ◽  
...  

Polymers ◽  
2019 ◽  
Vol 11 (9) ◽  
pp. 1405 ◽  
Author(s):  
Ji-Xuan Hou

A dynamic method to determine the main parameter of the tube theory through monomer mean-square displacement is discussed in this paper. The tube step length can be measured from the intersection of the slope- 1 2 line and the slope- 1 4 line in log-log plot, and the tube diameter can be obtained by recording the time at which g 1 data start to leave the slope- 1 2 regime. According to recent simulation data, the ratio of the tube step length to the tube diameter was found to be about 2 for different entangled polymer systems. Since measuring the tube diameter does not require g 1 data to reach the slope- 1 4 regime, this could be the best way to find the entanglement length from microscopic consideration.


2007 ◽  
Vol 40 (8) ◽  
pp. 2946-2954 ◽  
Author(s):  
Chen-Yang Liu ◽  
Roland Keunings ◽  
Christian Bailly

2007 ◽  
Vol 51 (3) ◽  
pp. 451-464 ◽  
Author(s):  
Fang Xu ◽  
Morton M. Denn ◽  
Jay D. Schieber

2020 ◽  
Vol 53 (19) ◽  
pp. 8400-8405
Author(s):  
Brandon L. Peters ◽  
K. Michael Salerno ◽  
Ting Ge ◽  
Dvora Perahia ◽  
Gary S. Grest

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