Unperturbed dimensions of polymers revisited through the blob theory: the viscometric expansion factor

Autor: Dondos Anastasios
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: e-Polymers, Vol 2013, Iss 1, Pp 144-152 (2013)
Druh dokumentu: article
ISSN: 1618-7229
DOI: 10.1515/epoly.2013.2013.1.144
Popis: Plotting log([η]/M1/2) versus log(N/Nc) where [η] is the intrinsic viscosity of the macromolecular chain of molecular mass equal to M and N/Nc is the number of blobs of which this chain consists (N: the number of statistical segment of the chain and Nc: the number of statistical segment of one blob), we obtain the unperturbed dimensions parameter of the blob, Kθb. This graphical representation in this article is based on a modified, original equation of Han [6] based on the blob theory. The obtained value of Kθb for a given polymer, dissolved in a good solvent, is lower than the unperturbed dimensions parameter, Kθ, obtained for the same polymer in the Flory’s theta conditions. Having Kθb < Kθ we obtain for the viscometric expansion factors of a polymer, based on Kθb or Kθ, αηb > αη. With the obtained values of αηb we find αηb3/αs2αH ≈ 1, as predicted by Weill and des Cloizeauz [1], where using αη we obtain αη3/αs2αH ≈ 0.85 (αs and αH are the static and dynamical expansions factors).
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