Allowance for polymolecularity in polymer structure‐property relationships
作者:
Rolf E. Bareiss,
Oscar Chiantore,
Marino Guaita,
期刊:
Die Makromolekulare Chemie
(WILEY Available online 1982)
卷期:
Volume 183,
issue 4
页码: 951-962
ISSN:0025-116X
年代: 1982
DOI:10.1002/macp.1982.021830419
出版商: Hüthig&Wepf Verlag
数据来源: WILEY
摘要:
AbstractRelations between molar massMand molar mass dependent propertiesEof polymers are mostly strictly valid only for monomolecular samples i:\documentclass{article}\pagestyle{empty}\begin{document}$ M_i = {\rm f (}E_i )\quad \quad \quad \quad \quad \quad (1{\rm a}) $\end{document}For polymolecular polymer samples thecorresponding averagesMavandEavmust be applied:\documentclass{article}\pagestyle{empty}\begin{document}$ M_{{\rm av}} = {\rm f (}E_{{\rm av}} )\quad \quad \quad \quad \quad \quad (1{\rm b}) $\end{document}Provided the kind of average (number‐, weight‐ or any general average) of e.g.Mavis known, the corresponding averageEavis given by. Eqs. (1a, b). This is demonstrated for the relationships of van't Hoff and Mark‐Houwink, frequently used for the determination of molar masses of polymers. It is also shown that the four different relations for the expansion factor α by Flory‐Stockmayer, Fixman, Ptitsyn, and by Yamakawa‐Tanaka can be applied topolymolecularpolymer samples (i.e. without fractionation), provided the corresponding averages[η]avandMavfrom the Mark‐Houwink relationship are taken for the evaluation of the para
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