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A continuum of molecular weight distributions applicable to linear homopolymers
Author(s) -
Gloor Walter E.
Publication year - 1975
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.1975.070190122
Subject(s) - polystyrene , weibull distribution , thermodynamics , polymer , molar mass distribution , vinyl chloride , materials science , exponential function , statistical physics , polymer chemistry , physics , mathematics , mathematical analysis , statistics , composite material , copolymer
An array or continuum of molecular weight distributions was set up, based upon the numerical solutions found for the theoretical log‐normal (LN) and generalized exponential (Gex) distribution functions, for a range of M w / M n = H ratios. For the Gex distributions, m > 0 in the continuum, and the theoretical Schulz–Zimm and Tung–Weibull distributions, in which m ≥ 1 for H ≤ 31, are located within the continuum. The LN distribution is the broadest, and the Gex‐related distributions become narrower as the numerical value of m increases. From literature data for polystyrene, poly(vinyl chloride), linear polyethylene, and polypropylene, one can assign to these polymers specific molecular weight distributions that fall within the continuum.