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Determination of the Catalytic Sites for Ziegler‐Natta Homo‐Polymerization from GPC Data
Authors:Sridhar V. Maddipati  W. Nicholas Delgass  James M. Caruthers
Abstract:Deconvolution of the MWD of a polymer produced by multi‐site catalysts into independent Flory modes is the first step in modeling the polymerization process. A new deconvolution procedure for GPC data is developed that does not require an a priori assumption concerning the nature of the discrete distribution and can be used with a continuous distribution. The MWD measured via GPC is a linear function of the individual catalytic sites, but it is numerically ill‐conditioned, preventing direct inversion of the GPC data. Tikhonov regularization has been developed to uniquely invert the MWD. Applying the regularizing method to a polyethylene produced via a Ziegler‐Natta catalyst, seven discrete sites were found, and the kinetic constant ratios were determined for each of these sites.
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Keywords:molecular weight distribution  monomers  multi‐site catalysts  regularization  Ziegler‐Natta polymerization
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