2002
DOI: 10.1021/ma025659z
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Prediction of Melt State Poly(α-olefin) Rheological Properties:  The Unsuspected Role of the Average Molecular Weight per Backbone Bond

Abstract: It has previously been shown that the entanglement molecular weight (Me) and the plateau modulus (G N 0 ) of flexible polymers can be correlated to the unperturbed chain dimension, 〈R 2 〉0/M, chain density (F) via the use of the packing length (p), which is defined as the volume of a chain divided by its mean square end to end distance. For polyolefins and co-polyolefins where 〈R 2 〉0/M remains unmeasured a method is presented herein where knowledge of the average molecular weight per backbone bond (mb) allows… Show more

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Cited by 118 publications
(205 citation statements)
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“…This approach is based on the concept [57][58][59][60][61] of the packing length (p) that combines the conformational and volume filling properties of a chain into a parameter independent of chain length. The packing length (p) is defined by the unperturbed chain dimension, polymer density (r) and the Avogadro number (N a ) as follows:…”
Section: Calculated Rheological Parametersmentioning
confidence: 99%
“…This approach is based on the concept [57][58][59][60][61] of the packing length (p) that combines the conformational and volume filling properties of a chain into a parameter independent of chain length. The packing length (p) is defined by the unperturbed chain dimension, polymer density (r) and the Avogadro number (N a ) as follows:…”
Section: Calculated Rheological Parametersmentioning
confidence: 99%
“…The characteristic ratio of R 2 g 1=2 = M M 1=2 w was 0.46 based on small-angle neutron scattering (SANS) measurements (Fetters et al, 2002). The polymer blends were prepared by a solution-mixing procedure to ensure the thorough blending of the two different species at the molecular level.…”
mentioning
confidence: 99%
“…This correlation comes from an observation of how the dimensions of chains depend on a simple feature of the chemical architecture, which is m b , the molecular weight per backbone bond [37]. In Fig.…”
Section: Models Of Chain Dimensionsmentioning
confidence: 99%
“…6 satisfies the main objective of a reasonable estimate of l p for most polyolefins in the melt. The clearest outlier is syndiotactic polypropylene (sPP), which is known to have large chain dimensions due to a preponderance of trans rotations [37]. The variation of l p with m b is mostly due to changes in the "thickness" of the chain (i.e., how much of the chain is in the side branches instead of in the backbone), but also is partly a result of differences in chain stiffness (i.e., the tendency for trans vs. gauche rotations).…”
Section: Models Of Chain Dimensionsmentioning
confidence: 99%