Determination of Molecular Weight Distributions from Rheological Data: An Application to Polystyrene, Polymethylmethacrylate and Isotactic Polypropylene
Based on a recently introduced generalized mixing rule, which contains the results of the reptation and double reptation model as special cases, it is possible to determine the molecular weight distribution (MWD) from rheological data. By evaluating data from bimodal PS-mixtures Maier et al. (1998)...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
1999-08-01
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| Series: | Applied Rheology |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/arh-2009-0010 |
| _version_ | 1819131487908265984 |
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| author | Thimm Wolfgang Friedrich Christian Maier Dieter Marth Michael Honerkamp Josef |
| author_facet | Thimm Wolfgang Friedrich Christian Maier Dieter Marth Michael Honerkamp Josef |
| author_sort | Thimm Wolfgang |
| collection | DOAJ |
| description | Based on a recently introduced generalized mixing rule, which contains the results of the reptation and double reptation model as special cases, it is possible to determine the molecular weight distribution (MWD) from rheological data. By evaluating data from bimodal PS-mixtures Maier et al. (1998) have shown how the MWD can be estimated from the relaxation shear modulus, G(t), using an inversion method. Thimm et al. (1999) derived an analytical relation between the relaxation time spectrum and the MWD, which is able to reproduce the result of Maier et al. (1998) with less computational effort. In this article we compare both methods by evaluating data from three different series of polymer mixtures: Polystyrene (PS), Polymethylmethacrylate (PMMA) and isotactic Polypropylene (iPP). We compare the MWD obtained from rheological data with results from size exclusion chromatography (SEC) and discuss differences. |
| first_indexed | 2024-12-22T09:16:18Z |
| format | Article |
| id | doaj.art-334bbbe57ff146e4b8a878781d210519 |
| institution | Directory Open Access Journal |
| issn | 1617-8106 |
| language | English |
| last_indexed | 2024-12-22T09:16:18Z |
| publishDate | 1999-08-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Applied Rheology |
| spelling | doaj.art-334bbbe57ff146e4b8a878781d2105192022-12-21T18:31:19ZengDe GruyterApplied Rheology1617-81061999-08-019415015710.1515/arh-2009-0010Determination of Molecular Weight Distributions from Rheological Data: An Application to Polystyrene, Polymethylmethacrylate and Isotactic PolypropyleneThimm Wolfgang0Friedrich Christian1Maier Dieter2Marth Michael3Honerkamp Josef4Freiburger Materialforschungszentrum, Stefan-Meier-Strasse 21, 79104Freiburg im Breisgau, Germany, Fax: x49.761.2034709Freiburger Materialforschungszentrum, Stefan-Meier-Strasse 21, 79104Freiburg im Breisgau, Germany, Fax: x49.761.2034709Freiburger Materialforschungszentrum, Stefan-Meier-Strasse 21, 79104Freiburg im Breisgau, Germany, Fax: x49.761.2034709Freiburger Materialforschungszentrum, Stefan-Meier-Strasse 21, 79104Freiburg im Breisgau, Germany, Fax: x49.761.2034709Freiburger Materialforschungszentrum, Stefan-Meier-Strasse 21, 79104Freiburg im Breisgau, Germany, Fax: x49.761.2034709Based on a recently introduced generalized mixing rule, which contains the results of the reptation and double reptation model as special cases, it is possible to determine the molecular weight distribution (MWD) from rheological data. By evaluating data from bimodal PS-mixtures Maier et al. (1998) have shown how the MWD can be estimated from the relaxation shear modulus, G(t), using an inversion method. Thimm et al. (1999) derived an analytical relation between the relaxation time spectrum and the MWD, which is able to reproduce the result of Maier et al. (1998) with less computational effort. In this article we compare both methods by evaluating data from three different series of polymer mixtures: Polystyrene (PS), Polymethylmethacrylate (PMMA) and isotactic Polypropylene (iPP). We compare the MWD obtained from rheological data with results from size exclusion chromatography (SEC) and discuss differences.https://doi.org/10.1515/arh-2009-0010double reptationdetermination of molecular weight distributionmixing ruleill-posed inverse problems in rheology |
| spellingShingle | Thimm Wolfgang Friedrich Christian Maier Dieter Marth Michael Honerkamp Josef Determination of Molecular Weight Distributions from Rheological Data: An Application to Polystyrene, Polymethylmethacrylate and Isotactic Polypropylene Applied Rheology double reptation determination of molecular weight distribution mixing rule ill-posed inverse problems in rheology |
| title | Determination of Molecular Weight Distributions from Rheological Data: An Application to Polystyrene, Polymethylmethacrylate and Isotactic Polypropylene |
| title_full | Determination of Molecular Weight Distributions from Rheological Data: An Application to Polystyrene, Polymethylmethacrylate and Isotactic Polypropylene |
| title_fullStr | Determination of Molecular Weight Distributions from Rheological Data: An Application to Polystyrene, Polymethylmethacrylate and Isotactic Polypropylene |
| title_full_unstemmed | Determination of Molecular Weight Distributions from Rheological Data: An Application to Polystyrene, Polymethylmethacrylate and Isotactic Polypropylene |
| title_short | Determination of Molecular Weight Distributions from Rheological Data: An Application to Polystyrene, Polymethylmethacrylate and Isotactic Polypropylene |
| title_sort | determination of molecular weight distributions from rheological data an application to polystyrene polymethylmethacrylate and isotactic polypropylene |
| topic | double reptation determination of molecular weight distribution mixing rule ill-posed inverse problems in rheology |
| url | https://doi.org/10.1515/arh-2009-0010 |
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