Unperturbed dimensions of polymers revisited through the blob theory: the viscometric expansion factor
Plotting log([η]/M1/2) versus log(N/Nc) where [η] is the intrinsic viscosity of the macromolecular chain of molecular mass equal to M and N/Nc is the number of blobs of which this chain consists (N: the number of statistical segment of the chain and Nc: the number of statistical segment of one blob)...
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| Format: | Article |
| Language: | English |
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De Gruyter
2013-08-01
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| Series: | e-Polymers |
| Online Access: | https://doi.org/10.1515/epoly.2013.2013.1.144 |
| _version_ | 1818730418407473152 |
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| author | Dondos Anastasios |
| author_facet | Dondos Anastasios |
| author_sort | Dondos Anastasios |
| collection | DOAJ |
| description | Plotting log([η]/M1/2) versus log(N/Nc) where [η] is the intrinsic viscosity of the macromolecular chain of molecular mass equal to M and N/Nc is the number of blobs of which this chain consists (N: the number of statistical segment of the chain and Nc: the number of statistical segment of one blob), we obtain the unperturbed dimensions parameter of the blob, Kθb. This graphical representation in this article is based on a modified, original equation of Han [6] based on the blob theory. The obtained value of Kθb for a given polymer, dissolved in a good solvent, is lower than the unperturbed dimensions parameter, Kθ, obtained for the same polymer in the Flory’s theta conditions. Having Kθb < Kθ we obtain for the viscometric expansion factors of a polymer, based on Kθb or Kθ, αηb > αη. With the obtained values of αηb we find αηb3/αs2αH ≈ 1, as predicted by Weill and des Cloizeauz [1], where using αη we obtain αη3/αs2αH ≈ 0.85 (αs and αH are the static and dynamical expansions factors). |
| first_indexed | 2024-12-17T23:01:28Z |
| format | Article |
| id | doaj.art-8d0aa74679e540509309c9fad82e207b |
| institution | Directory Open Access Journal |
| issn | 1618-7229 |
| language | English |
| last_indexed | 2024-12-17T23:01:28Z |
| publishDate | 2013-08-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | e-Polymers |
| spelling | doaj.art-8d0aa74679e540509309c9fad82e207b2022-12-21T21:29:24ZengDe Gruytere-Polymers1618-72292013-08-012013114415210.1515/epoly.2013.2013.1.144Unperturbed dimensions of polymers revisited through the blob theory: the viscometric expansion factorDondos Anastasios0Department of Chemical Engineering, University of Patras, 26504 Patras, Greece; tel : + 30 2610 997652Plotting log([η]/M1/2) versus log(N/Nc) where [η] is the intrinsic viscosity of the macromolecular chain of molecular mass equal to M and N/Nc is the number of blobs of which this chain consists (N: the number of statistical segment of the chain and Nc: the number of statistical segment of one blob), we obtain the unperturbed dimensions parameter of the blob, Kθb. This graphical representation in this article is based on a modified, original equation of Han [6] based on the blob theory. The obtained value of Kθb for a given polymer, dissolved in a good solvent, is lower than the unperturbed dimensions parameter, Kθ, obtained for the same polymer in the Flory’s theta conditions. Having Kθb < Kθ we obtain for the viscometric expansion factors of a polymer, based on Kθb or Kθ, αηb > αη. With the obtained values of αηb we find αηb3/αs2αH ≈ 1, as predicted by Weill and des Cloizeauz [1], where using αη we obtain αη3/αs2αH ≈ 0.85 (αs and αH are the static and dynamical expansions factors).https://doi.org/10.1515/epoly.2013.2013.1.144 |
| spellingShingle | Dondos Anastasios Unperturbed dimensions of polymers revisited through the blob theory: the viscometric expansion factor e-Polymers |
| title | Unperturbed dimensions of polymers revisited through the blob theory: the viscometric expansion factor |
| title_full | Unperturbed dimensions of polymers revisited through the blob theory: the viscometric expansion factor |
| title_fullStr | Unperturbed dimensions of polymers revisited through the blob theory: the viscometric expansion factor |
| title_full_unstemmed | Unperturbed dimensions of polymers revisited through the blob theory: the viscometric expansion factor |
| title_short | Unperturbed dimensions of polymers revisited through the blob theory: the viscometric expansion factor |
| title_sort | unperturbed dimensions of polymers revisited through the blob theory the viscometric expansion factor |
| url | https://doi.org/10.1515/epoly.2013.2013.1.144 |
| work_keys_str_mv | AT dondosanastasios unperturbeddimensionsofpolymersrevisitedthroughtheblobtheorytheviscometricexpansionfactor |