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Statistics of « starburst » polymers
Open accessAbstract
We discuss the growth of completely branched polymer, based on tertiary amine branch points conected by flexible linear portions (« spacers ») each of P monomers. The method is a modified version of the Edwards self consistent fields. We find that ideal « starburst » growth (without any residual secondary amine functions) is restricted to a number of generations m ≤ m1 where m1 ≅ 2.88(ln P + 1.5). This corresponds in space to a limiting radius R1 which increases linearly with P. Well below this limit, the polymer radius R(M), plotted as a function of molecular weight M, should increase like M0.2. Above the limit (R > R 1) we expect compact structures (R ∼ M0.33).
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Cited by
Tomalia, D. A., Naylor, A. M., & Goddard, W. A. (1990) · Angewandte Chemie International Edition in English · doi:10.1002/anie.199001381 · Cited by 3,211
Functional Polymers and Dendrimers: Reactivity, Molecular Architecture, and Interfacial Energy
Fréchet, J. M. J. (1994) · Science · doi:10.1126/science.8134834 · Cited by 1,449
Dendron-Mediated Self-Assembly, Disassembly, and Self-Organization of Complex Systems
Rosen, B. M., Wilson, C. J., Wilson, D. A., Peterca, M., Imam, M. R., & Percec, V. (2009) · Chemical Reviews · doi:10.1021/cr900157q · Cited by 1,204
Tomalia, D. A. (2005) · Progress in Polymer Science · doi:10.1016/j.progpolymsci.2005.01.007 · Cited by 1,115
Discovery of dendrimers and dendritic polymers: A brief historical perspective*
Tomalia, D. A., & Fréchet, J. M. J. (2002) · Journal of Polymer Science Part A: Polymer Chemistry · doi:10.1002/pola.10301 · Cited by 908
Metadata
- Authors
- de Gennes, P. G., & Hervet, H.
- Venue
- Journal de Physique Lettres
- Publisher
- EDP Sciences
- Published
- 1983
- Volume
- 44
- Issue
- 9
- Pages
- 351-360
- ISSN
- 0302-072X (ISSN-L)
- OpenAlex
- W2009770736
- Cited by
- 556
- References
- 0
- FWCI
- 0.55
- Type
- journal article
- Language
- fr
- Open access
- green
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- de Gennes, P. G., & Hervet, H. (1983). Statistics of « starburst » polymers. Journal de Physique Lettres. https://doi.org/10.1051/jphyslet%3A01983004409035100
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