Physics:Pervaded volume
Pervaded volume is a measure of the size of a polymer chain in space. In particular, it is "the volume of solution spanned by the polymer chain".[1]
Scaling
The pervaded volume V scales as the cube of the chain size
[math]\displaystyle{ V \approx R^3 }[/math]
R is some length scale describing the chain conformation such as the radius of gyration or root-mean-square end-to-end distance of the chain.[2] Typically the pervaded volume is very large relative to the space actually occupied by the chain as most of the pervaded volume is usually filled with solvent or other chains.[1]
Applications
Chain pervaded volume is relevant in the morphology and rheology of melt and bulk polymers through its relation to quantities such as the interchain entanglement density, the number of entanglements between different chains per volume.[2]
See also
- Radius of Gyration
- Coil-globule transition
- Excluded volume
References
- ↑ 1.0 1.1 Rubinstein, Michael; Colby, R. (2003). Polymer physics. Oxford New York: Oxford University Press. p. 13. ISBN 978-0-19-852059-7. OCLC 50339757. https://archive.org/details/polymerphysics00rubi_825.
- ↑ 2.0 2.1 Si, Lun; Massa, Michael V.; Dalnoki-Veress, Kari; Brown, Hugh R.; Jones, Richard A. L. (2005-04-01). "Chain Entanglement in Thin Freestanding Polymer Films". Physical Review Letters (American Physical Society (APS)) 94 (12): 127801. doi:10.1103/physrevlett.94.127801. ISSN 0031-9007. PMID 15903962. https://ro.uow.edu.au/cgi/viewcontent.cgi?article=1278&context=engpapers.
External links
- Witten, T. A. (1999). "Polymer Solutions: A Geometric Introduction". Soft Matter Physics. Berlin, Heidelberg: Springer Berlin Heidelberg. pp. 261–288. doi:10.1007/978-3-662-03845-1_8. ISBN 978-3-662-03847-5. http://jfi.uchicago.edu/~tten/Geometric/Geometric.pdf.
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