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'''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".<ref name ="MR PolyPhys">Rubinstein, M and Colby, R. "Polymer Physics". 2003, 13.</ref>
 
== Scaling ==
 
The pervaded volume V scales as the cube of the chain size
 
<math>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.<ref name =Si>Si L., Massa, M. V., Dalnoki-Veress K., brown H. R., and Jones R. A. L., Physical Review Letters, 94, 127801(2005).</ref> 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.<ref name="MR PolyPhys"/>
 
== 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.<ref name =Si/>
 
== See also ==
* [[Radius of Gyration]]
* [[Coil-globule transition]]
* [[Excluded volume]]
 
== References ==
<references/>
 
== External links ==
* http://jfi.uchicago.edu/~tten/Geometric/Geometric.pdf
 
[[Category:Polymer physics]]
 
 
{{polymer-stub}}

Latest revision as of 17:55, 22 September 2013

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

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

References

  1. 1.0 1.1 Rubinstein, M and Colby, R. "Polymer Physics". 2003, 13.
  2. 2.0 2.1 Si L., Massa, M. V., Dalnoki-Veress K., brown H. R., and Jones R. A. L., Physical Review Letters, 94, 127801(2005).

External links


Template:Polymer-stub