Pervaded volume

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"Rubinstein, M and Colby, R. "Polymer Physics". 2003, 13.] .

Scaling

The pervaded volume V scales as the cube of the chain size

V approx R^3

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 chainSi L., Massa, M. V., Dalnoki-Veress K., brown H. R., and Jones R. A. L., Physical Review Letters, 94, 127801(2005).] . 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.

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 .

References

External links

* http://jfi.uchicago.edu/~tten/Geometric/Geometric.pdf


Wikimedia Foundation. 2010.

Игры ⚽ Нужна курсовая?

Look at other dictionaries:

  • Polymer — Appearance of real linear polymer chains as recorded using an atomic force microscope on surface under liquid medium. Chain contour length for this polymer is 204 nm; thickness is 0.4 nm.[1] A polymer is a large molecule (macromolecule …   Wikipedia

  • Europe, history of — Introduction       history of European peoples and cultures from prehistoric times to the present. Europe is a more ambiguous term than most geographic expressions. Its etymology is doubtful, as is the physical extent of the area it designates.… …   Universalium

  • South Asian arts — Literary, performing, and visual arts of India, Pakistan, Bangladesh, and Sri Lanka. Myths of the popular gods, Vishnu and Shiva, in the Puranas (ancient tales) and the Mahabharata and Ramayana epics, supply material for representational and… …   Universalium

  • biblical literature — Introduction       four bodies of written works: the Old Testament writings according to the Hebrew canon; intertestamental works, including the Old Testament Apocrypha; the New Testament writings; and the New Testament Apocrypha.       The Old… …   Universalium

  • HEBREW LITERATURE, MODERN — definition and scope beginnings periodization …   Encyclopedia of Judaism

  • Egypt, ancient — Introduction  civilization in northeastern Africa dating from the 3rd millennium BC. Its many achievements, preserved in its art and monuments, hold a fascination that continues to grow as archaeological finds expose its secrets. This article… …   Universalium

  • Nobel Prizes — ▪ 2009 Introduction Prize for Peace       The 2008 Nobel Prize for Peace was awarded to Martti Ahtisaari, former president (1994–2000) of Finland, for his work over more than 30 years in settling international disputes, many involving ethnic,… …   Universalium

  • Italian literature — Introduction       the body of written works produced in the Italian language that had its beginnings in the 13th century. Until that time nearly all literary work composed in the Middle Ages was written in Latin. Moreover, it was predominantly… …   Universalium

  • Gender — This article is about the distinction between male and female entities and concepts. For other uses, see Gender (disambiguation). Gender is a range of characteristics used to distinguish between males and females, particularly in the cases of men …   Wikipedia

  • Ctenophore — Taxobox name = Comb jellies image caption = Ctenophorae from Ernst Haeckel s Kunstformen der Natur , 1904 domain = Eukaryota regnum = Animalia phylum = Ctenophora phylum authority = Eschscholtz, 1829 subdivision ranks = Classes subdivision =… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”