| Issue |
J. Phys. II France
Volume 6, Number 5, May 1996
|
|
|---|---|---|
| Page(s) | 587 - 591 | |
| DOI | https://doi.org/10.1051/jp2:1996199 | |
J. Phys. II France 6 (1996) 587-591
Static Properties of a Star Polymer in a High Molecular Weight Solvent
C. Gay and E. RaphaëlLaboratoire de Physique de la Matière Condensée U.R.A. 792 C.N.R.S., Collège de France, 11 Place Marcelin Bertholot, 75231 Paris Cedex 05, France
(Received 15 January 1996, received in final form 11 March 1996, accepted 20 March 1996)
Abstract
Recently, Raphaël, Pincus and Fredrickson considered the static properties of an isolated star
polymer (
f arms,
N monomers per arm) dissolved in a melt of linear chains of degree of
polumerization
P<N, which are chemically identical to the star arms (
Macromolecules
26
(1993) 1996). In the present article we show that the results obtained by these authors are valid
only for stars with a high enough number
f>P1/2. For
f<P1/2, a new Gaussian region
appears within the star structure. We predict that the
N-monomer volume fraction varies
as
(dense region) for
r<af,
for
af < r < aPf-1 and
for
r>aPf-1. Our study is restricted to scaling laws; the exact
prefactores in our formulae remain undetermined.
© Les Editions de Physique 1996