Diffusion and relaxation time of polymers in dilute solutions
Open Access
- 1 January 1978
- journal article
- Published by EDP Sciences in Journal de Physique Lettres
- Vol. 39 (10), 151-154
- https://doi.org/10.1051/jphyslet:019780039010015100
Abstract
It is shown that for a polymer in a dilute solution, the hydrodynamic radius RH and the radius of gyration RG obey an inequality of the form RH > CRG where C is a number which does not depend on the length of the polymer. Here RH is defined by the equality 1/RH = 6 πηβ D where D is the diffusion constant and η the solvent viscosity. At the θ point for large masses, C = 0.265. As the relaxation time τ associated with macroscopic deformations of the polymer is proportional to R2G/D, the inequality shows that the ratio τ/R3G cannot vanish when the mass of the polymer becomes infiniteKeywords
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