Intramolecular Form Factor in Dense Polymer Systems: Systematic Deviations from the Debye formula

Details Intramolecular Form Factor in Dense Polymer Systems: Systematic Deviations from the Debye formula Intramolecular Form Factor in Dense Polymer Systems: Systematic Deviations from the Debye formula

2007-01-11

arxiv.org/abs/cond-mat/0701261v1

Physics

Condensed Matter

Soft Condensed Matter

29 pages, 11 figures, submitted to Macromolecules

Scientific paper

10.1021/ma0626113

We discuss theoretically and numerically the intramolecular form factor $F(q)$ in dense polymer systems. Following Flory's ideality hypothesis, chains in the melt adopt Gaussian configurations and their form factor is supposed to be given by Debye's formula. At striking variance to this, we obtain noticeable (up to 20%) non-monotonic deviations which can be traced back to the incompressibility of dense polymer solutions beyond a local scale. The Kratky plot ($q^2F(q)$ {\it vs.} wavevector $q$) does not exhibit the plateau expected for Gaussian chains in the intermediate $q$-range. One rather finds a significant decrease according to the correction $\delta(F^{-1}(q)) = q^3/32\rho$ that only depends on the concentration $\rho$ of the solution, but neither on the persistence length or the interaction strength.

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