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We discuss theoretically and numerically the intramolecular form factor$F(q)$ in dense polymer systems. Following Flory's ideality hypothesis, chainsin the melt adopt Gaussian configurations and their form factor is supposed tobe 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 theincompressibility of dense polymer solutions beyond a local scale. The Kratkyplot ($q^2F(q)$ {\it vs.} wavevector $q$) does not exhibit the plateau expectedfor Gaussian chains in the intermediate $q$-range. One rather finds asignificant decrease according to the correction $\delta(F^{-1}(q)) =q^3/32\rho$ that only depends on the concentration $\rho$ of the solution, butneither on the persistence length or the interaction strength.Comment: 29 pages, 11 figures, submitted to Macromolecule

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