Macromolecules, Vol.35, No.8, 3184-3188, 2002
Scattering by modestly concentrated polymer solutions
The angular dependence of static scattering intensity for polymer solutions beyond coil overlap is commonly associated with excluded-volume screening behavior. This interpretation is supported by the power-law concentration dependence for sizes obtained with an Ornstein-Zernike analysis and agreement with the predicted exponents for screening length. However, the data supporting these power laws continue unabated to concentrations well beyond the range of significant volume exclusion, yielding physically unrealistic lengths and suggesting some fundamental flaw in the screening interpretation. An alternative, nonscreening interpretation is offered in this paper. It is based on the de Gennes equation, already widely used for determining chain dimensions and interaction strength in polymer blends. It is applied here, seemingly for the first time, to the scattering from solutions of polymers in both good and Theta solvents. It accounts reasonably well, without freely adjustable parameters, for published data on several systems and eliminates the apparent anomalies that a screening interpretation introduces. The analysis seems able to provide two quantities not easily obtained at modest concentrations, a size measure for the unperturbed polymer, R-g(2)/M, and the polymer-solvent interaction parameter, chi.