Abstract
Time-dependent scattering functions have been numerically calculated from a rigorous version of the Rouse–Zimm theory for different values of the scattering variable, the chain length and the hydrodynamic interaction. These functions can be directly related to measurements of quasielastic light scattering from flexible polymers in solution. The results are analysed and fitted to simple functions commonly employed in the treatment of experimental data. Changes in the values of the fitting parameters with chosen time ranges are studied. A description of the scattering functions from the theoretical values of their first, second, and third derivatives at short times is considered and discussed. Also, a simple approximate formula is derived. This formula gives a reasonably good description of the exact results for many realistic cases.
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Escudero, J., Freire, J. Time-Dependent Scattering Functions of Rouse–Zimm Polymer Chains. Polym J 14, 277–287 (1982). https://doi.org/10.1295/polymj.14.277
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DOI: https://doi.org/10.1295/polymj.14.277