Abstract
The translational diffusion constant of a long chain molecule is evaluated by taking into consideration of the hydrodynamical interactions between the segments of the molecule in the Oseen approximation. The molecules are assumed to be represented by a Gaussian chain for an explicit result, but the basic theory itself can be applied to more general cases. An integral equation similar yet different from that of Kirkwood and Riseman is proposed. A Fourier transform method is presented to solve this integral equation. As a result the diffusion constant can be related to a characteristic length R0 of a polymer molecule.
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