Abstract
AbstractA theory is developed for the intrinsic viscosity of chain molecules in solution. The molecules are assumed to be composed of many repeating units called segments, which are distributed spherically around the center of each molecule. An integral equation similar to, yet different from, that of Kirkwood and Riseman is set up. This equation does not require the replacement of the Oseen hydrodynamical interaction tensor by its diagonal element and yields a new viscosity formula. This formula is rather general and is characterized by the Fourier transform of the segment distribution function and the eigenvalue λ(k) of the Oseen tensor expressed in momentum space. In the absence of hydrodynamical interactions between segments the formula is reduced to the Debye formula for the Staudinger empirical law. In the presence of interactions the eigenvalue λ(0) characterizes the viscosity. This eigenvalue is related to the average characteristic length of a chain molecule, through which the molecular‐weight dependence of the viscosity comes in.
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