The equation describing the dependence of the @[email protected] of a polymer on its @[email protected] (@[email protected]) and having the form: \[[\eta] = K\cdot M_{\text{r}}^{a}\] where \([\eta]\) is the intrinsic @[email protected], \(K\) and \(a\) are constants the values of which depend on the nature of the polymer and solvent as well as on temperature and \(M_{\text{r}}\) is usually one of the @[email protected] averages.
  1. The use of this equation with the @[email protected] (@[email protected]) is recommended, rather than with molar mass (which has the dimension of mass divided by @[email protected]), since in the latter case the constant \(K\) assumes awkward and @[email protected] dimensions owing to the fractional and @[email protected] nature of the exponent \(a\).
  2. Kuhn and Sakurada have also made important contributions and their names are sometimes included, as, for example, in the Kuhn–Mark–Houwink–Sakurada equation.
Purple Book, 1st ed., p. 64 [Terms] [Book]