Mark–Houwink equation

https://doi.org/10.1351/goldbook.M03706
The equation describing the dependence of the intrinsic viscosity of a polymer on its relative molecular mass (molecular weight) and having the form: \[[\eta] = K\cdot M_{\text{r}}^{a}\] where [η] is the intrinsic viscosity, K and a are constants the values of which depend on the nature of the polymer and solvent as well as on temperature and Mr is usually one of the relative molecular mass averages.
Notes:
  1. The use of this equation with the @R05271@ (@M04000@) is recommended, rather than with molar mass (which has the dimension of mass divided by @A00297@), since in the latter case the constant K assumes awkward and @V06600@ dimensions owing to the fractional and @V06600@ 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.
Source:
Purple Book, 1st ed., p. 64 (http://old.iupac.org/publications/books/author/metanomski.html)