# Relation between Seebeck coefficient and electrical resistivity?

I was wondering if there is a mathematical relation between the Seebeck coefficient of a material and its electrical resistivity (or conductance). For me it makes sense intuitively since (as far as I understand) the Seebeck coefficient and the resistivity are explained by relatively similar quantum mechanical processes.

There is a well known formula called the Mott formula that relates the Seebeck coefficient to the conductivity (the inverse of the resistivity). It states that $$S \propto \left ( \frac{\partial \ln (\sigma(\epsilon))}{\partial \epsilon} \right )_{\epsilon=E_\text{f}}$$ for metals. There is a version of it for semiconductors and generalizations in some circumstances. It is widely used and appears in solid state/condensed matter textbooks.