Reconstructing the thermodynamic properties out of scattering cross sections

Using Green's functions of electrons scattered at an impurity site, I derive expressions for the energy όU solely in terms of the electronic scattering cross section,, My formulas can correlate the excess specific heat of dilute alloys with their resistivity. Formulas are derived for nontrivial scattering mechanisms illustrated by three well-known models, all capable of exhibiting the anomalous scattering known as the Kondo effect.