  A tight-binding model is fit to first-principles calculations for copper that
include structures distorted according to elastic constants and high-symmetry
phonon modes. With the resulting model the first-principles-based phonon
dispersion and the free energy are calculated in the quasi-harmonic
approximation. The resulting thermal expansion, the temperature- and
volume-dependence of the elastic constants, the Debye temperature, and the
Gruneisen parameter are compared with available experimental data.
