Abstract
The Einstein temperature of a tight-binding metal is obtained from the energy required to displace an atom from equilibrium with no movement of neighbouring atoms. In the non-magnetic case the change in repulsive energy between atoms gives a large positive contribution varying parabolically with the number of electrons/atom, whilst the change in band energy acts to reduce theta E, particularly for a half filled band. Magnetism gives a positive contribution to theta E due to the magnetisation dependence of the band distortion energy, and a negative contribution due to the smaller short-range repulsion in the magnetic state.