  Thermal electronic excitations in metal crystals are calculated by starting
with a reference structure for the nuclei: the crystal structure of the
appropriate phase. Here we explain the corresponding theory for metal liquids,
starting with an appropriate reference structure for a liquid. We explain the
significance of these structures, and we briefly review how to find them and
calculate their properties. Then we examine the electronic densities of states
for liquid structures of Na, Al, and Cu, comparing them to their crystal forms.
Next we explain how to calculate the dominant electronic thermal excitation
term, considering issues of accuracy that do not arise in the crystal theory.
Finally we briefly discuss the contribution from the interaction between
excited electrons and moving nuclei.
