On the calculation of electron density of states in disordered metals

It is demonstrated that in a full nonlocal pseudopotential calculation of the density of states, the results from the standard formula, $\text{N(E) = N(E}{}_{\mathrm{<mtext>FE</mtext>}}\text{)k (}\text{?E}{}_{\mathrm{<mtext>k</mtext>}}\text{?k}\text{)}{}^{\mathrm{?1}}$, do not differ significantly from those using the Green-function method and are reliable for simple liquid metals, despite the fact that there is an uncertainty in treating E_k as a dispersion function.