Alternative Transition-Metal Pseudopotential

We consider the pseudopotential interaction between the $s$-like electrons in metals that also contain $d$ electrons, using Hubbard's hybrid representation of the Korringa-Kohn-Rostoker (KKR) band-structure method, in a manner similar to that recently employed by the author in discussing the total energy of $d$-band metals. The interaction is formulated as a sum of two parts: (1) a direct interaction between orthogonalized plane waves (OPW's), which is similar to the "transition-metal pseudopotential" recently defined by Harrison from a modified OPW viewpoint, and (2) an indirect interaction via the $d$ electrons, similar to Harrison's "hybridizing terms." We then combine these two parts and arrive at the KKR-Ziman form of the pseudopotential as the resultant effective interaction. The author's previous result for the total energy of an alkaline earth or noble metal is reinterpreted as the consequence of using the KKR-Ziman pseudopotential with a $d$-scattering resonance.