Abstract

Introducing the concept of a paracrystal, a dispersion relation is obtained relating the energy to the wave vector of an electron, moving in a disordered structure with strong angular correlations. The potential field is assumed to be of the muffin-tin type and concerning the configurational averaging technique, the quasi-crystalline approximation is used throughout the paper. The results of the KKR method for the study of energy bands in crystals and of the PZ theory concerning the electronic structure of liquid metals are particular cases of the general theory. Finally, the method is applied to a simple model of an assembly of pointscatterers, constituting an ideal paracrystal.

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