Lattice spacing relationships and the electronic structure of H.C.P. ζ phases based on silver

Abstract
The lattice spacings of h.e.p. ζ phases in the systems Ag[sbnd]Cd, Ag[sbnd]Hg, Ag[sbnd]Ga, Ag[sbnd]In, Ag[sbnd]Sn, Ag[sbnd]Aa and Ag[sbnd]Sb have been studied by the x-ray powder mothod. The results show consistent trends in the changes of lattice spacings when plotted as functions of electron: atom ratio. These trends may be interpreted in terms of distortions of the Brillouin zone following interactions between the Fermi surface with various zone faces. The results indicate that in Ag-based alloys the overlap of Fermi electrons across the (10.0) faces of the Brillouin zone occurs in the region of e/a between 1.39 and 1.40. The influence of particular solute elements on the changes in lattice spacings may be interpreted qualitatively by considering that the band gaps in the Brillouin zone of silver are decreased by the addition of the solute element.