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Abstract
AbstractThe nature of the dependence of the Heine‐Abarenkov model pseudopotential parameters rc and u for different alkali metals, obtained through a comprehensive unified study of the metals, on the atomic number, Z, is investigated, leading to simple empirical relations between Z and the parameters. The product of Z1/2 and the dynamical matrix, D, calculated using the parameters yielded by these relations is found to satisfy a relation of the form DZ1/2 = C1(q, e) for various Z‐values, C1(q, e) being a constant depending on the phonon wave vector q and the polarization e. This at once leads to the relation m1/2Z1/4v = C2(q, e) which is verified empirically and thus implies that the lattice vibrations of alkali metals are homologous. The relations obtained are used for a comprehensive unified study of Cs and for predicting its dispersion relation. The importance of the approach lies in the fact that knowing only Z, a unified study of a large number of lattice static, dynamic, and electronic properties of any alkali metal can be carried out within the framework of the pseudopotential theory.
Published Version
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