The available data on the temperature dependence of the paramagnetic susceptibility of the transition elements are reviewed. A theoretical treatment according to the band theory of solids is developed explicitly by means of a simple approximation to the Fermi function. Each term in the resulting theoretical formula may be directly and graphically interpreted in terms of the geometry of the density-of-states curve, allowing a simple and intuitive analysis of the susceptibility variation at any temperature. The empirical data on the temperature coefficient of susceptibility, on the absolute magnitude of the susceptibility, and on the specific heats of the transition elements are analyzed to suggest probable alterations in the available theoretical density-of-states curves.
The statistical thermodynamics underlying the distribution of cations over the tetrahedral and octahedral sites in ferrospinels is developed. The temperature dependence of the distribution law is analyzed by invoking the Debye approximation for the vibrational spectrum. The resultant equations permit the internal energy terms of interest to be deduced from measurements of magnetic moment and speciic heats of various quenched samples.
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