A Thermophysical Perspective of the Inter-relationship between Debye Temperature and Electron Density

Subramanian Raju1
1Physical Metallurgy Division, Materials Characterization Group, Metallurgy & Materials Group, Indira Gandhi Centre for Atomic Research, Kalpakkam, India

Tóm tắt

A comprehensive thermophysical analysis of the linkage between the Debye temperature θD and electron density ne has been presented. Assuming that the Debye cut-off frequency ωD is related to the effective oscillation frequency ω of screened ion cores of a metallic material, a simple analytical relationship could be established between θD, bonding electron density ne, and materials density ρm. Alternately, it is possible to establish a consistent set of electron density n e values using θD, which in the case of pure metals is shown to exhibit a linear scaling with Miedema’s thermochemical electron density n e M values. The temperature, pressure, and composition dependencies of θD are addressed uniformly in terms of isobaric and isothermal volume variations of ne; besides, invoking the subregular solution formalism for expressing composition-induced molar volume variation simple approximations for melting temperature Tm and vibrational entropy $$ S_{T}^{\text{o}} $$ have been suggested in terms of electron density. Estimates of θD, $$ S_{298}^{\text{o}} $$ , and average sound velocity have been obtained for metastable bcc U1−xZrx solid solution.

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