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The law of corresponding states for metals

1981; Elsevier BV; Volume: 42; Issue: 3 Linguagem: Inglês

10.1016/0022-3697(81)90077-9

1879-2553

Dávid Beke, G. Erdélyi, F. J. Kedves,

Chemical Thermodynamics and Molecular Structure

Using the similarity of the effective potentials seen by ions in metals a reduced phonon equation of state is derived. It is shown that the melting point Tm(0) and the atomic volume Ω0 at T = 0 K and at p = 0 are suitable macroscopic parameters for scaling ϵ and σ characterizing the interatomic potentials of metals having similar structures. The temperature and pressure dependence of thermodynamical quantities reduced with the above parameters are discussed and the results are compared with the experiment. It is shown that the pressure dependence of the reduced thermodynamic quantities can be described by the pressure dependence of the scaling parameters Tm(p) and Ω0(p). The general form of the reduced equation of state (containing the electronic contributions as well) obtained gives that the reduced pressure is a universal function of the following reduced variables: the volume, temperature, de Broglie wavelength, Gibbs free energy of electrons 35 zEfoϵ (Efo is the Fermi energy at T = 0 K) and depe of the valence z as well. It is shown that Efoϵ is a function of Ωo−12 and (Efo/ϵ)Ω12 is approximately constant within the same sub-group of the periodic table.