Fizika Tverdogo Tela, 2024 Volume 66, Issue 9,Pages 1461–1467(Mi ftt10416)
Metals
Phenomenological functions for description of temperature dependences of thermal conductivities and specific resistances of solid metals from the main subgroups Ia–Va of the Periodic system
Abstract:
Expressions for functions approximating experimental data on temperature depend-ences of thermal conductivities and specific resistances of 17 metals from the main subgroups Ia–Va of the Periodic system of D.I. Mendeleev are proposed. They allow not only to calculate the specified properties of metals, but also to predict, in particu-lar, the peak of thermal conductivity of calcium in the vicinity of absolute zero. The mathematical model does not describe the nonlinear behavior of the specific electrical resistance of barium, so a separate function is proposed to describe it. It is shown that the Wiedemann–Franz–Lorentz law is not fulfilled even approximately at temperatures below the Debye temperature for each metal. On between the Debye temperature and the melting point of the metal, it is satisfied when the dimensionless Lorentz number is approximately equal to one.
Keywords:thermal conductivity, specific electrical resistance, approximation, metal, main sub-group.
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