Transactions of the Japan Institute of Metals
Online ISSN : 2432-4701
Print ISSN : 0021-4434
ISSN-L : 0021-4434
The Electric Resistivity of the Metals in the Molten State
Sakae TakeuchiHirohisa Endo
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1962 Volume 3 Issue 1 Pages 30-34

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Abstract

The temperature dependence of the resistivity for various kinds of molten metals, Ag, Cd, Zn, In, Sn, Pb, Bi and Sb was measured over wide ranges of temperatures by means of Roll and Motz’s electrodeless method and discussed theoretically. The temperature coefficient of the resistivity of alkalli metals, which was measured by Mac Donald and others, is known to be somewhat larger in the liquid than those in the solid. It is, however, generally smaller in the liquid than in the solid for other metals. A theoretical investigation for the temperature dependence of the resistivity was carried out under the assumption that the valence electrons of atoms in metals behave as the free electrons in a random potential field of ions. It was found that the resistivity of molten metals was given by the sum of the residual resistivity ρ0 caused by the completely random arrangement of ions and the additive resistivity ρT which arises from the density fluctuation due to the thermal motion of the ions. The temperature dependence of the resistivity of molten metals is attributed by the term ρT due to the density fluctuation, while the density fluctuation is directly proportional to the compressibility κ, so that the magnitude of κ is a main factor for the temperature coefficient of the resistivity. These theoretical results are in good agreement with the observed values and the larger temperature coefficient for alkali metals is due to their compressibilities than those of other metals.

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