The existing theories of the resistivity of mixtures assume regular arrangements of the two components, rather than random mixtures. A theory for a random mixture is given, based on the assumption that each crystal acts as if surrounded by a homogeneous medium whose properties are those of the mixture. Comparisons with experiment are made. The experimental data that have been examined fall roughly into two classes. One class consists of mixtures, where the variation of resistivity with composition disagrees violently with this theory, making it clear that the assumptions made are completely inapplicable. The remaining class consists of mixtures which generally agree well with the theory.
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Lichtenecker (see reference 3) claims that he has corrected the measurements to 20°, but this is not in agreement with the values shown in his Fig. 2 of reference 3. In reference 1 diagram IV, Lichtenecker also omits two of Matthiessen’s experimental points. One is in the Pb‐Sn series, the other is in the Zn‐Sn series.
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All the information on phase diagrams relevant to this paper can be found in M. Hansen, Aufbau der Zweistofflegieruugen (Julius Springer, Berlin, 1936).
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C. J. Smithells, Metals Reference Book (Butterworths, London, 1949), p. 180.
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© 1952 The American Institute of Physics.
1952
The American Institute of Physics
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