Electrical resistivity and deviations from Matthiessen's rule in dilute alloys of aluminum, cadmium, silver, and magnesium

被引:112
作者
Seth, R. S. [1 ]
Woods, S. B. [1 ]
机构
[1] Univ Alberta, Dept Phys, Edmonton, AB 7, Canada
来源
PHYSICAL REVIEW B-SOLID STATE | 1970年 / 2卷 / 08期
关键词
D O I
10.1103/PhysRevB.2.2961
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
Absolute values of the electrical resistivity of polycrystalline silver, aluminum, cadmium, and magnesium and over 20 dilute binary alloys of these metals with different solute concentrations have been measured from 1.5 to 300 degrees K. From the resistivity data, deviations A from Matthiessen's rule have been evaluated for the alloys. Deviations with positive as well as negative sign have been observed at temperatures above 50 degrees K. These deviations, for all except the hcp alloys of cadmium containing magnesium as a solute (Cd-Mg alloys), can be explained in terms of a two-band contribution, which can only be positive, and an interference term between the scattering of electrons by lattice vibrations of the host atoms and the excess potential due to the vibrating impurities, which can have either sign. The deviations for Ag-Cd, Ag-Mg, Ag-Al, and Al-Mg alloys increase linearly with temperature and those for Al-Ag, Cd-Ag, and Mg-Al decrease linearly with temperature in this range. Combined with published data for Mg-Ag alloys, these results are in excellent qualitative agreement with the predictions of Bhatia and Gupta, who showed that the interference term should be important at high temperatures and should change sign when the ions on the host and impurity sites are interchanged. This agreement is further strengthened by comparison of the slope d Delta/dT of the experimental results for the alloys of magnesium and aluminum with a semiquantitative calculation by Gupta. Near 250 degrees K Delta is negative and d Delta/dT is temperature dependent for Cd-Mg alloys, and further work is required to clarify this result. Below about 50 degrees K deviations for all alloys are positive, and the various contributions are discussed. The precise resistivity results obtained over a wide temperature range extend our knowledge of deviations from Matthiessen's rule, but the complexity of the scattering processes makes a detailed comparison with theory difficult, particularly at low temperatures.
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页码:2961 / 2972
页数:12
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