ELECTRICAL RESISTIVITY AND DEVIATIONS FROM MATTHIESSEN'S RULE IN DILUTE ALLOYS OF ALUMINUM, CADMIUM, SILVER, AND MAGNESIUM.
ELECTRICAL RESISTIVITY AND DEVIATIONS FROM MATTHIESSEN'S RULE IN DILUTE ALLOYS OF ALUMINUM, CADMIUM, SILVER, AND MAGNESIUM.
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DOI：
10.1103/physrevb.2.2961
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发表时间：
1970-10
影响因子：
3.7
通讯作者：
R. S. Seth;S. B. Woods
中科院分区：
文献类型：
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作者：
R. S. Seth;S. B. Woods
在1.5 ~ 300 K范围内测量了多晶银、铝、镉、镁和这些金属的20多种不同溶质浓度的稀二元合金的电阻率绝对值。根据电阻率数据，对合金的偏差Δ与Matthiessen规则进行了评估。在50 K以上的温度下，已观察到带有正负号的偏差。除了含有镁作为溶质的镉的hcp合金（Cd - mg合金）之外，这些偏差可以用双波段贡献来解释，这只能是正的，以及由主原子晶格振动引起的电子散射和由振动杂质引起的多余电位之间的干扰项，这可以有任何一个符号。在此范围内，Ag−Cd、Ag−Mg、Ag−Al和Al−Mg合金的偏差随温度线性增大，而Al−Ag、Cd−Ag和Mg−Al合金的偏差随温度线性减小。结合已发表的Mg - A - g合金的数据，这些结果与Bhatia和Gupta的预测在定性上非常一致，他们表明干扰项在高温下应该是重要的，并且当主离子和杂质位点上的离子交换时应该改变符号。将镁合金和铝合金的实验结果的斜率d Δ dT与Gupta的半定量计算结果进行比较，进一步加强了这种一致性。对于Cd - mg合金，在250 K附近Δ为负，而d Δ dT依赖于温度，需要进一步的工作来澄清这一结果。在50k以下，所有合金的偏差都是正的，并讨论了各种贡献。在很宽的温度范围内获得的精确电阻率结果扩展了我们对马西森规则偏差的认识，但是散射过程的复杂性使得与理论的详细比较变得困难，特别是在低温下。
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 K. From the resistivity data, deviations Δ 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 K. These deviations, for all except the hcp alloys of cadmium containing magnesium as a solute (Cd− M g 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− C d, Ag− M g, Ag− A l, and Al− M g alloys increase linearly with temperature and those for Al− A g, Cd− A g, and Mg− A l decrease linearly with temperature in this range. Combined with published data for Mg− A g 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 Δ dT of the experimental results for the alloys of magnesium and aluminum with a semiquantitative calculation by Gupta. Near 250 K Δ is negative and d Δ dT is temperature dependent for Cd− M g alloys, and further work is required to clarify this result. Below about 50 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.