搜索

x
中国物理学会期刊

无序晶态合金的电阻率

CSTR: 32037.14.aps.29.1385

ELECTRICAL RESISTIVITY OF DISORDERED CRYSTALLINE ALLOYS

CSTR: 32037.14.aps.29.1385
PDF
导出引用
  • 基于Baym原则,将Ziman型液态金属电阻理论推广到晶态金属及替代式的无序合金系统,给出了电阻率的一般表达式,讨论了它们的低温和高温行为。低温下用德拜晶格振动模型,无序晶态系统的电阻率可表为ρ=ρ0+ρd(T/Θ)2+ρi(T/Θ)5,与实验一致。高温下,考虑到Debye-Waller因子及多声子效应,电阻率趋向饱和。用独立原子振动近似得到的简单公式与实验资料的比较表明:类似Nb这种电阻率的高温非线性偏离可以在本文的模型中自然地得到说明。

     

    The Ziman-type theory of the electrical resistivity of liquid metals is extended to disordered crystalline alloys by means of a prescription given by Baym. The formulae for calculating the resistivity of these systems are presented and the temperature dependence of the resistivity in both low and high temperature range is discussed in some detail. By using the Debye model for lattice vibration, we can express the resisti-vity of a disordered system as ρ=ρ0+ρd(T/Θ)2+ρi(T/Θ)5 at temperatures well below Debye temperature,Θ , this behavior is compatible with experiments. On account of the Debye-Waller factor and multi-phonon effects, the resistivity approaches saturation at high temperature instead of the exhibiting a linear T-dependence predicted by onephonon approximation. A comparison between experimental data and a simple expression derived on the basis of the approximation of independent vibration of atom shows that the deviation from linearity of the high temperature resistivity similar to that of Nb can be understood with the present model.

     

    目录

    /

    返回文章
    返回