一种新的系统化的固溶体理论：键参数函数和尺寸因素方法

A New Systematic Theory of Solid solubilities of Alloys: Bond Parametric Function and Size Factor Scheme

使用张邦维所提出的键参数函数和尺寸因素理论方法，对５６种金属基体二元合金的固溶度进行系统的研究。发现分隔每个基体金属可溶与不溶元素的定量方程式是一抛物线或椭圆。理论预言的总准确率对抛物线和椭圆规律分别为８７．２％和９０．３％。表明，这种对固溶度的理论研究，无论是系统性还是理论结果与实验数据符合程度都是文献中所未有过的。

Using the two theoretical schemes incorporating the bond parametric function and sizefactor proposed by one of the authors (ZBW), we have studied successfully the solid solubilities of thebinary alloys based on the 2 3 transition metals, 18 simple metals, 1 2 rare earth metals and 3 actinide Manuscript received on Apr4, 1994 Guest Professor of International Centre for Materials Physics, Academia Sinica, Shenyang, 110015 metals, respectively in past ten years. The theoretical results for the 3864 alloys based on 56 metals aresummarized and the theoretical model are systematized in this paper. It has been found that the quantitative equation for separating the soluble elements from the insoluble elements is a parabola oran ellipse (x￣2-m)￣2/c￣2+(y_2-n)￣2/d￣2=1 for every host metal, whatever the metal is located at which period in the period table. The constants a and b in the parabola equation, and m, n, c and d in the ellipse e-quation have heen discussed, which can be related to some appropriate parameters for each host metalrespectively. The results show that the overall reliabilities of the solid solubilities for the 3864 binary alloys based on the 56 metals are 87.2% and 90.3% for the parabola and ellipse regularities respectively,which indicates that this theoretical description of solid solubilitles and its results are rarely seen in theliterature before both in the systematization of study and in the agreement between the theoretical results and experimental data.