It is important to know the maximum solid solubility( C max ) of various transition metals in a metal when one designs multi component alloys. There have been several semi empirical approaches to qualitatively predict...It is important to know the maximum solid solubility( C max ) of various transition metals in a metal when one designs multi component alloys. There have been several semi empirical approaches to qualitatively predict the C max , such as Darken Gurry(D G) theorem, Miedema Chelikowsky(M C) theorem, electron concentration rule and the bond parameter rule. However, they are not particularly valid for the prediction of C max . It was developed on the basis of energetics of alloys as a new method to predict C max of different transition metals in metal Ti, which can be described as a semi empirical equation using the atomic parameters, i e, electronegativity difference, atomic diameter and electron concentration. It shows that the present method can be used to explain and deduce D G theorem, M C theorem and electron concentration rule.展开更多
Based on the principle of energy change of alloy formation, the rules for the maximum solid solubility ( C max ) of various transition metals in the metals Ti, Zr and Hf were studied. It is deduced that the C max of t...Based on the principle of energy change of alloy formation, the rules for the maximum solid solubility ( C max ) of various transition metals in the metals Ti, Zr and Hf were studied. It is deduced that the C max of transition metals in the metals Ti, Zr and Hf can be described as a semi empirical equation using three atomic parameters, i.e., electronegativity difference, atomic diameter and electron concentration. From the equation analysis by using experimental data, it shows that atomic size parameter and electronegativity difference are the main factors that affect the C max of the transition metals in the metals Ti, Zr and Hf while electron concentration parameter has the smallest effect on C max .展开更多
Maximum solid solubility (C_ max) of different transition metals in metal solvent can be described by a semi-empirical equation using function Z_f that contains electronegativity difference, atomic diameter and electr...Maximum solid solubility (C_ max) of different transition metals in metal solvent can be described by a semi-empirical equation using function Z_f that contains electronegativity difference, atomic diameter and electron concentration. The relation between C_ max and these parameters of transition metals in vanadium solvent was studied. It is shown that the relation of C_ max and function Z_f can be expressed as lnC_ max=Z_f= 7.3165- 2.7805(ΔX) 2- 71.278δ 2-0.85556n 2/3. The factor of atomic size parameter has the largest effect on the C_ max of the V binary alloy; followed by the factor of electronegativity difference; the electrons concentration has the smallest effect among the three bond parameters. Function Z_f is used for predicting the unknown C_ max of the transition metals in vanadium solvent. The results are compared with Darken-Gurry theorem, which can be deduced by the obtained function Z_f in this work.展开更多
文摘It is important to know the maximum solid solubility( C max ) of various transition metals in a metal when one designs multi component alloys. There have been several semi empirical approaches to qualitatively predict the C max , such as Darken Gurry(D G) theorem, Miedema Chelikowsky(M C) theorem, electron concentration rule and the bond parameter rule. However, they are not particularly valid for the prediction of C max . It was developed on the basis of energetics of alloys as a new method to predict C max of different transition metals in metal Ti, which can be described as a semi empirical equation using the atomic parameters, i e, electronegativity difference, atomic diameter and electron concentration. It shows that the present method can be used to explain and deduce D G theorem, M C theorem and electron concentration rule.
文摘Based on the principle of energy change of alloy formation, the rules for the maximum solid solubility ( C max ) of various transition metals in the metals Ti, Zr and Hf were studied. It is deduced that the C max of transition metals in the metals Ti, Zr and Hf can be described as a semi empirical equation using three atomic parameters, i.e., electronegativity difference, atomic diameter and electron concentration. From the equation analysis by using experimental data, it shows that atomic size parameter and electronegativity difference are the main factors that affect the C max of the transition metals in the metals Ti, Zr and Hf while electron concentration parameter has the smallest effect on C max .
文摘Maximum solid solubility (C_ max) of different transition metals in metal solvent can be described by a semi-empirical equation using function Z_f that contains electronegativity difference, atomic diameter and electron concentration. The relation between C_ max and these parameters of transition metals in vanadium solvent was studied. It is shown that the relation of C_ max and function Z_f can be expressed as lnC_ max=Z_f= 7.3165- 2.7805(ΔX) 2- 71.278δ 2-0.85556n 2/3. The factor of atomic size parameter has the largest effect on the C_ max of the V binary alloy; followed by the factor of electronegativity difference; the electrons concentration has the smallest effect among the three bond parameters. Function Z_f is used for predicting the unknown C_ max of the transition metals in vanadium solvent. The results are compared with Darken-Gurry theorem, which can be deduced by the obtained function Z_f in this work.
