Abstract
Both parabola and ellipse separating schemes are used to study the solid solubilities for the binary alloy systems based on the 13 rare earth metals. It has been found that the soluble elements can be separated from the insoluble ones by a parabolyy 1=a−bx 21 or an ellipse(x 2−m)2/c2+(y2−n)2/d2=1. The results show that the overall reliabilities of the solid solubilities for the 897 binary alloys based on the rare earth metals are 89.2% and 92.8% for the parabola and ellipse regularities respectively. The constants a and b in the parabola equation, andm, n, c andd in the ellipse equation are discussed, which can be related to some appropriate parameters for each host metal respectively.
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References
Gschneidner Jr, K.A., Beaudry, B.J., Capellen, J.: in: Metals handbook, 10th ed., Vol. 2. Ohio: ASM International, Metals Park 1990
Joseph, R.R., Gschneidner Jr, K.A.: Trans. Met. Soc. AIME223, 2063 (1965)
Rider, P.E., Gschneidner Jr, K.A., McMasters, O.D.: Trans. Met. Soc. AIME223, 1488 (1965)
Gschneidner Jr, K.A., McMasters, O.D., Alexander, D.G., Venteicher, R.F.: Met. Trans.1, 1961 (1970)
Gschneidner Jr., K.A.: In: The theory of alloy phase formation, Bennett, L.H. (ed.). Warrendle, Pa: The Metallurgical Society of AIME 1980
Gschneidner Jr., K.A.: in: Science and technology of rare earth materials, Subbarao, E.C., Walkce, W.E. (eds.). New York: Academic Press 1980
Cheliskowsky, J.R.: Phys. Rev.B19, 686 (1979)
Miedema, A.R., de Boer, F.R., de Chatel, P.F.: J. Phys. F: Metal Phys.3, 1558 (1973)
Miedema, A.R., de Chatel, P.F., de Boer, F.R.: Physica100B, 1 (1980)
de Boer, F.R., Boom, R., Mattens, W.C.M., Miedema, A.R., Niessen, A.K.: Cohesion in metals. Amsterdam: North Holland 1988
Alonso, J.A., Simozar, S.: Phys. Rev.B22, 5583 (1973)
Alonso, J.A., Lopez, J.M., Simozar, S., Gillifalco, L.A.: Acta Met.30, 105 (1982)
Zhang, B.: In: Symposium on the Academic Conference for the Physical Society of Human Province, p. 39. Changsha: the Physical Society of Human 1982
Zhang, B.: Z. Metallkd.76, 264 (1985)
Zhang, B.: Scripta Metall.21, 1207 (1987)
Zhang, B.: Acta Met. Sinica17, 285 (1981)
Chen, N.: Bond-parametric function and its application, pp. 15–16. Beijing: Scientific Publishing House, 1976
Pauling, L.: The nature of the chemical bond, 3rd edn., p. 93. Ithaca: Cornell University 1960
Smithells, C.J.: Metals reference book, p. 100. London: Butherworths 1976
Waber, J.T., Gschneidner Jr., K.A., Larson, A.S., Prince, N.Y.: Trans. Met. Soc. AIME227, 717 (1963)
Hansen, M., Anderko, K.: Constitution of binary alloys. New York: McGraw-Hill 1958
Elliot, R.P.: Constitution of binary alloys [First Suppl.]. New York: McGraw-Hill 1965
Shunk, F.A.: Constitution of binary alloys [Second Suppl.]. New York: McGraw-Hill 1969
ASM: Metals handbook, 8th edn., Vol. 8: Metallography, structures and phase diagrams. Ohio: Metals Park 1973
Hampel, C.A.: Rare metals handbook, 2nd edn., London 1962
Hume-Rothery, W., Christian, L.W., Peason, W.B.: Metallurgical equilibrium diagrams 1952
He Chunxiao, Ma Guangchen, Wang Wenna, Wang Yongli, Zhao Huaizhi: Phase diagrams of precious metal alloys. Beijing: The Metallurgical Industry Press 1983
Bennett, L.H. (ed.): Bulletin of alloy phase diagrams. ASM International, Metals Park, Ohio. Vol. 1–11 (1980–1990): J. Phase Equil.12–14 (1991–1993)
Vol, A.E., Kagan, I.K.: Handbook of binary metallic systems, Vol. 3. Academy of Sciences of the USSR. New Delhi: Oxonian Press 1986
Ageev, N.V. (ed.): Phase diagrams of metallic systems, Vol. 1–32. Moscow: Viniti Press 1959-1990
Kittel, C.: Introduction to solid state physics, 5th edn., p. 74. New York: Wiley 1976
Gschneidner, K.A.: in: Solid state physics. Seitz, F., Turnbull, D. (eds.), pp. 288–289. New York: Academic Press 1965