Abstract
The starting composition of a substance, as a rule the average relative concentration of the components, is one of the parameters determining the surface state during growth of single crystals from fluxes or the vapor phase onto a substrate. However, the average does not always coincide with the local concentration not only in the bulk but also at the surface. Moreover, the interfacial concentration is known [1 –4] to depend nonlinearly on the starting (bulk) concentration. The local composition, numerically equal to the average concentration, can under certain conditions correspond to an unstable state of the developing surface. Such instability can cause local disruption of the starting stoichiometry both along the surface and at a distance from the surface. It has not yet been investigated at which compositions and temperatures and in which systems such disruptions are possible. The present work attempts to examine this problem.
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References
S. Ono and S. Kondo, Molecular Theory of Surface Tension in Liquids [Russian translation], Izd. Inostr. Lit, Moscow (1963).
J. E. Lane, “A multilayer model of solid-regular solution interface,” Aug. J. Chem., 21, No. 4, 827–851 (1968).
N. A. Smirnova and E. M. Piotrovskaya, “Investigation of surface properties of ternary alloys within the framework of a multilayered lattice model,” in: Surface Properties of Alloys, Naukova Dumka, Kiev (1982), pp. 11–22.
W.-H. Shih and D. Stroud, “Two-component lattice-gas model for surface segregation in liquid alloys,” Phys. Rev. B: Condens. Matter,33, No.12, 8048–8052 (1986).
A. A. Chernov, E. I. Givargizov, Kh. S. Bagdasarov, et al., Modem Crystallography, Vol. 3 [in Russian], Nauka, Moscow (1980).
Yu. K. Tovbin, “Concentrational boundary profile of a regular solution for a number of molecular-interaction models,” Poverkhnost, No. 6, 33–45 (1985).
B. P. Demidovich and I. A. Maron, Principles of Calculational Mathematics [in Russian], Nauka, Moscow (1970).
V. M. Zalkin, Nature of Electrical Alloys and the Contact Melting Effect [in Russian], Metallurgiya, Moscow (1987).
J. L. Murray, “Calculations of stable and metastable equilibrium diagrams of the Ag-Cu and Cd-Zn systems,”Metall Trans.A,15, No. 1, 261–268(1984).
E. V. Kalashnikov, “On the state of a binary liquid system with a eutectic point,”Zh. Fix. Khim.,55,No.6 1416–1424 (1981).
E. L. Demina, V. I. Sakovich, Yu. P. Mukhachev, and P. S. Popel’, “Microstratification region of liquid binary alloys Sn-Pb,”in:Features of Structure Formation of Eutectic Alloys [in Russian], Proceedings of the Third All-Union Conf., Part 1, Dnepropetrovsk (1986), pp. 151–153.
E. V. Kalashnikov, “Regions of different thermodynamic stability in a liquid in relation to crystal growth and regular structures,” in: Relationship of Liquid and Solid Metallic States [in Russian], Abstracts of Papers, Sverdlovsk (1987), p. 90.
V. I. Nizhenko and L. I. Floka, Surface Tension of Liquid Metals and Alloys [in Russian], Metallurgiya, Moscow (1981).
L. D. Landau and E. M. Lifshits, Statistical Physics, Part 1 [in Russian], Nauka, Moscow (1976).
V. Somol and M. Boranec, “Surface tension of molten Pb-Sb and Pb-Bi alloys,” Sb. Vys. Sk Chem.-Technol Praze, Anorg. Chem. Technol B, 30, 199–206 (1984).
S. I. Popel’, V. N. Kozhurkov, and G. V. Zakharova, “Density and surface tension of Pb-Sn alloys and their adhesion to iron,” Zashch. Met, 7, No. 4, 421–426 (1971).
Kh. I. Ibragimov, N. L. Pokrovskii, P. P. Pugachevich, and V. K. Semenchenko, “Study of the surface tension of the systems Sn-Bi and Sn-Pb,” in: Surface Effects in Alloys and Solid Phases Arising in Them [in Russian], Kabard: Balkar. Kn. Izd., Nal’chik (1965), pp. 269–276.
A. Z. Patashinskii and V. L. Pokrovskii, Fluctuation Theory of Phase Transitions, 2nd Edn [in Russian], Nauka, Moscow (1982).
R. Kh. Dadashev, Kh. I. Ibragimov, and S. É. Yushaev, “Investigation of surface properties of alloys of the ternary system In-Sn-Pb,” in: Physics of Surface Effects in Alloys [in Russian], Chech.-Ing. Univ., Groznyi (1977), pp. 129–135.
A. B. Bhatia and D. E. Thornton, “Structural aspects of electrical resistivity of binary alloys,”Phys. Rev. B: Solid State,2 No. 8, 3004–3012 (1970).
S. Tamaki, “Charge distribution in liquid metals and alloys,” Can. J. Phys., 65, No. 3, 286–308 (1987).
C. Norris, “Photoelectron spectroscopy of liquid metals and alloys,” in: Liquid Metals,Third International Conf. on Liquid Metals, Inst. of Phys. Bristol, London (1976), pp. 171–180.
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Ambrok, A.G., Kalashnikov, E.V. (1992). Concentrational Instability of the Interface. In: Givargizov, E.I., Grinberg, S.A., Wester, D.W. (eds) Growth of Crystals. Poct Kphctannob, Rost Kristallov, Growth of Crystals, vol 18. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3268-2_1
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DOI: https://doi.org/10.1007/978-1-4615-3268-2_1
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