Abstract
The fact that the equilibrium liquid and solid phases are generally different during the growth of single crystals of solid solutions from the melt is very important. In other words, solid solutions, with the exception of those with compositions corresponding to acnodes on the fusion surface, incongruently melt and crystallize. As a result, the liquid phase changes during conversion of part of the liquid to the solid. Therefore, the crystal composition during directional crystallization changes along its length. Furthermore, constitutional supercooling and the crystal growth-front instabilities associated with it (for example, formation of cellular structure) can occur. In order to avoid the cellular structure and obtain a homogeneous crystal, the crystallization rate is often slowed so much that directional crystallization becomes practically infeasible. The preparation of crystals of solid solutions with a constant (along the crystal length) composition requires special technical tricks (for example, replenishment of the melt with one of the components) that make it difficult and sometimes impossible to accomplish.
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References
P. P. Fedorov, T. M. Turkina, V. A. Meleshina, and B. P. Sobolev, “Cellular substructures in single crystalline solid solutions of inorganic fluorides having the fluorite structure,” in: Growth of Crystals, Vol. 17, E. I. Givargizov and S. A. Grinberg (eds.), Consultants Bureau, New York (1991), pp. 165–176.
P. P. Fedorov, T. M. Turkina, and B. P. Sobolev, “Morphological stability of M 1_x R x F 2+x solid solution single crystals (M = alkaline earth, R = rare earth),” Bol. Soc. Catalana Cienc. Fis. Quim. Mat., 13, No. 1, 259–271 (1992).
Kh. S. Bagdasarov, Physicochemical Principles of High-Temperature Crystallization and Methods for Growing Single Crystals, Progress in Science and Technology, Vol. 21, All-Union Institute for Scientific and Technical Information (VINITI), Moscow (1987).
B. P. Sobolev, “Non-stoichiometry in inorganic fluorides and phases with fluorite structure,” Bol. Soc. Catalana Cienc. Fis. Quim. Mat., 12, No. 2, 276–332 (1991).
B. P. Sobolev, “Multicomponent fluoride single crystals (Current status of their synthesis and prospects),” in: Growth of Crystals, Vol. 18, E. I. Givargizov and S. A. Grinberg (eds.), Consultants Bureau, New York (1992), pp. 197–211.
F. A. H. Schreinemakers, “Mischkristalle in Systemen drier Stoffe. III,” Z. Phys. Chem., 52, 513–550 (1905).
F. A. H. Schreinemakers, “Dampfdrucke ternarer Gemische,” Z. Phys. Chem., 36, 413–449 (1901).
Yu. I. Gurikov, “Certain problems with the structure of diagrams for two-phase liquid-vapor equilibrium of ternary homogeneous solutions,” Zh. Fiz. Khim., 32, No. 9, 1980–1996 (1958).
L. A. Serafimov, “Rules of azeotropy and classification of multicomponent systems. VII. Diagrams of three-component systems,” Zh. Fiz. Khim., 44, No. 4, 1021–1028 (1970).
V. T. Zharov and L. A. Serafimov, Physicochemical Principles of Distillation and Fractionation, Khimiya, Leningrad (1975).
V. S. Timofeev and L. A. Serafimov, Principles of Basic Organic and Petrochemical Synthesis [in Russian], Khimiya, Moscow (1992), Part 4.
L. A. Serafimov, V. S. Timofeev, Yu. A. Pisarenko, and A. V. Solokhin, Basic Organic Synthesis. Combined Processes [in Russian], Khimiya, Moscow (1993), Part 3.
R. Vogel, Die Heterogenen Gleichgewichte, Akademische Verlagsgesellschaft, Leipzig (1959).
V. G. Kuznetsov and K. K. Palkina, “Phase and alloy-structure diagrams in Bi2Se3-Sb2Te3 and Bi2Te3-Sb2Se3,” Zh. Neorg. Khim., 8, No. 5, 1204–1218 (1963).
A. V. Storonkin, Thermodynamics of Heterogeneous Systems [in Russian], Izd. Leningrad Gos. Univ., Leningrad (1967), Parts 1 and 2.
W. G. Pfann, Zone Melting, Wiley, New York (1966).
D. K. Arrowsmith and C. M. Place, Ordinary Differential Equations. A Qualitative Approach with Applications, Chapman & Hall, London (1982).
N. N. Bautin and E. A. Leontovich, Methods and Approaches for Quality Investigations of Dynamic Systems on a Plane [in Russian], Nauka, Moscow (1976).
V. I. Posypaiko and E. A. Alekseev (eds.), Fusion Diagrams of Salt Systems [in Russian], Metallurgiya, Moscow (1977), Part 3.
A. T. Grigor’ev, L. A. Panteleimonov, E. M. Sokolovskaya, et al., “Alloys in Pd-Co-Ni,” Izv. Sekt. Fiz.-Khim. Anal., 27, 185–197 (1956).
B. P. Sobolev, P. P. Fedorov, N. L. Tkachenko, et al., “Refractory fluorides in (Ca, Sr, Ba)F2-LnF3 (Ln = La-Nd),” in: Investigation of Materials for Optical Coatings, Scientific Works of the All-Union Scientific-Research Institute of Luminphores, No. 15, Stavropol’ (1977), pp. 73–75.
E. V. Zharikov, A. I. Zagumennyi, A. A. Kiryukhin, et al., Composition of Compounds with Complicated Isomorphism Exemplified by Gd-Sc-Al Garnet, Preprint No. 79, Institute of General Physics, Russian Academy of Sciences, Moscow (1988).
A. L. Denisov, E. V. Zharikov, A. I. Zagumennyi, et al., Isomorphic Substitution in Y-Sc-Al Garnet, Preprint No. 58, Institute of General Physics, Russian Academy of Sciences, Moscow (1989).
G. B. Lutts, A. L. Denisov, E. V. Zharikov, et al., “GSAG and YSAG: A study of isomorphism and crystal growth,” Opt. Quantum Electron., 22, 269–281 (1990).
P. P. Fedorov, I. P. Zibrov, E. V. Tarasova, et al., “Transition from peritectic to eutectic in PbF2-RF3,” Zh. Neorg. Khim., 33, No. 12, 3222–3224 (1988).
M. P. O’Horo and W. B. White, “Phase equilibria in CdF2-CaF2, CdF2-PbF2, and CdF2-ZnF2,” J. Am. Ceram. Soc., 54, No. 11, 588–589 (1971).
P. P. Fedorov and L. V. Medvedeva, “Thermographic determination of liquidus temperature,” Zh. Neorg. Khim., 34, No. 10, 2674–2677 (1989).
V. J. Fratello, C. D. Brandle, and A. J. Valentino, “Growth of congruently melting gadolinium scandium gallium garnet,” J. Cryst. Growth, 80, No. 1, 26–32 (1987).
T. Tanaka, S. Otani, and Y. Ishizawa, “Growth of high quality single crystals of YB66,” J. Cryst. Growth, 99, 994–997 (1990).
N. I. Sorokin, I. I. Buchinskaya, and B. P. Sobolev, “Ionic conductivity of Pb0.67Cd0.33F2 and b0.67Cd0.33F2:Ce3+ single crystals,” Zh. Neorg. Khim., 37, No. 12, 2653–2656 (1992).
L. O. Svaasand, M. Ericksrud, G. Nakken, and P. Grande, “Solid solution range of LiNbO3,” J. Cryst. Growth, 22, No. 3, 230–232 (1974).
J. S. Kirkaldy and L. C. Brown, “Diffusion behavior in ternary, multiphase systems,” Can. Metall. Quart., 2, No. 1, 89–115 (1963).
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Fedorov, P.P. (1996). Compositions of Congruently Melting Three-Component Solid Solutions Determined by Finding Acnodes on Ternary-System Fusion Surfaces. In: Givargizov, E.I., Melnikova, A.M. (eds) Growth of Crystals. Poct Kpиctaллob / Rost Kristallov / Growth of Crystals, vol 20. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1141-6_10
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DOI: https://doi.org/10.1007/978-1-4613-1141-6_10
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