The thermodynamic potentials of binary TiB2–SiC, B4C–SiC, and B4C–TiB2 systems are constructed with the pseudopotential method. The energy of thermal oscillations is calculated using Einstein's model and the energy of interaction between atomic planes. The mixing energy of the systems is calculated to confirm that the eutectic is formed. The minimum thermodynamic potential is used to determine the eutectic temperatures and concentrations of the components.
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S. S. Ordan’yan, E. K. Stepanenko, A. I. Dmitriev, and M. V. Shemeleva, “Interaction in the B4C–TiB2 system,” Sverkhtverd. Mater., No. 5, 27–29 (1986).
S. S. Ordan’yan, A. I. Dmitriev, E. K. Stepanenko, et al., “SiC–TiB2 system⎯a base of high-hardness wear-resistant materials,” Powder Metall. Met. Ceram., 26, No. 5, 375–377 (1987).
S. S. Ordan’yan, A. I. Dmitriev, K. T. Bizhev, and E. K. Stepanenko, “Interaction in B4C–MeVB2 systems,” Powder Metall. Met. Ceram., 26, No. 10, 834–836 (1987).
P. T. Shaffer, “The SiC phase in the system SiC–B4C–C,” Mater. Res. Bull., 4, No. 3, 213–220 (1969).
J. D. Hong, K. E. Spear, and V. S. Stubican, “Directional solidification of SiC–B4C eutectic: Growth and some properties,” Mater. Res. Bull., 14, No. 6, 775–783 (1979).
I. Gunjshima, T. Akashi, and T. Goto, “Characterization of directionally solidified B4C–SiC composites prepared by a floating zone method,” Mat. Trans., 43, No. 9, 3309–2315 (2002).
Y. A. Chang, S. Chen, F. Zhang, et al., “Phase diagram calculation: Past, present and future,” Progress Mat. Sci., 49, 313–345 (2004).
A. N. Pilyankevich and D. A. Zakaryan, “Model nonlocal pseudo-potential. 1. Simple metals,” Ukr. Fiz. Zh., 30, No. 12, 1861–1865 (1985).
A. N. Pilyankevich and D. A. Zakaryan, “Model nonlocal pseudo-potential. 2. Diamond and BN,” Ukr. Fiz. Zh., 31, No. 1, 93–96 (1986).
A. N. Pilyankevich and D. A. Zakaryan, “Model nonlocal pseudo-potential. 3. Transition metals,” Ukr. Fiz. Zh., 31, No. 4, 609–615 (1986).
V. Heine, M. L. Cohen, and D. Weaire, “The pseudopotential concept,” in: H. Ehrenreich, F. Seitz, and D. Turnbull (eds.), Solid State Physics, 24, Academic Press, New York (1970), pp. 1–36.
I. S. Umanskii, B. N. Finkel’shtein, M. E. Blanter, et al., Physical Metallurgy [in Russian], Metallurgizdat, Moscow (1955).
A. I. Somov and M. A. Tikhonovskii, Eutectic Compositions [in Russian], Metallurgiya, Moscow (1975).
G. E. R. Schulze, Metallphysik, Akademie-Verlag, Berlin (1967).
J. M. Ziman, Principles of the Theory of Solids, Cambridge Univ. Press, London (1969).
C. Kittel, Introduction to Solid State Physics, Wiley, New York (1996).
D. A. Zakaryan and V. V. Kartuzov, “Analysis of the theoretical strength of diamond-like materials from the energy of interaction of atomic planes,” Dop. NAN Ukrainy, No. 7, 94–99 (2006).
K. Schubert, Kristallstructuren zweikomponentiger phasen, Gettingtn, Berlin (1964).
T. Ya. Velikanova, A. A. Bondar, K. E. Kornienko, and M. A. Turchanin, Phase Diagram of the Ti–Si–B–C System [in Russian], Report, Inst. Probl. Materialoved. NAN Ukrainy, Kiev (2007).
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Translated from Poroshkovaya Metallurgiya, Vol. 48, No. 9–10 (469), pp. 124–132, 2009.
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Zakaryan, D.A., Kartuzov, V.V. & Khachatryan, A.V. Pseudopotential method for calculating the eutectic temperature and concentration of the components of the B4C–TiB2, TiB2–SiC, and B4C–SiC systems. Powder Metall Met Ceram 48, 588–594 (2009). https://doi.org/10.1007/s11106-010-9172-1
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DOI: https://doi.org/10.1007/s11106-010-9172-1