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Pseudopotential method for calculating the eutectic temperature and concentration of the components of the B4C–TiB2, TiB2–SiC, and B4C–SiC systems

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Powder Metallurgy and Metal Ceramics Aims and scope

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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References

  1. 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).

    Google Scholar 

  2. 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).

    Google Scholar 

  3. 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).

    Article  Google Scholar 

  4. P. T. Shaffer, “The SiC phase in the system SiC–B4C–C,” Mater. Res. Bull., 4, No. 3, 213–220 (1969).

    Article  CAS  Google Scholar 

  5. 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).

    Article  CAS  Google Scholar 

  6. 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).

    Google Scholar 

  7. Y. A. Chang, S. Chen, F. Zhang, et al., “Phase diagram calculation: Past, present and future,” Progress Mat. Sci., 49, 313–345 (2004).

    Article  CAS  Google Scholar 

  8. A. N. Pilyankevich and D. A. Zakaryan, “Model nonlocal pseudo-potential. 1. Simple metals,” Ukr. Fiz. Zh., 30, No. 12, 1861–1865 (1985).

    CAS  Google Scholar 

  9. A. N. Pilyankevich and D. A. Zakaryan, “Model nonlocal pseudo-potential. 2. Diamond and BN,” Ukr. Fiz. Zh., 31, No. 1, 93–96 (1986).

    CAS  ADS  Google Scholar 

  10. A. N. Pilyankevich and D. A. Zakaryan, “Model nonlocal pseudo-potential. 3. Transition metals,” Ukr. Fiz. Zh., 31, No. 4, 609–615 (1986).

    CAS  Google Scholar 

  11. 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.

    Google Scholar 

  12. I. S. Umanskii, B. N. Finkel’shtein, M. E. Blanter, et al., Physical Metallurgy [in Russian], Metallurgizdat, Moscow (1955).

    Google Scholar 

  13. A. I. Somov and M. A. Tikhonovskii, Eutectic Compositions [in Russian], Metallurgiya, Moscow (1975).

    Google Scholar 

  14. G. E. R. Schulze, Metallphysik, Akademie-Verlag, Berlin (1967).

    Google Scholar 

  15. J. M. Ziman, Principles of the Theory of Solids, Cambridge Univ. Press, London (1969).

    Google Scholar 

  16. C. Kittel, Introduction to Solid State Physics, Wiley, New York (1996).

    Google Scholar 

  17. 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).

    Google Scholar 

  18. K. Schubert, Kristallstructuren zweikomponentiger phasen, Gettingtn, Berlin (1964).

    Google Scholar 

  19. 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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Correspondence to V. V. Kartuzov.

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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

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