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Ab-initio calculation of the coefficients of thermal expansion for MeB2 (Me–Ti, Zr) and LaB6 borides and LaB6–MeB2 eutectic composites

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Powder Metallurgy and Metal Ceramics Aims and scope

The coefficients of thermal expansion of transition-metal borides, lanthanum hexaboride, and eutectic composites thereof are calculated using the a-priori pseudopotential method. To determine the energy of the electron–ion system as a function of the lattice parameters at nonzero temperatures, it is proposed that the energy scales of the system be compared at absolute zero and nonzero temperatures. The coefficient of thermal expansion of the composites shows an abrupt increase in the temperature range from 750 to 1000 K.

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References

  1. T. A. Serebryakova, V. A. Neronov, and P. D. Pishev, High-Temperature Borides [in Russian], Metallurgiya, Moscow (1991), p. 368.

    Google Scholar 

  2. D. A. Zakaryan, A Priori Model Pseudopotential in the Theory of Cubic Crystals [in Russian], Author’s Abstract of PhD Thesis, Kiev (1987), p. 19.

  3. C. Kittel, Introduction to Solid State Physics, Wiley, New York (1976).

    Google Scholar 

  4. Zhai Zhang-Yin, Peng Ju, and Zuo Fen, “Pressure and temperature effects on NaCl-type transition metal carbide from first-principles calculation,” Physica B, Doi:10.1016/j.physb.2010.08.047.

  5. D. Zakarian, V. Kartuzov, E. Kartuzov, et al., “Calculation of composition in LaB6–TiB2 and LaB6– ZrB2 eutectics by means of pseudopotential method,” J. Eur. Ceram. Soc., Doi: 10.1016/j.jeurceramsoc.2011.01.023

  6. D. A. Zakaryan, V. V. Kartuzov, and A. V. Khachatryan, “Calculating specific parameters of LaB6–MeB2 alloys based on the pseudopotential method,” in: Mathematical Models and Computer Simulation in Materials Science. Series: Modeling in Materials Science [in Russian], Issue 10, Inst. Probl. Materialoved. NAN Ukrainy, Kiev (2008), pp. 21–27.

  7. D. A. Zakaryan, V. V. Kartuzov, and A. V. Khachatryan, “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, No. 9–10, 588–594 (2009).

    Article  CAS  Google Scholar 

  8. L. V. Belan-Gaiko, V. I. Bogdanov, and D. L. Fuks, “Calculation of elastic and thermal properties of alkali metals with the pseudopotential method,” Izv. Vuzov, No. 2, 25–38 (1979).

    Google Scholar 

  9. David Rondy and Marvin L. Cohen, “Ideal strength of diamond, SiC and Ge,” Phys. Rev. B, 64, No. 21, 212103/1–212103/3 (2001).

    Google Scholar 

  10. D. A. Zakaryan, V. V. Kartuzov, and A. V. Khachatryan, “Calculating the theoretical strength in LaB6– MeB2 (Me–Ti, Zr, Hf) eutectic composites,” in: Mathematical Models and Computer Simulation in Materials Science. Series: Modeling in Materials Science [in Russian], Issue 13, Inst. Probl. Materialoved. NAN Ukrainy, Kiev (2013), pp. 3–8.

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

    Google Scholar 

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Correspondence to V. V. Kartuzov.

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Translated from Poroshkovaya Metallurgiya, Vol. 51, No. 5–6 (485), pp. 65–72, 2012.

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Zakaryan, D.A., Kartuzov, V.V. & Khachatryan, A.V. Ab-initio calculation of the coefficients of thermal expansion for MeB2 (Me–Ti, Zr) and LaB6 borides and LaB6–MeB2 eutectic composites. Powder Metall Met Ceram 51, 301–306 (2012). https://doi.org/10.1007/s11106-012-9432-3

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  • DOI: https://doi.org/10.1007/s11106-012-9432-3

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