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Variations in thermal properties of diamond under isothermal compression

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Abstract

State equation P(V/V 0, T) and baric dependences of thermal properties of diamond have been obtained without any fitting parameters from the interatomic pair Mie–Lennard-Jones potential and the Einstein model of a crystal. Calculations have been performed along two isotherms (at T = 300 and 3000 K) up to P = 10000 kbar = 1000 GPa, i.e., to a relative volume of V/V 0 = 0.5. The baric dependences have been obtained for the following characteristics: isothermal elastic modulus B T and B'(P), isochoric heat capacity C v and C v ' (P), isobaric heat capacity C p ; thermal expansion coefficient α p and α p ' (P); and specific surface energy σ, as well as its derivatives σ'(P) and σ'(T). It is shown that for P → ∞, functions B T (P) and σ(P) vary linearly, functions B'(P), α p (P), C v (P), C p (P) and σ'(P) tend to constants, while functions α p '(P), C v '(P), and difference C p (P)–C v (P) tend to zero. Good agreement with experimental data has been demonstrated.

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References

  1. W. B. Holzapfel, High Pressure Res. 30, 372 (2010).

    Article  ADS  Google Scholar 

  2. P. I. Dorogokupets, T. S. Sokolova, B. S. Danilov, and K. D. Litasov, Geodin. Tektonofiz. 3 (2), 129 (2012).

    Article  Google Scholar 

  3. M. N. Magomedov, Studies of Atomic Interaction, Vacancy Formation, and Self-Diffusion in Crystals (Fizmatlit, Moscow, 2010).

    Google Scholar 

  4. M. N. Magomedov, Tech. Phys. 58, 1297 (2013).

    Article  Google Scholar 

  5. L. A. Girifalco, Statistical Physics of Materials (Wiley, New York, 1973, Mir, Moscow, 1975).

    Google Scholar 

  6. M. N. Magomedov, Phys. Solid State 46, 954 (2004).

    Article  ADS  Google Scholar 

  7. M. N. Magomedov, Russ. J. Inorg. Chem. 49, 1906 (2004).

    Google Scholar 

  8. I. V. Aleksandrov, A. F. Goncharov, A. N. Zisman, and S. M. Stishov, JETP 66, 384 (1987).

    Google Scholar 

  9. M. N. Magomedov, High Temperature 47, 343 (2009).

    Google Scholar 

  10. S. I. Novikova, Thermal Expansion of Solids (Nauka, Moscow, 1974).

    Google Scholar 

  11. G. A. Slack and S. F. Bartram, J. Appl. Phys. 46 (1), 89 (1975).

    Article  ADS  Google Scholar 

  12. R. R. Reeber and K. Wang, J. Electron. Mater. 25 (1), 63 (1996).

    Article  ADS  Google Scholar 

  13. M. N. Magomedov, Tech. Phys. 58, 1789 (2013).

    Article  Google Scholar 

  14. D. K. Bradley, J. H. Eggert, R. F. Smith, S. T. Prisbrey, D. G. Hicks, D. G. Braun, J. Biener, A. V. Hamza, R. E. Rudd, and G. W. Collins, Phys. Rev. Lett. 102, 075503 (2009).

    Article  ADS  Google Scholar 

  15. P. Vinet, J. Ferrante, J. H. Rose, and J. R. Smith, J. Geophys. Res. 92, 9319 (1987).

    Article  ADS  Google Scholar 

  16. F. Occelli, P. Loubeyre, and R. Letoullec, Nat. Mater. 2 (3), 151 (2003).

    Article  ADS  Google Scholar 

  17. S. S. Batsanov, Structural Chemistry. Facts and Dependences (Dialog-MGU, Moscow, 2000).

    Google Scholar 

  18. J. Xie, S. P. Chen, S. de Gironcoli, and S. Baroni, Phys. Rev. B 60, 9444 (1999).

    Article  ADS  Google Scholar 

  19. A. A. Stekolnikov and F. Bechstedt, Phys. Rev. B 72, 125 326 (2005).

    Google Scholar 

  20. M. N. Magomedov, Tech. Phys. 60, 1619 (2015).

    Article  Google Scholar 

  21. M. N. Magomedov, Tech. Phys. 62, 569 (2017) (in press).

    Article  Google Scholar 

Download references

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Correspondence to M. N. Magomedov.

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Original Russian Text © M.N. Magomedov, 2017, published in Zhurnal Tekhnicheskoi Fiziki, 2017, Vol. 87, No. 5, pp. 643–650.

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Magomedov, M.N. Variations in thermal properties of diamond under isothermal compression. Tech. Phys. 62, 661–668 (2017). https://doi.org/10.1134/S1063784217050176

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