Skip to main content
Log in

Electronic, elastic properties and hardness of the novel tetragonal silicon

  • Published:
Journal of the Korean Physical Society Aims and scope Submit manuscript

Abstract

Silicon is an important material for technical applications. Recently, a long-puzzling metastable phase of silicon (T12-Si) has been theoretically identified. In this work, we used first-principles calculations to study the electronic and elastic properties and the hardness of this new silicon allotrope to enrich the relevant information. These properties of cubic Si (c-Si) were also calculated for comparison. The results show that the T12-Si is mechanically anisotropic and has a lower bulk modulus and shear modulus than c-Si. Its theoretical hardness is 10.3 GPa, smaller than the value of 13.5 GPa for c-Si. Analyses of the electronic properties reveal that T12-Si is an indirect band gap crystal with a gap value of 0.69 eV, making it a promising semiconductor for future technical applications and that covalent sp 3-hybridization is the main interaction in this crystal. The reason the calculated hardnesses of c-Si and T12-Si are rather small compared to that of diamond is also discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Refrerences

  1. A. G. Aberle, Prog. Photovolt: Res. Appl. 8, 473 (2000).

    Article  Google Scholar 

  2. F. Buda, J. Kohanoff and M. Parrinello, Phys. Rev. Lett. 69, 1272 (1992).

    Article  ADS  Google Scholar 

  3. G. Stemme, J. Micromech. Microeng. 1, 113 (1991).

    Article  ADS  Google Scholar 

  4. S. I. Kozlovskiy and I. I. Boiko, Sensor. Actuat. A 118, 33 (2005).

    Article  Google Scholar 

  5. I. I. Boiko and S. I. Kozlovskiy, Sensor. Actuat. A 147, 17 (2008).

    Article  Google Scholar 

  6. H. Olijnyk, S. K. Sikka and W.B. Holzapfel, Phys. Lett. A 103, 137 (1984).

    Article  ADS  Google Scholar 

  7. J. Z. Hu and I. L. Spain, Solid State Commun. 51, 263 (1984).

    Article  ADS  Google Scholar 

  8. M. I. McMahon and R. J. Nelmes, Phys. Rev. B 47, 8337 (1993).

    Article  ADS  Google Scholar 

  9. S. J. Duclos, Y. K. Vohra and A. L. Ruoff, Phys. Rev. B 41, 12021 (1990).

    Article  ADS  Google Scholar 

  10. S. J. Duclos, Y. K. Vohra and A. L. Ruoff, Phys. Rev. Lett. 58, 775 (1987).

    Article  ADS  Google Scholar 

  11. J. M. Besson, E. H. Mokhtari, J. Gonzales and G. Weill, Phys. Rev. Lett. 59, 473 (1987).

    Article  ADS  Google Scholar 

  12. Y. X. Zhao, F. Buehler, J. R. Sites and I. L. Spain, Solid State Commun. 59, 679 (1986).

    Article  ADS  Google Scholar 

  13. J. Crain, G. J. Ackland, J. R. Maclean, R. O. Piltz, P. D. Hatton and G. S. Pawley, Phys. Rev. B 50, 13043 (1994).

    Article  ADS  Google Scholar 

  14. R. M.Wentorf and J. S. Kasper, Science 139, 338 (1963).

    Article  ADS  Google Scholar 

  15. J. Z. Hu, L. D. Merkle, C. S. Menoni and I. L. Spain, Phys. Rev. B 34, 4679 (1986).

    Article  ADS  Google Scholar 

  16. Z. Zhao et al., J. Am.Chem. Soc. 134, 12362 (2012).

    Article  Google Scholar 

  17. X. Gonze et al., Comput. Mater. Sci. 25, 478 (2002).

    Article  Google Scholar 

  18. N. Troullier and J. L. Martins, Phys. Rev. B 43, 1993 (1991).

    Article  ADS  Google Scholar 

  19. D. M. Ceperley and B. J. Alder, Phys. Rev. Lett. 45, 567 (1980); J. P. Perdew and A. Zunger, Phys. Rev. B 23 5048 (1981).

    Article  ADS  Google Scholar 

  20. J. P. Perdew, K. Burke and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996).

    Article  ADS  Google Scholar 

  21. H. J. Monkhorst and J. D. Pack, Phys. Rev. B 13, 5188 (1976).

    Article  ADS  MathSciNet  Google Scholar 

  22. X. Gonze and C. Lee, Phys. Rev. B 55, 10355 (1997).

    Article  ADS  Google Scholar 

  23. W. Voigt, Lehrbuchder Kristallphysik (Teubner, Leipzig, 1928).

    Google Scholar 

  24. A. Reuss and Z. Angew, Math. Mech. 9, 49 (1929).

    MATH  Google Scholar 

  25. Z. Wu, E. Zhao, H. Xiang, X. Hao, X. Liu and J. Meng, Phys. Rev. B 76, 054115 (2007).

    Article  ADS  Google Scholar 

  26. R. Hill, Proc. Phys. Soc. London A 65, 349 (1952).

    Article  ADS  Google Scholar 

  27. J. R. Christman, Fundamentals of Solid State Physics (Wiley Press, New York, 1988).

    Google Scholar 

  28. A. Šimůnek and J. Vackář, Phys. Rev. Lett. 96, 085501 (2006).

    Article  Google Scholar 

  29. A. Šimůnek, Phys. Rev. B 75, 172108 (2007).

    Article  Google Scholar 

  30. T. Kumagai, S. Izumi, S. Hara and S. Sakai, Comp. Mater. Sci. 39, 457 (2007).

    Article  Google Scholar 

  31. W. Bludau, A. Onton and W. Heinke, J. Appl. Phys. 45, 1846 (1974).

    Article  ADS  Google Scholar 

  32. C. Z. Fan, S. Y. Zeng, L. X. Li, Z. J. Zhan, R. P. Liu and W. K. Wang, Phys. Rev. B 74, 125118 (2006).

    Article  ADS  Google Scholar 

  33. R. M. Martin, Phys. Rev. B 1, 4005 (1970).

    Article  ADS  Google Scholar 

  34. J. J. Wortman and R. A. Evans, J. Appl. Phys. 36, 153 (1965).

    Article  ADS  Google Scholar 

  35. S. F. Pugh, Philos. Mag. 45, 833 (1954).

    Google Scholar 

  36. J. Haines, J. M. Leger and G. Bocquillon, Ann. Rev. Mater. Res. 31, 1 (2001).

    Article  ADS  Google Scholar 

  37. A. Zunger, Phys. Rev. B 21, 4785 (1980).

    Article  ADS  Google Scholar 

  38. C. Kittel, Introduction to Solid State Physics (John Wiley & Sons, New York, 2005).

    Google Scholar 

  39. F. Gao, J. He, E. Wu, S. Liu, D. Yu, D. Li, S. Zhang and Y. Tian, Phys. Rev. Lett. 91, 015502 (2003).

    Article  ADS  Google Scholar 

  40. R. D. King-Smith, R. J. Needs, V. Heine and M. J. Hodgson, Europhys. Lett. 10, 569 (1989).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hong-Ling Cui.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hao, XP., Cui, HL. Electronic, elastic properties and hardness of the novel tetragonal silicon. Journal of the Korean Physical Society 65, 45–51 (2014). https://doi.org/10.3938/jkps.65.45

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3938/jkps.65.45

Keywords

Navigation