Skip to main content
Log in

Lattice vibrational properties of transition metal carbides (TiC, ZrC and HfC)

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

Lattice vibrational properties of transition metal carbides (TiC, ZrC and HfC) have been presented by including the effects of free-carrier doping and three-body interactions in the rigid shell model. The short-range overlap repulsion is operative up to the second neighbour ions. An excellent agreement has been obtained between theory and experiment for their phonon dispersion curves and Debye temperature variations. It is concluded that the contributions of free-carrier doping and three-body interactions are essential for the description of the lattice dynamics of these carbides.

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

References

  1. L E Toth,Transition metal carbides and nitrides (Academic Press, New York, 1971)

    Google Scholar 

  2. H Bilz and W Kress,Springer series in solid state sciences 10, 1 (1979)

    Google Scholar 

  3. R K Singh and H N Gupta,Solid State Commun. 16, 197 (1975)

    Article  ADS  Google Scholar 

  4. R K Singh,Phys. Reports (Netherlands)85, 259 (1982)

    ADS  Google Scholar 

  5. L Pinschovius, W Reichardt and B Scheeres,J. Phys. C11, 1557 (1978)

    ADS  Google Scholar 

  6. H G Smith, inProceedings of the International Conference on Phonons (Rennes, France, 1971) edited by M Nusimovice (Flammarion Paris, 1971)

  7. H G Smith, N Wakabayashi, R M Nicklow and S Mihalovich, inProc. 13th Int. Conf. on Low Temperature Physics, USA (1972)

  8. H G Smith and W Glasser,Phys. Rev. Lett. 25, 1611 (1970);29, 353 (1972)

    Article  ADS  Google Scholar 

  9. W Weber,Phys. Rev. B8, 5082 (1973)

    ADS  Google Scholar 

  10. W Weber,Phys. Rev. B8, 5093 (1973)

    ADS  Google Scholar 

  11. W Weber, H Bilz and U Schroder,Phys. Rev. Lett. 28, 600 (1972)

    Article  ADS  Google Scholar 

  12. M P Verma and BRK Gupta,Phys. Rev. B12, 1314 (1975)

    ADS  Google Scholar 

  13. P T Jochym and K Parlinski,Euro. Phys. J. (France)B15, 265 (2000)

    ADS  Google Scholar 

  14. W A Mackie, P Carieson, J Fillon and C H Himrich,J. Appl. Phys. (USA)169, 7236 (1991)

    ADS  Google Scholar 

  15. A Fernandez Guillermet,J. Alloys Comp. 217, 69 (1995)

    Article  Google Scholar 

  16. S Eroglu and B Gallois,J. Mat. Sci. 30, 1754 (1995)

    Article  ADS  Google Scholar 

  17. K Albersten and H J Schaller,Z. Metallk. d. 86, 319 (1995)

    Google Scholar 

  18. Ajay Kumar Singh, Ph.D. Thesis (VBS University, Jaunpur, 2001)

    Google Scholar 

  19. E W Kellermann,Philos. Trans. R. Soc. London A230, 513 (1940)

    Article  ADS  Google Scholar 

  20. M P Verma and R K Singh,Phys. Status Solidi 33, 769 (1969);36, 335 (1969);38, 851 (1970)

    Article  Google Scholar 

  21. P O Lowdin,Ark. Mat. Astr. Fys. A35, 30 (1947)

    Google Scholar 

  22. A D B Woods, W Cochran and B N Brockhouse,Phys. Rev. 119, 980 (1960)

    Article  ADS  Google Scholar 

  23. R A Cowley and G Dolling,Phys. Rev. Lett. 14, 548 (1965)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Upadhyaya, K.S., Singh, A.K., Pandey, A. et al. Lattice vibrational properties of transition metal carbides (TiC, ZrC and HfC). Pramana - J Phys 64, 299–304 (2005). https://doi.org/10.1007/BF02704883

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02704883

Keywords

PACS Nos

Navigation