Skip to main content
SpringerLink
Log in

Phonons and elastic constants for scandium, zirconium and magnesium

  • Condensed Matter
  • Published:
Acta Physica Hungarica

Abstract

The generalised exponential potential and the Born-Mayer potential are employed to describe the paired and the unpaired interactions in the hexagonally closed pack (hcp) metals. These forces are found to explain simultaneously the phonon dispersion and the elastic behaviours of the metals like Scandium (Sc), Zirconium (Zr) and Magnesium (Mg). The input data for lattice constants inverse compressibility and cohesive energy give rise to such results on the said behaviour of the metals which compare satisfactorily with the experimental values.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. S. H. Taole and H. R. Glyde, Can. J. Phys.,57, 1870, 1979.

    Google Scholar 

  2. S. O. Lundqvist, Ark. Fys.,9, 435, 1955;12, 263, 1957.

    Google Scholar 

  3. G. Gilat, C. Rizzi and G. G. Cubiotti, Phys. Rev.,185, 971, 1969.

    Article  ADS  Google Scholar 

  4. J. L. Warren, Rev. Mod. Phys.,40, 38, 1968.

    Article  ADS  Google Scholar 

  5. G. H. Wannier, C. Misner and G. Shay, Jr., Phys. Rev.,185, 983, 1965.

    Article  ADS  Google Scholar 

  6. E. G. Brovman, Yu. Kagan and A. Kholas, Sov. Phys. Solid State,11, 733, 1969; JETP,30, 394, 1972.

    Google Scholar 

  7. C. M. Bertoni, O. Bisi, C. Calandra and F. Nizzoli, J. Phys.F-5, 419, 1975;F-4, 19, 1974.

    Article  ADS  Google Scholar 

  8. P. Lloyd and C. A. Sholl, J. Phys.C-1, 1620, 1968.

    ADS  Google Scholar 

  9. P. N. Keating, Phys. Rev.,145, 637, 1966;149, 674, 1968.

    Article  ADS  Google Scholar 

  10. R. Ramji Rao and R. Srinivasan, Phys. Stat. Solidi,29, 865, 1968. R. Ramji Rao and S. Ramanand, Acta Cryst.,A23, 146, 1977; J. Phys. Chem. Solids,38, 831, 1977; J. Low Temp. Phys.,27, 837, 1977; R. Srinivasan and R. Ramji Rao, J. Phys. Chem. Solids,32, 1761, 1969. C. S. Menon and R. Ramji Rao, J. Phys. Chem. Solids,33, 2129, 1972.

    Article  ADS  Google Scholar 

  11. A. K. Sharma and H. P. Sinha, Ind. J. Pure and Appld. Phys.,19, 526, 1981; Ind. J. Theor. Phys.,28, 57, 1980.

    Google Scholar 

  12. A. P. Roy and G. Venkateraman, Phys. Rev.,156, 769, 1967. R. W. Shaw, Jr., Phys. Rev.,174, 769, 1968. M. F. King and P. H. Cutler, Phys. Rev.B-2, 1733, 1964; J. Phys. Chem. Solids,32, 761, 1971. B. A. Oli, J. Phys.F-4, 2007, 1981. M. V. H. Ambikaprasad, H. C. Gupta and B. B. Tripathi, Can. J. Phys.,62, 845, 1984. J. C. Upadhyaya, Phys. Rev.,26, 743, 1982.

    Article  ADS  Google Scholar 

  13. J. C. Upadhyaya and M. P. Verma, Phys. Rev.,B-8, 593, 1974. D. B. Vibhute and M. P. Verma, Phys. Rev.,B12, 4302, 1975. J. C. Upadhyaya and H. P. Sinha, J. Phys. Chem. Solids,36, 975, 1975. S. P. Singh and S. S. Kushwaha, Nuovo Cimento,D-5, 365, 1985.

    Google Scholar 

  14. F. Milstein, J. Appld. Phys.,44, 3825, 1973.

    Article  ADS  Google Scholar 

  15. M. Born and J. E. Mayer, Z. Phys.,75 1, 1932.

    Article  MATH  ADS  Google Scholar 

  16. R. M. Agrawal, Km. Amita and R. P. S. Rathore, Ind. J. Pure and Appld. Phys.,29, 741, 1991.

    Google Scholar 

  17. M. K. Mishra and R. P. S. Rathore, Acta Physica Pol.,A-75, 525, 1989.

    Google Scholar 

  18. R. M. Agrawal, Km. Aradhana and R. P. S. Rathore, Ind. J. Pure and Appld. Phys.,29, 517, 1991.

    Google Scholar 

  19. Km. Aradhana and R. P. S. Rathore, Phys. Stat. Solidi (b),156, 77, 1989.

    Article  ADS  Google Scholar 

  20. Km. Aradhana and R. P. S. Rathore, Czech. J. Phys.,B-40, 689, 1990.

    Article  ADS  Google Scholar 

  21. R. P. S. Rathore, A. Singh and R. M. Agrawal, Phys. Stat. Solidi (b),165, 95, 1991.

    Article  ADS  Google Scholar 

  22. N. Wakabayashi, R. H. Schern and H. G. Smith, Phys. Rev.,B-25, 5122, 1982.

    ADS  Google Scholar 

  23. H. F. Bezdek, R. E. Schumunk and L. Fine Gold, Phys. Stat. Solidi (b),42, 275, 1970.

    Article  ADS  Google Scholar 

  24. W. Kohn and L. J. Sham, Phys. Rev.,B-140, 133, 1970.

    MathSciNet  Google Scholar 

  25. E. R. Naiman, T. Suzuki and A. V. Granto, Phys. Rev.,B-4, 4297, 1971.

    ADS  Google Scholar 

  26. E. S. Fisher and O. Dever, Proc. 7th Rare Earth Res., Conf.1, 237, 1968.

    Google Scholar 

  27. E. S. Fisher, M. H. Manghanana and T. J. Sokolowski, J. Appld. Phys.,41, 2991, 1970.

    Article  ADS  Google Scholar 

  28. H. B. Huntington, Solid State Phys.,7, 132, 1958.

    Google Scholar 

  29. R. Ramji Rao and C. S. Menon, Solid State Comm.,12, 527, 1973.

    Article  ADS  Google Scholar 

  30. C. S. Menon and R. Ramji Rao, J. Phys. Chem. Solids,33, 1325, 1972.

    Article  ADS  Google Scholar 

  31. B. Dutta, S. K. Sarkar and D. Roy, Phys. Stat. Solidi (b),132, 345, 1985.

    Article  ADS  Google Scholar 

  32. E. R. Naiman, Phys. Rev.,B-4, 4291, 1971.

    Article  ADS  Google Scholar 

  33. R. Ramji Rao and A. Ramanand, Phys. Stat. Solidi (b),87, 751, 1978.

    Article  ADS  Google Scholar 

  34. R. Srinivasan and R. Ramji Rao, J. Phys. Chem. Solids,32, 1769, 1971.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, R. B. S. College, Agra-2, India

    A. Singh & R. P. S. Rathore

  2. Department of Physics, D. E. I. (Deemed University), Dayalbagh, Agra-5, India

    R. M. Agrawal

Authors
  1. A. Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. P. S. Rathore
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. R. M. Agrawal
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Singh, A., Rathore, R.P.S. & Agrawal, R.M. Phonons and elastic constants for scandium, zirconium and magnesium. Acta Physica Hungarica 72, 133–140 (1992). https://doi.org/10.1007/BF03054157

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03054157

Keywords

Search

Navigation