Skip to main content
Log in

Linear potential and phonons in alkali-metals

  • Published:
Czechoslovak Journal of Physics B Aims and scope

Abstract

Phonon dispersion, binding energy, compressibility and elastic constants of alkali-metals have been studied using a modified form of the Ashcroft potential and self-consistent form of electron screening due to Singwi et al. The proposed potential successfully reproduces the phonon spectra and other properties of all the five metals except for the crossover between Δ1 and Δ5 branches for lithium —which may be attributed to the very small amplitude of the form factors atq=2k F. An improvement corresponding to this effect could reproduce Kohnanomaly and the crossover simultaneously.

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. Phillips J. C., Kleinman L., Phys. Rev.116 (1959), 287.

    Google Scholar 

  2. Sham L. J., Proc. Roy. Soc. (London)A 283 (1965), 33.

    Google Scholar 

  3. Vosko S. H., Taylor R., Keech G., Can. J. Phys.43 (1965), 1187.

    Google Scholar 

  4. Animalu A. O. E., Bonsignori F., Bortolani V., Il Nuovo Cimento44B (1966), 159.

    Google Scholar 

  5. Harrison W. A., Pseudopotentials in the Theory of Metals, W. A. Benjamin, Inc., New York 1966.

    Google Scholar 

  6. Schneider T., Stoll E., Phys. Kondensierten Materie5 (1966), 331.

    Google Scholar 

  7. Ho P. S., Phys. Rev.169 (1968), 523.

    Google Scholar 

  8. Ashcroft N. W., J. Phys.C 1 (1968), 232.

    Google Scholar 

  9. Wallace D. C., Phys. Rev.176 (1968), 832;178 (1969), 900.

    Google Scholar 

  10. Bortolani V., Pizzichini G., Phys. Rev. Lett.22 (1969), 840.

    Google Scholar 

  11. Prakash S., Joshi S. K., Phys. Rev.185 (1969), 913;187 (1969), 808.

    Google Scholar 

  12. Price D. L., Singwi K. S., Tosi M. P., Phys. Rev.B 2 (1970), 2983.

    Google Scholar 

  13. Gupta R. P., Solid State Commun.8 (1970), 991.

    Google Scholar 

  14. Kushwaha S. S., Rajput J. S., Phys. Rev.B 2 (1970), 3943.

    Google Scholar 

  15. Gupta H. C., Tripathi B. B., J. Chem. Phys.54 (1971), 435.

    Google Scholar 

  16. Gupta H. C., Tripathi B. B., Indian J. Pure Appl. Phys.9 (1971), 781.

    Google Scholar 

  17. Kachhava C. M., Phys. Status Solidi (b)54 (1972), K 29.

    Google Scholar 

  18. Kachhava C. M., J. Phys.F 3 (1973), 571.

    Google Scholar 

  19. Ono M., J. Phys. Soc. Japan34 (1973), 26.

    Google Scholar 

  20. Nand S., Tripathi B. B., Gupta H. C., Phys. Lett.54A (1975), 217.

    Google Scholar 

  21. Hafner J., J. Phys.F 5 (1975), L 150.

    Google Scholar 

  22. Hafner J., Z. PhysikB 24 (1976), 41.

    Google Scholar 

  23. Cutler P. H., Day R., King W. F., J. Phys. F: Metal Phys.5 (1975), 1801.

    Google Scholar 

  24. Day R. S., Sun F., Cutler P. H., King W. F., J. Phys.F 6 (1976), L 1;F 6 (1976), L 137.

    Google Scholar 

  25. Dagens L., Rasolt M., Taylor R., Phys. Rev.B 11 (1975), 2726.

    Google Scholar 

  26. Lindgren I., Int. J. Quantum Chem.S 5 (1971), 411.

    Google Scholar 

  27. Kachhava C. M., Phys. Status Solidi (b)52 (1972), 547.

    Google Scholar 

  28. Ashcroft N. W., Phys. Lett.23 (1966), 48.

    Google Scholar 

  29. Singwi K. S., Tosi M. P., Land R. H., Sjölander A., Phys. Rev.176 (1968), 589.

    Google Scholar 

  30. Kellerman E. W., Phil. Trans. Roy. Soc. (London)A 238 (1940), 513.

    Google Scholar 

  31. Kachhava C. M.,Sharma K. S., being published in J. Phys.F.

  32. Beg M. M., Nielsen M., Phys. Rev.B 14 (1976), 4266.

    Google Scholar 

  33. Woods A. D. B., Brockhouse B. N., March N., Steward A. T., Bowers R., Phys. Rev.128 (1962), 1112.

    Google Scholar 

  34. Cowley R. A., Woods A. D. B., Dolling G., Phys. Rev.150 (1966) 487.

    Google Scholar 

  35. Copley J. R. D., Brockhouse B. N., Chen S. H., Neutron Inelastic Scattering (IAEA Vienna 1968), Vol. I, p. 209.

    Google Scholar 

  36. Kittel C., Introduction to Solid State Physics, John Wiley, Inc., New York 1971, p. 150.

    Google Scholar 

  37. Gutman E. J., Trivisonno J., J. Phys. Chem. Solids28 (1967), 805.

    Google Scholar 

  38. Huntington H. B., The Elastic Constants of Crystals, Academic Press, Inc., New York 1958, p. 76.

    Google Scholar 

  39. Smith H. G., Dolling G., Nicklow R. M., Vijayaraghavan P. R., Wilkinson M. K., Neutron Inelastic Scattering (IAEA Vienna 1968), Vol. I, p. 149.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

A preliminary report of this work as applied to Na has appeared in Solid State Communications30 (1979), 749.

On leave from:Maharani Shri Jaya College, Bharatpur-321 001.

The authors express their deep sense of gratitude in Prof. T. Toya, Hokkaido University for continual encouragement and thankfully acknowledge the departmental facilities extended by Dr. M. P. Saksena, Head of the Department. One of the authors (K.S.S.) also thanks U.G.C. for providing him a teacher-fellowship.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sharma, K.S., Kachhava, C.M. Linear potential and phonons in alkali-metals. Czech J Phys 30, 531–540 (1980). https://doi.org/10.1007/BF01596302

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01596302

Keywords

Navigation