Skip to main content
Log in

The structure of the liquid alkali metals

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

We present calculations of the structure of the liquid alkali-metals, based on the optimized random phase approximation and on effective interatomic pair potentials derived from pseudopotential perturbation theory. In our approach the atomic interactions are decomposed self-consistently into a repulsive short-ranged part and a weak long-range perturbation, the repulsive part being modelled by a hard-sphere reference system via the Weeks-Chandler Andersen functional expansion. We show detailed comparisons with computer-simulation data and with experiment, demonstrating that the optimized random phase approximation with a hard-sphere reference system applies equally well to the liquid alkali metals as to the liquid polyvalent metals. Thus it is a comprehensive description of all liquid simple metals from Li to Pb.

The conceptual advantages of this method as compared to other approaches are 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

References

  1. Ashcroft, N.W., Langreth, D.C.: Phys. Rev.145, 83 (1966)

    Google Scholar 

  2. Jones, H.D.: J. Chem. Phys.55, 2640 (1971)

    Google Scholar 

  3. Umar, I.H., Meyer, A., Watabe, M., Young, W.H.: J. Phys. F4, 1691 (1974)

    Google Scholar 

  4. Hafner, J.: Phys. Rev. A16, 351 (1977)

    Google Scholar 

  5. Weeks, J.D., Chandler, D., Andersen, H.C.: J. Chem. Phys.55, 1497 (1971)

    Google Scholar 

  6. Andersen, H.C., Chandler, D., Weeks, J.D.: Adv. Chem. Phys.34, 105 (1976)

    Google Scholar 

  7. Beck, H., Oberle, R.: J. Phys. (Paris) Colloq.41, C8–289 (1980)

    Google Scholar 

  8. Regnault, C., Badiali, J.P., Dupont, M.: J. Phys. (Paris) Colloq.41, C8–603 (1980)

    Google Scholar 

  9. Kahl, G., Hafner, J.: Solid State. Commun.49, 1125 (1984)

    Google Scholar 

  10. Hafner, J., Kahl, G.: J. Phys. F14, 2259 (1984)

    Google Scholar 

  11. Kahl, G., Hafner, J.: Phys. Rev. A29, 3310 (1984)

    Google Scholar 

  12. Minoo, H., Deutsch, C., Hansen, J.P.: J. Phys. (Paris) Lett38, L191 (1977)

    Google Scholar 

  13. Ross, M., Witt, H.E. de, Hubbard, W.B.: Phys. Rev. A24, 1016 (1981)

    Google Scholar 

  14. Mon, K.K., Gann, R., Stroud, D.: Phys. Rev. A24, 2145 (1981)

    Google Scholar 

  15. Hayter, J.B., Pynn, R., Suck, J.B.: J. Phys. F13, L1 (1983)

    Google Scholar 

  16. Singh, H.B., Holz, A.: Phys. Rev. A28, 1108 (1983)

    Google Scholar 

  17. Madden, W.G., Rice, S.A.: J. Chem. Phys.72, 4208 (1980)

    Google Scholar 

  18. Madden, W.G.: J. Chem. Phys.75, 1984 (1981)

    Google Scholar 

  19. Chaturvedi, D.K., Senatore, G., Tosi, M.P.: Lett. Nuovo Cimento30, 47 (1981)

    Google Scholar 

  20. Pastore, G., Senatore, G., Tosi, M.P.: Physica111B, 283 (1981)

    Google Scholar 

  21. Senatore, G., Tosi, M.P.: Phys. Chem. Liq.11, 365 (1982)

    Google Scholar 

  22. Pastore, G., Tosi, M.P.: Physica124 B, 383 (1984)

    Google Scholar 

  23. Kahl, G., Hafner, J.: Phys. Chem. Liq.12, 109 (1982)

    Google Scholar 

  24. Gillan, M.J.: J. Phys. C7, L1 (1984)

    Google Scholar 

  25. Chaturvedi, D.K., Senatore, G., Tosi, M.P.: Nuovo Cimento B62, 375 (1981)

    Google Scholar 

  26. Palmer, R.G., Weeks, J.D.: J. Chem. Phys.58, 4171 (1973)

    Google Scholar 

  27. Rosenfeld, Y.: J. Phys. C15, L125 (1981)

    Google Scholar 

  28. Heine, V., Weaire, D.: Solid State Physics24, 249 (1970)

    Google Scholar 

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

    Google Scholar 

  30. Ichimaru, S., Utsumi, K.: Phys. Rev. B24, 7385 (1981)

    Google Scholar 

  31. Ichimaru, S.: Rev. Mod. Phys.54, 1017 (1982)

    Google Scholar 

  32. Rahman, A.: Phys. Rev. A9, 1667 (1974)

    Google Scholar 

  33. Mountain, R.D.: Phys. Rev. A26, 2859 (1982)

    Google Scholar 

  34. Price, D.L.: Phys. Rev. A4, 358 (1971)

    Google Scholar 

  35. Price, D.L., Singwi, K.S., Tosi, M.P.: Phys. Rev. B2, 2983 (1970)

    Google Scholar 

  36. Singwi, K.S., Sjölander, A., Tosi, M.P., Land, R.H.: Phys. Rev. B1, 1044 (1970)

    Google Scholar 

  37. Jacobs, R.E., Andersen, H.C.: Chem. Phys.10, 73 (1975)

    Google Scholar 

  38. Evans, R., Telo da Gama, M.M.: Mol. Phys.41, 1091 (1981)

    Google Scholar 

  39. Olbrich, H., Ruppersberg, H., Steeb, S.: Z. Naturforsch.38a, 1328 (1983)

    Google Scholar 

  40. Hujben, M.J., Lugt, W. van der: Acta Crystallogr. A35, 431 (1979)

    Google Scholar 

  41. Waseda, Y.: The structure of non-crystalline materials, p. 287f. New York: McGraw Hill 1981

    Google Scholar 

  42. Zei, M.S.: Phys. Rev. B24, 4509 (1981)

    Google Scholar 

  43. Dharma-Wardana, M.W.C., Aers, G.C.: Phys. Rev. B28, 1701 (1983)

    Google Scholar 

  44. Franz, G., Freyland, W., Gläser, W., Hensel, F., Schneider, E.: J. Phys. (Paris) Colloq.41, C8–194 (1980)

    Google Scholar 

  45. Cummings, P.T., Egelstaff, P.A.: J Phys. F12, 233 (1982)

    Google Scholar 

  46. Egelstaff, P.A., Suck, J.B., Gläser, W., McPherson, R., Teistma, A.: J. Phys. (Paris) Colloq.41, C8–222 (1980)

    Google Scholar 

  47. Waseda, Y.: Z. Naturforsch.38a, 509 (1983)

    Google Scholar 

  48. Bretonnet, J.L., Regnaut, C.: Phys. Rev. (in print)

  49. Kahl, G., Hafner, J.: (to be published)

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kahl, G., Hafner, J. The structure of the liquid alkali metals. Z. Physik B - Condensed Matter 58, 283–291 (1985). https://doi.org/10.1007/BF01303669

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01303669

Keywords

Navigation