The Electronic and Cohesive Properties of Disordered Simple Metals

  • R. Evans
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 42)


Simple metals are those without d or f electrons in the conduction band and whose core levels lie at energies well below the conduction band. For these metals it is reasonable to assume that the core electrons are rigidly fixed to the nuclei so that an elemental metal can be well-represented by a two component system of N ions and NZ ’conduction’ electrons where Z is the usual chemical valence. The alkalis, Be, Mg, Zn, Cd, Hg, Al, Ga, In, Sn, Tl and Pb are usually described as simple metals. The outer electronic structure of these metals is characterized by extended s and p like states and, to some extent, can be said to be nearly-free-electron like. The alkaline earths Ca, Sr and Ba have unfilled d bands and their hybridisation with the nearly-free s-p bands has significant effects on the electronic structure in the neighbourhood of the Fermi energy. Consequently, the alkaline earths can be considered intermediate between simple and transition metals. The latter, of course, have unfilled d states at the Fermi energy.


Liquid Metal Simple Metal Reciprocal Lattice Vector Coherent Potential Approximation Vacancy Formation Energy 
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  1. Abarenkov, I., and Heine, V., 1965, Phil. Mag., 12, 529.ADSCrossRefGoogle Scholar
  2. Animalu, A.O.E., 1967, Phys. Rev., 161, 445.ADSCrossRefGoogle Scholar
  3. Animalu, A.O.E., and Heine V., 1965, 12, 1249.Google Scholar
  4. Ashcroft, N.W., and Langreth, D.C., 1967, Phys. Rev., 155, 682.ADSCrossRefGoogle Scholar
  5. Ashcroft, N.W., and Lekner, J., 1966, Phys. Rev., 145, 83.ADSCrossRefGoogle Scholar
  6. Ashcroft, N.W., and Stroud, D., 1978, in Sol. St. Phys. (to appear).Google Scholar
  7. Austin, B.J., Heine, V., and Sham, L.J., 1962, Phys. Rev., 127, 276.ADSCrossRefMATHGoogle Scholar
  8. Ballentine, L.E., 1975, Adv. Chem. Phys., 31, 263.CrossRefGoogle Scholar
  9. Callaway, J., 1977, in ’Electrons in Finite and Infinite Structures1 ed. P. Phariseau and L. Scheire (NATO ASI Series, B24, Plenum) p. 321.Google Scholar
  10. Cohen, M.L., and Heine, V., 1970, Sol. St. Phys., 24, 38.Google Scholar
  11. Ehrenreich, H., and Schwartz, L.M., 1976, Sol. St. Phys., 31, 149.CrossRefGoogle Scholar
  12. Evans, R., 1977, in ’Vacancies ’76’, ed. R.E. Smallman and J.E. Harris, (London : Metals Soc. )p. 30.Google Scholar
  13. Evans, R., 1978, in ’Microscopic Structure and Dynamics of Liquids1 ed. A.J. Dianaux and J. Dupuy (NATO ASI Series, B33, Plenum) p. 153.Google Scholar
  14. Evans, R., and Finnis, M.W., 1976, J. Phys.F., 6, 483.ADSCrossRefGoogle Scholar
  15. Evans, R., and Kumaravadivel, R., 1976, J.Phys.C, 9, 1891.ADSCrossRefGoogle Scholar
  16. Evans, R., and Schirmacher, W., 1978, J. Phys.C, 11, 2437.ADSCrossRefGoogle Scholar
  17. Faber, T.E., 1972, ’Introduction to the Theory of Liquid Metals’ (London : Cambridge University Press).Google Scholar
  18. Finnis, M.W., 1975, J.Phys.F., 5, 2227.ADSCrossRefGoogle Scholar
  19. Geldart, D.J.W., and Taylor, R., 1970, Can. J. Phys., 48, 167.ADSCrossRefGoogle Scholar
  20. Guggenheim, E.A., 1952, ’Mixtures’ (Oxford : Oxford University Press).Google Scholar
  21. Gunnarsson, O., 1978, this volume.Google Scholar
  22. Hafner, J. 1976, J. Phys. F., 6, 1243.MathSciNetADSCrossRefGoogle Scholar
  23. Hafner, J., 1977a, Phys. Rev. B., 15, 617.ADSCrossRefGoogle Scholar
  24. Hafner, J., 1977b, in ’Liquid Metals 1976’ ed. R. Evans and D.A. Greenwood (Inst. of Phys. Conf. Series No. 30) p. 102.Google Scholar
  25. Hansen, J.-P., and McDonald, I.R., 1976, ’Theory of Simple Liquids1 (New York,: Academic Press).Google Scholar
  26. Harrison, W.A., 1966, ’Pseudopotentials in the Theory of Metals1 (New York : Benjamin).Google Scholar
  27. Hasegawa, M., 1976, J. Phys. F., 6, 649.ADSCrossRefGoogle Scholar
  28. Hasegawa, M., and Watabe, M., 1972, J. Phys. Soc. Japan, 32, 14.ADSCrossRefGoogle Scholar
  29. Heald, P.T., 1977, in ’Vacancies ’76’, ed. R.E. Smallmann and J.E. Harris (London : Metals Soc. ), p. 11.Google Scholar
  30. Heine, V., 1973, in ’Transition Metals 1977’ ed. M.J.G. Lee, J.P. Perz and E. Fawcett (Inst. of Phys. Conf. Series No. 39) p. 722.Google Scholar
  31. Heine, V., and Weaire, D., 1970, Sol. St. Phys., 24, 250.Google Scholar
  32. Hohenberg, P.C., and Kohn, W., 1964, Phys. Rev., 136, B 864.MathSciNetADSCrossRefGoogle Scholar
  33. Hubbard, J., 1958, Proc. Roy. Soc., A243, 336.MathSciNetADSGoogle Scholar
  34. Inglesfield, J.E., 1969a, J. Phys. C., 2, 1285.ADSCrossRefGoogle Scholar
  35. Inglesfield, J.E., 1969b, J. Phys. C., 2, 1293.ADSCrossRefGoogle Scholar
  36. Inglesfield, J.E., 1969c, Acta Met., 17, 1395.CrossRefGoogle Scholar
  37. Jacucci, G., McDonald, I.R., and Taylor R., 1978, J. Phys. F., 8, L121.ADSCrossRefGoogle Scholar
  38. Johnston, R.A., 1973, J. Phys.F., 3, 295.ADSCrossRefGoogle Scholar
  39. Jones, H.D., 1973, Phys. Rev. A, 8, 3215.ADSCrossRefGoogle Scholar
  40. Kohn, W., and Sham, L.J., 1965, Phys. Rev., 140, A 1133.MathSciNetADSCrossRefGoogle Scholar
  41. Kumaravadivel, R., and Evans, R., 1976, J. Phys. C., 9, 3877.ADSCrossRefGoogle Scholar
  42. Lang, N.D., 1973, Sol. St. Phys., 21B, 224.Google Scholar
  43. Lang, N.D., and Kohn, W., 1970, Phys. Rev. B., 1, 4555.ADSCrossRefGoogle Scholar
  44. Leung, C.H., 1978, to be published.Google Scholar
  45. Leung, C.H., Stott, M.J., and Young, W.H., 1976, J. Phys.F., 6, 1039.ADSCrossRefGoogle Scholar
  46. Manninen, M., and Nieminen, R., 1978, to be published.Google Scholar
  47. Manninen, M., Nieminen, R., Hautojärvi, P., and Arponen, J., 1975, Phys. Rev. B, 12, 4012.ADSCrossRefGoogle Scholar
  48. McLaren, R.E., and Sholl, C.A., 1974, J. Phys. F., 4, 2172.ADSCrossRefGoogle Scholar
  49. Minchin, P., Meyer, A., and Young, W.H., 1974, J. Phys. F., 4, 2117.ADSCrossRefGoogle Scholar
  50. Monnier, R., and Perdew, J.P., 1978, Phys. Rev. B., 17, 2595.ADSCrossRefGoogle Scholar
  51. Norris, C., 1977, in ’Liquid Metals 19761 ed. R. Evans and D.A. Greenwood (Inst. of Phys. Conf. Series No. 30) p. 171.Google Scholar
  52. Pettifor, D.G., 1970, J. Phys. C., 3, 367.ADSCrossRefGoogle Scholar
  53. Pettifor, D.G., 1977, Calphad, 1, 305.CrossRefGoogle Scholar
  54. Pickett, W.E., and Györffy, B.L., 1976, in ’Superconductivity in d and f Band Metals’ ed. D.H. Douglass (New York : Plenum) p. 251.CrossRefGoogle Scholar
  55. Pines, D., and Nozières, P., 1966, ’Quantum Liquids’ (New York : Benjamin).Google Scholar
  56. Price, D.L., 1971, Phys. Rev. A, 4, 358.ADSCrossRefGoogle Scholar
  57. Rasolt, M., and Taylor, R., 1975, Phys. Rev. B., 11, 2717.ADSCrossRefGoogle Scholar
  58. Ratti, V.K., and Evans, R., 1973, J. Phys. F., 3, L 238.ADSGoogle Scholar
  59. Shaw, R.W., 1968, Phys. Rev., 174, 769.ADSCrossRefGoogle Scholar
  60. Slater, J.C., 1974, ’Quantum Theory of Molecules and Solids’ Vol.IV. (New York : McGraw-Hill).Google Scholar
  61. Stern, E.A., 1966, Phys. Rev., 144, 545.ADSCrossRefGoogle Scholar
  62. Stocks, G.M., Gaspari, G.D., and Györffy, B.L., 1972, J. Phys. F., 2, L 123.ADSCrossRefGoogle Scholar
  63. Stott, M.J., 1978, in ’Properties of Atomic Defects in Metals’ ed. N.L. Peterson and R.W. Siegel (Published in J. Nuc. Mat. 69 and 70) p. 157.Google Scholar
  64. Stroud, D., and Ashcroft, N.W., 1971, J. Phys. F., 1, 113.ADSCrossRefGoogle Scholar
  65. Stroud, D., and Ashcroft, N.W., 1972, Phys. Rev. B, 5, 371.ADSCrossRefGoogle Scholar
  66. Vashishta, P., and Singwi, K.S., 1972, Phys. Rev. B, 6, 875.ADSCrossRefGoogle Scholar
  67. Wallace, D.C., 1972, ’Thermodynamics of Crystals’ (New York : Wiley).Google Scholar
  68. Watabe, M., 1977, in ’Liquid Metals 1976’ ed. R. Evans and D.A. Greenwood (Inst. of Phys. Conf. Series No. 30) p. 288.Google Scholar
  69. Watabe, M., and Young, W.H., 1974, J. Phys. F., 4, L 29.ADSCrossRefGoogle Scholar
  70. Wotherspoon, J., 1977, private communication.Google Scholar
  71. Young, W.H., 1977, in ’Liquid Metals 1976’ ed. R. Evans and D.A. Greenwood (Inst. of Phys. Conf. Series No. 30) p.1.Google Scholar
  72. Ziman, J.M., 1970, Sol. St. Phys., 26, 1.CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1979

Authors and Affiliations

  • R. Evans
    • 1
  1. 1.H.H. Wills Physics LaboratoryUniversity of BristolBristolUK

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