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Part of the book series: NATO ASI Series ((NSSB,volume 113))

Abstract

A considerable part of all efforts in electronic structure theory is directed towards the understanding of the energetics of atoms, molecules and solids. Problems of interest are for instance the binding energy of molecules and solids, the compressibility of solids, the heat of formation of compounds, the energy associated with structural changes in solids and, more recently, the determination of the spatial arrangement of atoms on the surfaces of solids. These problems are often of considerable interest as far as practical applications are concerned. With a few exceptions, notably the energetics- of atoms and small molecules for which there exist sophisticated and quantitavely accurate methods, density-functional theory is presently our only means of attacking these complicated problems. Fortunately, as will become evident from the different lectures of this school, density-functional theory is capable of yielding not only insight into the qualitative aspects of these problems but can also provide rather accurate quantitative answers to them. This is the basis for the large and growing interest in density-functional methods in the last decade. This interest is reflected in several recent review articles on the subject and for further information we refer the reader, e.g., to Ref. 1 and Ref. 2. The present notes rely heavily on Ref. 1 and they can be described as an abbreviated and edited version of Ref. 1 but with new material added.

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References

  1. A.R. Williams and U. von Barth, “Applications of Density-Functional Theory to Atoms, Molecules and Solids” in “Theory of the Inhomogeneous Electron Gas”, edited by S. Lundqvist and N.H. March, Physics of Solids and Liquids Series, Plenum (1983).

    Google Scholar 

  2. A.K. Rajagopal, Advances in Chemical Physics, edited by I. Prigogine and S.A. Rice, 41, 59, Wiley, New York (1980).

    Google Scholar 

  3. D.R. Hartree, Proc.Comb.Phil.Soc. 24, 89 (1928).

    ADS  Google Scholar 

  4. L.H. Thomas, Proc.Comb.Phil.Soc. 23, 542 (1927).

    ADS  MATH  Google Scholar 

  5. E. Fermi, Rend.Acad.Naz.Lincei 6, 602 (1927).

    Google Scholar 

  6. P. Hohenberg and W. Kohn, Phys.Rev. 136, B864 (1964).

    MathSciNet  ADS  Google Scholar 

  7. W. Kohn and L.J. Sham, Phys.Rev. 140, A1133 (1965).

    MathSciNet  ADS  Google Scholar 

  8. L.J. Sham and W. Kohn, Phys.Rev. 145, 561 (1966).

    ADS  Google Scholar 

  9. M. Levy, Proc.Natl.Acad.Sci. USA, vol. 76, 6062 (1979).

    ADS  Google Scholar 

  10. U. von Barth and L. Hedin, J.Phys.C 5, 1629 (1972).

    ADS  Google Scholar 

  11. O. Gunnarsson and B.I. Lundqvist, Phys.Rev.B 13, 4274 (1976).

    ADS  Google Scholar 

  12. N.D. Mermin, Phys.Rev. 137, A1441 (1965).

    MathSciNet  ADS  Google Scholar 

  13. J.F. Janak, Solid State Commun. 25, 53 (1978).

    Google Scholar 

  14. A.K. Rajagopal and J. Callaway, Phys.Rev.B 7, 1912 (1973).

    ADS  Google Scholar 

  15. J.G. Zabolitzky, Phys.Rev. B 22, 2353 (1980).

    ADS  Google Scholar 

  16. L. Hedin and B.I. Lundqvist, J.Phys.C 4, 2064 (1971).

    ADS  Google Scholar 

  17. G. Arbman and U. von Barth, J.Phys.F 5, 1155 (1975).

    ADS  Google Scholar 

  18. M. Gell-Mann and K.A. Brueckner, Phys.Rev. 106, 364 (1957).

    MathSciNet  ADS  MATH  Google Scholar 

  19. E.P. Wigner, Trans.Faraday Soc. 34, 678 (1938).

    Google Scholar 

  20. K.S. Singwi, A. Sjölander, M.P. Tosi, and R.H. Land, Phys.Rev.B 1, 1044 (1970).

    ADS  Google Scholar 

  21. D.M. Ceperley, Phys.Rev. B 18, 3126 (1978).

    ADS  Google Scholar 

  22. D.M. Ceperley and B.J. Alder, Phys-.Rev.Lett. 45, 566 (1980).

    ADS  Google Scholar 

  23. R.F. Bishop and K.H. Luhrmann, Phys.Rev. B 26, 5523 (1982).

    ADS  Google Scholar 

  24. U. von Barth, Physica Scripta 21, 585 (1980).

    ADS  Google Scholar 

  25. J. Kübler, J. Magnetism and Magn. Mater. 20, 277 (1980).

    Google Scholar 

  26. H.L. Skriver, J.Phys.F 11, 97 (1981).

    ADS  Google Scholar 

  27. S.H. Vosko, L. Wilk and M. Nusair, Can.J.Phys. 58, 1200 (1980).

    ADS  Google Scholar 

  28. A.K. Rajagopal, J.Phys.C 11, L943 (1978).

    ADS  Google Scholar 

  29. A.H. McDonald and S.H. Vosko, J.Phys.C 12, 2977 (1979).

    ADS  Google Scholar 

  30. M.P. Das, M.V. Ramana and A.K. Rajagopal, Phys.Rev.A 22, 9 (1980).

    ADS  Google Scholar 

  31. M.V. Ramana and A.K. Rajagopal, Phys.Rev. A 24, 1689 (1981).

    ADS  Google Scholar 

  32. M.V. Ramana, A.K. Rajagopal and W.R. Johnson, Phys.Rev. A 25, 96 (1982).

    ADS  Google Scholar 

  33. O. Gunnarsson, B.I. Lundgvis,t and J.W. Wilkins, Phys. Rev. B 10, 1319 (1974).

    ADS  Google Scholar 

  34. Uday Gupta and A.K. Rajagopal, Phys.Rev. A 22, 2792 (1980).

    ADS  Google Scholar 

  35. L.J. Sham, in: Computational Methods in Band Theory, (P.J. Marcus, J.F. Janak, and A.R. Williams eds.), p. 458, Plenum New York (1971).

    Google Scholar 

  36. D.J.W. Geldart, M. Rasolt and R. Taylor, Solid State Commun. 10, 279 (1972).

    ADS  Google Scholar 

  37. L. Kleinman, Phys.Rev. B 10, 2221 (1974).

    ADS  Google Scholar 

  38. D.J.W. Geldart, M. Rasolt and C.O. Almbladh, Solid State Commun. 16, 243 (1975).

    ADS  Google Scholar 

  39. A.K. Rajagopal and S. Ray, Phys.Rev.B 12, 3129 (1975).

    ADS  Google Scholar 

  40. A.K. Gupta and K.S. Singwi, Phys.Rev. B 15, 1801 (1977).

    ADS  Google Scholar 

  41. A.K. Rajagopal and S.P. Singhal, Phys.Rev. B 16, 601 (1977).

    ADS  Google Scholar 

  42. D.J.W. Geldart and M. Rasolt, Phys.Rev. B 13, 1477 (1976).

    ADS  Google Scholar 

  43. M. Rasolt, Phys.Rev. B 16, 3234 (1977).

    ADS  Google Scholar 

  44. O. Gunnarsson, M. Jonson and B.I. Lundqvist, Phys.Rev. B 20, 3136 (1979).

    ADS  Google Scholar 

  45. F. Herman, J.P. Van Dyke, and I.B. Ortenburger, Phys.Rev.Lett. 22, 807 (1969).

    ADS  Google Scholar 

  46. D.J.W. Geldart and R. Taylor, Can.J.Phys. 48, 155 (1970) and 48, 167 (1970).

    ADS  Google Scholar 

  47. D.C. Langreth and J.P. Perdew, Phys.Rev. B 21, 5469 (1980).

    ADS  Google Scholar 

  48. D.C. Langreth and J.P. Perdew, Phys.Rev. B 15, 2884 (1977).

    ADS  Google Scholar 

  49. J.E. Inglesfield and E. Wikborg, Solid State Commun. 16, 335 (1975).

    Google Scholar 

  50. J.P. Perdew, D.C. Langreth and V. Sahni, Phys.Rev.Lett. 381030 (1977).

    ADS  Google Scholar 

  51. C.O. Almbladh, Technical Report, University of Lund (1972).

    Google Scholar 

  52. B.Y. Tong, Phys.Rev. A 4, 1375 (1971).

    ADS  Google Scholar 

  53. D.C. Langreth and M.J. Mehl, Phys.Rev.Lett. 47, 446 (1981).

    ADS  Google Scholar 

  54. D.C. Langreth and M.J. Mehl, Phys.Rev. B 28, (1983).

    Google Scholar 

  55. O. Gunnarsson, M. Jonson, B.I. Lundqvist, Phys.Lett. 59A, 177 (1976).

    ADS  Google Scholar 

  56. O. Gunnarsson, M. Jonson, B.I. Lundqvist, Solid State Commun. 24, 765 (1977).

    ADS  Google Scholar 

  57. J.A. Alonso and L.A. Girifalco, Phys..Rev. B 17, 3735, (1978).

    ADS  Google Scholar 

  58. B.Y. Tong and L.J. Sham, Phys.Rev. 144, 1 (1966).

    ADS  Google Scholar 

  59. O. Gunnarsson and R.O. Jones, Physica Scripta 21, 394 (1980).

    ADS  Google Scholar 

  60. U. von Barth and C.D. Gelatt, Phys.Rev.B 21, 2222 (1980).

    ADS  Google Scholar 

  61. V.L. Moruzzi, A.R. Williams and J.F. Janak, Phys.Rev. B 15, 2854 (1977).

    ADS  Google Scholar 

  62. C.O. Almbladh and U. von Barth, to be published.

    Google Scholar 

  63. J.C. Kimball, Phys.Rev.B 14, 2371 (1976).

    ADS  Google Scholar 

  64. C.O. Almbladh, U. von Barth, Z.D. Popovic and M.J. Stott, Phys. Rev. B 14, 2250 (1976).

    ADS  Google Scholar 

  65. K. Schwarz, Chem.Phys.Lett. 57, 605 (1978).

    ADS  Google Scholar 

  66. R.O. Jones, J.Chem.Phys. 71, 1300 (1979).

    ADS  Google Scholar 

  67. N.D. Lang, Phys..Rev.Lett. 46, 842 (1981).

    ADS  Google Scholar 

  68. D. Pines, “Elementary Excitations in Solids”, p. 75, Benjamin, New York (1963).

    Google Scholar 

  69. A.K. Rajagopal, J.C. Kimball and M. Banerjee, Phys.Rev. B 18, 2339 (1978).

    ADS  Google Scholar 

  70. N.D. Lang and W. Kohn, Phys.Rev. B 1, 4555 (1970).

    ADS  Google Scholar 

  71. U. von Barth and R. Car, to be published.

    Google Scholar 

  72. D.R. Hamann, Phys.Rev.Lett.: 42, 662 (1979).

    ADS  Google Scholar 

  73. U. von Barth, Phys.Rev. A 20, 1693 (1979).

    ADS  Google Scholar 

  74. T. Ziegler, A. Rauk and E.J. Baerends, Theoret.Chim.Acta 43, 261 (1977).

    Google Scholar 

  75. J.H. Wood, J.Phys.B 13, 1 (1980).

    ADS  Google Scholar 

  76. O. Gunnarsson and R.O. Jones, J.Chem.Phys. 72, 5357 (1980).

    ADS  Google Scholar 

  77. C.E. Moore, “Atomic Energy Levels”, Circular of the National Bureau of Standards, Washington, D.C., 1949, vol. I, pp. 467.

    Google Scholar 

  78. A.K. Theophilou, J.Phys.C 12, 5419 (1979).

    ADS  Google Scholar 

  79. C.O. Almbladh and U. von Barth, Phys.Rev. B 33, 3307 (1976).

    ADS  Google Scholar 

  80. A.R. Williams and N.D. Lang, Phys.Rev.Lett. 40, 954 (1978).

    ADS  Google Scholar 

  81. N.D. Lang and A.R. Williams, Phys.Rev. B 20, 1369 (1979).

    ADS  Google Scholar 

  82. V. Peuckert, J.Phys.C 11, 4945 (1978).

    ADS  Google Scholar 

  83. L. Hedin and S. Lundqvist, in Solid State Physics (F. Seitz, D. Turnbull and H. Ehrenreich, eds.), vol. 23, p. 1, Academic Press, New York (1969).

    Google Scholar 

  84. A. Zangwill and P. Soven, Phys.Rev. A 21, 1561 (1980).

    ADS  Google Scholar 

  85. A. Zangwill and P. Soven, Phys.Rev.Lett. 45, 204 (1980).

    ADS  Google Scholar 

  86. J.C. Slater and J.H. Wood, Int. J. Quantum Chem. Suppl. 4, 3 (1971).

    Google Scholar 

  87. J. Janak, Phys.Rev. B 18, 7165 (1978).

    ADS  Google Scholar 

  88. J.C. Wheatley, Rev.Mod.Phys. 47, 415 (1975).

    ADS  Google Scholar 

  89. J.E. Demuth, P.M. Marcus and D.W. Jepsen, Phys.Rev.B 11, 1460 (1975).

    ADS  Google Scholar 

  90. P. Lee and G. Beni, Phys.Rev. B 15, 2862 (1977).

    ADS  Google Scholar 

  91. U. von Barth and R. Car, to be published.

    Google Scholar 

  92. C.O. Almbladh and A.C. Pedroza, to be published.

    Google Scholar 

  93. J.D. Talman and W.F. Shadwick, Phys.Rev. A 14, 36 (1976).

    ADS  Google Scholar 

  94. K. Aashamar, T.M. Luke and J.D. Talman, Phys.Rev. A 19, 6 (1979).

    ADS  Google Scholar 

  95. H. Siegbahn and L. Karlsson, “Photoelectron Spectroscopy” in “Handbuch der Physik”, vol. XXXI, edited by S. Flügge and W. Mehlhorn, pp. 316, Springer Verlag, Berlin (1982).

    Google Scholar 

  96. J.C. Slater, Quantum Theory of Molecules and Solids: vol. 4, McGraw-Hill, New York (1974).

    Google Scholar 

  97. G.P. Kerker, Phys.Rev. B 24, 3468 (1981).

    ADS  Google Scholar 

  98. A.R. Mackintosh and O.K. Andersen, in “Electrons at the Fermi Surface”, (M. Springford, Ed.) Cambridge Univ. Press, Cambridge (1980).

    Google Scholar 

  99. D.G. Pettifor, J.Phys.C 3, 367 (1970).

    ADS  Google Scholar 

  100. J.F. Janak, A.R. Williams and V.L. Moruzzi, Phys.Rev. B 11, 1522 (1975).

    ADS  Google Scholar 

  101. F.J. Himpsel, D.E. Eastman, E.E. Koch and A.R. Williams, Phys. Rev. 22, 4604 (1980).

    ADS  Google Scholar 

  102. M.I. Chodorow, Ph. D. Thesis (MIT 1939), unpublished.

    Google Scholar 

  103. C.D. Gelatt, Jr., H. Ehrenreich and R.E. Watson, Phys.Rev. 15, 1613 (1977).

    ADS  Google Scholar 

  104. P. Thiry, D. Chandearis, J. Leconte, C. Guillot, R. Pinchaux and Y. Petroff, Phys.Rev.Lett. 43, 82 (1979).

    ADS  Google Scholar 

  105. G.A. Burdick, Phys.Rev. 129, 138 (1963).

    ADS  MATH  Google Scholar 

  106. C. Guillot, Y. Ballu, J. Paigne, J. Lecante, K.P. Join, P. Thiry, R. Pinchaux, Y. Petroff and L.M. Falicov, Phys.Rev.Lett. 19, 1632 (1977).

    ADS  Google Scholar 

  107. D.R. Penn, Phys.Rev.Lett. 42, 921 (1979); J.Appl.Phys. 50, 7480 (1979).

    ADS  Google Scholar 

  108. A. Liebsch, Phys.Rev.Lett. 43, 1431 (1979).

    ADS  Google Scholar 

  109. G. Treglia, F. Ducastelle and D. Spanjaard, Phys.Rev. B 21, 3729 (1980).

    ADS  Google Scholar 

  110. D.M. Edwards, Inst.Phys.Conf.Ser. No. 39, 279 (1978).

    Google Scholar 

  111. L.C. Davis and L.A. Feldkamp, J.Appl.Phys. 50, 1944 (1979).

    ADS  Google Scholar 

  112. J.F. Janak, Phys.Rev. B 16, 255 (1977).

    ADS  Google Scholar 

  113. J.F. Janak and A.R. Williams, Phys.Rev. B 14, 4199 (1976).

    ADS  Google Scholar 

  114. J.F. Janak, Phys.Rev. 20, 2206 (1979).

    ADS  Google Scholar 

  115. A.H. MacDonald, J.Phys.F 10, 1737 (1980).

    ADS  Google Scholar 

  116. L. Hedin, Arkiv. Fysik 30, 231 (1965).

    Google Scholar 

  117. W. Brinkman and B. Goodman, Phys. Rev. 149, 597 (1966).

    ADS  Google Scholar 

  118. A.B. Kunz, Phys.Rev.B 6, 606 (1972).

    ADS  Google Scholar 

  119. J.C. Inkson, J.Phys.C 6, L181 (1973).

    ADS  Google Scholar 

  120. L. Dagens and F. Perrot, Phys.Rev. B 8, 1281 (1973).

    ADS  Google Scholar 

  121. E.O. Kane, in “Proceedings of the twelfth international conference on the physics of semiconductors” (M.H. Pilkuhn ed.), p. 169, B.G. Teubner, Stuttgart (1974).

    Google Scholar 

  122. G. Strinati, H.J. Mattausch and W. Hanke, Phys.Rev.Lett. 45, 290 (1980).

    ADS  Google Scholar 

  123. R.E. Watson, J.F. Herbst, L. Hodges, B.I. Lundqvist and J.W. Wilkins, Phys.Rev. B 13, 1463 (1976).

    ADS  Google Scholar 

  124. M. Rasolt and S.H. Vosko, Phys.Rev. B 10, 4195 (1974).

    ADS  Google Scholar 

  125. S.B. Nickerson and S.H. Vosko, Phys.Rev. B 14, 4399 (1976).

    ADS  Google Scholar 

  126. J. S-Y. Wang and M. Rasolt, Phys.Rev. B 15, 3714 (1977).

    ADS  Google Scholar 

  127. M. Rasolt, S.B. Nickerson and S.H. Vosko, Solid State Commun. 16, 827 (1975).

    ADS  Google Scholar 

  128. J.F. Janak, A.R. Williams and V.L. Moruzzi, Phys.Rev. B 6, 4367 (1972).

    ADS  Google Scholar 

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von Barth, U. (1984). Density Functional Theory for Solids. In: Phariseau, P., Temmerman, W.M. (eds) The Electronic Structure of Complex Systems. NATO ASI Series, vol 113. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2405-8_3

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