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Theory of One Electron Binding Energies Including Correlation, Relativistic and Radiative Effects: Application to Free Atoms and Metals

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Excited States in Quantum Chemistry

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 46))

Abstract

The recent emphasis on non rare-gas core Binding Energies (BE) measurements and the continued use of these BE to probe bulk and surface properties makes this a timely subject to review. The wide range of atoms treated and the accuracies required place stringent demands on any comprehensive theory, forcing it to consider effects of relaxation, relativity, radiation, correlation, nuclear size and the bulk. To date, there is no theory capable of treating these simultaneously, although we suggest a means by which relativistic and correlation effects may eventually be unified. This would leave proper treatment of bulk effects as the prominent challenge.

The existing additive theory is reviewed and extended to include a way of making a priori determinations of when and what correlation effects are large. This allows assessment of experimental observations and of independent particle model results and eases computation of correlation effects. A simple method of including the significant radiative effects is also put forth. This theory has been applied to the 1s BE of C, O, O-, F, F-, Ne, Na, Na+ in excellent agreement with experiment (~ 0.1–0.2 eV), to all core subshells of K, (accuracies ~ 0.1–0.5 eV), and to selected subshells of Cs. Modifying Shirley’s ad hoc model for “extra atomic relaxation”, which we suggest has considerable utility, we produce metallic BE which agree with measured values to within 1–2 eV.

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References

  1. K Siegbahn, C. Nordling, A. Fahlman, R. Nordberg, K. Hamrin, J. Hedman, G. Johansson, T. Bergmark, S.-E. Karlsson, I. Lindgren, B. Lindberg, ESCA-Atomic, Molecular and Solid State Structure Studied by Means of Electron Spectroscopy, Nova Acta Reg. Soc. Sci. Upsaliensis, Ser. IV, 20 Uppsala (1967).

    Google Scholar 

  2. D.W. Turner, C. Baker, A.D. Baker, C.R. Brundle, Molecular Photoelectron Spectroscopy, Wiley-Interscience, 1970.

    Google Scholar 

  3. D.A. Shirley, editor, Electron Spectroscopy, North-Holland, Amsterdam (1972).

    Google Scholar 

  4. T.A. Carlson, Photoelectron and Auger Spectroscopy, Plenum Press (1975).

    Google Scholar 

  5. K.D. Sevier, Low Energy Electron Spectrometry, Wiley, 1972.

    Google Scholar 

  6. Proceedings of the Electron Spectroscopy Symposium, (Uppsala, May, 1972), Phys. Scr. 16, No. 5–6 (1977).

    Google Scholar 

  7. U. Gelius, J. Electr. Spectr. 5, 985 (1974).

    CAS  Google Scholar 

  8. S.P. Kowalczyk, L. Ley, R.L. Martin, F.R. McFeely, D.A. Shirley, Faraday Disc. Chem. Soc., Vancouver, Canada, July 15–17, 1975.

    Google Scholar 

  9. W. Mehlhorn, B. Breuckmann, and D. Hausamann, Phys. Scr. 16, 177 (1977).

    CAS  Google Scholar 

  10. M.S. Banna, D.C. Frost, C.A. McDowell, and B. Wallbank, J. Chem. Phys. 68, 696 (1978).

    CAS  Google Scholar 

  11. R.L. Martin, E.R. Davidson, M.S. Banna, B. Wallbank, D.C. Frost, and C.A. McDowell, J. Chem. Phys. 68, 5006 (1978).

    CAS  Google Scholar 

  12. P. Bisgaard, R. Bruch, P. Dahl, B. Fastrup, M. Rødbro, Phys. Scr. 17, 49 (1978).

    CAS  Google Scholar 

  13. M.W.D. Mansfield, Proc. Roy. Soc. A346, 555 (1975).

    Google Scholar 

  14. W. Lotz, J. Opt. Soc. Am. 58, 915 (1968).

    CAS  Google Scholar 

  15. D.A. Shirley, R.L. Martin, S.P. Kowalczyk, F.R. McFeely, and L. Ley, Phys. Rev. B15, 544 (1977).

    Google Scholar 

  16. M.O. Krause and C.W. Nestor, Jr., Phys. Scr. 16, 285 (1977).

    CAS  Google Scholar 

  17. D.R. Beck and C.A. Nicolaides, J. El. Spect. 8, 249 (1976).

    CAS  Google Scholar 

  18. V. Schmidt, N. Sander, W. Mehlhorn, M.Y. Adam and F. Wuilleumier, Phys. Rev. Letts. 38, 63 (1977).

    CAS  Google Scholar 

  19. D. Spence, J. Chem. Phys. 68, 2980 (1978).

    CAS  Google Scholar 

  20. H. Hartmann and E. Clementi, Phys. Rev. 133, A 1295 (1964).

    Google Scholar 

  21. H.A. Bethe and E.E. Salpeter, Quantum Mechanics of One and Two-Electron Atoms, Academic Press, 1957.

    Google Scholar 

  22. J.P. Desclaux, Comp. Phys. Comm. 9, 31 (1975).

    Google Scholar 

  23. I.P. Grant, Adv. Phys. 19, 747, (1970).

    CAS  Google Scholar 

  24. J.C Slater, Phys. Rev. 81, 385 (1951).

    CAS  Google Scholar 

  25. A. Rosen and I. Lindgren, Phys. Rev. 176, 114 (1968).

    Google Scholar 

  26. D.A. Liberman, J.T. Waber, and D.T. Cromer, Comp. Phys. Comm. 2, 107 (1971).

    CAS  Google Scholar 

  27. C. Froese-Fischer, Comp. Phys. Comm. 4, 107 (1972).

    Google Scholar 

  28. D.R. Hartree, The Calculation of Atomic Structures, Wiley, 1957.

    Google Scholar 

  29. J.P. Desclaux, D.F. Mayers, and F. O’Brien, J. Phys. B4, 631 (1971).

    Google Scholar 

  30. J.B. Mann and J.T. Waber, J. Chem. Phys. 53, 2397 (1970).

    CAS  Google Scholar 

  31. D.F. Mayers, private communication, 1971.

    Google Scholar 

  32. e.g. L.S. Cederbaum and W. Domcke, J. Chem. Phys. 66, 5084 (1977).

    Google Scholar 

  33. e.g. L. Hedin and G. Johansson, J. Phys. B2, 1336 (1969).

    Google Scholar 

  34. J. Linderberg and Y. Öhrn, Propagators in Quantum Chemistry, Academic, 1973 and this volume.

    Google Scholar 

  35. B.T. Pickup and O. Goscinski, Mol. Phys. 26, 1013 (1973).

    CAS  Google Scholar 

  36. L.S. Cederbaum, G. Hohlneicher, and W. von Niessen, Chem. Phys. Lett. 18, 503 (1973) and this volume.

    CAS  Google Scholar 

  37. F.P. Larkins in Atomic Inner Shell Processes, Vol. I, edited by B. Crasemann, Academic Press, 1975.

    Google Scholar 

  38. J.B. Mann and W.R. Johnson, Phys. Rev. A4, 41 (1971).

    Google Scholar 

  39. Y. Nambu, Prog. Theor. Phys. 5, 321 (1950).

    Google Scholar 

  40. M.H. Mittleman, Phys. Rev. 5A, 2395 (1972).

    Google Scholar 

  41. M. Blume and R.E. Watson, Proc. Roy. Soc. A271, 565 (1963).

    Google Scholar 

  42. J.P. Desclaux and Yong-Ki Kim, J. Phys. B8, 1177 (1975).

    Google Scholar 

  43. S.J. Rose, I.P. Grant and N.C. Pyper, J. Phys. B 11, 1171 (1978).

    CAS  Google Scholar 

  44. N.C. Pyper, I.P. Grant and R. Gerber, Chem. Phys. Letts. 49, 479 (1977).

    CAS  Google Scholar 

  45. G. Das and A.C. Wahl, J. Chem. Phys. 64, 4672 (1976).

    CAS  Google Scholar 

  46. D.P. Chong and Y. Takahata, Int. J. Quant. Chem. 12, 549 (1977).

    CAS  Google Scholar 

  47. H.P. Kelly, in P.G.H. Sandars, Ed. Atomic Physics 2, Plenum Press, 1973.

    Google Scholar 

  48. T. Lee, N.C. Dutta, and T.P. Das, Phys. Rev. A4, 1410 (1971).

    Google Scholar 

  49. S. Garpman, I. Lindgren, J. Lindgren, and J. Morrisen, Phys. Rev. 11A, 758 (1975).

    Google Scholar 

  50. R.K. Nesbet, Phys. Rev. 175, 2 (1968).

    CAS  Google Scholar 

  51. T. Shibuya and V. McKoy, Phys. Rev. A2, 1108 (1970).

    Google Scholar 

  52. M. Ya. Amusia, N.A. Cherepkov, and L.V. Chernysheva, Soviet Physics-JETP 33, 90 (1971).

    Google Scholar 

  53. G. Wendin and M. Ohno, Phys. Scr. 14, 148 (1976).

    CAS  Google Scholar 

  54. C. Froese-Fischer, Int. J. Quant. Chem. S8, 5 (1973).

    Google Scholar 

  55. O.R. Platas and H.F. Schaefer III, Phys. Rev. A4, 33 (1971).

    Google Scholar 

  56. H.J. Silverstone and O. Sinanoglu, J. Chem. Phys. 44, 3608 (1966).

    CAS  Google Scholar 

  57. D.R. Beck and C.A. Nicolaides, Int. J. Quant. Chem. S8, 17 (1974).

    Google Scholar 

  58. D.R. Beck and C.A. Nicolaides, Int. J. Quant. Chem. S10, 119 (1976).

    Google Scholar 

  59. A.W. Weiss, Phys. Rev. A9, 1524 (1974).

    Google Scholar 

  60. D.R. Beck and C.A. Nicolaides, the first paper by these authors appearing in this volume. Hereafter, Paper I.

    Google Scholar 

  61. E.J. McGuire, Phys. Rev. A9, 1840 (1974).

    Google Scholar 

  62. U. Fano, Phys. Rev. 124, 1866 (1961).

    CAS  Google Scholar 

  63. P.L. Altick and E. Neal Moore, Phys. Rev. 147, 59 (1966) and this volume.

    CAS  Google Scholar 

  64. Y. Komninos, D.R. Beck, and C.A. Nicolaides, unpublished (1978).

    Google Scholar 

  65. R.F. Bacher, Phys. Rev. 43, 264 (1933).

    CAS  Google Scholar 

  66. R.N. Zare, J. Chem. Phys. 45, 1966 (1966).

    CAS  Google Scholar 

  67. P.S. Bagus, A.J. Freeman, and F. Sasaki, Phys. Rev. Lett. 30, 850 (1973).

    CAS  Google Scholar 

  68. O. Sinanoğlu, Proc. Roy. Soc. A260, 379 (1961).

    Google Scholar 

  69. I. Öksüz and O. Sinanoğlu, Phys. Rev. 181, 54 (1969).

    Google Scholar 

  70. W.E. Lamb, Jr. and R.C. Retherford, Phys. Rev. 72, 241 (1947).

    CAS  Google Scholar 

  71. H.A. Bethe, Phys. Rev. 72, 339 (1947).

    CAS  Google Scholar 

  72. P.J. Mohr in Beam Foil Spectroscopy Volume I, edited by I. Sellin and D.J. Pegg, Plenum Press, 1976.

    Google Scholar 

  73. G.W. Erickson, Phys. Rev. Lett. 27, 780 (1971).

    CAS  Google Scholar 

  74. B.E. Lautrup, A. Petermann, and E. de Rafael, Phys. Repts. 3, 193 (1972).

    Google Scholar 

  75. G.W. Erickson and O.R. Yennie, Ann. Phys. (N.Y.) 35, 271 (1965).

    Google Scholar 

  76. A.M. Desiderio and W.R. Johnson, Phys. Rev. A3, 1267 (1971).

    Google Scholar 

  77. G.E. Brown, J.S. Langer, and G.W. Schaefer, Proc. Roy. Soc. A251, 92 (1959)

    Google Scholar 

  78. G.E. Brown and D.F. Mayers, Proc. Roy. Soc. A251, 105 (1959).

    Google Scholar 

  79. C.A. Nicolaides, Chem. Phys. Letts. 19, 69 (1973).

    CAS  Google Scholar 

  80. D.R. Beck and C.A. Nicolaides, Phys. Fenn. 9S, 244 (1974).

    Google Scholar 

  81. D.R. Beck and C.A. Nicolaides, J. Elect. Spect. 8, 249 (1976).

    CAS  Google Scholar 

  82. S. Bashkin and J. O. Stoner, Atomic Energy Levels and Grotrian Diagrams Volume 1, North-Holland, 1975.

    Google Scholar 

  83. T.D. Thomas and R.W. Shaw, Jr., J. Electr. Spectrs. 8, 45 (1976).

    Google Scholar 

  84. H. Hillig, B. Cleff, W. Mehlhorn, and W. Schmitz, Z. Physik 268, 225 (1974).

    CAS  Google Scholar 

  85. C.E. Moore, Atomic Energy Levels, Volume 1, National Bureau of Standards, U.S. GPO (1949).

    Google Scholar 

  86. N.G. Krishnan, W.N. Delgass, and W.D. Robertson, J. Phys. F 7, 2623 (1977).

    CAS  Google Scholar 

  87. H. Peterson, K. Radier, B. Sonntag and R. Haensel, J. Phys. B8, 31 (1975).

    Google Scholar 

  88. D.R. Beck, J. Chem. Phys. 51, 2171 (1969).

    CAS  Google Scholar 

  89. D.R. Beck and H. Odabasi, Ann. Phys. (N.Y.) 67, 274 (1971).

    CAS  Google Scholar 

  90. L.N. Ivanov, E.P. Ivanova and U.I. Safronova, J. Quant. Spectrsc. Rad. Trans. 15, 553 (1975).

    CAS  Google Scholar 

  91. W.R. Johnson and C.D. Lin, Phys. Rev. 14A, 565 (1976).

    Google Scholar 

  92. I.P. Grant, D.F. Mayers, and N.C. Pyper, J. Phys. B 9, 2777 (1976).

    CAS  Google Scholar 

  93. B. Swirles, Proc. Roy. Soc. A152, 625 (1935).

    Google Scholar 

  94. An algorithm to do this has been completed.

    Google Scholar 

  95. Yong-Ki Kim, Phys. Rev. 154, 17 (1967).

    CAS  Google Scholar 

  96. e.g. American Institute of Physics Handbook, 3rd edition (1972).

    Google Scholar 

  97. K. Siegbahn, J. Elect. Spectr. 5, 3 (1974).

    CAS  Google Scholar 

  98. J.A. Bearden and A.F. Burr, Rev. Mod. Phys. 39, 125 (1967).

    CAS  Google Scholar 

  99. J.W. Gadzuk, J. Vac. Sci. Tech. 12, 289 (1975).

    CAS  Google Scholar 

  100. P.H. Citrin and D.R. Hamann, Chem. Phys. Lett. 22, 301 (1973).

    CAS  Google Scholar 

  101. L. Ley, SvP. Kowalczyk, F.R. McFeely, R.A. Pollak, and D.A. Shirley, Phys. Rev. B8, 2392 (1973).

    Google Scholar 

  102. R.E. Watson, M.L. Perlman and J.F. Herbst, Phys. Rev. B13, 2358 (1976).

    Google Scholar 

  103. U. Gelius, Phys. Scr. 9, 133 (1974).

    CAS  Google Scholar 

  104. D.A. Shirley, Chem. Phys. Letts. 17, 312 (1972).

    CAS  Google Scholar 

  105. J. Friedel, Phil. Mag. 43, 153 (1952)

    CAS  Google Scholar 

  106. J. Friedel, Adv. Phys. 3, 446 (1954).

    Google Scholar 

  107. C.A. Nicolaides and D.R. Beck, Chem. Phys. Letts. 27, 269 (1974).

    CAS  Google Scholar 

  108. R.M. Wilson, J. Chem. Phys. 60, 1692 (1974).

    CAS  Google Scholar 

  109. D. Firsht and R. McWeeny, Mol. Phys. 32, 1637 (1976).

    CAS  Google Scholar 

  110. A.B. Kunz, this volume.

    Google Scholar 

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Beck, D.R., Nicolaides, C.A. (1978). Theory of One Electron Binding Energies Including Correlation, Relativistic and Radiative Effects: Application to Free Atoms and Metals. In: Nicolaides, C.A., Beck, D.R. (eds) Excited States in Quantum Chemistry. NATO Advanced Study Institutes Series, vol 46. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9902-2_12

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  • DOI: https://doi.org/10.1007/978-94-009-9902-2_12

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