All JournalsPhysics Magazine

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

A Note on Atomic Binding Energies

L. L. Foldy

  • Case Institute of Technology, Cleveland, Ohio

Phys. Rev. 83, 397 – Published 15 July, 1951

DOI: https://doi.org/10.1103/PhysRev.83.397

Abstract

By the use of Dickinson's recent calculations of the diamagnetic field for atoms based on Hartree calculations, and a theorem due to Feynman, an expression is obtained for the total binding energy of the electrons in an atom as a function of atomic number. The results are compared with predictions of the Fermi-Thomas statistical model. It is found that the binding energy for small Z varies as Z73 in accord with the statistical model but for high Z the dependence on Z becomes approximately Z125. The equation for the binding energies is estimated to be correct to 5 percent or better.

References (6)

  1. P. Gombas, Die Statistische Theorie des Atoms und ihre Anwendung (Springer-Verlag, Berlin, 1949) L. Brillouin, L'Atome de Thomas-Fermi (Hermann, Paris, 1934) E. U. Condon and G. H. Shortley, The Theory of Atomic Spectra (Cambridge University Press, London, 1935), p. 336
  2. G. Allard, J. phys. et radium 9, 225 (1948)
  3. W. C. Dickinson, Phys. Rev. 80, 563 (1950)
  4. Omitted endnote

  5. R. P. Feynman, Phys. Rev. 56, 340 (1939)
  6. Omitted endnote

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation