Skip to main content

Part of the book series: Physics of Atoms and Molecules ((IAUT,volume 18))

  • 138 Accesses

Abstract

The discovery by the author(1) of a new ordering principle or extended symmetry in atomic physics (characterized by the quantum number k) in 1976 pertains to the excited-state energy spectra of atoms and ions consisting of a single valence electron outside a core of closed shells. The k ordering applies specifically to medium and heavy atoms and ions, i.e., those with atomic number Z ≧ 11 (Na), so that there is at least one filled p shell in the electron core of the atom or ion. The k-ordering symmetry thus discovered represents in a basic sense the opposite limiting case to the level ordering according to n (n degeneracy) of the hydrogen atom, which will be referred to as the H ordering.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References and Notes

  1. R. M. Sternheimer, Phys. Rev. A 15, 1817 (1977).

    Article  ADS  Google Scholar 

  2. R. M. Sternheimer, Phys. Rev. A 16, 459 (1977).

    Article  ADS  Google Scholar 

  3. R. M. Sternheimer, Phys. Rev. A 16, 1752 (1977).

    Article  ADS  Google Scholar 

  4. R. M. Sternheimer, Phys. Rev. A 19, 474 (1979).

    Article  ADS  Google Scholar 

  5. R. M. Sternheimer, Phys. Rev. A 20, 18 (1979).

    Article  ADS  Google Scholar 

  6. C. E. Moore, Atomic Energy Levels, Vols. I-III, Natl. Bur. Stand. (U.S.) Circular No. 467, Washington, D.C., U.S. Government Printing Office (1949–1958).

    Google Scholar 

  7. E. Madelung, Die Mathematischen Hilfsmittel des Physikers, p. 359; Springer-Verlag, Berlin, Appendix 15 (“Atombau”) of 3rd edition (1936).

    Google Scholar 

  8. S. A. Goudsmit and P. I. Richards, Proc. Natl. Acad. Sci. USA 51, 664 (1964).

    Article  ADS  Google Scholar 

  9. J. B. Mann, Los Alamos Scientific Laboratory Report LA-UR-73-1442 (1973).

    Google Scholar 

  10. See, for example, E. U. Condon and G. H. Shortley, The Theory of Atomic Spectra, p. 337; Cambridge University Press, London (1935).

    Google Scholar 

  11. R. M. Sternheimer, J. E. Rodgers, and T. P. Das, Phys. Rev. A 17, 505 (1978).

    Article  ADS  Google Scholar 

  12. T. F. Gallagher, W. E. Cooke, S. A. Edelstein, and R. M. Hill, Phys. Rev. A 16,273 (1977).

    Article  ADS  Google Scholar 

  13. H. M. Foley and R. M. Sternheimer, Phys. Lett. 55A, 276 (1976).

    ADS  Google Scholar 

  14. T. Lee, J. E. Rodgers, T. P. Das, and R. M. Sternheimer, Phys. Rev. A 14, 51 (1976).

    Article  ADS  Google Scholar 

  15. L. Holmgren, I. Lindgren, J. Morrison, and A.-M. Martensson, Z. Phys. A276, 179 (1976).

    ADS  Google Scholar 

  16. E. Luc-Koenig, Phys. Rev. A 13, 2114 (1976).

    Article  ADS  Google Scholar 

  17. W. Persson and K. Pira, Phys. Lett. 66A, 22 (1978).

    ADS  Google Scholar 

  18. T. F. Gallagher and W. E. Cooke, Phys. Rev. A 18, 2510 (1978).

    Article  ADS  Google Scholar 

  19. J. Farley and R. Gupta, Phys. Rev. A 15, 1952 (1977).

    Article  ADS  Google Scholar 

  20. G. L. Epstein and J. Reader, J. Opt. Soc. Am. 65, 310 (1975).

    Article  ADS  Google Scholar 

  21. C. C. Kiess, J. Res. Natl. Bur. Stand. 56, 167 (1956).

    Article  Google Scholar 

  22. N. P. Romanov and A. R. Striganov, Opt. Spectrosc 27, 8 (1969).

    ADS  Google Scholar 

  23. K. B. S. Eriksson and I. Wenaker, Phys. Scr 1, 21 (1970).

    Article  ADS  Google Scholar 

  24. D. Popescu, M. L. Pascu, C. B. Collins, B. W Johnson, and I. Popescu, Phys. Rev. A 8, 1666 (1973).

    Article  ADS  Google Scholar 

  25. J. Sugar and V. Kaufman, J. Opt. Soc. Am. 55, 1283 (1965).

    Article  ADS  Google Scholar 

  26. R. M. Sternheimer, Phys. Rev. 80, 102 (1950); 84, 244 (1951); 86, 316 (1952); 95, 736 (1954); 105, 158 (1957); H. M. Foley, R. M. Sternheimer, and D. Tycko, Phys. Rev. 93, 734 (1954); R. M. Sternheimer and H. M. Foley, Phys. Rev. 92, 1460 (1953); 102, 731 (1956); T. P. Das and R. Bersohn, Phys. Rev. 102, 733 (1956). For the work carried out after 1957, we note that a bibliography of the articles on the Sternheimer shielding and antishielding factors R, and RH, which is essentially complete up to 1966 is given in the author’s paper: R. M. Sternheimer, Phys. Rev. 146, 140 (1966). A more extensive bibliography is given in the list of references (up to 1976) in the Ph.D. thesis of K. D. Sen, entitled “Hartree-Fock-Slater Wave Functions and Sternheimer Shielding-Anti- shielding Factors in Atoms and Ions” (pp. 158–170), submitted to the Department of Chemistry of the Indian Institute of Technology, Kanpur, India, in August 1976. We note that relativistic calculations of have been carried out by F. D. eiock and W. R. Johnson, Phys. Rev. 187, 39 (1969).

    Google Scholar 

  27. H. M. Foley, Phys. Rev. A 19, 2134 (1979).

    Article  ADS  Google Scholar 

  28. H. Eyring, D. Henderson, B. J. Stover, and E. M. Eyring, Statistical Mechanics and Dynamics, p. 295; Wiley, New York (1964).

    MATH  Google Scholar 

  29. M. J. Seaton, C. R. Acad. Sci. 240, 1317 (1955).

    Google Scholar 

  30. M. Gell-Mann, Phys. Rev. 125, 1067 (1962);

    Article  MathSciNet  ADS  MATH  Google Scholar 

  31. Y. Ne’eman, Nucl. Phys. 26, 222 (1961).

    Article  MathSciNet  Google Scholar 

  32. R. M. Sternheimer, Phys. Rev. 96, 951 (1954);

    Article  ADS  MATH  Google Scholar 

  33. R. M. Sternheimer, Phys. Rev. 107, 1565 (1957);

    Article  ADS  Google Scholar 

  34. R. M. Sternheimer, Phys. Rev. 115, 1198 (1959);

    Article  ADS  Google Scholar 

  35. R. M. Sternheimer, Phys. Rev. 127, 1220 (1962);

    Article  ADS  Google Scholar 

  36. R. M. Sternheimer, Phys. Rev. 183, 112 (1969);

    Article  ADS  Google Scholar 

  37. R. M. Sternheimer, Phys. Rev. A 1, 321 (1970).

    Article  ADS  Google Scholar 

  38. R. M. Sternheimer, Phys. Rev. 78, 235 (1950).

    Article  ADS  Google Scholar 

  39. It should be noted that the present chapter is a revised and enlarged version of an earlier review article on the k ordering, published by the New York Academy of Sciences as part of ,”A Festschrift for Maurice Goldhaber,“ Transactions of the New York Academy of Sciences, Series II, 40, 190–210 (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer Science+Business Media New York

About this chapter

Cite this chapter

Sternheimer, R.M. (1984). The k Ordering of Atomic Structure. In: Beyer, H.J., Kleinpoppen, H. (eds) Progress in Atomic Spectroscopy Part C. Physics of Atoms and Molecules, vol 18. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2647-2_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-2647-2_1

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-9651-5

  • Online ISBN: 978-1-4613-2647-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics