Table of Contents
ISRN Inorganic Chemistry
Volume 2013 (2013), Article ID 689040, 10 pages
http://dx.doi.org/10.1155/2013/689040
Research Article

Relativistic Corrections for Calculating Ionization Energies of One- to Five-Electron Isoelectronic Atomic Ions

School of Biological and Chemical Sciences, Birkbeck College, University of London, Malet Street, London WC1E 7HX, UK

Received 20 August 2012; Accepted 1 October 2012

Academic Editors: A. M. Fonseca, A. Karadag, and Z. Wu

Copyright © 2013 Peter F. Lang and Barry C. Smith. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. P. A. M. Dirac, Principles of Quantum Mechanics, Chapter 5, Oxford University Press, Oxford, UK, 1930.
  2. W. E. Lamb and R. C. Retherford, “Fine structure of the hydrogen atom by a microwave method,” Physical Review, vol. 72, no. 3, pp. 241–243, 1947. View at Publisher · View at Google Scholar · View at Scopus
  3. W. E. Lamb and R. C. Retherford, “Fine structure of the hydrogen atom. Part I,” Physical Review, vol. 79, no. 4, pp. 549–572, 1950. View at Publisher · View at Google Scholar · View at Scopus
  4. W. E. Lamb and R. C. Retherford, “Fine structure of the hydrogen atom. Part II,” Physical Review, vol. 81, no. 2, pp. 222–232, 1951. View at Publisher · View at Google Scholar · View at Scopus
  5. J. D. Garcia and J. E. Mack, “Energy level and line tables for one-electron atomic spectra,” Journal of the Optical Society of America, vol. 55, no. 6, pp. 654–676, 1965. View at Publisher · View at Google Scholar
  6. J. Midtdal and K. Aashamar, “Perturbation theory expansions through 20th order of mass polarization correction, relativistic effects and Lamb shift of the two-electron system (1s)2,” Physica Norvegica, vol. 2, pp. 99–108, 1967. View at Google Scholar
  7. W. R. Johnson and G. Soff, “The lamb shift in hydrogen-like atoms, 1 ≤ Z ≤ 110,” Atomic Data and Nuclear Data Tables, vol. 33, no. 3, pp. 405–446, 1985. View at Google Scholar · View at Scopus
  8. G. W. Drake, “Theoretical energies for the n=1 and 2 states of the helium isoelectronic sequence up to Z=100,” Canadian Journal of Physics, vol. 66, pp. 586–611, 1988. View at Publisher · View at Google Scholar
  9. P. F. Lang and B. C. Smith, “Ionisation potentials of one-electron atoms,” Inorganic and Nuclear Chemistry Letters, vol. 17, pp. 27–. 29, 1981. View at Publisher · View at Google Scholar
  10. A. M. E. Sabir, P. F. Lang, and B. C. Smith, “Ionisation energies of two-electron atoms,” Journal of the Chemical Society, vol. 80, pp. 1089–1091, 1984. View at Publisher · View at Google Scholar
  11. P. F. Lang and B. C. Smith, “A simple formula to calculate the ionization energies of two-, three-, and four-electron atomic ions,” Naturwissenschaften, vol. 97, no. 7, pp. 689–696, 2010. View at Publisher · View at Google Scholar · View at Scopus
  12. C. E. Moore, Atomic Energy Levels, vol. 1, US Department of Commerce, Washington, DC, USA, 1949.
  13. C. E. Moore, Atomic Energy Levels, vol. 2, US Department of Commerce, Washington, DC, USA, 1952.
  14. C. E. Moore, Atomic Energy Levels, vol. 3, US Department of Commerce, Washington, DC, USA, 1958.
  15. C. E. Moore, Ionization Potentials and Ionization Limits Derived From the Analysis of Optical Spectra, NSRDS-NBS 34, US Department of Commerce, Washington, DC, USA, 1970.
  16. D. R. Lide, CRC Handbook of Chemistry and Physics, CRC, Boca Raton, Fla, USA, 89th edition, 2009.
  17. T. Andersen, H. K. Haugen, and H. J. Hotop, “Binding energies in atomic negative ions: III,” Journal of Physical and Chemical Reference Data, vol. 28, no. 1511, 1527 pages, 1999. View at Publisher · View at Google Scholar
  18. E. U. Condon and H. Odabasi, Atomic Structure, Chapter 1, CUP, New York, NY, USA, 1980.
  19. A. Sommerfeld, Atomic Structure and Spectral Lines, Chapter 2, Methuen, London, UK, 1934.
  20. W. G. V. Rosser, Relativity and High Energy Physics, Chapter 2, Methuen, London, UK, 1969.
  21. I. R. Williams and M. W. Williams, Basic Nuclear Physics, Chapter 2, Newnes, London, UK, 1962.
  22. M. Born, Atomic Physics, Chapter 3, Blackie, London, UK, 8th edition, 1969.
  23. P. F. Lang and B. C. Smith, “Ionic radii for group 1 and group 2 halide, hydride, fluoride, oxide, sulfide, selenide and telluride crystals,” Dalton Transactions, vol. 39, no. 33, pp. 7786–7791, 2010. View at Publisher · View at Google Scholar · View at Scopus
  24. J. E. Sansonetti and W. C. Martin, “Handbook of basic atomic spectroscopic data,” Journal of Physical and Chemical Reference Data, vol. 34, pp. 1559–1992, 2005. View at Publisher · View at Google Scholar
  25. J. E. Sansonetti, “Wavelengths, transition probabilities, and energy levels for the spectra of rubidium (RbI through RbVII),” Journal of Physical and Chemical Reference Data, vol. 35, pp. 301–421, 2006. View at Publisher · View at Google Scholar
  26. J. Sugar and A. Musgrove, “Energy levels of Zinc, Zn I through Zn ,” Journal of Physical and Chemical Reference Data, vol. 24, pp. 1803–1872, 1995. View at Publisher · View at Google Scholar
  27. T. Shirai, J. Sugar, and A. Musgrove, “Spectral data for highly ionized atoms: Ti, V, Cr, MN, Fe, Co, Ni, Cu, Kr, and Mo,” Journal of Physical and Chemical Reference Data, Monograph No. 8, 632 pages, 2000. View at Google Scholar
  28. W. Lotz, “Ionization potentials of atoms and ions from hydrogen to Zinc,” Journal of the Optical Society of America, vol. 57, pp. 873–880, 1967. View at Publisher · View at Google Scholar
  29. P. F. Lang and B. C. Smith, “Ionization energies of atoms and atomic ions,” Journal of Chemical Education, vol. 80, no. 8, pp. 938–946, 2003. View at Google Scholar · View at Scopus
  30. P. F. Lang and B. C. Smith, “Ionization energies of lanthanides,” Journal of Chemical Education, vol. 87, no. 8, pp. 875–881, 2010. View at Publisher · View at Google Scholar · View at Scopus