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Effect of field theoretical corrections on X-ray spectra

  • T. V. Krishnan
  • Amar Nath Nigam
Article

Abstract

The wavelengths of\(K_{\alpha _1 } , K_{\alpha _2 } , K_{\beta _1 } , K_{\beta _2 } , K_{\beta _2 } I and K_{\beta _2 } II\) lines of heavy elements of atomic number 70–92 and the associated energy levels, K, LII, LIII, MII, MIII, NII and NIII have been calculated using a modified form of the relativistic energy formula of Sommerfeld, incorporating in it both the total and internal screening constants in a closed form. All the field theoretical corrections in the second and the fourth order as well as the finite nuclear size correction have been included.

The relative intensities\(K_{\alpha _2 } /K_{\alpha _1 } , K_{\beta _2 } / K_{\beta _1 } , and K_{\beta _2 } II/K_{\beta _2 } I\) have been calculated with relativistic wavefunctions. In addition to the retradation and screening, field theoretical corrections have also been used. A logical extension of the one electron-model with application of the field theoretical corrections improves the calculated results of not only the energy levels but also the relative intensities of X-ray lines.

Keywords

Atomic Number Oscillator Strength Heavy Element Lamb Shift High Term 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Robiscoe, R. T.Cargese Lectures in Physics, Ed. M. Lévy, 1968,2, 44.Google Scholar
  2. 2.
    Blokhin, M. A. ..The Physics of X-rays, U.S.A.E.C., Translation, 1957, p. 4502.Google Scholar
  3. 3.
    Krishnan, T. V. and Nigam, A. N.Proc. Ind. Acad. Sci., 1964,60 A, 75.Google Scholar
  4. 3a.
    —..Curr. Sci., 1967,36, 260.Google Scholar
  5. 4.
    Bethe, H. A. .. “Quantum Mechanics of Atomic structure,” Int. Symposium on Physics of One and Two-Electron Atoms, Munich, Ed. by Bopp, F. and Kleinpoppen, H., 1968, p. 56.Google Scholar
  6. 5.
    Pauling, L. and Goudsmit, S...Structure of Line Spectra, Ch. X, McGraw-Hill, New York, 1930.zbMATHGoogle Scholar
  7. 6.
    Series, G. W. ..Spectrum of Atomic Hydrogen, Oxford University Press, 1957.Google Scholar
  8. 7.
    Sommerfeld, A. ..Atomic Structure and Spectral Lines, English Translation by Brose, H. L., Ch. IV, Methuen, London, 1934, 1.Google Scholar
  9. 8.
    Slater, J. C...Phys. Rev., 1930,36, 57.CrossRefGoogle Scholar
  10. 9.
    Sandström, A. E... “Experimental methods of X-ray spectroscopy,”Handbuch der Physik, XXX, Springer-Verlag, Berlin (1957).Google Scholar
  11. 10.
    Bearden, J. A...Rev. Mod. Phys., 1967,39, 78.CrossRefGoogle Scholar
  12. 11.
    — and Burr. A. F.Ibid., 1967,39, 125.CrossRefGoogle Scholar
  13. 12.
    Thesis Submitted to the University of Bombay, 1971.Google Scholar
  14. 13.
    Barrett, R. C., Brodsky, S. J., Erickson, G. W. and Goldhaber, M. H.Phys. Rev., 1968,166, 1589.CrossRefGoogle Scholar
  15. 14.
    Taylor, B. N., Parker, W. H. and Langenberg, D. N.Rev. Mod. Phys., 1969,41, 375.CrossRefGoogle Scholar
  16. 15.
    Mohr, C. B. O...Advances in Atomic and Molecular Physics, 1968,4, 224.Google Scholar
  17. 16.
    Massey, H. S. W. and Burhop, E. H. S.Proc. Camb. Phil. Soc., 1936,32, 461.CrossRefGoogle Scholar
  18. 17.
    Laskar, W...J. Physique Rad., 1955,16, 644.CrossRefGoogle Scholar
  19. 18.
    Asaad, W. N...Proc. Roy. Soc., (London), 1959,249 A, 555.Google Scholar
  20. 19a.
    Payne, W. B. ..Doctoral Thesis, Louisiana State University, 1955.Google Scholar
  21. 19b.
    — and Levinger, J. S...Phys. Rev., 1956,101, 1020.zbMATHCrossRefGoogle Scholar
  22. 20.
    Taylor, G. R. and Payne, W.B.Ibid., 1960,118, 1549.CrossRefGoogle Scholar
  23. 21.
    Babushkin, F. A...Eng. Trans. Opt. Spectry. (U.S.S.R.), 1962,13, 77.Google Scholar
  24. 21a.
    —..Acta Physica Polon., 1964,25, 749.Google Scholar
  25. 21b.
    —..Acad. Nauk. SSSR, Zur. Opt. Spek., 1965,19, 1.Google Scholar
  26. 21c.
    —..Zur. Exp. and Teor. Phyz., 1965;48, 10.Google Scholar
  27. 21d.
    —..Acta Physica Polon., 1965,28, 427.Google Scholar
  28. 21e.
    —..Ibid., 1967,31, 459.Google Scholar
  29. 22.
    Scofield. J. H...Phys. Rev., 1969,179, 9.CrossRefGoogle Scholar
  30. 23.
    Krishnan, T. V. and Nigam, A. N.Proc. Ind. Acad. Sci., 1969,70, 189.Google Scholar
  31. 24.
    Beckman, O...Arkiv för Fysik, 1955,9, 495.Google Scholar
  32. 25.
    Nelson, G. C. and Saunders, B. G.Phys. Rev., 1969,188, 108.CrossRefGoogle Scholar
  33. 26.
    Salem, S. I., Saunders, B. G. and Nelson, G. C.Phys. Rev. A., Third series, 1970,1, 1563.CrossRefGoogle Scholar
  34. 27.
    Burns, G...J. Chem. Phys., 1964,41, 1521.CrossRefGoogle Scholar

Copyright information

© Indian Academy of Sciences 1973

Authors and Affiliations

  • T. V. Krishnan
    • 1
  • Amar Nath Nigam
    • 2
  1. 1.Spectroscopy DivisionBhabha Atomic Research CentreTrombay, Bombay
  2. 2.Physics DepartmentH. B. Technological InstituteKanpur

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