Effect of field theoretical corrections on X-ray spectra

  • T. V. Krishnan
  • Amar Nath Nigam


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.


Atomic Number Oscillator Strength Heavy Element Lamb Shift High Term 
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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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