Recent Advances in the Interpretation of Complex Atomic Spectra

  • Zipora B. Goldschmidt

Abstract

The conventional energy-level calculations of atomic spectra have usually been carried out only to first order perturbation theory. In this approximation, energy matrices including (only) the electrostatic interaction \(\begin{array}{*{20}{c}}{G = \sum } \\{i > j}\end{array}\quad\frac{{{e^2}}}{{{r_{ij}}}}\) and the spin-orbit interaction\(F = \begin{array}{*{20}{c}}\sum \\i\end{array}{\zeta _i}\;({\ell _i}\cdot {s_i})\) within a single configuration, or a very small number of adjacent configurations, were constructed and diagonalized. This led to a rather poor agreement between calculated and observed energy levels, even when all the radial integrals Fk(naa,nbb), Gk(naa,nbb), Rk(naanbb,nccndd) and ζnℓ were considered as adjustable parameters.

Keywords

Sugar Stein Illy 

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Copyright information

© Plenum Press, New York 1973

Authors and Affiliations

  • Zipora B. Goldschmidt
    • 1
    • 2
  1. 1.National Bureau of StandardsUSA
  2. 2.Racah Institute of PhysicsThe Hebrew UniversityJerusalemIsrael

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