Relativistic and magnetic spin corrections to the ionization energy of He and O⁶⁺ are given. The magnetic spin interaction given by Sessler and Foley has been derived by a careful evaluation of the Breit operator. The relativistic corrections obtained by reduction of the Dirac equation differ from some previous expressions. With all known corrections taken into account, there remains a discrepancy with experiment of about 30 cm^-1 in the case of He. Within the rather large experimental and theoretical uncertainties, there appears to be no residual discrepancy in the case of O⁶⁺.
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Sucher et al. (1954) studied this question.
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