Abstract
A method for the calculation of the energy levels of an atom in terms of the experimentally observed energy levels of ions of higher ionization is developed. This method can be applied to a system of nonequivalent electrons, as well as equivalent electrons. The notion of fractional parentage is extended to systems of nonequivalent electrons. Tables of fractional parentage coefficients are calculated for , , and configurations. Application is made by a least-squares calculation of the configuration of Ti ii in terms of the experimentally observed energies of the and configurations of Ti iii. As a result, the root-mean-square deviation of our calculated values from the experimental energies is reduced to ±249 .
- Received 11 May 1953
DOI:https://doi.org/10.1103/PhysRev.91.871
©1953 American Physical Society