AtomicgElectrons

A scheme is presented for giving a complete classification of the states of the atomic configurations $g^N$. Repeated terms are separated by diagonalizing an operator $e$ that has, as its analog in the $f$ shell, the operator that classifies states according to the group $G_2$. Properties of $e$ that are typically group-theoretical in character are noted. Tables of fractional parentage coefficients and the energies of the terms of maximum multiplicity are given.