Abstract
The use of intrinsic states to resolve multiplicity difficulties in nuclear shell theory has been extended to the atomic case. If Slater determinantal product states are cast in the role of intrinsic states, it is often possible to produce final states that approximate to the physical states better than those determined by the group-theoretical procedures of Racah. The standard multiplicity separations for electrons of various azimuthal quantum numbersl can also be reproduced in many cases by a judicious choice of an intrinsic state. The usefulness of the method is limited principally by the fact that orthogonal intrinsic states do not necessarily yield orthogonal final states.
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