Additional symmetry properties of atomic states with one and two open shells

Abstract

Additional symmetry properties of the ground state of an atom and quantities related with it, of the configuration with two open shells with the same orbital quantum number, and of the maximal Auger amplitudes are considered. Algebraic energy expressions for terms of the highest multiplicity and terms related with them as well as for the ground and highest levels are presented. Classification of states for the n₁l^N1n₂l^N2 configuration according to their parentage in the isoelectronic sequence of configurations and the properties of such a basis are considered. Reformulation of this basis using the isospin formalism is discussed. Existence of selection rules for the maximal Auger amplitudes is indicated.