Atomic Terms for Equivalent Electrons

Publisher Website
Google Scholar
Abstract
The problem of determining the number of times, b(l N L S), a given term occurs in an atomic configuration of the form (nl)N is considered by the methods of group theory. The b are shown to be related to the classical problem of partitioning numbers. Several expressions relating b to other, simpler partitions are obtained, which result in a recursion relationship for the b. A table for b(4 N L S) is included to complement existing tables for the range 1 ≤ l ≤ 3, which are found in several places in the literature.