✦ LIBER ✦

FACTORIZATION OF THE MATRIX ELEMENTS OF THREE-ELECTRON OPERATORS USED IN CONFIGURATION-INTERACTION STUDIES OF THE ATOMICfSHELL

✍ Scribed by B.R. JUDD; EDWIN LO

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 774 KB
Volume: 62
Category: Article
ISSN: 0092-640X
DOI: 10.1006/adnd.1996.0002

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✦ Synopsis

Single-electron excitations of the atomic f shell are usually taken into account in analyses of lanthanide and actinide spectra by including six three-electron scalar operators t i in the Hamiltonian. Their matrix elements have been factorized for all f N by using the Wigner-Eckart theorem applied to Racah's groups SO( 7) and G 2 . The two component parts, namely a reduced matrix element in G 2 and an isoscalar factor, are tabulated. This provides a compact representation of the values of the matrix elements and also enables unusual selection rules and proportionalities to be exposed.

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