Abstract

The consideration of the phases of the fractional-parentage coefficients allows the extension of the matrix methods to configurations with more than two equivalent electrons. Tables are given for the parentages of the terms of ${p}^{n}$ and ${d}^{n}$. Applications are made to the spin-orbit interaction of the ${d}^{n}$ terms and to the electrostatic interaction between the configurations ${d}^{n}$, ${d}^{n\ensuremath{-}1}s$, and ${d}^{n\ensuremath{-}2}{s}^{2}$. Errata in Part II are indicated.

Keywords

PhysicsSpectral lineElectronExtension (predicate logic)Orbit (dynamics)Matrix (chemical analysis)Atomic physicsQuantum mechanicsTheoretical physicsMathematical physicsMaterials scienceComputer science

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Theory of Complex Spectra. IV

The calculation of the coefficients of fractional parentage and of the energy matrices for the configurations ${f}^{n}$ is simplified very much by the use of the theory of group...

1949 Physical Review 1038 citations

Publication Info

Year
1943
Type
article
Volume
63
Issue
9-10
Pages
367-382
Citations
1134
Access
Closed

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Giulio Racah (1943). Theory of Complex Spectra. III. Physical Review , 63 (9-10) , 367-382. https://doi.org/10.1103/physrev.63.367

Identifiers

DOI
10.1103/physrev.63.367