Electrostatic Interactions in Complex Electron Configurations

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Abstract
Simplified expressions for the matrix elements of electrostatic interactions both within and between several types of complex electron configurations have been obtained by the application of angular‐momenta recoupling techniques. The use of these recoupling techniques avoids the usual extensive calculation of the sums of products of the matrix elements of tensors of the types Vκk and Uk. The derived expressions involve the sums of products of coefficients of fractional parentage and n − j symbols, and as such, are amenable to machine computation.

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