The Theory of Atomic Structure and Spectra
Los Alamos Series in Basic and Applied Sciences University of California Press, Ltd., Berkeley, (1981)

This is a comprehensive book on the topic of atomic structure calculations of high accuracy. Topics include: experimental background and basic concepts; angular momentum properties of wave functions; one-electron atoms; complex atoms --- the vector model; the $3n-j$ symbols; configuration-average energies; radial wave equations; radial wave functions and radial integrals; coupled antisymmetric basis functions; energy level structure (simple configurations); the algebra of irreducible tensor operators; energy level structure (complex configurations); configuration interaction; radiative transitions (E1); radiative transitions (M1 and E2); numerical calculation of energy levels and spectra; external fields and nuclear effects; continuum states --- ionisation and recombination; highly ionised atoms; rare-earth and transition elements and statistical distributions. Appendices on physical constants; units and conversion factors; conversion between vacuum and air wavelengths; $3-j$ symbols; $6-j$ symbols; one-electron and total-atom energies; basis functions; matrix elements and Racah algebra; matrix elements of spherical harmonics; coefficients of fractional parentage; $U^(k)$, $V^(kl)$ and relative line strengths within an $LS$ multiplet are also included.
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