Branching ratios for excitation to highly excited levels or ionization of complex ions

Mathematics

Scientific paper

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Atomic Energy Levels, High Temperature Plasmas, Ionization, Ions, Angular Momentum, Branching (Mathematics), Clebsch-Gordan Coefficients, Cross Sections, Electron Orbitals, Excitation, Quantum Numbers

Scientific paper

Aspects of excitation to highly excited levels and ionization of the highly charged ions that exist in high-temperature plasmas such as those occurring in fusion energy research, some areas of astrophysical research, and in research to produce X-ray lasers are discussed. The general equations determining the collision strengths and cross sections for highly charged ions are summarized and applied to cases of increasing complexity, beginning with hydrogenic ions and then going to ions with a single active electron outside filled subshells. Excitation to a highly excited level or the continuum from a subshell initially containing any number of electrons is considered. The cases of an additional, partially filled subshell of inactive or spectator electrons and of three partially filled subshells of inactive electrons are addressed. From the results, it is seen how to generalize to any number of inactive closed subshells and partially filled subshells in addition to the active subshells.

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