Recombination-line intensities for hydrogenic ions. I - Case B calculations for H I and He II

Mathematics – Probability

Scientific paper

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Helium, Hydrogen Ions, Infrared Spectroscopy, Ion Recombination, Line Spectra, Stellar Spectra, Collision Rates, Density Distribution, Electron Distribution, Ion Temperature, Ionic Collisions, Quantum Numbers

Scientific paper

The relative intensities of H I and He II recombination lines are calculated, including full collisional effects, for a considerably larger range of temperature, density and principal quantum numbers than before. Case B of Baker & Menzel (1938) is assumed, and tables of line opacities are also presented to enable the assumption of negligible optical depth in all but the Lyman series to be checked. Collisional excitation of the n = 3 levels from both n = 1 and n = 2 states is considered, and is found to invalidate Case B theory in some conditions which depend on electron density and the Lyman-α escape probability. The regimes of temperature and particle density for which Case B is valid are discussed. Newly calculated collision strengths for the n = 1, 2 and 3 states of He+ are tabulated.

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