An exact calculation of hydrogenic radial integrals and oscillator strengths, for principal quantum numbers up to N equal to about 1000

Astronomy and Astrophysics – Astrophysics

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Angular Momentum, Dipole Moments, H Ii Regions, Oscillator Strengths, Quantum Numbers, Rydberg Series, Atomic Spectra, Balmer Series, Line Spectra, Lyman Spectra, Paschen Series, Atomic Data, Line Broadening, H Ii Regions: Radio Recombination Lines

Scientific paper

We present a simple method for calculating easily and accurately the Gordon formula. Exact values obtained for transitions between very high Rydberg states have allowed a check on the accuracy of approximate expressions derived from quasi-classical theory. The dependence of the dipole radial integral on angular momenta is investigated in detail. Simple formulae for the most important transitions in the Lyman, Balmer, Paschen, ... series are given.

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