Parameters

Upper state principal quantum number n :
Lower state principal quantum number n' :
Nuclear charge (z= 1 for hydrogen, 2 for He+,etc.) :
Nuclear mass M in atomic mass units :
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An exact expression for the dipole radial integral of hydrogen has been given by Gordon [Ann. Phys. 2 (1929) 1031]. It contains two hypergeometric functions F(a,b;c;x), which are difficult to calculate directly, when the (negative) integers a, are large, as in the case of high Rydberg states of hydrogenic ions. We have derived a simple method [D. Hoang-Binh, Astron.Astrophys. 238 (1990) 449], using a recurrence relation to calculate exactly F, starting from two initial values, which are very easy to compute. We present here a numerical code using this method, to compute exact hydrogenic oscillator strengths, Einstein coefficients, and lifetimes.

To get more informations, please read the complete documentation or contact Dy HOANG BINH