Excited electronic states of atoms described by the model of oscillations in a chain system

We analyzed the numerical values of half-lifes of excited electronic states of the H, He and Li atom, as well as the [Li.sup.+] ion. By means of a fractal scaling model originally published by Muller in this journal, we interprete these half-lifes as proton resonance periods. On the logarithmic scale, the half-lifes were expressed by short continued fractions, where all numerators are Euler's number. From this representation it was concluded that the half-lifes are heavily located in nodes or sub-nodes of the spectrum of proton resonance periods.
1 Introduction The model of a chain of similar harmonic oscillators was proposed by Muller [1-3] as a phenomenological theory describing physical quantities as proton resonance oscillation modes. In the [...]