In the plot f(x) = ((x)^(1/3)-(2)^(1/3))/((2*x)^(1/3))-log((x/2)^(1/3)) and its derivative f(x),
the points of interest is beyond x=1, the gradient of f(x) tends towards zero. The corresponding energy levels piles up with higher values of x, ie f(x+1)−f(x) narrows but only gradually compared to Rydberg formula.
No, ionization has nothing to do with particles in collision, coalescence and separation.
