The next logical question is, why aren other fractional values of n allowed–for example, 3/2?
g = 2.π.3/2 = 3.π If n=3/2, a wave does not end where it originates. It effectively oscillates between the points π and 2.π. This is a wave function that moves (changes) in time, and therefore must radiate. All fractional values for n which do not have a 1 either in the numerator or the denominator share this feature. We can generalize this result to say that n can be described as n1/n2 where n1=1 or n2=1 The analysis above is slightly inaccurate with respect to the actual orbitsphere–it has been simplified for illustrative purposes. A one-dimensional line of force propagating along a great circle of the orbitsphere is actually deflected infinitesimally to one side or the other such that it does not quite “overlap itself” over time. Because these one-dimensional lines have no width, an infinitesimal shift in the z dimension does not materially alter the outcome. Given this new understanding of the nature of n, we are able to say that 1/n values produce stable solutions to the electron
