Knowing that the particles are passing at velocity \(v\) in the Faraday Dark Space of a discharge tube,
it would be possible to flash X_ray through an aperture at an appropriate frequency, \(f\) to obtain a still scattering pattern of each type of particles, \(a_{\psi\,c}\), \(a_{\psi\,ne}\) and \(a_{\psi\,\pi}\).
Given some reference, their size (\(a_{\psi\,c}\), \(a_{\psi\,ne}\) and \(a_{\psi\,\pi}\)) can be determined.
At this point, although the argument for the existence of \(a_{\psi\,c}\) is plausible, particles need not have quantized sizes. Particle size need not be in integer multiples of \(a_{\psi\,c}\). The requirement,
\(a_{\psi}=n*a_{\psi\,c}\)
\(n=1,\,2,\,3...\)
need not be true.