Thursday, September 29, 2016

Speculating About Spectra Series

From the post "Sizing Them Up" dated 13 Dec 2014,

aψ=19.34nmaψ=19.34nm

aψ=16.32nm

aψ=15.48nm

aψ=14.77nm

If,

aψ=aψc=19.34nm

aψ=aψc=16.32nm

aψ=aψc=15.48nm

aψ=aψc=14.77nm

in which case we have,

n.43π(aψc)3=43π(aψn)3

where 1n77 and

aψc=aψn=1

That is to say, n small particles of  radius aψc coalesce into a bigger particle of aψn.

aψn=3n.aψc

where n=1,2,3,..77

If each of this particle is responsible for a spectra line then, a spectra series due to one type of particle will line up nicely on a y=3n plot with a common scaling factor.  An the maximum number of stable lines due to stable particle, observable or otherwise is 77 or 78.  Unstable particles that grows beyond the plateau on the ψ vs r graph where ψ pinch off with decreasing force will also result in faint spectra line.

Just speculating.