Hi Tony
This is a very interesting thread. Here is my input from an analytical point of view.
Perhaps so. I don't actually know; I'm just speculating based on what I've learned so far. Loudmouth said that the nucleus determines not only the number of electrons but their excited states, too. Perhaps the number of neutrons directly affects these states, in some way?
I have never really thought about this too hard until now but my conclusion is that the number of neutrons doesn't have a measurable (if any) effect on the wavelength of the photons emited by excited isotopes of the same element.
In spectrometry, these wavelengths are used precisely to identify elements within a compound but they are unable to differentiate between different isotopes of any given element.
It is possible that there may be an extremely small difference but it would most likely be lost in the noise of the system. The problem is that atoms in an excited state are far more energetic than those in an unexcited state. This means that the individual movement (brownian motion) of the atoms will always result in a slight spread in the emission spectra of each isotope (possibly due to red and blue shift doppler effects). The spread is extremely narrow but does make spectral lines a little fuzzy around the edges. In short there is no way to resolve the spectra tightly enough to distinguish any difference between isotopes of the same element.
PY