Friday, July 3, 2015

Jumping About \(n\)

What if the six well defined and named spectra line series of hydrogen are actually the spectra of the six basic particles, \(e^{-}\), \(p^{+}\), \(g^{-}\), \(g^{+}\), \(T^{-}\) and \(T^{+}\),

Lyman series

Balmer series

Paschen series (Bohr series)

Brackett series

Pfund series

Humphreys series

where the one jump between two discrete values of \(\psi\) of a particle give raise to one spectra line.  All lines due to one particle constitute a spectra series.  Rydberg formula would still apply but to \(\psi\) of the a particle.

The Paschen series in the infra red band is due to a temperature particle from which we derive temperature information from thermal imaging.

The Balmer series in the visible range is due to a particle that gives us colors for all objects.  And this particle, if removed will result in the blackest colored object possible.

There is no well defined Further Series as there is no 7th particle in the model developed here.

I know what electrons jumping up and down \(n\) is about.  It could be that the electron in the case of hydrogen is actually completely disassociated from the nucleus, ie. ionized.

From the Lyman series,

\(E_{21}=\cfrac{hc}{121.57}\)

\(E_{41}=\cfrac{hc}{97.254}\)

But from the Balmer series,

\(E_{42}=\cfrac{hc}{486.1}\)

If these lines are of the same hydrogen/electron system, then

\(E_{42}=E_{41}-E_{21}\)

which is not the case,

\(\cfrac{hc}{486.1}\ne \cfrac{hc}{97.254}-\cfrac{hc}{121.57}\)

\(E_{42}\ne E_{41}-E_{21}\)

Data massage alert!

What happened!  Individual series fit into Rydberg formula but the series are not of one system, \(n=2\), \(n=4\) in the Lyman series are not the same \(n=2\), \(n=4\) of the Balmer series.