If you've obtained a graph that is not linear in any of the
cases above, then perhaps your model of the energy levels needs
modification. Follow this link to find
We can chose an arbitrary value for E = 0 depending on where
we place the 'n = 1' energy state. If we chose E = 0 to be the
place where the electron is no longer bound by the atom, we would
need to place it where energy change is minimal. Theoretical analysis
tells us that the hydrogen atom can have an infinite amount of
states. If we set n = infinity to be where the electron is free.
So using our equation from before
where m is our slope (13.6) and b is our intercept, now b goes
to zero. We will find another reason to eliminate the y-intercept
when we talk about ionization.
Repeat the procedure and set up our new parameters.
here to return to the spectroscopy program.
here to return to Davidson College
Now that you have run the program again, find the graph that reflects
your current diagram.
By adjusting the values of your energy level you should have
a linear equation which is similar to:
Where n = 1, 2, 3 ..., and E is energy. When you work with
experimental values the regression you should get close to 13.6,
but it still may not be exactly the same. In fact, the constant
itself is an approximation which is constantly being updated as
physicists find out more information.
For the most up-to-date, most accurate value see Fundamental
Physical Constants - NIST and search for "Rydberg constant
(also known as R) times hc in eV".
Now that we have looked at the spectra through programs, analyzed
the graphs from these programs we can start talking about how
the atom is making these transitions.