You have seen, through both of the spectrography programs,
that electrons move from one energy state to another. This is
what allows one to "see" pieces of the Hydrogen light
that is emitted. You have also seen that the energy given off
comes with certain "allowable" energies. Call the allowable
energies by the letter "n". The letter "n"
will represent an integer given to each energy level of the accepted
model, which allows one to find a relationship between energy
levels and energy.
Label your energy levels in order, starting with n=1 at the
lowest energy level. Just looking at the numbers, you can see
the higher the n, the higher (closer to zero) to energy. To see
a more precise relationship try to graph the following plots.
The following plots should give you a variety of patterns (lines
and curves). A direct relationship is noted by a linear graph.
With the accepted model, one of the following plots should give
you a linear graph.
To find the linear graph, use the linear regression program
made by Wolfgang Christian on the Davidson College Website.
If you don't have Java capabilities, or are having trouble
with their website, here are the following plots of a sample of
similar energy and n values.
For non Java Browsers: (Plots here)
Looking at these graphs, and your own graphs, answer some questions
Your y-intercept is probably different from the one we show in
our sample data. This difference arises because we have only considered
the differences between energy levels so far. The information
that we get from the light energy enables us to use one energy
level where ever we want and construct the model of all energy
levels relative to that initial energy level. You can determine
the energy level from which we are measuring all others by setting
n = infinity.
The next page will continue with further questions and analysis.