Energy Level Diagrams

Our thoughts on the questions on the previous page.

2.  To emit a photon of light an electron in an atom must change its energy.  Thus it must move from one energy level to another.
Your answer will depend on the transition that you set up.  So, if you read the scale correctly, your answer will be correct.
As with the previous question, it depends on your arrange of energies.
We cannot determine your answer but we can tell you how to get it. 
Energy difference = (Initial energy in your transition) - (Final energy in the transition)
The final energy is the lower energy in the diagram -- the energy at the end of the point of the arrow.  The inital energy is the other end of the transition arrow.  Be sure to keep trak of all minus signs.
The energy difference in the atom is equal to the energy of the light emitted.  So, this energy is the same as the energy calculated in the previous question.  That's conservation of energy.
The energy of the photon depends only on the difference between tow energy levels of the electron.  thus, many different possibilities are available for the energies of the two levels as ling as the difference between them does not change.

An example

For this energy level diagram
Example
How many energy levels are needed to create one spectral line?
2

What is the energy of the spectral line as indicated by the eV scale?
About 2.7 eV
List the values of the energies that you created.
-0.9 eV and -3.6 eV
What is the difference in energy between the atom’s initial total energy and its final total energy?
Energy difference = (Initial energy in your transition) - (Final energy in the transition)
Energy difference =(-0.9 eV) - (-3.6 eV) = 2.7 eV
How is this energy difference related to the energy of the light emitted by the atom?
The energy difference in the atom is equal to the energy of the light emitted.  So, in this case it is 2.5 eV.

Move the energy levels up or down but keep the difference in energy between the electron’s final and initial energy levels constant.  Why does the spectral line stay at the same energy?
See the answer above for the reasoning.  Here are two more transitions that also create a 2.7 eV photon.
Eaxaple 2        Example

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