Energy graphs and the Bohr model

This page gives a more in-depth explanation of how to use energy graphs to comprehend the Bohr model. It explains how to illustrate excited states and photon emissions or absorptions.

by Caitlin Taylor

The Main Idea

Energy graphs and the Bohr model.

This page gives a more in-depth explanation of how to use energy graphs to comprehend the Bohr model. It explains how to illustrate excited states and photon emissions or absorptions.

A Mathematical Model

The Bohr Model, as explained in the Bohr Model wiki page depicts the atom as a small, positively charged nucleus surrounded by electrons. In the Bohr Model, electrons can only be at certain, different, distances from the proton to which it is bound. Energy is quantized which means that only orbits with certain radii are allowed, while orbits in between simply don't exist.[1] These levels are knows an quantized energy levels and are labeled with integer N known as quantum number where the lowest energy state is the ground state. As the electrons become further away from the nucleus, they become larger and have higher energy. Beyond an energy called the ionization potential the single electron of the hydrogen atom is no longer bound to the atom. The Bohr model works well for very simple atoms such as hydrogen.

Electronic Energy levels of a Hydrogen Atom

E = K + Uelectric

1) [math]\displaystyle{ E = {\frac{mv^2}{2}} - {\frac{{\frac{1}{2}}*{\frac{1}{4π ε0}}*{\frac{me^2}{h*}}}{N^2}} }[/math]

2) [math]\displaystyle{ E = {\frac{13.6 eV}{N^2}} }[/math] where N = 1,2,3

A Computational Model

How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript

Examples

Simple

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This Bohr model picture helps you visualize the orbit radii of the different excited states of the hydrogen atom described in the Bohr model. It displays how the distances in orbit radii get increasingly larger. This also means that due to the fact that the distance from the center is much larger, the ionization energy is much less. [2]

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Connectedness

1. How is this topic connected to something that you are interested in?
2. How is it connected to your major?
3. Is there an interesting industrial application?

History

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

See also

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

Further reading

Books, Articles or other print media on this topic

External links

[1][1]

References

1. http://csep10.phys.utk.edu/astr162/lect/light/bohr.html

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2. http://hyperphysics.phy-astr.gsu.edu/hbase/hyde.html