Energy graphs and the Bohr model: Difference between revisions
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Revision as of 22:37, 5 December 2015
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 more detail on the Bohr Model wiki, page depicts the atom as a small, positively charged nucleus surrounded by electrons which 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.[1] These levels are labeled with integer N, known as quantum number, where the lowest energy state is the ground state. 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
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]
Middling
Difficult
Connectedness
- How is this topic connected to something that you are interested in?
- How is it connected to your major?
- 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