Energy graphs and the Bohr model: Difference between revisions
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==The Main Idea== | [[File:[Example.jpg]]]==The Main Idea== | ||
Energy graphs and the Bohr model. | 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=== | ===A Mathematical Model=== | ||
Electronic Energy levels of a Hydrogen Atom | |||
E = K + Uelectric | |||
1) | |||
<math> E = {\frac{mv^2}{2}} - {\frac{{\frac{1}{2}}*{\frac{1}{4π ε0}}*{\frac{me^2}{h*}}}{N^2}}</math> | |||
2) | |||
<math> E = {\frac{13.6 eV}{N^2}}</math> where N = 1,2,3 | |||
What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings. | What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings. | ||
Revision as of 20:42, 5 December 2015
by Caitlin Taylor
[[File:[Example.jpg]]]==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
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 What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.
A Computational Model
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript
Examples
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