Difference between revisions of "Blackbody Radiation Mathematica"
(Created page with "Mathematica is an excellent software package to visualize equations. In this activity, you will ultimately reproduce the Figure 1.2 from your textbook (Engle/Reed) showing the...") |
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| + | [http://esr.monmsci.net/wiki/index.php/CHEM_322 ...back to Chem 322] | ||
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Mathematica is an excellent software package to visualize equations. In this activity, you will ultimately reproduce the Figure 1.2 from your textbook (Engle/Reed) showing the variation in the frequency output from a blackbody radiator. But first... | Mathematica is an excellent software package to visualize equations. In this activity, you will ultimately reproduce the Figure 1.2 from your textbook (Engle/Reed) showing the variation in the frequency output from a blackbody radiator. But first... | ||
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2) Now plot 2 functions (as in part 1) on the same graph for 3000 K and 4000 K. | 2) Now plot 2 functions (as in part 1) on the same graph for 3000 K and 4000 K. | ||
| + | :-it is recommended that you cut/paste the plot statement above and then modify it, so you have reference to a standard plot...same goes for the next few graphs. | ||
3) Expand on this plot in part 2 to reproduce Figure 1.2 in your text. | 3) Expand on this plot in part 2 to reproduce Figure 1.2 in your text. | ||
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4) Now use the "Manipulate" function in Mathematica to produce an interactive plot for temperature ranging from 3000 - 4000 K. | 4) Now use the "Manipulate" function in Mathematica to produce an interactive plot for temperature ranging from 3000 - 4000 K. | ||
| − | All of the above graphs are plots of frequency vs. spectral density...can we then do the same as above (1-4) for a function that uses wavelength as opposed to frequency? See | + | 5) All of the above graphs are plots of frequency vs. spectral density...can we then do the same as above (1-4) for a function that uses wavelength as opposed to frequency? See this wiki page: https://en.wikipedia.org/wiki/Planck%27s_law |
| − | https://en.wikipedia.org/wiki/Planck%27s_law | + | :(Note: the wiki page uses spectral radiance as opposed to spectral density; the difference appears to be only a constant). |
Latest revision as of 14:26, 17 January 2019
Mathematica is an excellent software package to visualize equations. In this activity, you will ultimately reproduce the Figure 1.2 from your textbook (Engle/Reed) showing the variation in the frequency output from a blackbody radiator. But first...
1) Plot the frequency vs. spectral density when the blackbody is at 3000 K.
2) Now plot 2 functions (as in part 1) on the same graph for 3000 K and 4000 K.
- -it is recommended that you cut/paste the plot statement above and then modify it, so you have reference to a standard plot...same goes for the next few graphs.
3) Expand on this plot in part 2 to reproduce Figure 1.2 in your text.
4) Now use the "Manipulate" function in Mathematica to produce an interactive plot for temperature ranging from 3000 - 4000 K.
5) All of the above graphs are plots of frequency vs. spectral density...can we then do the same as above (1-4) for a function that uses wavelength as opposed to frequency? See this wiki page: https://en.wikipedia.org/wiki/Planck%27s_law
- (Note: the wiki page uses spectral radiance as opposed to spectral density; the difference appears to be only a constant).