William edited section_Conclusion_Both_Doppler_free__.tex  over 8 years ago

Commit id: 3de327b8ed8c788a70db4591fdea8094c9e2203d

deletions | additions      

       

\section{Conclusion}  Both Doppler free absorption spectroscopy and Doppler Spectroscopy were successfully used to characterize energy levels seen in $$ $^{85}Rb$  and $$. $^{87}Rb$.  Furthermore Doppler free absorption spectroscopy was successfully used to capture the hyperfine structure seen in these two isotopes of Rubidium. While we were not able to convert oscilloscope time into transmission frequency due to an initial underestimate of uncertainty, and a non-linear frequency scan, we still concluded that the Lorentzian fit for transmission data was a good model, since $$ $\tilde{\chi}^2$  was close to 1 for all fits. \par Hyperfine structure could not be resolved by Dopller spectroscopy, but we were able to calculate average temperature of the atoms. We expected the temperature of the atoms to be around $T=300 K$ (room temperature), however most of our temperature values were consistently higher than the expected value. We attributed this to our decision to fit our data using a Maxwell-Boltzmann distribution instead of the more accurate Gaussian/Lorentzian combination, and not error in our experiment.