William P. Gammel edited begin_centering_textbf_Abstract_end__.tex  over 8 years ago

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\textbf{Abstract}  \end{centering}  \begin{centering}  \par We performed both Doppler and subDoppler spectroscopy on the $5^{2}S_{1/2}$ → $5^{2}P_{3/2}$ transition of rubidium 85 ($^{85}$Rb) and rubidium 87 ($^{87}$Rb). We fit the Doppler spectroscopy curves to Maxwell Boltzmann velocity distributions to determine the temperature of the cell. We also fit the subDoppler spectroscopy curves to extract the transition energies and hyperfinestructure of the $5^{2}S_{1/2}$ F=2 ground state to the $5^{2}P_{3/2}$ F=1, F=2, and F=3 excited states of $^{85}$Rb, the $5^{2}S_{1/2}$ F=3 ground state to the $5^{2}P_{3/2}$ F=2, F=3, and F=4 excited states of $^{85}$Rb, the $5^{2}S_{1/2}$ F=1 ground state to the $5^{2}P_{3/2}$ F=0, F=1, and F=2 excited states of $^{87}$Rb, and the $5^{2}S_{1/2}$ F=2 ground state to the $5^{2}P_{3/2}$ F=1, F=2, and F=3 excited states of $^{87}$Rb.The  Our results were not quite consistent with theory within uncertainty, but there are many possible reasons for this slight discrepancy. The uncertainty in the Doppler profile fitting is most likely due to an incomplete model of the transmission curve. While we modeled the as a Maxwell Boltzmann Gaussian distribution, the actual curve is a convolution between the six Lorenztian line profiles and the Gaussian distribution. The uncertainty in the hyperfine fitting is likely mainly due to the fact that we modeled our frequency scan as linear but it is not actually linear. \end{centering}