Negativegauss
ABSTRACT We performed both Doppler and subDoppler spectroscopy on the 5²S1/2 → 5²P3/2 transition of rubidium 85 (⁸⁵Rb) and rubidium 87 (⁸⁷Rb). 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 hyperfine structure of the 5²S1/2 F=2 ground state to the 5²P3/2 F=1, F=2, and F=3 excited states of ⁸⁵Rb, the 5²S1/2 F=3 ground state to the 5²P3/2 F=2, F=3, and F=4 excited states of ⁸⁵Rb, the 5²S1/2 F=1 ground state to the 5²P3/2 F=0, F=1, and F=2 excited states of ⁸⁷Rb, and the 5²S1/2 F=2 ground state to the 5²P3/2 F=1, F=2, and F=3 excited states of ⁸⁷Rb. The calculated difference between the transition from the F=2 excited state of the 5²S1/2 state of rubidium 87 to the 5²P3/2 state and the transition from the F=3 excited state of the 5²S1/2 state of rubidium 85 to the 5²P3/2 state, was found to be 1.062x10⁹ Hz ± 1.6x10⁷ Hz, compared to the value from of 1.22039x10⁹ Hz ± 2x10⁴ Hz. Our results for Doppler Spectroscopy 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 Lorentzian 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.