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Investigation of Hyperfine Levels of Rb

This study delves into the hyperfine levels of Rb using theory and experimental data. The theory explains Doppler-broadened peaks, nuclear spin coupling, and more. The apparatus showcased the appearance and FWHM of doublet peaks, with conclusions highlighting results and limitations.

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Investigation of Hyperfine Levels of Rb

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  1. Investigation of Hyperfine Levels of Rb Tim Valdés Emmett Weindruch

  2. Contents • Theory • Apparatus • Data / Results • Conclusions

  3. Theory • Without saturation, expect Doppler-broadened peaks • Width of Doppler-broadened peaks is given by: ΔvD=2v0(2kT*ln(2)/Mc2)1 • Width of the peaks should be 511.3 MHz • See hyperfine levels in a saturated absorption • Source of hyperfine levels originates in the nucleus • Hyperfine splittings due to nuclear spin coupling 1) See ref. 1

  4. Apparatus

  5. Apparatus

  6. Data / Results • Appearance of doublet peaks • FWHM of peaks: • 843MHz • 806MHz • 636MHz • 633MHz 2 3 1 4

  7. Conclusions • Overlapping of the two higher energy peaks resulted in larger FWHM values • 24% error in peak width • Hyperfine levels limited to the resolution of the detector

  8. Reference • Davis, Christopher C. Lasers and Electro-Optics: Fundamentals and Engineering. Cambridge University Press. Cambridge, Great Britain. 1996.

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