Relativistic doppler effect in199Hg+ stored ions atomic frequency standard
1989
RF traps are widely used nowadays in high resolution hyperfine spectroscopy. The spectrum of the microwave hyperfine transition at 40.5 GHz of the fundamental level2S1/2 of199Hg+ is phase modulated at the secular frequency of the stored ions and it consists of a narrow central line and lateral bands broadened by the ion trajectory and velocity distribution. The central line itself is shifted by the second-order Doppler effect which is the most important systematic error of stored ions frequency standards. In this paper the relativistic Doppler effect in the case of199Hg+ stored ions is deduced applying a mathematical formalism and using physical parameters that we have measured experimentally.
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