Phase-Coherent Measurement of the Hydrogen 1S-2S Transition Frequency with an Optical Frequency Interval Divider Chain

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Scientific paper

We have measured the absolute frequency of the hydrogen 1S-2S two-photon resonance with an accuracy of 3.4 parts in 1013 by comparing it with the 28th harmonic of a methane-stabilized 3.39 μm He-Ne laser. A frequency mismatch of 2.1 THz at the 7th harmonic is bridged with a phase-locked chain of five optical frequency interval dividers. From the measured frequency f1S-2S = 2 466 061 413 187.34\(84\) kHz and published data of other authors we derive precise new values of the Rydberg constant, R∞ = 10 973 731.568 639\(91\) m-1 and of the Lamb shift of the 1S ground state, L1S = 8172.876\(29\) MHz. These are now the most accurate values available.

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