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キーワード:
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MPINP:
Präzisionsexperimente - Abteilung Blaum
要旨:
In the context of this thesis the electron mass has been determined in atomic
mass units with a relative uncertainty of 2.8・10−11, which represents a 13-fold improvement
of the 2010 CODATA value. The underlying measurement principle combines a highprecision
measurement of the Larmor-to-cyclotron frequency ratio on a single hydrogenlike
carbon ion 12C5+ with a very accurate g-factor calculation. Furthermore, this thesis contains
the first isotope shift measurement of bound-electron g-factors of highly charged ions.
Here, the g-factors of the valence electrons of the lithiumlike calcium isotopes 40Ca17+ and
48Ca17+ have been measured with relative uncertainties of a few 10−10, constituting a so-far
unrivaled level of precision for lithiumlike ions. These calcium isotopes provide a unique
system across the entire nuclear chart to test the pure relativistic nuclear recoil effect.
The corresponding and successfully tested theoretical prediction is based on bound-state
quantum electrodynamics but goes beyond the standard formalism, the so-called Furry
picture, where the nucleus is considered as a classical source of the Coulomb field. The three
Larmor-to-cyclotron frequency ratios of 12C5+, 40Ca17+ and 48Ca17+ have been determined
in sequence in a non-destructive manner on single trapped ions stored in a triple Penning
trap setup. The cyclotron frequency is measured by a dedicated phase-sensitive detection
technique while simultaneously probing the Larmor frequency. The spin-state of the bound
valence electron is determined by the continuous Stern-Gerlach effect. In the very last part
of this thesis, a new design of a highly compensated cylindrical Penning trap has been
developed, which will be used in next generation’s high-precision Penning trap experiments.
