%0 Generic
%A Köhler, Florian Thomas
%D 2015
%F heidok:19184
%K Atomphysik, Elektronenmasse, g-Faktor, Isotopieverschiebung, Penning Falle
%R 10.11588/heidok.00019184
%T Bound-Electron g-Factor Measurements  for the Determination of the Electron Mass  and Isotope Shifts in Highly Charged Ions
%U https://archiv.ub.uni-heidelberg.de/volltextserver/19184/
%X In the context of this thesis the electron mass has been determined in atomic mass units with a relative uncertainty of 28 ppt, which represents a 13-fold improvement of the 2010 CODATA value. The underlying measurement principle combines a high-precision 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 0.1 ppb, 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.