title: Bound-Electron g-Factor Measurements for the Determination of the Electron Mass and Isotope Shifts in Highly Charged Ions creator: Köhler, Florian Thomas subject: ddc-530 subject: 530 Physics description: 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. date: 2015 type: Dissertation type: info:eu-repo/semantics/doctoralThesis type: NonPeerReviewed format: application/pdf identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/19184/1/Doktorarbeit_FlorianKoehler.pdf identifier: DOI:10.11588/heidok.00019184 identifier: urn:nbn:de:bsz:16-heidok-191849 identifier: Köhler, Florian Thomas (2015) Bound-Electron g-Factor Measurements for the Determination of the Electron Mass and Isotope Shifts in Highly Charged Ions. [Dissertation] relation: https://archiv.ub.uni-heidelberg.de/volltextserver/19184/ rights: info:eu-repo/semantics/openAccess rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html language: eng