eprintid: 31918 rev_number: 14 eprint_status: archive userid: 6826 dir: disk0/00/03/19/18 datestamp: 2022-07-18 12:49:54 lastmod: 2022-07-21 11:29:26 status_changed: 2022-07-18 12:49:54 type: doctoralThesis metadata_visibility: show creators_name: Schneider, Antonia title: Measurement of the g-factors and zero-field hyperfine splitting of 3He+ in a Penning trap subjects: ddc-530 divisions: i-130001 adv_faculty: af-13 abstract: The ground-state hyperfine splitting of 3He+ in a strong external magnetic field is investigated in a Penning-trap setup that was newly constructed in the context of this thesis. The nuclear g-factor of 3He+ g'_I = −4.255 099 606 9(30)stat(17)sys was measured for the first time directly. This result is one order of magnitude more precise than previous indirect determinations and provides a calibration for 3He NMR probes via the accurately calculated diamagnetic shielding parameters of 3He+ and atomic 3He. The experimental result for the bound electron g-factor of 3He+ g_e = −2.002 177 415 79(34)stat(30)sys is consistent with the state-of-the-art theoretical value. Furthermore, the zero-field hyperfine splitting E_HFS= −8 665 649 865.77(26)stat(1)sys Hz was extracted from the measurement and allows to calculate the Zemach radius r_Z = 2.608(24) fm, which characterizes the electric and magnetic form factors of the nucleus. date: 2022 id_scheme: DOI id_number: 10.11588/heidok.00031918 ppn_swb: 1811017819 own_urn: urn:nbn:de:bsz:16-heidok-319186 date_accepted: 2022-07-06 advisor: HASH(0x55a9a636c398) language: eng bibsort: SCHNEIDERAMEASUREMEN20220718 full_text_status: public place_of_pub: Heidelberg citation: Schneider, Antonia (2022) Measurement of the g-factors and zero-field hyperfine splitting of 3He+ in a Penning trap. [Dissertation] document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/31918/1/thesisas.pdf