eprintid: 35066
rev_number: 12
eprint_status: archive
userid: 8258
dir: disk0/00/03/50/66
datestamp: 2024-07-08 13:02:02
lastmod: 2024-07-11 12:15:43
status_changed: 2024-07-08 13:02:02
type: doctoralThesis
metadata_visibility: show
creators_name: Dickopf, Stefan
title: High-precision Penning-trap measurements of the magnetic moments and hyperfine splitting in hydrogen-like beryllium-9
subjects: ddc-530
divisions: i-130001
adv_faculty: af-13
abstract: During this work, microwave spectroscopy of the Zeeman and hyperfine structure of 9Be3+
was performed to measure its magnetic moments and zero-field splitting. To this end, the
experimental Penning-trap setup, previously used for spectroscopy on 3He+, was upgraded,
and the measurement techniques were improved. Most significantly, the implementation of
phase-sensitive methods served a twofold improvement. Firstly, the statistical measurement
uncertainty was reduced by a factor of 20. Secondly, they enabled the development of robust
methods to characterize the fields and motion inside the trap, resulting in relative systematic
uncertainties due to field imperfections well below 10−11. By measurement of nuclear-spin
transitions in 9Be3+, its nuclear magnetic moment and zero-field splitting were determined
with relative uncertainties of 0.6x10−9 and 4x10−12, respectively. Compared to previous determinations, 
the uncertainty of the nuclear magnetic moment of 9Be was improved by a factor
30 with only the magnetic moment of the proton being more precise. Further, a comparison
with established measurements on 9Be+ enabled a crucial test of diamagnetic shielding parameters 
essential for transferring nuclear magnetic moments across different charge states.
Additionally, electron-spin transitions were measured using the phase-sensitive measurement
technique. The resonance centers could be determined with relative statistical uncertainties of
2x10−11 improving on state-of-the-art bound-electron �-factor measurements. These measurements 
pave the way towards a determination of the electron mass in atomic mass units with relative 
uncertainties below 10−11.
date: 2024
id_scheme: DOI
id_number: 10.11588/heidok.00035066
ppn_swb: 1895143756
own_urn: urn:nbn:de:bsz:16-heidok-350665
date_accepted: 2024-06-19
advisor: HASH(0x55fc36c8df60)
language: eng
bibsort: DICKOPFSTEHIGHPRECIS
full_text_status: public
place_of_pub: Heidelberg
citation:   Dickopf, Stefan  (2024) High-precision Penning-trap measurements of the magnetic moments and hyperfine splitting in hydrogen-like beryllium-9.  [Dissertation]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/35066/1/thesis_Stefan_Dickopf.pdf