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MPINP:
Präzisionsexperimente - Abteilung Blaum
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+ ge = −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 EHFS = −8 665 649 865.77(26) )stat(1)sys Hz was extracted from the measurement
and allows to calculate the Zemach radius rZ = 2.608(24) fm, which characterizes the
electric and magnetic form factors of the nucleus.
