## The Electron Mass and Calcium Isotope Shifts: High-Precision Measurements of Bound-Electron g-Factors of Highly Charged IonsThis thesis presents the first isotope-shift measurement of bound-electron g-factors of highly charged ions and determines the most precise value of the electron mass in atomic mass units, which exceeds the value in the literature by a factor of 13. As the lightest fundamental massive particle, the electron is one of nature’s few central building blocks. A precise knowledge of its intrinsic properties, such as its mass, is mandatory for the most accurate tests in physics - the Quantum Electrodynamics tests that describe one of the four established fundamental interactions in the universe. The underlying measurement principle combines a high-precision measurement of the Larmor-to-cyclotron frequency ratio on a single hydrogen-like carbon ion studied in a Penning trap with very accurate calculations of the so-called bound-electron g-factor. For the isotope-shift measurement, the bound-electron g-factors of two lithium-like calcium isotopes have been measured with relative uncertainties of a few 10^{-10}, constituting an as yet unrivaled level of precision for lithium-like ions. |

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### Contents

1 | |

5 | |

3 Penning Trap Physics | 33 |

4 Towards the Measurement of the LarmortoCyclotron Frequency Ratio | 75 |

5 Determination of the Atomic Mass of the Electron | 117 |

Δgg40Ca17+g48Ca17+ | 134 |

7 Outlook A New Generation of HighPrecision Penning Trap | 147 |

Curriculum Vitae
| 166 |

### Other editions - View all

The Electron Mass and Calcium Isotope Shifts: High-Precision Measurements of ... Florian Köhler-Langes No preview available - 2017 |

The Electron Mass and Calcium Isotope Shifts: High-Precision Measurements of ... FLORIAN. KOHLER-LANGES No preview available - 2019 |

### Common terms and phrases

atomic mass axial frequency shifts axial resonator Blaum bound-electron g-factor BS-QED calcium isotopes calculated CODATA color figure online compensation coil contribution correction electrodes corresponding cyclotron resonator detection determination dipole excitation Doktorarbeit double-dip eigenfrequencies electric field electron mass experimental setup factor Feynman diagrams fine structure constant frequency ratio g-factor measurements Gaussian high-precision measurement highly charged ions image current shift isotope isotope shift Larmor frequency Lett line-shape model magnetic bottle magnetic field magnetic field fluctuations magnetron measurement cycles modified cyclotron energies modified cyclotron frequency modified cyclotron mode nuclear size optimized particle Penning trap phase evolution phase jitter phase-sensitive Phys PnA cycle proton qion quantum electrodynamics Quint radial readout relative uncertainty relativistic ring electrode second PnA pulse Sect sideband single 12C5+ ion Special Relativity spin spin-flip Sven Sturm systematic shifts technique temperature thermal thesis trap design tuning ratio voltage Werth Zeeman