The Electron Mass and Calcium Isotope Shifts: High-Precision Measurements of Bound-Electron g-Factors of Highly Charged Ions (Springer Theses)

This 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. This 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. Here, the g-factors of the valence electrons 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. These calcium isotopes provide a unique system across the entire nuclear chart to test the pure relativistic nuclear recoil effect Introduction.- The g-Factor - Exploring Atomic Structure and Fundamental Constants.- Penning Trap Physics.- Towards the Measurement of the Larmor-to-cyclotron Frequency Ratio.- Determination of the Atomic Mass of the Electron.- Outlook - A New Generation of High-Precision Penning Trap.