The electron mass from \(g\)-factor measurements on hydrogen-like carbon \(^{12}\)C\(^{5+}\)

The electron mass in atomic mass units has been determined with a relative uncertainty of \(2.8\cdot 10^{-11}\), which represents a 13-fold improvement of the 2010 CODATA value. The underlying measurement principle combines a high-precision measurement of the Larmor-to-cyclotron frequency ratio on a...

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Bibliographic Details
Published in:arXiv.org 2016-04
Main Authors: Köhler, Florian, Sturm, Sven, Kracke, Anke, Werth, Günter, Quint, Wolfgang, Blaum, Klaus
Format: Article
Language:English
Subjects:
Atomic properties
Carbon
Cyclotron frequency
Cyclotrons
Electron mass
Uncertainty
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Summary:The electron mass in atomic mass units has been determined with a relative uncertainty of \(2.8\cdot 10^{-11}\), which represents a 13-fold improvement of the 2010 CODATA value. The underlying measurement principle combines a high-precision measurement of the Larmor-to-cyclotron frequency ratio on a single hydrogen-like carbon ion in a Penning trap with a corresponding very accurate \(g\)-factor calculation. Here, we present the measurement results in detail, including a comprehensive discussion of the systematic shifts and their uncertainties. A special focus is set on the various sources of phase jitters, which are essential for the understanding of the applied line-shape model for the \(g\)-factor resonance.
ISSN:2331-8422
DOI:10.48550/arxiv.1604.04380