Towards the Measurement of the Larmor-to-Cyclotron Frequency Ratio

  • Florian Köhler-LangesEmail author
Part of the Springer Theses book series (Springer Theses)


After introducing in the previous Chap.  3 the underlying principles of non-destructive high-precision Penning trap measurements with single, highly charged particles, in the present chapter I will focus on our specific experimental setup and the technical information, which are essential for the understanding of the complete high-precision measurement process on the Larmor-to-cyclotron frequency ratio.


Axial Frequency Magnetic Field Fluctuation Phase Jitter Analysis Trap Tuning Ratio 
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  1. 1.
    Schabinger, B.: Ein Experiment zur Bestimmung des g-Faktors des gebundenen Elektrons in wasserstoff- und lithiumähnlichen mittelschweren Ionen. Doktorarbeit (2011)Google Scholar
  2. 2.
    Sturm, S.: The G-Factor of the Electron Bound in \(^{28}\)Si\(^{13+}\): The Most Stringent Test of Bound-state Quantum Electrodynamics. Doktorarbeit (2012)Google Scholar
  3. 3.
    Wagner, A.: The G-factor of the Valence Electron Bound in Lithiumlike Silicon \(^{28}\)Si\(^{11+}\): The Most Stringent Test of Relativistic Many-electron Calculations in a Magnetic Field. Doktorarbeit (2013)Google Scholar
  4. 4.
    Stahl, S.K.-H.: A ufbau eines Experimentes zur Bestimmung elektronischer g-Faktoren einzelner wasserstoffähnlicher Ionen. Doktorarbeit (1998)Google Scholar
  5. 5.
    Hermanspahn, N.H.: Das magnetische Moment des gebundenen Elektrons in wasserstoffartigem Kohlenstoff (\(C^{5+}\) ). Doktorarbeit (1999)Google Scholar
  6. 6.
    Häffner, H.: Präzisionsmessung des magnetischen Moments des Elektrons in wasserstoffähnlichem Kohlenstoff. Doktorarbeit (2000)Google Scholar
  7. 7.
    Verdú, J.L.: Ultraprazise Messung des elektronischen g-faktors in wasserstoffähnlichem Sauerstoff. Doktorarbeit (2003)Google Scholar
  8. 8.
    Otamendi, J.A.: Development of an Experiment for Ultrahigh-Precision g-Factor Measurements in a Penning-Trap Setup. Doktorarbeit (2007)Google Scholar
  9. 9.
    Alonso, J., Blaum, K., Djekic, S., Kluge, H.-J., Quint, W., Schabinger, B., Stahl, S., Verdú, J., Vogel, M., Werth, G.: A miniature electron-beam ion source for in-trap creation of highly charged ions. Rev. Sci. Instrum. 77(3), 03A901 (2006)Google Scholar
  10. 10.
    Tönges, M.: Aufbau einer Mikrowellen-Anlage zur Spektroskopie an wasserstoffähnlichen Ionen in einem Penningkäfig. Dipolmarbeit (1996)Google Scholar
  11. 11.
    Gabrielse, G., Tan, J.: Self-shielding superconducting solenoid systems. J. Appl. Phys. 63(10), 5143–5148 (1988)ADSCrossRefGoogle Scholar
  12. 12.
    Gabrielse, G., Tan, J., Clateman, P., Orozco, L.A., Rolston, S.L., Tseng, C.H., Tjoelker, R.L.: A superconducting solenoid system which cancels fluctuations in the ambient magnetic field. J. Magn. Reson. (1969) 91(3), 564–572 (1991)Google Scholar
  13. 13.
    Ulmer, S.: First Observation of Spin Flips with a Single Proton Stored in a Cryogenic Penning Trap. Doktorarbeit (2011)Google Scholar
  14. 14.
    Blaum, K., Sturm, S.: Lecture: “Stored Charged Particles” (2014)Google Scholar
  15. 15.
    Brown, L.S., Gabrielse, G.: Geonium theory: physics of a single electron or ion in a Penning trap. Rev. Mod. Phys. 58, 233–311 (1986)Google Scholar
  16. 16.
    Ketter, J., Eronen, T., Höcker, M., Streubel, S., Blaum, K.: Firstorder perturbative calculation of the frequency-shifts caused by static cylindricallysymmetric electric and magnetic imperfections of a Penning trap. Int. J. Mass 358, 1–16 (2014)CrossRefGoogle Scholar
  17. 17.
    Köhler, F., Sturm, S., Kracke, A., Werth, G., Quint, W., Blaum, K.: The electron mass from g-factor measurements on hydrogen-like carbon \(^{12}\)C\(^{5+}\). J. Phys. B: At. Mol. Opt. Phys. 48(14), 144032 (2015)Google Scholar
  18. 18.
    Sturm, S., Kohler, F., Zatorski, J., Wagner, A., Harman, Z., Werth, G., Quint, W., Keitel, C.H., Blaum, K.: High-precision measurement of the atomic mass of the electron. Nature 506, 467–470 (2014)Google Scholar
  19. 19.
    Royston, P.: Remark AS R94. Appl. Stat. 44, 547–551 (1995)CrossRefGoogle Scholar

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© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of Stored and Cooled IonsMax-Planck-Institut für KernphysikHeidelbergGermany

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