The European Physical Journal D

, Volume 48, Issue 3, pp 313–319 | Cite as

Calculating damping effects for the ion motion in a Penning trap

  • M. KretzschmarEmail author
Atomic Physics


In this note a simple idea is suggested to calculate the effect of damping on the ion motion in a Penning trap. The analysis is restricted to the experimentally important special case that the axial motion (z-direction) is not coupled to that in the xy-plane, so that both motions can be treated separately. The method views the cyclotron frequency ωc as a complex variable that can be continued analytically from real values (undamped case) into the complex plane. The power of the approach becomes obvious in connection with advanced problems such as the calculation of line profiles for quadrupole excitation.


07.75.+h Mass spectrometers 21.10.Dr Binding energies and masses 32.10.Bi Atomic masses, mass spectra, abundances, and isotopes 82.80.Qx Ion cyclotron resonance mass spectrometry 


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  1. L.S. Brown, G. Gabrielse, Rev. Mod. Phys. 58, 233 (1986) CrossRefADSGoogle Scholar
  2. M. Kretzschmar, Eur. J. Phys. 12, 240 (1991) CrossRefGoogle Scholar
  3. P.K. Ghosh, Ion Traps (Clarendon Press, Oxford, 1995) Google Scholar
  4. F.G. Major, V.N. Gheorghe, G. Werth, Charged Particle Traps (Springer-Verlag, Berlin, Heidelberg, 2005) Google Scholar
  5. E.A. Mason, E.W. McDaniel, Transport Properties of Ions in Gases (John Wiley and Sons, New York, 1988) Google Scholar
  6. R.B. Moore, Buffer Gas Cooling of Ion Beams (2002); see also Abstract CERN - EP/2000-048. Google Scholar
  7. M. Kretzschmar, Int. J. Mass Spectrom. 264, 122 (2007) CrossRefGoogle Scholar
  8. G. Bollen, R.B. Moore, G. Savard, H. Stolzenberg, J. Appl. Phys. 68, 4355 (1990) CrossRefADSGoogle Scholar
  9. K. Blaum, Phys. Rep. 425, 1 (2006) CrossRefADSGoogle Scholar
  10. K. Blaum, G. Bollen, F. Herfurth, A. Kellerbauer, H.-J. Kluge, M. Kuckein, S. Heinz, P. Schmidt, L. Schweikhard, J. Phys. B: At. Mol. Opt. Phys. 36, 921 (2003) CrossRefADSGoogle Scholar
  11. M. König, G. Bollen, H.-J. Kluge, T. Otto, J. Szerypo, Int. J. Mass Spectrom. Ion Proc. 142, 95 (1995) CrossRefGoogle Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Authors and Affiliations

  1. 1.Institut für Physik, Universität MainzMainzGermany

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