Theoretical Tools for the Description of Ion Motion in ICR Spectrometry

  • Dieter Schuch
  • Kyu-Myung Chung
  • Hermann Hartmann
Part of the Lecture Notes in Chemistry book series (LNC, volume 31)


In ICR spectrometry the motion of ions under the influence of magnetic and electric field is considered. This motion can be described by different methods which may be principally divided into two groups. One group includes descriptions based on classical particle mechanics, the other group utilizes field theoretical methods, where especially the quantum theoretical description has to be mentioned which will be discussed in more detail later on. In the following, we want to consider examplarily a single ion with thermal energy. Additional statistical and thermodynamical effects may be taken into account subsequently.


Wave Packet Coherent State Cyclotron Frequency Schrodinger Equation Classical Field Theory 
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  1. 1.
    J. D. Jackson, “Classical Electrodynamics” Wiley and Sons, Inc., New York, 1962Google Scholar
  2. 2.
    J. Bialiniki-Birula, Ann. Phys. 67 (1971) 252.CrossRefGoogle Scholar
  3. 3.
    E. Schrödinger, Naturwiss. 28 (1926) 664.CrossRefGoogle Scholar
  4. 4.
    R. J. Glauber, Phys. Rev. 131 (1963) 2766.CrossRefGoogle Scholar
  5. 5.
    L. S. Brown, Am. J. Phys. 41 (1973) 525.CrossRefGoogle Scholar
  6. 6.
    J. Mostowski, Phys. Lett. 56A (1976) 369.Google Scholar
  7. 7.
    J. Mostowski, Lett. Math. Phys. 2 (1977) 1.CrossRefGoogle Scholar
  8. 8.
    A. O. Barut, Z. Naturforsch. 32a (1977) 369.Google Scholar
  9. 9.
    H. Hartmann and K.-M. Chung, Theoret. Chim, Acta (Berl.) 45 (1977) 137.CrossRefGoogle Scholar
  10. 10.
    H. Hartmann and K.-M. Chung, Lecture Notes in Chemistry, Vol. 7. Springer-Verlag, Berlin, 1978.Google Scholar
  11. 11.
    H. Hartmann, K.-M. Chung, D. Schuch and J. Radtke, Theoret. Chim. Acta (Berl.) 53 (1979) 203.CrossRefGoogle Scholar
  12. 12.
    H. Hartmann, K.-M. Chung, D. Schuch and K.P. Wanczek, Int. J. Mass Spectrom. Ion Phys. 34 (1980) 303.CrossRefGoogle Scholar
  13. 13.
    H. Hartmann, K.-M. Chung, G. Baykut and K.-P. Wanczek, J. Chem. Phys. to be published.Google Scholar
  14. 14.
    A. Janussis, Phys. Status Solidi 6 (1964) 217.CrossRefGoogle Scholar
  15. 15.
    G. Baykut, Thesis, University, Frankfurt, 1980.Google Scholar
  16. 16.
    K.-M. Chung and B. Mrowka, Z. Physik 259 (1973) 157.CrossRefGoogle Scholar
  17. 17.
    L. I. Schiff, “Quantum Mechanics”, McGraw-Hill, Tokyo, 1968.Google Scholar
  18. 18.
    L. D. Landau and E. M. Lifschitz,”Lehrbuch der Theoretischen Physik III, Quantenmechanik”, Akademie-Verlag, Berlin, 1979.Google Scholar
  19. 19.
    J. L. Beauchamp and T. J. Armstrong, Rev. Sci. Instrum. 40 (1969) 123.CrossRefGoogle Scholar
  20. 20.
    S. Chandraskhar, Rev. Mod. Phys. 15 (1943) 1.CrossRefGoogle Scholar
  21. 21.
    E. Kanai, Progr. Theor. Phys. 3 (1948) 440.CrossRefGoogle Scholar
  22. 22.
    W. E. Brittin, Phys. Rev. 77 (1950) 396.CrossRefGoogle Scholar
  23. 23.
    J. R. Ray, Nuovo Cim. Lett. 25 (1979) 47.CrossRefGoogle Scholar
  24. 24.
    D. M. Greenberger, J. Math. Phys. 20 (1979) 762.CrossRefGoogle Scholar
  25. 25.
    M. D. Kostin, J. Chem. Phys. 57 (1972) 3589.CrossRefGoogle Scholar
  26. 26.
    F. Hund, “Materie als Feld”, Springer-Verlag, Berlin, 1954.Google Scholar
  27. 27.
    E. Fick, “Einführung in die Grundlagen der Quantenmechanik”, Akademische Verlagsgesellschaft, Frankfurt, 1974.Google Scholar
  28. 28.
    H. Hartmann,”Die chemische Bindung. Drei Vorlesungen für Chemiker”, Springer-Verlag, Berlin, 1971.Google Scholar
  29. 29.
    E. Madelung, “Die mathematischen Hilfsmittel des Physikers”, Springer-Verlag, Berlin, 1950.Google Scholar
  30. 30.
    B. Mrowka, Z. Physik, 130 (1951) 164.CrossRefGoogle Scholar
  31. 31.
    D. Schuch, Thesis, University, Frankfurt, 1982.Google Scholar
  32. 32.
    D. Schuch, K.-M. Chung and H. Hartmann, submitted for publication to J. Math. Phys.Google Scholar
  33. 33.
    D. Schuch, K.-M. Chung and H. Hartmann, submitted for publication to Int. J. Quant. Chem.Google Scholar
  34. 34.
    J. Bialinicki-Birula and J. Mycielski, Ann. Phys. (N.Y.) 100 (1976) 62.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1982

Authors and Affiliations

  • Dieter Schuch
    • 1
  • Kyu-Myung Chung
    • 1
  • Hermann Hartmann
    • 1
  1. 1.Institut für Physikalische und Theoretische ChemieJohann Wolfgang Goethe-UniversitätFrankfurt (Main)Germany

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