2011-№2(31) Article 13
N.V. Konenkov, Yu.V. Strashnov, M.N. Mahmudov
Parametric resonance excitation of ion oscillations in quadrupole RF field. p.136-151
UDC 53
The paper presents a review of researches dealing with ion-optical properties of ion motion in quadrupole electrical RF fields. It provides a detailed analysis of working stability region and ion motion equations. It dwells on the acceptance of the QMF, which predetermines admissible initial ion positions and velocities. It also provides a frequency spectrum of ion oscillations. The paper treats the role of periodic ion oscillations frequencies near the tip and provides the results of recent studies of parametric resonance excitation of ion oscillations. The article also deals with methods for the formation of islands of stability: (i) the use of additional RF voltage, (ii) an amplitude voltage modulation and (iii) the phase or frequency RF voltage modulation. The paper provides experimental data illustrating the operation in the islands of stability.
quadrupole mass-filter (QMF), Mathieu equation, stability zones, stability region, stability parameter, acceptance, transmission curves, entrance fringing fields, parametric resonance, instability bands, stability islands, peak shape, mass spectrum, resolution power.
References
1. Baranov, A. Chastotnaya i fazovaya modulyatsiya garmonicheskogo pitaniya kvadrupol’nogo fil’tra mass [frequency and phase modulation of harmonic power of quadrupole mass filter]. Mass-spektrometry, 2007, no 4. pp. 31–36.
2. Konenkov, N.V. Kvadrupol’nyj fil’tr mass s impul’snym pitaniem [Quadrupole mass filter with switch-mode power]. Mass-spektrometry, 2005, no 2(3), pp. 99–208.
3. Slobodenyuk, G.M. Kvadrupol’nye mass-spektrometry [Quadrupole mass-spectrometers]. Мoscow, Atomizdat, 1974.
4. M. Abramovitsa, I. Stigan. Cpravochnik po spetsial’nym funktsiyam [Special functions handbook]. Мoscow, Science, 1979.
5. A.M. Prohorov. Fizicheskiy entsiklopedicheskiy slovar’ [Physical encyclopaedia]. Moscow, Soviet Encyclopedia, 1983.
6. V.I. Baranov N.V. Konenkov, S.D. Tanner. QMF Operation with Quadrupole Excitation. Plasma Source Mass Spectrometry, The New Millenium. Cambridge: Royal Society of Chemistry, 2001, pp. 63–72.
7. Collings B.A. Observation of Higher Order Quadrupole Excitation Frequencies in Linear Ion Trap. J. Am. Soc. Mass Spectrom., 2000, vol. 11, pp. 1016–1022.
8. Dawson P.H. Ion optical properties of quadrupole Mass Filters. Advances in Electronics and Electron Physics, 1980, vol. 53, pp. 153–208.
9. Dawson P.H. Source-analyzer Coupling in the Qudrupole Mass Filter. Int. J. Mass Spectrom. Ion Process, 1990, vol. 100, pp. 41–45.
10. Devant G. Patent FR, no. 2620568, 1989.
11. Ding C. Quadrupole mass filters with octopole fields. Rapid. Commun. Mass Spectrom., 2003, vol. 17, pp. 2495–2502.
12. Du Z. Elemental analysis with quadrupole mass filters operated in higher stability regions. J. Analyt. Atomic Spectrom., 1999, vol. 14(8), pp. 1111–1119.
13. Glebova T. Quadrupole mass filter transmission in island A of the first stability region. Europ. J. Mass Spectrom., 2002, vol.8, pp. 201–205.
14. Hunter, K.L. An Improved Model of the Fringing Fields of a Quad-rupole Mass Filter. Int. J. Mass Spectrom. Ion Process., 1989, vol. 87, pp. 157–164.
15. Konenkov, N.V. Quadrupole Mass Filter Operation with Auxiliary Quadrupole Excitation: Theory and Experiment. Int. J. Mass Spectrom., 2001, vol. 208, pp. 17–27.
16. Konenkov N.V. QMF acceptance in mode separation of the second (intermediate) stability zone. J. Tech. Phys., 1992, vol. 62, pp. 165–169.
17. Konenkov, N. Upper Stability Island of the Quadrupole Mass Filter with Amplitude Modulation of the Applied Voltages. J. Am. Soc. Mass Spectrom., 2005, vol. 16, pp. 379–387.
18. Konenkov N.V. Mass analysis in islands of stability with linear quadrupoles with added octopole fields. J. Am. Soc. Mass Spectrom., 2007,vol. 18, pp. 826–834.
19. Konenkov N. Method of operating quadrupoles with added multipole fields to provide mass analysis in islands of stability. Patent US, no. 7709786, 2010.
20. Kozo M.J. Development of Quadrupole Mass Spectrometers and Ion Optical Devices. Mass Spectrom. Soc. Jpn., 2009, vol. 57, pp. 23–29.
21. Kozo, M. Patent US, no. 5227629, 1993.
22. Luo, С. Mass Peak Shape Improvement of a Quadrupole Mass Filter when Operating with a Rectangular Wave Power Supply. Rapid Commun. Mass Spectrom., 2009, vol. 23/17, pp. 2793–2801.
23. March R.E. Quadrupole Storage Mass Spectrometry. N.Y.,Wiley, 1989, pp. 31–110.
24. McIntosh B.J. Influence of Realistic Fringing Fields on the Acceptance of a Quadrupole Mass Filter. Int. J. Mass Spectrom. Ion Process., 1989, vol. 87, pp. 165–179.
25. МсLachlan N.W. Theory and Application of Mathieu Functions., N.Y. Oxford University Press, 1947.
26. Quadrupole Mass Spectrometry and its Applications. Elsevier, Amsterdam, 1976.
27. Sudakov M. Yu. Matrix Methods for the Calculation of Stability Diagrams in Quadrupole Mass Spectrometry. J. Am. Soc. Mass Spectrom., 2002, vol. 13, pp. 597–613.
28. Sudakov, M. Excitation Frequencies of Ions Confined in a Quadrupole Field with Quadrupolar Excitation. J. Am. Soc. Mass Spectrom., 2001,vol. 11, pp. 11–18.
29. Theory of Quadrupolar Excitation. Part IV. Int. J. Mass Spectrom. Ion Proc., 1993, vol. 124, pp. 171–185.
30. Todd, J.F.F. The Quadrupole Ion Store (QUISTOR). PART X. Space Charge and Ion Stability. B. On the Theoretical Distribution and Density of Stored Charge in RF quadrupole Fields. Int. J. Mass spectrum. Ion Phys., 1980, vol. 35, pp. 107–150.
31. Wiedemann, H. Particle accelerator. Physics I. Springer, 2003, pp. 152–157.
32. Zhao, X.Z. Overcoming Field Imperfections of Quadrupole Mass Filters with Mass Analysis in Islands of Stability. Anal.Chem., 2009, vol. 81, no 14, pp. 5806–5811.
33. Zhao, X. Parametric excitations of trapped ions in a linear rf ion trap. Phys. Rev., 2002. no 66.