Perturbation theory for ion motion in quadrupole radio frequency field

International Journal of Mass Spectrometry

Volumn 325-327, Issue , 2012, Pages 58-66

  Mikhail, Sudakov ^a   Maria, Apatskaya ^a  

^a RYAZAN STATE RADIO ENGINEERING UNIVERSITY   (Russian Federation)

Author keywords

Matrix method; Perturbation theory; Quadrupole mass filter; Stability diagram

Indexed keywords

EID: 84865448533     PISSN: 13873806     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijms.2012.07.019     Document Type: Article

References (14)

1. W. Paul, H.P. Reinhard, and U. Von Zahn Das elektrische massenfilter als massenspectrometer und isotopentrenner Zeitschrift fur Physik 152 1958 143 182
2. P.H. Dawson Quadrupole Mass Spectrometry and its Applications 1976 Elsevier Amsterdam
3. W.E. Austin, A.E. Holme, and J.H. Leck P.H. Dawson, Quadrupole Mass Spectrometry and Its Applications 1976 Elsevier Amsterdam (Chapter 6)
4. C.F.D. Ding, N.V. Konenkov, and D.J. Douglas Quadrupole mass filters with octopole fields Rapid Communications in Mass Spectrometry 17 2003 2495 2502
5. N.V. Konenkov, L.M. Cousins, V.I. Baranov, and M.Yu. Sudakov Quadrupole mass filter operation with auxiliary quadrupole excitation: theory and experiment International Journal of Mass Spectrometry 208 2001 17 27
6. N.W. McLachlan Theory and Applications of Mathieu Functions 1947 Clarendon Oxford
7. L.A. Pipes Matrix solution of equations of the Mathieu-Hill type Journal of Applied Physics 24 1953 902 910
8. M. Baril, and P.L.E. Marchand An improved and accurate method for the calculation of trajectories in quadrupole mass filters and ion traps using phase space dynamics International Journal of Mass Spectrometry and Ion Processes 98 1990 87 97
9. N.V. Konenkov, M.Yu. Sudakov, and D.J. Douglas Matrix method for the calculation of stability diagrams in quadrupole mass spectrometry Journal of the American Society for Mass Spectrometry 13 2002 597 613
10. V.I. Arnol'd Ordinary Differential Equations 3rd ed. 1991 Springer-Verlag Berlin pp. 256-264
11. K.R. Symon Mechanics 1964 Addison-Wesley Publishing Co. Inc., Reading
12. J.W. Hager A new linear ion trap mass spectrometer Rapid Communications in Mass Spectrometry 16 2002 512 526
13. J.C. Schwartz, M.W. Senko, and J.E.P. Syka A two dimensional ion trap mass spectrometer Journal of the American Society for Mass Spectrometry 13 2002 659 669
14. M. Sudakov Effective potential and the ion axial beat motion near the boundary of the first stable region in a nonlinear ion trap International Journal of Mass Spectrometry 206 2001 27 43