Piégeage des ions dans un champ quadrupolaire tridimensionnel à haute fréquence

Baril, Marcel; Septier, A.

doi:10.1051/rphysap:0197400903052500

Cited by 81 publications

(22 citation statements)

References 4 publications

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“…When σ [v z (t 0 )] = 0 m/s, all the trajectories have their initial velocity equal to zero (trajectories with same initial phases), the maximal amplitude of the image signal is equal to the sum of the values of the initial positions (curve (a) of Fig. 2) as expected in Eqn (13).…”

Section: Numerical Calculationsmentioning

confidence: 62%

“…The points of the ion trajectory -sampled at the confinement field period -fall upon an ellipse in the phase space. The maximal extension in position of the ellipse is expressed by: [13,14] z m = √ εB (5) with:…”

Section: Summary Of the Matrix Methods And Phase Space Dynamicsmentioning

confidence: 99%

“…The position and velocity distributions are not uniform for the Initial-confinement phase ϕ 0 = π/2. In this case, the dynamic of the signal image can be increased and calculated according to Eqn (13).…”

Section: Example Of Initial Position and Velocity Distribution With Smentioning

confidence: 99%

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Sensitivity and amplitude calibration of a Fourier transform 3D quadrupole ion trap mass spectrometer

Janulyte¹,

Zerega²,

Carette³

et al. 2011

J. Mass Spectrom.

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With a three-dimensional (3D) quadrupole ion trap running in a Fourier transform operating mode, the detected signal is an image of the collective motion of the confined ions. Consequently, it is assumed that the image signal is the sum of the axial trajectories of the simultaneously confined ions. The resulting frequency spectrum after Fourier transformation comprises frequency peaks at the axial secular frequencies of the confined species according to their mass/charge ratio. With a singly confined species, the maximal amplitude of the image signal is proportional to the amplitude of the secular axial frequency peak. The matrix method is employed to express the axial trajectory sampled at the confinement field period. In that case, the expression of the image signal, as well as its maximal amplitude, is calculated as a function of the trap operating conditions and initial axial positions and axial velocities of the ions. The initial position and velocity distributions are connected to the injection mode. With the steady ion flow injection mode (SIFIM) and an initial phase of the confinement field equal to kπ, the maximal amplitude of the image signal is proportional to either the sum of the initial axial positions or the number of confined ions and the mean value of the initial axial positions. By simulation, amplitude fluctuation of the frequency peak is then calculated for a number of ions ranging between some tens to some thousands of ions injected by SIFIM. The peak amplitude fluctuations induced by the fluctuations of the number of ions are seven times greater than those induced by the fluctuations of the distribution of the initial axial positions.

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Section: Numerical Calculationsmentioning

confidence: 62%

Section: Summary Of the Matrix Methods And Phase Space Dynamicsmentioning

confidence: 99%

See 1 more Smart Citation

Sensitivity and amplitude calibration of a Fourier transform 3D quadrupole ion trap mass spectrometer

Janulyte¹,

Zerega²,

Carette³

et al. 2011

J. Mass Spectrom.

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show abstract

“…At any particular phase of the rf field at the point where the ion first experiences the field at its full value (after any fringing field), the ion acceptance can be expressed as an ellipse in the phase plane for the x or y directions (20,(36)(37)(38). Figure 11 shows one example.…”

Section: A Ion Acceptancementioning

confidence: 99%

Quadrupole mass analyzers: Performance, design and some recent applications

Dawson

1986

Mass Spectrometry Reviews

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“…7,8 To describe the ion motion through quadrupole mass filters, solutions to the equations of motion as trigonometric series for the stable trajectories, 9 as well as matrix methods, 10 have most often been used. Both methods rely on numerical calculations.…”

mentioning

confidence: 99%

Ion Trajectories in Quadrupole Mass Filters fora andq Parameters Near the Stability Region Tip

Ioanoviciu

1997

Rapid Commun. Mass Spectrom.

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The ion motion inside quadrupole mass filters is described for a and q values close to those corresponding to the stability region tip. The conventional solutions involving the constant-amplitude series of sine functions, which vanish for the stability region tip, were replaced by Mathieu functions of the second kind. Trajectories are completely defined as functions of time, or of the longitudinal coordinate, by the initial conditions, including the radiofrequency phase when the ion enters the filter, by the operating line slope and the value of q. For the stability region tip, ions with trajectories in a 12.5 cm long filter with 5.6 mm interelectrode distance, starting with x = 2.2 mm (y = 1.41 mm) or making an angle α x = 0.35° (α y = 0.48°), are predicted to be successful in traversing the quadrupole and to thus be detected. © 1997 by John Wiley & Sons, Ltd. Received 23 June 1997; Accepted 8 July 1997 Rapid. Commun. Mass Spectrom. 11, 1383-1386 (1997 ). This fact may be thought to be of minor importance because the operating line passes under the stability tip. However, as will be shown below, the contribution of trajectories with parameters corresponding to the tip is not always negligible. Also, it is not obvious how to connect the mathematical discontinuity of the stable solutions to a meaningful ion trajectory behaviour. It is somewhat uncertain whether or not the stable solutions can correctly describe ion trajectories near the stability region tip. In fact this question is relevant for most operating quadrupole filters because unit mass resolution at mass 100 u assumes differences for a and q from the tip values of only δa = ± 0.0012 and δq = ± 0.0035, respectively.The purpose of the following derivations is to establish a bridge over this region of possible controversies. The relations developed are a first order approximation in δa and δq, and their validity is limited by this to a narrow range. This range is less restrictive for shorter analysers in which ions are subjected to fewer radiofrequency cycles. Finally, both x and y ion coordinates are connected by analytical expressions to the time, to q, to the initial phase and to the operating line slope (as a parameter). ION MOTION ALONG THE x COORDINATE AXISThe motion of an ion in a quadrupole mass filter is described by differential equations of the Mathieu type.12 Along the x axis (Fig. 1)

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Piégeage des ions dans un champ quadrupolaire tridimensionnel à haute fréquence

Cited by 81 publications

References 4 publications

Sensitivity and amplitude calibration of a Fourier transform 3D quadrupole ion trap mass spectrometer

Sensitivity and amplitude calibration of a Fourier transform 3D quadrupole ion trap mass spectrometer

Quadrupole mass analyzers: Performance, design and some recent applications

Ion Trajectories in Quadrupole Mass Filters fora andq Parameters Near the Stability Region Tip

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