1996
DOI: 10.1021/ac960653r
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Resonance Ejection from the Paul Trap:  A Theoretical Treatment Incorporating a Weak Octapole Field

Abstract: In response to the growing experimental evidence of the importance of nonlinear phenomena in ion trap operation, a new theoretical model of ion ejection is developed. The pseudopotential well approximation for forced ion oscillations in an ion trap under the conditions of ion-molecule collisions is modified to include octapole perturbations on the quadrupole field. Ion ejection is investigated using the first-order Mitropol'skii asymptotic method for both infinitesimal and finite scan rates. It is shown that t… Show more

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Cited by 87 publications
(64 citation statements)
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“…This sudden jump is likely the result of bistable behavior, expected for a nonlinear oscillator, and caused by the anharmonic terms on the right of eq 15 [9,21,22]. Bistable behavior has been observed in 3-D traps by Alheit et al, [19a] and Chu et al [19b], and attributed to anharmonicities in the potential.…”
Section: Bistable Behaviormentioning
confidence: 95%
See 1 more Smart Citation
“…This sudden jump is likely the result of bistable behavior, expected for a nonlinear oscillator, and caused by the anharmonic terms on the right of eq 15 [9,21,22]. Bistable behavior has been observed in 3-D traps by Alheit et al, [19a] and Chu et al [19b], and attributed to anharmonicities in the potential.…”
Section: Bistable Behaviormentioning
confidence: 95%
“…If the frequency of excitation is increased, ions can follow the curve to D, then suddenly jump in amplitude to C. If the frequency of excitation is decreased, starting at the right of Figure 4, ions can follow the upper curve past C to A where the amplitude suddenly decreases. The use of this type of behavior to improve scan speed and ion ejection from a 3-D trap has been described by Makarov [22].…”
Section: Bistable Behaviormentioning
confidence: 99%
“…The simulation approach is especially powerful for system optimization and fine feature tuning. On the other hand, theoretical modeling provides relatively general and better understandings of the fundamental mechanisms behind phenomena [23,[42][43][44][45][46][47][48][49][50][51][52][53][54][55]. Ion motion in the presence of buffer gas has been investigated theoretically by solving the ion motion differential equation with the background buffer gas treated as a damping term [53].…”
mentioning
confidence: 99%
“…In practical LITs, higher-order fields are inevitable for many reasons, such as the truncation of the electrodes, the use of simplified electrodes, and the existence of the ion ejection slots [30,[33][34][35][39][40][41][42]. Moreover, it is well known that ITs with some positive even-order fields might improve performance [33,[39][40][41][42][43][44][45].…”
Section: The Effects Of Higher-order Fieldsmentioning
confidence: 99%
“…Moreover, it is well known that ITs with some positive even-order fields might improve performance [33,[39][40][41][42][43][44][45]. For example, the addition of octopole [40][41][42][43][44][45] or dodecapole fields [30,33,39] can compensate for the detrimental field caused by the slot and, therefore, the mass resolution and mass accuracy are enhanced.…”
Section: The Effects Of Higher-order Fieldsmentioning
confidence: 99%