Analytical study of electrostatic ion beam traps

Vallette, Alexandre; Indelicato, P.

doi:10.1103/physrevstab.13.114001

Cited by 4 publications

(7 citation statements)

References 34 publications

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“…Nowadays, multipole ion traps are extensively applied in a wide range of scientific areas, namely, organic cryogenic chemistry [1][2][3][4][5], ion transportation systems [6][7][8], optical cooling of charged particles [9,10], and mass selection [11][12][13]. Multipole trap is an important universal tool for localization of ions and precision measurements [14].…”

Section: Introductionmentioning

confidence: 99%

Features of the effective potential formed by multipole ion trap

Rudyi

Vovk

Rozhdestvensky

2019

J. Phys. B: At. Mol. Opt. Phys.

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Here we present a new model of the effective field in multielectrode ion traps. The proposed method involves averaging over radio frequency oscillations, through which we derive stationary equations of ion motion in the trap. We apply our approach to the 22-pole trap and compare the resulting potential distribution with both numerical calculations and experimental data. We show that the multipole trap with 2n electrodes excluding quadrupole traps has n points of stable quasi-equilibrium. We also calculate the stability diagram for the 22-pole trap, the main features of which can also be described by the proposed method. The proposed approach is of importance for particle trap dynamics analysis and mass-to-charge selection techniques.

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Section: Introductionmentioning

confidence: 99%

Features of the effective potential formed by multipole ion trap

Rudyi

Vovk

Rozhdestvensky

2019

J. Phys. B: At. Mol. Opt. Phys.

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“…However, besides the inaccuracy near (4500, 5400) due to the 1% error on the analytical potential [10], we can see on Fig. 2, that some settings (e.g., in the region marked C) are theoretically predicted to be stable, and are not observed experimentally.…”

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confidence: 93%

“…The first major result of this paper is that configurations where trapping can be observed experimentally are mainly contained in the stability region defined by Floquet's theory. However, besides the inaccuracy near (4500, 5400) due to the 1% error on the analytical potential [10], we can see in fig. 2, that some settings (e.g., in the region marked C) are theoretically predicted to be stable, and are not observed experimentally.…”

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confidence: 95%

“…The large number of parameters implied in the tuning of the EIBT makes changing of the setup difficult as it requires a lengthy trial and error procedure. In a previous article [10], we presented a method to obtain an analytical formula of the potential inside the EIBT. Using this method, we calculate the potential on the axis V (z) as a function of the five potentials applied to the electrodes.…”

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confidence: 99%

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Stability of ion confinement for a novel mass spectrometer of infinite mass range

Vallette¹,

Szabo²,

Indelicato³

2013

EPL

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We study the ions dynamics inside an Electrostatic Ion Beam Trap (EIBT) and show that the stability of the trapping is ruled by a Hill's equation. This unexpectedly demonstrates that an EIBT, in the reference frame of the ions works very similar to a quadrupole trap. The parallelism between these two kinds of traps is illustrated by comparing experimental and theoretical stability diagrams of the EIBT. The main difference with quadrupole traps is that the stability depends only on the ratio of the acceleration and trapping electrostatic potentials, not on the mass nor the charge of the ions. All kinds of ions can be trapped simultaneously and since parametric resonances are proportional to the square root of the charge/mass ratio the EIBT can be used as a mass spectrometer of infinite mass range. , they form a new family of traps operating at energies of a few keV. They are used for atomic and molecular metastable-states studies, molecular fragmentation and photodissociation (see, e.g., [7] for a review). Beyond providing trapping of energetic particles in a well defined direction, these traps have many interesting features : they are small, relatively inexpensive, easy to setup and operate and have a field-free region where ions move freely and where measurements can easily be performed. They can even be used as Time Of Flight (TOF) mass spectrometers [8] or cooled at cryogenic temperatures [9].Despite these interesting features, all the published theoretical models describing EIBT are based on one dimensional approximations, neglecting the radial motion. This leads to inaccurate predictions of the trap stability and operating domain, and restricts their flexibility, as finding reasonable working points requires lengthy and tedious experimental exploration. This may partly be explained by the lack of an analytical formula for the electrostatic potential inside these traps leading to the dilemma of choosing between a simplistic analytical model and a heavy numerical treatment unsuited to explore the huge space of parameters. Usual beam simulation codes fail to produce good results as the numerical inaccuracies at the ion turning points lead to energy non conservation reaching a few 100 eV over a few tens of oscillations. Here we solve the problem, using methods developed for radio-frequency quadrupole traps. We show that the radial dynamic is ruled by a Hill's equation, a particular case of the Mathieu equation that describes quadrupole traps. This model yields accurate predictions of the ions motion in the trap and of the stability region.The design and operation of the EIBT has been des- cribed previously in detail [1] and a schematic drawing of the ion trap is shown in Fig. 1. The trap consists of two sets of coaxial cylindrical electrodes roughly equivalent to two spherical mirrors, the electrostatic analog of a Fabry-Perot interferometer. The configuration of the trap is defined by the potentials of five of these electrodes {V 1 , V 2 , V 3 , V 4 , V z } on both ends of the trap, the others being grounded. ...

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“…Nowadays, (quasi)conformal mappings are frequently used for solving complex problems involving geometrically non-trivial two-dimensional domains (including 3D problems amenable to 2D formulations thanks to their symmetry). [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] The popularity of these mappings stems from their unique properties, particularly their ability to transform a geometrically complex or infinite area into a closed rectangular one while keeping the orthogonality of equipotential (or equiconcentration) lines (or surfaces) with flux lines (or tubes). This produces transformed spaces which are then much better suited for numerical simulation.…”

Section: Introductionmentioning

confidence: 99%

A Novel Approach to the Simulation of Electrochemical Mechanisms Involving Acute Reaction Fronts at Disk and Band Microelectrodes

et al. 2012

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A new simulation algorithm is presented for describing the dynamics of diffusion reactions at the most common microelectrode 1D (planar, cylindrical, spherical) and 2D geometries (band, disk) for electrochemical mechanisms of any complexity and involving fast homogeneous reactions of any kind. A series of typical electrochemical mechanisms that create the most severe simulation difficulties is used to establish the exceptional performance and accuracy of this algorithm, which stem from the combination of (quasi)conformal transformation of space and a new method for auto-adaptive grid compression.

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Analytical study of electrostatic ion beam traps

Cited by 4 publications

References 34 publications

Features of the effective potential formed by multipole ion trap

Features of the effective potential formed by multipole ion trap

Stability of ion confinement for a novel mass spectrometer of infinite mass range

A Novel Approach to the Simulation of Electrochemical Mechanisms Involving Acute Reaction Fronts at Disk and Band Microelectrodes

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