Approximate multipole coefficients of RF ion traps as functions of aperture size

Chattopadhyay, Madhurima; Mohanty, Atanu K.

doi:10.1016/j.ijms.2010.06.030

Cited by 5 publications

(3 citation statements)

References 18 publications

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“…Furthermore, slits and apertures must be integrated into the hyperbolic electrodes for ion introduction, ion injection, and often for ionization [70,71]. Because of these constraints, higher-order fields are introduced.…”

Section: Ion Dynamics and Nonlinear Field Contributionsmentioning

confidence: 99%

Resonance methods in quadrupole ion traps

Snyder

Peng

Cooks

2017

Chemical Physics Letters

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The quadrupole ion trap is widely used in the chemical physics community for making measurements on dynamical systems, both intramolecular (e.g. ion fragmentation reactions) and intermolecular (e.g. ion/molecule reactions). In this review, we discuss linear and nonlinear resonances in quadrupole ion traps, an understanding of which is critical for operation of these devices and interpretation of the data which they provide. The effect of quadrupole field nonlinearity is addressed, with important implications for promoting fragmentation and achieving unique methods of mass scanning. Methods that depend on ion resonances (i.e. matching an external perturbation with an ion's induced frequency of motion) are discussed, including ion isolation, ion activation, and ion ejection.

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Section: Ion Dynamics and Nonlinear Field Contributionsmentioning

confidence: 99%

Resonance methods in quadrupole ion traps

Snyder

Peng

Cooks

2017

Chemical Physics Letters

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“…The A 0 term is neglected, which does not influence the ion motion within the IT. [33,36] The percentages of other higher order multipoles are much smaller (typically less than 0.1%, the higher the order of the multipole is, the smaller the percentage is) without consideration of slits and are around 0.2% (negative for all higher order multipoles for ejection from semi-circular electrodes, but negative only for A 4m+2 (m = 3, 4, 5,…) for ejection from rectangular electrodes) in the presence of slits. In Fig.…”

Section: Electric Field Calculationmentioning

confidence: 99%

Linear ion trap with added octopole field component: the property and method

Dang

Huang

et al. 2015

J. Mass Spectrom.

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It is well known that superimposition of some positive octopole field will benefit the performance of ion trap mass analyzer. In the radial-ejection linear ion trap (LIT), adding some octopole field component to the main quadrupole field is usually accomplished by stretching the ejection rod pair. In this study, the effect of octopole potential and some other higher order potential on the performance of LIT mass analyzer is investigated. A simple and effective method, which is to add some octopole component by building a LIT with a pair of rectangular electrodes and a pair of semi-circular electrodes, is reported. Its properties were studied by numerical simulations and experiments. The results showed that a certain amount of positive octopole component could be produced by simply adjusting the position and width of the rectangular electrodes. A resolution of over 1200 at m/z 609 (~1600 Da/s) was observed in this type of LIT. They also performed tandem mass spectrometry well. The device with optimum geometry for ion ejection from rectangular electrodes provided comparable performance to that for ion ejection from semi-circular electrodes. This type of LIT design is easy for fabrication and assembly.

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“…The magnitude and the direction of the effect induced by the higher order fields can be determined with the nature of its order being even or odd. It is observed that scalar frequencies decrease when the order of the field is odd (e.g., order = 3 (hexapole)) and the fields with even order (e.g., order = 4 (octopole)) depends on the nonlinear field polarity, and it increases or decreases the scalar frequencies depending on the nonlinearity 35,36 . The introduction of the higher order fields not only impacts the scalar frequencies of ions but also induces nonlinear resonance.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of tempered fractional nonlinear Mathieu type equation model of an ion motion with octopole‐only imperfections

Alzabut

Selvam

Vignesh

et al. 2023

Math Methods in App Sciences

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The development of laser‐based cooling and spectroscopic methods has produced unprecedented growth in the ion trapping industry. Mathieu equation, a differential equation with periodic coefficients, is employed to develop models of ion motions under the influence of fields. Ion traps with octopole field is described with nonlinear Mathieu equation with cubic term. This article aims at considering motion of ions under the electric potential with negative octopole field with damping caused by the collision of the ions with Helium buffer gas modeled with tempered fractional derivative. Schaefer's fixed point theorem and Banach's contraction principle are employed to establish the existence of unique solution for the considered tempered fractional nonlinear Mathieu equation model of an ion motion. Further, the analysis of stability is performed in the sense of Hyers and Ulam. The feasibility of the obtained theoretical results are numerically confirmed for suitable parametric values, and simulations are performed supporting them.

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Approximate multipole coefficients of RF ion traps as functions of aperture size

Cited by 5 publications

References 18 publications

Resonance methods in quadrupole ion traps

Resonance methods in quadrupole ion traps

Linear ion trap with added octopole field component: the property and method

Stability analysis of tempered fractional nonlinear Mathieu type equation model of an ion motion with octopole‐only imperfections

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