Waveboard Artifacts Generate Ghost Resonances Consistent with Equations for Predicting Ion Motion in Commercial Quadrupole Ion Traps

Real-time experiments involving fragmentation of the precursor molecular ion of n-butylbenzene ( m/z 134) to produce product ions C7H+7 ( m/z 91) and C7H+8 ( m/z 92), were used to observe the motion of ions in a commercial quadrupole ion trap. Initially, ghost resonance peaks were observed for excitation of the precursor ion at qz values of 0.4 and 0.5 on the qz axis of the stability diagram. Further experiments involving the generation of two-dimensional contour plots confirmed that these ghost peaks, which were in agreement with mathematical equations describing the motion of ions in a quadrupole field, arose due to waveboard artifacts. Two-dimensional contour surface plots showed non-linear secular frequency canyons from a qz value of 0.5 to higher values corresponding with higher drive radio frequency (rf) voltages on the stability diagram. This observation confirmed that ions are subjected to non-linear effects in this mass scan range. The octapole and hexapole field lines were observed at qz values of 0.65 and 0.78, respectively.

Download Full-text

The stretched quadrupole ion trap: Implications for the Mathieuau andqu parameters and experimental mapping of the stability diagram

Rapid Communications in Mass Spectrometry ◽

10.1002/rcm.1290061210 ◽

1992 ◽

Vol 6 (12) ◽

pp. 760-764 ◽

Cited By ~ 17

Author(s):

Jodie V. Johnson ◽

Randall E. Peddeer ◽

Richard A. Yost ◽

R. E. March

Keyword(s):

Ion Trap ◽

Quadrupole Ion Trap ◽

Stability Diagram ◽

The Stability

Download Full-text

Two-Dimensional Tandem Mass Spectrometry in a Single Scan on a Linear Quadrupole Ion Trap

Analytical Chemistry ◽

10.1021/acs.analchem.9b03123 ◽

2019 ◽

Vol 91 (21) ◽

pp. 13752-13762 ◽

Cited By ~ 5

Author(s):

Dalton T. Snyder ◽

Lucas J. Szalwinski ◽

Zachary St. John ◽

R. Graham Cooks

Keyword(s):

Mass Spectrometry ◽

Tandem Mass Spectrometry ◽

Ion Trap ◽

Quadrupole Ion Trap ◽

Tandem Mass ◽

Two Dimensional ◽

Linear Quadrupole Ion Trap

Download Full-text

Applications of the fractional calculus to study the physical theory of ion motion in a quadrupole ion trap

European Journal of Mass Spectrometry ◽

10.1177/1469066717722156 ◽

2017 ◽

Vol 23 (5) ◽

pp. 254-271 ◽

Cited By ~ 1

Author(s):

Sarkhosh S Chaharborj ◽

Abbas Moameni

Keyword(s):

Fractional Calculus ◽

Ion Trap ◽

Three Dimensional ◽

Quadrupole Ion Trap ◽

Stability Diagram ◽

Mass Separation ◽

Damping Force ◽

Ion Motion ◽

The One ◽

Fractional Parameter

In this article, fractional calculus has been applied to study the motion of ions in a three-dimensional radio frequency quadrupole ion trap; we have called this arrangement a fractional quadrupole ion trap. The main purpose of the article is to show that by controlling the fractional parameter of a trapped ion, one can gain a more efficient mass separation. In what follows, we will see that with decreasing the fractional parameter, we can achieve a smaller first stability region. Note that a small stability diagram will result in a good and acceptable mass separation. Various methods can be proposed to obtain a desired ion acceleration with a sufficient accuracy for good mass separation, which is similar to the one obtained by a fractional ion trap. Some of these methods are using the effects of a damping force, a magnetic field or both on the confinement of particles in the quadrupole ion trap. The first stability regions are plotted for all of the aforementioned methods, and simulation results are provided to compare them with those for the fractional case.

Download Full-text

Improving the Computational Efficiency of Stability Prediction in Milling Employing the Two-Dimensional Bisection Method

Volume 4B: Dynamics, Vibration, and Control ◽

10.1115/imece2016-66512 ◽

2016 ◽

Author(s):

Yakun Xie ◽

Xiaojian Zhang ◽

Sijie Yan ◽

Han Ding

Keyword(s):

Computational Efficiency ◽

Computation Time ◽

Stability Diagram ◽

Two Dimensions ◽

Bisection Method ◽

Two Dimensional ◽

Stability Prediction ◽

Stability Calculation ◽

The Stability ◽

Analytical Time

This paper presents an effective method to improve the computational efficiency of stability prediction in milling based on the two-dimensional bisection method. Contrasted with the traditional semi-analytical time-domain methods, the proposed method for stability prediction only checks the eigenvalues of less nodes on the parameter plane with the two-dimensional bisection method, so that, the computational efficiency of stability can be improved. The novel method for milling stability calculation is comprised of the bisection method in two dimensions and the numerical integration method [NIM], its validity is testified by the comparison of the stability diagram and computation time in contrast to the NIM. The computation demonstrates that the calculated stability diagram by using the presented method agrees well with the result of NIM, while the computation time of the stability diagram can reduce to 1/4 to 3/4 compared with the original methods.

Download Full-text

Ion motion in the rectangular wave quadrupole field and digital operation mode of a quadrupole ion trap mass spectrometer

Rapid Communications in Mass Spectrometry ◽

10.1002/rcm.2253 ◽

2005 ◽

Vol 20 (1) ◽

pp. 3-8 ◽

Cited By ~ 36

Author(s):

L. Ding ◽

S. Kumashiro

Keyword(s):

Mass Spectrometer ◽

Ion Trap ◽

Operation Mode ◽

Quadrupole Ion Trap ◽

Quadrupole Field ◽

Ion Motion ◽

Rectangular Wave ◽

Ion Trap Mass Spectrometer

Download Full-text

A two-dimensional quadrupole ion trap mass spectrometer

Journal of the American Society for Mass Spectrometry ◽

10.1016/s1044-0305(02)00384-7 ◽

2002 ◽

Vol 13 (6) ◽

pp. 659-669 ◽

Cited By ~ 493

Author(s):

Jae C. Schwartz ◽

Michael W. Senko ◽

John E. P. Syka

Keyword(s):

Mass Spectrometer ◽

Ion Trap ◽

Quadrupole Ion Trap ◽

Two Dimensional ◽

Ion Trap Mass Spectrometer

Download Full-text

The stability of non-linear non-radial oscillations of the two-dimensional models of rotating stellar systems

Astronomical School’s Report ◽

10.18372/2411-6602.04.1050 ◽

2003 ◽

Vol 4 (1) ◽

pp. 50-57

Author(s):

V.A. Antonov ◽

S.N. Nuritdinov

Keyword(s):

Stellar Systems ◽

Two Dimensional ◽

Non Linear ◽

Dimensional Models ◽

The Stability

Download Full-text

The Stability of a Warped Accretion Disc

Publications of the Astronomical Society of Australia ◽

10.1017/s1323358000024000 ◽

1991 ◽

Vol 9 (2) ◽

pp. 249-250

Author(s):

Colin S. Coleman ◽

Sanjiv Kumar

Keyword(s):

Binary Star ◽

Compact Object ◽

Shear Velocity ◽

Major Effect ◽

Accretion Disc ◽

Surface Boundary ◽

Two Dimensional ◽

Quadrupole Field ◽

Surface Boundary Conditions ◽

The Stability

AbstractAn accretion disc becomes warped when subjected to a torque which is misaligned with the disc plane. Such torques may be caused by Lense-Thirring precession near a spinning compact object, or the quadrupole field of a binary star. Here the flow in an adiabatic warped disc is modelled as a two-dimensional shear layer with linear velocity profile and free surface boundary conditions, and is investigated by means of a linear stability analysis.The flow is found to be unstable whenever it contains a critical layer, i.e., a level at which the shear velocity is equal to the phase velocity. The instability occurs over a broad wavenumber range and has a typical dimensionless growth rate ≈ 0.1 for both the compressible and incompressible cases. These waves grow with a time-scale of about one orbital period, and are likely to have a major effect on the disc viscosity.

Download Full-text