Model calculation of amplitudes for FT-ICR ion detection in a cylindrical Penning trap

Kretzschmar, Martin

doi:10.1007/s00340-012-4905-0

Cited by 5 publications

(5 citation statements)

References 24 publications

(37 reference statements)

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Section: Fourier Transform Ion Cyclotron Resonance Msmentioning

confidence: 99%

“…Theoretical investigations by Kretzschmar contribute for example to the understanding of the frequency shifts due to space charge and to a model of signal intensities, including explanation of sidebands in a cylindrical ICR cell. 63,64 For high precision physical measurements it may be important to reach a near-ideal Penning (ie, quadrupolar) potential, despite other limitations on the geometry. For example, a Gabrielse-type 65 Penning trap is further optimized for laser beam access and used with FT-ICR detection for fragmentation analysis.…”

Section: Icr Cellsmentioning

confidence: 99%

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Ion traps in modern mass spectrometry

Nolting

Malek

Makarov

2017

Mass Spectrometry Reviews

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This review is devoted to trapping mass spectrometry wherein ions are confined by electromagnetic fields for prolonged periods of time within limited volume, with mass measurement taking place within the same volume. Three major types of trapping mass spectrometers are discussed, specifically radiofrequency ion trap, Fourier transform ion cyclotron resonance and Orbitrap. While these three branches are intricately interwoven with each other over their recent history, they also differ greatly in their fundamentals, roots and historical origin. This diversity is reflected also in the difference of viewpoints from which each of these directions is addressed in this review. Following the theme of the issue, we focus on developments mainly associated with the country of Germany but, at the same time, we use this review as an illustration of the rapidly increasing globalization of science and expanding multi-national collaborations.

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Section: Fourier Transform Ion Cyclotron Resonance Msmentioning

confidence: 99%

Section: Icr Cellsmentioning

confidence: 99%

Ion traps in modern mass spectrometry

Nolting

Malek

Makarov

2017

Mass Spectrometry Reviews

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“…Possible signals are expected for each frequency combination n + ν + + n − ν − + n z ν z (n i positive or negative integer or 0). Using the computational method proposed by Grosshans et al [27] it can be shown that the Fourier coefficient belonging to n + ν + + n − ν − is proportional to (R + /a) n + (R − /a) n − (up to small corrections of order (R ± /a) 2 ), where a denotes the radius of the cylindrical trap [28]. Thus, in leading order the Fourier amplitude for the signal at the modified cyclotron frequency ν + is proportional to R + .…”

Section: Amplitudes Of Ft-icr Signalsmentioning

confidence: 99%

One- and two-pulse quadrupolar excitation schemes of the ion motion in a Penning trap investigated with FT-ICR detection

et al. 2012

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In a Penning ion trap the interconversion between the radial motional modes of stored particles can be accomplished by applying one- and two-pulse (Ramsey) azimuthal quadrupolar radio frequency fields. In this work the interaction of ions with the excitation fields has been probed by Fourier transform ion cyclotron resonance (FT-ICR) detection. A theoretical description of this interaction is derived by use of a quasi-classical coherent state and the interconversion of modes is interpreted in a quantum-mechanical context. The dipolar-detection FT-ICR signal at the modified cyclotron frequency has been studied as a function of the interaction parameters such as excitation frequency, amplitude and duration and is compared with the theoretical results

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“…The trapped ion induces oscillating image charges on the surrounding trap electrodes. While these induced image charges are essential for the detection of the ion's oscillation frequencies [19][20][21][22], they cause a systematic shift to the ion's frequencies by generating an undesired electrostatic field E image , which acts back on the ion and slightly shifts the ion's eigenfrequencies; see Fig. 2.…”

Section: Image Charge Shiftmentioning

confidence: 99%

Image charge shift in high-precision Penning traps

et al. 2019

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An ion in a Penning trap induces image charges on the surfaces of the trap electrodes. These induced image charges are used to detect the ion's motional frequencies, but they also create an additional electric field, which shifts the free-space cyclotron frequency typically at a relative level of several 10 −11. In various high-precision Penning-trap experiments, systematics and their uncertainties are dominated by this so-called image charge shift (ICS). The ICS is investigated in this work by a finite-element simulation and by a dedicated measurement technique. Theoretical and experimental results are in excellent agreement. The measurement is using singly stored ions alternately measured in the same Penning trap. For the determination of the ion's magnetron frequency with relative precision of better than 10 parts per billion, a Ramsey-like technique has been developed. In addition, numerical calculations are carried out for other Penning traps and agree with older ICS measurements.

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Model calculation of amplitudes for FT-ICR ion detection in a cylindrical Penning trap

Cited by 5 publications

References 24 publications

Ion traps in modern mass spectrometry

Ion traps in modern mass spectrometry

One- and two-pulse quadrupolar excitation schemes of the ion motion in a Penning trap investigated with FT-ICR detection

Image charge shift in high-precision Penning traps

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