Probability distributions in quadrupole ion traps

Neugebauer T, Drewello T (2021)


Publication Type: Journal article

Publication year: 2021

Journal

Book Volume: 468

Article Number: 116641

DOI: 10.1016/j.ijms.2021.116641

Abstract

The solution to Mathieu's equation was modified and combined to only one single sine function. In this form, the cumulative probability functions for a fixed RF-phase can be determined as arcsine distributions. The probability of a normalized position u/umax or normalized velocity u˙/u˙max is relative to 1/1−(u/umax)2, u˙/u˙max respectively. This corrects reference descriptions present in the literature, which stated the probability to be proportional to 1−(u/umax)2. Resulting probability plots show that ions that are heavy on the relative mass scale of quadrupole ion traps, are more likely to be found close to the maximum of their oscillation amplitude. Light ions are more likely to be found at the center of their oscillation. The velocity distributions show that the likeliest velocity converges for low q-values to the mean-square velocity but splits into two likely velocity regions with increasing q-value. It is further emphasized, that these distributions describe the probability of a single ion and in order to describe the behavior of an ensemble of ions, it is inevitably needed to define a distribution of oscillation amplitudes umax.

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How to cite

APA:

Neugebauer, T., & Drewello, T. (2021). Probability distributions in quadrupole ion traps. International Journal of Mass Spectrometry, 468. https://doi.org/10.1016/j.ijms.2021.116641

MLA:

Neugebauer, Thomas, and Thomas Drewello. "Probability distributions in quadrupole ion traps." International Journal of Mass Spectrometry 468 (2021).

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