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Title: Concept of the effective potential in describing the motion of ions in a quadrupole mass filter

Abstract

We propose a generalization of the effective potential theory for the motion of particles in a rapidly oscillating electric field for the stability parameters lying near the boundary of the diagram where the standard effective potential theory is inapplicable. We derive the dynamic equations describing the variation of the envelope of ion oscillations for the motion of ions near the stability vertex of the first zone of the quadrupole mass filter. We reduce them to the form of the Hamilton equations for oscillations of a material particle in the field of potential forces. We obtain expressions for the effective potential well. It is shown that in spite of the high kinetic energy of oscillations, the depth of the effective potential well for ions in the quadrupole is less than 1 eV in the case of filtration with a mass resolution exceeding 200 units. The acceptance of the mass filter is calculated as a function of the stability parameters and the resolving power.

Authors:
 [1]
  1. Ryazan State Radio Engineering University (Russian Federation)
Publication Date:
OSTI Identifier:
22069370
Resource Type:
Journal Article
Journal Name:
Journal of Experimental and Theoretical Physics
Additional Journal Information:
Journal Volume: 115; Journal Issue: 2; Other Information: Copyright (c) 2012 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ELECTRIC FIELDS; ELECTROMAGNETIC FILTERS; EV RANGE; HAMILTON-JACOBI EQUATIONS; IONS; KINETIC ENERGY; MASS RESOLUTION; OSCILLATIONS; POTENTIALS; STABILITY; VARIATIONS

Citation Formats

Sudakov, M. Yu., E-mail: m.soudakov@gmail.com, and Apatskaya, M V. Concept of the effective potential in describing the motion of ions in a quadrupole mass filter. United States: N. p., 2012. Web. doi:10.1134/S1063776112070175.
Sudakov, M. Yu., E-mail: m.soudakov@gmail.com, & Apatskaya, M V. Concept of the effective potential in describing the motion of ions in a quadrupole mass filter. United States. https://doi.org/10.1134/S1063776112070175
Sudakov, M. Yu., E-mail: m.soudakov@gmail.com, and Apatskaya, M V. 2012. "Concept of the effective potential in describing the motion of ions in a quadrupole mass filter". United States. https://doi.org/10.1134/S1063776112070175.
@article{osti_22069370,
title = {Concept of the effective potential in describing the motion of ions in a quadrupole mass filter},
author = {Sudakov, M. Yu., E-mail: m.soudakov@gmail.com and Apatskaya, M V},
abstractNote = {We propose a generalization of the effective potential theory for the motion of particles in a rapidly oscillating electric field for the stability parameters lying near the boundary of the diagram where the standard effective potential theory is inapplicable. We derive the dynamic equations describing the variation of the envelope of ion oscillations for the motion of ions near the stability vertex of the first zone of the quadrupole mass filter. We reduce them to the form of the Hamilton equations for oscillations of a material particle in the field of potential forces. We obtain expressions for the effective potential well. It is shown that in spite of the high kinetic energy of oscillations, the depth of the effective potential well for ions in the quadrupole is less than 1 eV in the case of filtration with a mass resolution exceeding 200 units. The acceptance of the mass filter is calculated as a function of the stability parameters and the resolving power.},
doi = {10.1134/S1063776112070175},
url = {https://www.osti.gov/biblio/22069370}, journal = {Journal of Experimental and Theoretical Physics},
issn = {1063-7761},
number = 2,
volume = 115,
place = {United States},
year = {Wed Aug 15 00:00:00 EDT 2012},
month = {Wed Aug 15 00:00:00 EDT 2012}
}