Edge Matrices of Magnetic Sector in a Static Mass Spectrometer

The first-order input and output edge transfer matrix elements of the magnetic sector in a static mass spectrometer are derived based on the conservation law of the generalized momentum of ions in a magnetic field. The structure of the edge matrix is shown to be ambiguous and dependent on the effect...

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Published in:Journal of analytical chemistry (New York, N.Y.) Vol. 78; no. 13; pp. 1856 - 1863
Main Authors: Sachenko, V. D., Antonov, A. S.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01.12.2023
Springer
Springer Nature B.V
Subjects:
Algorithms
Analytical Chemistry
Asymptotic series
Charged particles
Chemistry
Chemistry and Materials Science
Conservation laws
Geometry
Ion beams
Ion trajectories
Magnetic fields
Magnetic sectors
Mass spectrometers
momentum
Optical properties
spectrometers
Transfer matrices
Russia
edge magnetic fields
transfer matrix
effective model
mass analyzers
static mass spectrometer
ion-optical axis
edge fields
static mass analyzer
ISSN:1061-9348, 1608-3199
Online Access:Get full text
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Abstract The first-order input and output edge transfer matrix elements of the magnetic sector in a static mass spectrometer are derived based on the conservation law of the generalized momentum of ions in a magnetic field. The structure of the edge matrix is shown to be ambiguous and dependent on the effective model, which considers the displacement of ion trajectories in the edge field. A comparison of the results obtained with traditional methods, such as expanding the edge field components and trajectory equations into asymptotic series and integrating successive approximations, reveals significant differences in the first-order edge matrix elements in the effective model of the magnetic sector, where the ideal uniform field is bounded by Herzog boundaries, compared to the published data. Algorithms for matching the input and output axes of the magnetic sector, taking into account the action of the edge fields, are given.
AbstractList The first-order input and output edge transfer matrix elements of the magnetic sector in a static mass spectrometer are derived based on the conservation law of the generalized momentum of ions in a magnetic field. The structure of the edge matrix is shown to be ambiguous and dependent on the effective model, which considers the displacement of ion trajectories in the edge field. A comparison of the results obtained with traditional methods, such as expanding the edge field components and trajectory equations into asymptotic series and integrating successive approximations, reveals significant differences in the first-order edge matrix elements in the effective model of the magnetic sector, where the ideal uniform field is bounded by Herzog boundaries, compared to the published data. Algorithms for matching the input and output axes of the magnetic sector, taking into account the action of the edge fields, are given.
Audience Academic
Author Antonov, A. S.
Sachenko, V. D.
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  givenname: A. S.
  surname: Antonov
  fullname: Antonov, A. S.
  organization: Ioffe Institute, Russian Academy of Sciences
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Cites_doi 10.1103/PhysRev.51.67
10.1016/0029-554X(67)90229-7
10.1134/S1061934822130068
10.1063/1.1718851
10.1016/0029-554X(70)90582-3
10.1134/S1061934821130128
10.1016/0020-7381(71)85015-5
10.1007/BF01341392
10.1515/zna-1957-0206
10.1515/zna-1955-1116
10.1103/PhysRev.45.513
10.1016/0029-554X(70)90097-2
10.1016/0020-7381(71)85016-7
10.1007/BF01341317
10.1063/1.37817
ContentType Journal Article
Copyright Pleiades Publishing, Ltd. 2023. ISSN 1061-9348, Journal of Analytical Chemistry, 2023, Vol. 78, No. 13, pp. 1856–1863. © Pleiades Publishing, Ltd., 2023. Russian Text © The Author(s), 2022, published in Mass-spektrometriya, 2022, Vol. 19, No. 1, pp. 49–57.
COPYRIGHT 2023 Springer
Pleiades Publishing, Ltd. 2023.
Copyright_xml – notice: Pleiades Publishing, Ltd. 2023. ISSN 1061-9348, Journal of Analytical Chemistry, 2023, Vol. 78, No. 13, pp. 1856–1863. © Pleiades Publishing, Ltd., 2023. Russian Text © The Author(s), 2022, published in Mass-spektrometriya, 2022, Vol. 19, No. 1, pp. 49–57.
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Issue 13
Keywords edge magnetic fields
transfer matrix
effective model
mass analyzers
static mass spectrometer
ion-optical axis
edge fields
static mass analyzer
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Snippet The first-order input and output edge transfer matrix elements of the magnetic sector in a static mass spectrometer are derived based on the conservation law...
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SubjectTerms Algorithms
Analytical Chemistry
Asymptotic series
Charged particles
Chemistry
Chemistry and Materials Science
Conservation laws
Geometry
Ion beams
Ion trajectories
Magnetic fields
Magnetic sectors
Mass spectrometers
momentum
Optical properties
spectrometers
Transfer matrices
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Title Edge Matrices of Magnetic Sector in a Static Mass Spectrometer
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