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Journal of Analytical Chemistry

, Volume 73, Issue 14, pp 1301–1316 | Cite as

Synthesis of Fringing Magnetic Fields for Static Mass Analyzers of the Spectrographic Type

  • A. S. BerdnikovEmail author
  • L. N. Gall
  • A. S. Antonov
  • K. V. Soloviev
ARTICLES
  • 28 Downloads

Abstract

Static mass analyzers offer a unique potential opportunity to achieve 100% utilization of ions generated by a continuously operating ion source. However, to achieve this, it is necessary for the mass analyzer to operate in the spectrographic mode rather than in the spectrometric mode. It is known that the conventional Mattauch–Herzog scheme may operate in the spectrographic mode with double focusing (by both angle and energy) along the straight focal line but only in the first order. The usage of more complex optical solutions is prevented by the fringing fields of static magnets, which destroy the exact spectrographic mode of the instrument operation. It is shown in the presented study that by using the principle of the similarity of trajectories in Euler-homogeneous fields one can purposefully synthesize asymmetric fringing magnetic fields of a particular type, which keep the spectrographic mode and the straightness of the focus line for static mass analyzers. Such fringing fields and the corresponding fringing configurations of magnetic poles and screens can become a basis for static mass spectrographs of a new type with high optical characteristics.

Keywords:

static mass analyzers, magnetic fields, fringing fields fields homogeneous in Euler’s terms principle of the similarity of trajectories 

Notes

ACKNOWLEDGMENTS

Preliminary results of this study were reported at the VII All-Russian Conference “Mass Spectrometry and Its Applied Problems” [102]; the authors express their sincere gratitude to its organizing committee and program committee. Discussion and questions of the conference participants led to the improvement of the presentation of this material and significantly improved the mathematical content of the theory of the Eulerian fringing fields, which is presented in this article.

Some authors are grateful to Prof. L.N. Gall’ for her confidence in the perspectiveness of new schemes of static mass analyzers under current conditions and moral support for our research in this direction, as well as numerous practical consultations. The authors are grateful to M.L. Khrushcheva, the Secretary of Russian Society for Mass Spectrometry from 2003 till 2017, for her friendly and informal help for many years in carrying out our publications through the conveyor of the Mass-Spektrometria editorial process.

The authors are deeply grateful to the creators, collaborators, and sponsors of the Proceedings of the Royal Society of London website [103], whose work, in particular, enabled us to get an open access to the unique references [75, 76]. The authors are grateful to V.D. Belenkov, the editor of Nauchnoe priborostroenie (Scientific Instrumentation), for the open access publishing of unique archival issues of this journal [104], which helped us to verify and expand the list of references for this article.

Wolfram Mathematica (ver. 11) [105] was used to produce calculations and figures. Graphics editor Paint.NET (ver. 4) [106] was used for final manual editing the figures.

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Copyright information

© Pleiades Publishing, Inc. 2018

Authors and Affiliations

  • A. S. Berdnikov
    • 1
    Email author
  • L. N. Gall
    • 1
  • A. S. Antonov
    • 1
    • 2
  • K. V. Soloviev
    • 3
  1. 1.Institute for Analytical Instrumentation, Russian Academy of SciencesSt. PetersburgRussia
  2. 2.Ioffe Institute, Russian Academy of SciencesSt. PetersburgRussia
  3. 3.St. Petersburg State Polytechnic UniversitySt. PetersburgRussia

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