Geometric Aspects of Optimizing the Acceptance of a Static Mass Analyzer

The axial aberration of the ion-optical system of a static mass analyzer is one of the main factors limiting the transmission and sensitivity of the instrument. We described an algorithm for selecting the optimal collimating system for a mass analyzer, which makes it possible to decrease this aberra...

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Published in:	Journal of analytical chemistry (New York, N.Y.) Vol. 75; no. 14; pp. 1781 - 1789
Main Authors:	Sachenko, V. D., Antonov, A. S., Gall, L. N., Berdnikov, A. S.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01.12.2020 Springer
Subjects:	algorithms Analytical Chemistry Analytical instruments Chemistry Chemistry and Materials Science geometry static mass spectrometers transmission sensitivity acceptance optimization resolution
ISSN:	1061-9348, 1608-3199
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Abstract	The axial aberration of the ion-optical system of a static mass analyzer is one of the main factors limiting the transmission and sensitivity of the instrument. We described an algorithm for selecting the optimal collimating system for a mass analyzer, which makes it possible to decrease this aberration effectively, with minimal loss in the intensity of the mass spectral lines. The algorithm is based on the representation of the considered aberration in the phase space as an ellipse and the optimal approximation of this aberration ellipse by a polygon with a given number of vertices. In the absence of constraints, the solution of the corresponding optimization problems is in phase polygons generated by regular polygons inscribed in a unit circle or circumscribed around a unit circle with the same number of vertices. After that, the unit circle along with the polygons is “stretched” to the size of the specified aberration ellipse along its main axes. Additional freedom of the rotation of the original polygon around the center of the unit circle can be used to position auxiliary slits of the collimating system more conveniently.
AbstractList	The axial aberration of the ion-optical system of a static mass analyzer is one of the main factors limiting the transmission and sensitivity of the instrument. We described an algorithm for selecting the optimal collimating system for a mass analyzer, which makes it possible to decrease this aberration effectively, with minimal loss in the intensity of the mass spectral lines. The algorithm is based on the representation of the considered aberration in the phase space as an ellipse and the optimal approximation of this aberration ellipse by a polygon with a given number of vertices. In the absence of constraints, the solution of the corresponding optimization problems is in phase polygons generated by regular polygons inscribed in a unit circle or circumscribed around a unit circle with the same number of vertices. After that, the unit circle along with the polygons is “stretched” to the size of the specified aberration ellipse along its main axes. Additional freedom of the rotation of the original polygon around the center of the unit circle can be used to position auxiliary slits of the collimating system more conveniently.
Audience	Academic
Author	Gall, L. N. Berdnikov, A. S. Antonov, A. S. Sachenko, V. D.
Author_xml	– sequence: 1 givenname: V. D. surname: Sachenko fullname: Sachenko, V. D. email: v.sachenko@mail.ru organization: Institute for Analytical Instrumentation, Russian Academy of Sciences – sequence: 2 givenname: A. S. surname: Antonov fullname: Antonov, A. S. organization: Ioffe Institute, Russian Academy of Sciences – sequence: 3 givenname: L. N. surname: Gall fullname: Gall, L. N. organization: Institute for Analytical Instrumentation, Russian Academy of Sciences – sequence: 4 givenname: A. S. surname: Berdnikov fullname: Berdnikov, A. S. organization: Institute for Analytical Instrumentation, Russian Academy of Sciences
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Copyright	Pleiades Publishing, Ltd. 2020. ISSN 1061-9348, Journal of Analytical Chemistry, 2020, Vol. 75, No. 14, pp. 1781–1789. © Pleiades Publishing, Ltd., 2020. Russian Text © The Author(s), 2020, published in Mass-spektrometriya, 2020, Vol. 17, No. 1, pp. 16–25. COPYRIGHT 2020 Springer
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Title	Geometric Aspects of Optimizing the Acceptance of a Static Mass Analyzer
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