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Transition curves and iso-beta(u) lines in nonlinear Paul traps

Sevugarajan, S and Menon, AG (2002) Transition curves and iso-beta(u) lines in nonlinear Paul traps. In: International Journal of Mass Spectrometry, 218 (2). pp. 181-196.

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Abstract

This paper has the motivation to understand the role of field inhomogeneties in altering stability boundaries in nonlinear Paul traps mass spectrometers. With the inclusion of higher order terms in the equation of motion, the governing equation takes the form of a nonlinear Mathieu equation. The harmonic balance technique has been used to obtain periodic solutions which represents the transition curves, beta(u) = 0 and beta(u) = 1. A continuous fraction expression, similar in form to the linear case, has also been derived to plot iso-beta(u) lines within the stability region. The expression qualitatively reflects experimental observations in literature related to ion stabilities in nonlinear traps. The role of hexapole and octopole superposition in shifting the stable region as well as ion secular frequencies in nonlinear Paul traps has been discussed using the analytical expression derived in this paper.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Elsevier Science.
Keywords: Nonlinear Paul traps;Nonlinear Mathieu equation;Harmonic balance method;Transition curves and iso-βu line.
Department/Centre: Division of Physical & Mathematical Sciences > Instrumentation and Applied Physics (Formally ISU)
Date Deposited: 20 Nov 2009 08:16
Last Modified: 19 Sep 2010 05:01
URI: http://eprints.iisc.ernet.in/id/eprint/18341

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