Article ID Journal Published Year Pages File Type
1193529 International Journal of Mass Spectrometry 2010 4 Pages PDF
Abstract

In this paper the homotopy perturbation method is used for calculation of axial secular frequencies of a nonlinear ion trap with only hexapole superposition. The motion of the ion in a rapidly oscillating field is transformed to the motion in an effective potential. The equation of ion motion in the effective potential is the equation of an anharmonic oscillator with quadratic nonlinearity. The homotopy perturbation method is used for solving the resulted nonlinear equation and obtaining the expression for ion secular frequency as a function of nonlinear field parameter. The calculated secular frequencies are compared with the results of L.–P. method and the exact results.

Graphical abstractThe secular frequencies of a nonlinear ion trap with only hexapole superposition are calculated by homotopy perturbation method and are compared with the results of Lindstedt–Poincare method and the exact results.Figure optionsDownload full-size imageDownload high-quality image (82 K)Download as PowerPoint slide

Related Topics
Physical Sciences and Engineering Chemistry Analytical Chemistry
Authors
,