2001
DOI: 10.1016/s1387-3806(00)00452-8
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Determination of analytic potentials from finite element computations

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Cited by 7 publications
(4 citation statements)
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“…In this work we follow the semi‐analytical method proposed years ago by Dawson and Whetton 15. The analytical description of the potential is based on spatial harmonics, as has been widely used in many theoretical studies16–22 of the nature of nonlinear resonances17,, 18 or ion motion in an ion trap with distorted fields 16,. 19,, 20 The potentials for higher multipoles constructed with round rods have been discussed by Boerboom21 and Rama Rao et al 22…”
mentioning
confidence: 99%
“…In this work we follow the semi‐analytical method proposed years ago by Dawson and Whetton 15. The analytical description of the potential is based on spatial harmonics, as has been widely used in many theoretical studies16–22 of the nature of nonlinear resonances17,, 18 or ion motion in an ion trap with distorted fields 16,. 19,, 20 The potentials for higher multipoles constructed with round rods have been discussed by Boerboom21 and Rama Rao et al 22…”
mentioning
confidence: 99%
“…By dividing this slope by 4eqNarN2Ω2 (where q = 0.908), A 2 is found to be equal to 0.884. An alternative approach to estimate A 2 theoretically involves fitting the SIMION-obtained potentials inside the trap to a multipole expansion equation [48, 49] (see section 2 in the Supplementary materials for a detailed description of this method), and with this method we predict A 2 to be 0.866. Experimentally, A 2 is estimated to be 0.867, based on a mass instability scan obtained at room temperature.…”
Section: Resultsmentioning
confidence: 99%
“…They are also complete and unique, with respect to our choice of z = 0. Sometimes the choice of the origin will not be immediately obvious, techniques for finding the point are discussed by Barlow et al, [2] but lie outside the scope of this summary. "Fable I summarizes the even order coefficients for each of these trap geometries.…”
Section: The Multipole Expansionmentioning
confidence: 99%