title: Potential distribution and transmission characteristics in a curved quadrupole ion guide.
abstract: The potential distribution in the curved quadrupole is exactly characterized by the Laplace equation, and an approximate solution to the Laplace equation is calculated. We represent the Laplace equation under the coordinates named minimal rotation frame (MRF) and derive an expression on the hexapole and octopole superposition. Our conclusion is in agreement with the results by the numerical (SIMION) method. Based on the Poincare-Lighthill-Kuo (PLK) method reported in our previous work, the nonlinear effects of ion motion are investigated in detail. The frequency shift of ion motion can be well eliminated by coupling the hexapole component with a positive octopole component, and the transmission efficiency of ions is found to decrease dramatically with the increase of the ionic kinetic energy in the z-direction. Furthermore, the transmission characteristics of ions are discussed with regards to the phase-space theory. The results show that the centrifugally introduced axis shift is mainly responsible for the ion losses. A modified direct current (dc) voltage supply pattern is hence proposed to compensate for this effect.
authors.affiliation: Key Laboratory of Analytical Chemistry for Living Biosystems, Institute of Chemistry Chinese Academy of Sciences, Beijing, China.
authors.forename: Xiaoyu
authors.initials: X
authors.lastname: Zhou
authors.forename: Caiqiao
authors.initials: C
authors.lastname: Xiong
authors.forename: Gaoping
authors.initials: G
authors.lastname: Xu
authors.forename: Hao
authors.initials: H
authors.lastname: Liu
authors.forename: Yin
authors.initials: Y
authors.lastname: Tang
authors.forename: Zhiqiang
authors.initials: Z
authors.lastname: Zhu
authors.forename: Rui
authors.initials: R
authors.lastname: Chen
authors.forename: Haoxue
authors.initials: H
authors.lastname: Qiao
authors.forename: Yao-Hsin
authors.initials: YH
authors.lastname: Tseng
authors.forename: Wen-Ping
authors.initials: WP
authors.lastname: Peng
authors.forename: Zongxiu
authors.initials: Z
authors.lastname: Nie
authors.forename: Yi
authors.initials: Y
authors.lastname: Chen
mesh_terms: D000465:Algorithms; D004574:Electromagnetic Fields; D007477:Ions; D013058:Mass Spectrometry / Q000295:instrumentation*; D008962:Models, Theoretical
chemical_list: D007477:Ions