Numerical method for stability region in quadrupole at low vacuum

Peihe Jiang; Zhanfeng Zhao; Huanwen Chen; Zhiquan Zhou

doi:10.11918/j.issn.0367-6234.201604135

Numerical method for stability region in quadrupole at low vacuum

Peihe Jiang
, Zhanfeng Zhao
, Huanwen Chen
, Zhiquan Zhou^*

^*Corresponding author for this work

School of Electronics and Information Engineering, Harbin Institute of Technology
School of Information Science and Engineering, Harbin Institute of Technology Weihai
East China University of Technology

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In order to achieve the mass spectrum at low vacuum, the equation of ion motion with resistance is derived. Pressure effects are treated by adding a drag term to the Mathieu function which is calculated based on fifth-order Runge-Kutta in MATLAB. The effects of gas pressure on stability regions and ion motion are described. A numerical method for getting stability regions is proposed. The first, the second and the higher stability regions in the presence of the damping force are given. The results show that the damping force caused by gas pressure enlarges the stability regions. The initially separate stability zones merge together for higher pressure. In low vacuum conditions, mass analysis can be performed by altering operation mode. The pressure effects can be reduced by increasing the frequency.

Original language	English
Pages (from-to)	31-35
Number of pages	5
Journal	Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology
Volume	49
Issue number	5
DOIs	https://doi.org/10.11918/j.issn.0367-6234.201604135
State	Published - 30 May 2017
Externally published	Yes

Keywords

Mass analysis at low vacuum
Mathieu function
Quadrupole
Runge-Kutta
Stability region

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10.11918/j.issn.0367-6234.201604135

Cite this

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title = "Numerical method for stability region in quadrupole at low vacuum",

abstract = "In order to achieve the mass spectrum at low vacuum, the equation of ion motion with resistance is derived. Pressure effects are treated by adding a drag term to the Mathieu function which is calculated based on fifth-order Runge-Kutta in MATLAB. The effects of gas pressure on stability regions and ion motion are described. A numerical method for getting stability regions is proposed. The first, the second and the higher stability regions in the presence of the damping force are given. The results show that the damping force caused by gas pressure enlarges the stability regions. The initially separate stability zones merge together for higher pressure. In low vacuum conditions, mass analysis can be performed by altering operation mode. The pressure effects can be reduced by increasing the frequency.",

keywords = "Mass analysis at low vacuum, Mathieu function, Quadrupole, Runge-Kutta, Stability region",

author = "Peihe Jiang and Zhanfeng Zhao and Huanwen Chen and Zhiquan Zhou",

year = "2017",

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doi = "10.11918/j.issn.0367-6234.201604135",

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}

TY - JOUR

T1 - Numerical method for stability region in quadrupole at low vacuum

AU - Jiang, Peihe

AU - Zhao, Zhanfeng

AU - Chen, Huanwen

AU - Zhou, Zhiquan

PY - 2017/5/30

Y1 - 2017/5/30

N2 - In order to achieve the mass spectrum at low vacuum, the equation of ion motion with resistance is derived. Pressure effects are treated by adding a drag term to the Mathieu function which is calculated based on fifth-order Runge-Kutta in MATLAB. The effects of gas pressure on stability regions and ion motion are described. A numerical method for getting stability regions is proposed. The first, the second and the higher stability regions in the presence of the damping force are given. The results show that the damping force caused by gas pressure enlarges the stability regions. The initially separate stability zones merge together for higher pressure. In low vacuum conditions, mass analysis can be performed by altering operation mode. The pressure effects can be reduced by increasing the frequency.

AB - In order to achieve the mass spectrum at low vacuum, the equation of ion motion with resistance is derived. Pressure effects are treated by adding a drag term to the Mathieu function which is calculated based on fifth-order Runge-Kutta in MATLAB. The effects of gas pressure on stability regions and ion motion are described. A numerical method for getting stability regions is proposed. The first, the second and the higher stability regions in the presence of the damping force are given. The results show that the damping force caused by gas pressure enlarges the stability regions. The initially separate stability zones merge together for higher pressure. In low vacuum conditions, mass analysis can be performed by altering operation mode. The pressure effects can be reduced by increasing the frequency.

KW - Mass analysis at low vacuum

KW - Mathieu function

KW - Quadrupole

KW - Runge-Kutta

KW - Stability region

UR - https://www.scopus.com/pages/publications/85026243870

U2 - 10.11918/j.issn.0367-6234.201604135

DO - 10.11918/j.issn.0367-6234.201604135

M3 - 文章

AN - SCOPUS:85026243870

SN - 0367-6234

VL - 49

SP - 31

EP - 35

JO - Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology

JF - Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology

IS - 5

ER -

Numerical method for stability region in quadrupole at low vacuum

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Keywords

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