Numerical method for stability region in quadrupole at low vacuum

JIANG Peihe; ZHAO Zhanfeng; CHEN Huanwen; ZHOU Zhiquan

doi:10.11918/j.issn.0367-6234.201604135

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Numerical method for stability region in quadrupole at low vacuum

更新时间：2026-10-19

- Numerical method for stability region in quadrupole at low vacuum
- Vol. 49, Issue 5, Pages: 2017-5(2017)
- 作者机构：
  
  1. 哈尔滨工业大学电子与信息工程学院,哈尔滨,150001
  2. 哈尔滨工业大学(威海) 信息与电气工程学院,山东,威海,264209
  3. 东华理工大学江西省质谱科学与仪器重点实验室,南昌,330013
- 作者简介：
- 基金信息：
- DOI：10.11918/j.issn.0367-6234.201604135
  CLC： TH843
- Published：2017
- 稿件说明：
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JIANG Peihe, ZHAO Zhanfeng, CHEN Huanwen, et al. Numerical method for stability region in quadrupole at low vacuum[J]. 2017, 49(5): 2017-5.
DOI：

JIANG Peihe, ZHAO Zhanfeng, CHEN Huanwen, et al. Numerical method for stability region in quadrupole at low vacuum[J]. 2017, 49(5): 2017-5. DOI： 10.11918/j.issn.0367-6234.201604135.

摘要

为实现质谱仪在低真空度下进行质量分析，推导了有阻力条件下的离子运动方程，得到低真空度下有阻尼项的Mathieu方程，利用五阶龙格-库塔数值方法在MATLAB中求解离子在四极杆中的运动特性和不同阻尼条件下的稳定区.提出了利用数值方法确定低真空度下四极杆中离子运动稳定区的方法，给出了第一、第二以及高阶稳定区随阻尼系数k的变化趋势.结果表明：随着真空度的降低，稳定区变大并连接在一起；通过调整离子操作模式，可以完成质量分析；提高扫描频率可以抵消真空度降低所带来的影响.

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.

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