title: Ð¤Ð°ÐºÑÐ¾Ñ ÑÐ¾ÑÐ½Ð¾ÑÑÐ¸ ÑÐ°ÑÑÐµÑÐ° Ð¿Ð¾Ð»Ñ Ð¿ÑÐ¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ð¸ ÑÐ»ÐµÐºÑÑÐ¾ÑÑÐ°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¸Ð¾Ð½Ð½Ð¾Ð¹ Ð»Ð¾Ð²ÑÑÐºÐ¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Accuracy factor for calculating the field when simulating an electrostatic ion trap
Creators: name: Ð¢ÐºÐ°Ñ, ÐÐ³Ð¾Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2020
Subjects: Ð¸Ð´ÐµÐ°Ð»ÑÐ½Ð°Ñ Ð²ÑÐµÐ¼Ñ Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²ÐµÐ½Ð½Ð°Ñ ÑÐ¾ÐºÑÑÐ¸ÑÐ¾Ð²ÐºÐ°
ÑÐ»ÐµÐºÑÑÐ¾ÑÑÐ°ÑÐ¸ÑÐµÑÐºÐ°Ñ Ð¸Ð¾Ð½Ð½Ð°Ñ Ð»Ð¾Ð²ÑÑÐºÐ°
Ð¼ÐµÑÐ¾Ð´ ÐºÐ¾Ð½ÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð²
ÑÑÐ°ÐµÐºÑÐ¾ÑÐ¸Ð¸ ÑÐ°ÑÑÐ¸Ñ
comsol multiphysics
perfect time spatial focusing
electrostatic ion trap
method of finite elements
particle trajectory

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¿Ð¾Ð»Ñ Ð² Ð¾ÑÐµÑÐ¸Ð¼Ð¼ÐµÑÑÐ¸ÑÐ½Ð¾Ð¹ Ð¸Ð¾Ð½Ð½Ð¾Ð¹ Ð»Ð¾Ð²ÑÑÐºÐµ Ð¸ Ð°Ð½Ð°Ð»Ð¸Ð·Ñ ÑÑÐ°ÐµÐºÑÐ¾ÑÐ¸Ð¸ ÑÐ°ÑÑÐ¸Ñ Ð² Ð½ÐµÐ¹. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ ÐºÐ¾Ð¼Ð¿ÑÑÑÐµÑÐ½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¾ÑÐµÑÐ¸Ð¼Ð¼ÐµÑÑÐ¸ÑÐ½Ð¾Ð¹ Ð¸Ð¾Ð½Ð½Ð¾Ð¹ Ð»Ð¾Ð²ÑÑÐºÐ¸. 2. ÐÐ½Ð°Ð»Ð¸Ð· ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¿Ð¾ÑÐµÐ½ÑÐ¸Ð°Ð»Ð¾Ð² Ð² 2D,3D Ð¸ Ð¾ÑÐµÑÐ¸Ð¼Ð¼ÐµÑÑÐ¸ÑÐ½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸. 3. ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ ÑÑÐ°ÐµÐºÑÐ¾ÑÐ¸Ð¹ Ð·Ð°ÑÑÐ¶ÐµÐ½Ð½ÑÑ ÑÐ°ÑÑÐ¸Ñ Ð² 3D Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐ»ÐµÐºÑÑÐ¾ÑÑÐ°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¸Ð¾Ð½Ð½Ð¾Ð¹ Ð»Ð¾Ð²ÑÑÐºÐ¸. 4. Ð¡ÑÐ°Ð²Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÑÐ°ÐµÐºÑÐ¾ÑÐ¸Ð¹ ÑÐ°ÑÑÐ¸Ñ Ñ ÑÐµÐ¾ÑÐ¸ÐµÐ¹. Ð Ð°Ð±Ð¾ÑÐ° Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¸. ÐÑÐ»Ð¸ Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ñ Ð»Ð¸ÑÐµÑÐ°ÑÑÑÐ½ÑÐµ Ð¸ÑÑÐ¾ÑÐ½Ð¸ÐºÐ¸, ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÑÑÐ¸Ðµ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐ¸ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¿Ð¾ÑÐµÐ½ÑÐ¸Ð°Ð»Ð° Ð² Ð¾ÑÐµÑÐ¸Ð¼Ð¼ÐµÑÑÐ¸ÑÐ½Ð¾Ð¹ Ð¸Ð¾Ð½Ð½Ð¾Ð¹ Ð»Ð¾Ð²ÑÑÐºÐµ Ð¸ Ð´Ð²Ð¸Ð¶ÐµÐ½Ð¸Ñ Ð·Ð°ÑÑÐ¶ÐµÐ½Ð½ÑÑ ÑÐ°ÑÑÐ¸Ñ. ÐÐ½Ð°Ð»Ð¸Ð· Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ñ COMSOL MULTIPHYSICS, Ð¿ÑÐµÐ´ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÑÑÐµÐ³Ð¾ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÑ ÑÐµÑÐµÐ½Ð¸Ñ ÑÐ¸ÑÑÐµÐ¼ Ð´Ð¸ÑÑÐµÑÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½ÑÑ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¹ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ ÐºÐ¾Ð½ÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð², Ð° ÑÐ°ÐºÐ¶Ðµ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÑ Ð³ÑÐ°ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¾ÑÐ¾Ð±ÑÐ°Ð¶ÐµÐ½Ð¸Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð². Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ»Ð¸ ÑÐ´ÐµÐ»Ð°Ð½Ñ ÐºÐ¾Ð¼Ð¿ÑÑÑÐµÑÐ½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð´Ð»Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÑÐ¸ÑÑÐµÐ¼ ÐºÐ¾Ð¾ÑÐ´Ð¸Ð½Ð°Ñ, Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑÐ¸Ðµ Ð¾ÑÐµÐ½Ð¸ÑÑ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¿Ð¾ÑÐµÐ½ÑÐ¸Ð°Ð»Ð¾Ð² Ð² Ð½Ð¸Ñ. Ð¢Ð°ÐºÐ¶Ðµ Ð´Ð»Ñ 3D Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð±ÑÐ»Ð° Ð¾ÑÑÑÐµÑÑÐ²Ð»ÐµÐ½Ð° ÑÑÐ°ÑÑÐ¸ÑÐ¾Ð²ÐºÐ° ÑÐ°ÑÑÐ¸Ñ Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐ¼Ð¸ Ð½Ð°ÑÐ°Ð»ÑÐ½ÑÐ¼Ð¸ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ°Ð¼Ð¸ Ð¸ Ð¸Ñ ÑÑÐ°Ð²Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð·. ÐÑÐ¸Ð²ÐµÐ´ÐµÐ½Ñ ÑÐ¿Ð¾ÑÐ¾Ð±Ñ Ð¿Ð¾Ð²ÑÑÐµÐ½Ð¸Ñ ÑÐ¾ÑÐ½Ð¾ÑÑÐ¸ ÑÐ°ÑÑÐµÑÐ¾Ð². ÐÐ° Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð¸Ð¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð½ÑÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹ ÑÐ´ÐµÐ»Ð°Ð½Ñ Ð²ÑÐ²Ð¾Ð´Ñ Ð¾Ð± Ð´Ð°Ð»ÑÐ½ÐµÐ¹ÑÐµÐ¼ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ð¸ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ñ COMSOL MULTIPHYSICS Ð´Ð»Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð·Ð°Ð´Ð°Ñ Ð¼Ð°ÑÑ-ÑÐ¿ÐµÐºÑÑÐ¾Ð¼ÐµÑÑÐ¸Ð¸.
description: This work is devoted to the study of the field distribution in an axisymmetric ion trap and the analysis of the particle trajectory in it Tasks that were solved during the study: 1. Construction of a computer model of an axisymmetric ion trap. 2. Analysis of the distribution of potentials in 2D, 3D and axisymmetric models. 3. Construction of trajectories of charged particles in a 3D model of an elec-trostatic ion trap. 4. A comparative analysis of the obtained analytical particle trajectories with theory. The work was carried out analytically. Literature sources were analyzed that examined the features of the potential distribution in an axisymmetric ion trap and the motion of charged particles. The analysis was carried out by mathematical modeling using COMSOL MULTIPHYSICS software, which provides the possibility of solving systems of differential equations by the finite element method, as well as the ability to graphically display the results. As a result, computer models were made for various coordinate systems, al-lowing one to estimate the potential distributions in them. Also, for the 3D mod-el, particles were traced with various initial parameters and their comparative analysis. Methods for increasing the accuracy of calculations are given. Based on the studies, conclusions are drawn about the further use of the COMSOL MULTIPHYSICS software for modeling various mass spectrometry problems.