扇形重叠场中三级离子轨迹理论(Ⅰ)——轨迹计算和矩阵表示

本文阐述了扇形重叠场中三级离子轨迹的计算,得出了环形电场与非均匀磁场正交配置构成的重叠场中径向三级离子轨迹及其斜率的公式,本文的结果是对文献上已有结果的概括和推广,因而具有普遍性,但计算中没有考虑边缘场效应和倾斜出入射的情况。 关键词：

ION OPTICAL THEORY FOR THE THIRD ORDER TRAJECTORY IN A CROSSED TOROIDAL ELECTRIC AND INHOMOGENEOUS MAGNETIC FIELD (I)——CALCULATION OF TRAJECTORY AND MATRIX FORMALISM

In this part, the third order radial ion trajectory and the second order axial ion trajectory for a crossed toroidal electric and inhomogeneous magnetic field are studied. The formulae for the third order trajectory and slope are derived, which cover most cases of sector fields and in special cases agree with those already presented by previous authors. Therefore, these results are general and may be of use in designing mass spectrometers. The effects of oblique entrance and exit, curved field boundary and fringing field have not been studied yet.