Science Department, Chatham University, Pittsburgh, PA 15232, USA.
J Am Soc Mass Spectrom. 2012 Nov;23(11):1841-54. doi: 10.1007/s13361-012-0450-7. Epub 2012 Sep 13.
Moment equations for the motion of trace amounts of charged particles through dilute gases are developed from the Boltzmann equation. A new method for truncating the coupled moment equations is used to develop differential equations governing the moments in successive approximations. The first approximation equations are shown to agree completely with equations known to describe ion motion in drift-tube mass spectrometers, ion mobility spectrometers, ion traps, and collision-dominated ion cyclotron resonance experiments. Applications to differential mobility spectrometers and other devices are also described.
从玻尔兹曼方程出发,推导出了用于描述痕量带电粒子在稀薄气体中运动的矩方程。采用了一种新的截断耦合矩方程的方法,以推导出在连续近似中控制矩的微分方程。结果表明,第一近似方程完全符合已知的描述漂移管质谱仪、离子迁移谱仪、离子阱和碰撞主导的离子回旋共振实验中离子运动的方程。还描述了这些方程在微分迁移谱仪和其他设备中的应用。