Chaharborj Sarkhosh S, Moameni Abbas
1 School of Mathematics and Statistics, Carleton University, Ottawa, Canada.
2 Department of Mathematics, Islamic Azad University, Bushehr, Iran.
Eur J Mass Spectrom (Chichester). 2017 Oct;23(5):254-271. doi: 10.1177/1469066717722156. Epub 2017 Jul 26.
In this article, fractional calculus has been applied to study the motion of ions in a three-dimensional radio frequency quadrupole ion trap; we have called this arrangement a fractional quadrupole ion trap. The main purpose of the article is to show that by controlling the fractional parameter of a trapped ion, one can gain a more efficient mass separation. In what follows, we will see that with decreasing the fractional parameter, we can achieve a smaller first stability region. Note that a small stability diagram will result in a good and acceptable mass separation. Various methods can be proposed to obtain a desired ion acceleration with a sufficient accuracy for good mass separation, which is similar to the one obtained by a fractional ion trap. Some of these methods are using the effects of a damping force, a magnetic field or both on the confinement of particles in the quadrupole ion trap. The first stability regions are plotted for all of the aforementioned methods, and simulation results are provided to compare them with those for the fractional case.
在本文中，分数阶微积分已被应用于研究三维射频四极离子阱中离子的运动；我们将这种装置称为分数阶四极离子阱。本文的主要目的是表明，通过控制被俘获离子的分数参数，可以实现更高效的质量分离。在接下来的内容中，我们将看到随着分数参数的减小，可以获得更小的第一稳定区域。请注意，较小的稳定图将导致良好且可接受的质量分离。可以提出各种方法来以足够的精度获得所需的离子加速，以实现良好的质量分离，这与分数阶离子阱所获得的情况类似。其中一些方法是利用阻尼力、磁场或两者对四极离子阱中粒子约束的影响。针对上述所有方法绘制了第一稳定区域，并提供了模拟结果以与分数阶情况的结果进行比较。
