Abstract
The ion motion equation in a Paul ion trap known as Mathieu differential equation has been solved for the first time by using Runge–Kutta methods with 4th, 6th, and 8th orders. The first stability regions in az − qz plane and the corresponding qmax values were determined and compared. Also, the first stability regions of \( {}^{20}{\text{Ne}}^{ + } \), \( {}^{40}{\text{Ar}}^{ + } \), \( {}^{80}{\text{Kr}}^{ + } \), \( {}^{131}{\text{Xe}}^{ + } \) ions in the Vdc − Vac plane were drown, and the threshold voltages for the ion separation was investigated.
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Kiyani, A., Abdollahzadeh, M., Sadat Kiai, S.M. et al. Designing of a Quadrupole Paul Ion Trap. J Fusion Energ 30, 291–293 (2011). https://doi.org/10.1007/s10894-010-9369-9
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DOI: https://doi.org/10.1007/s10894-010-9369-9