A new impulsional potential for a Paul ion trap

The dynamical behavior of an ion confined in a Paul ion trap supplied with a new periodic impulsional potential in the form as f(t) = V((cos Ωt ⌊ 1 + k cos 2Ωt ⌋)/(1 − k)); 0 ≤ k < 1 (⌊· ⌋ means floor function) is considered and eventually compared to the classical sinusoidal case, k = 0. The new potential presents large zero potential temporal zones and the numerical integration of the Mathieu equation with the help of the fifth-order Runge–Kutta method showed some reduction in the stability diagrams, but for the same β, the properties of the confined ions stayed the same. Also, for given operational parameters such as Ω = 2Π × 1.05 × 106 rad s−1, z0 = 0.783 cm, and rf only mode U = 0 (az = 0), the potential difference Vrf values for m = 1 and m = 2 ions is found to be Vrf = 11 V for k = 0 and Vrf = 130 V for k = 0.9. A larger separation, about 12 times for the impusional voltage compared to the classical sinusoidal which in term means a better mass separations and detection.

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► We study the dynamical behavior of an ion confined in a Paul ion trap supplied with a new periodic impulsional potential form.
► We used fifth order Runge–Kutta method to compute the accurate stability diagrams.
► For given operational parameters such as Ω = 2Π × 1.05 × 106 rad s−1, z0 = 0.783 cm, and rf only mode U = 0 (az = 0), the potential difference Vrf values for m = 1 and m = 2 ions is found to be Vrf = 11 V for k = 0 and Vrf = 130 V for k = 0.9.