The cylindrical ion trap. Part I. General introduction

Bonner, Ron; Fulford, J.E.; March, Raymond E.; Hamilton, G.F.

doi:10.1016/0020-7381(77)80034-x

Cited by 80 publications

(42 citation statements)

References 14 publications

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“…From Equation (13) with Equation (19) and Equation (20), respectively we have, the corrector formulae of the three point one block method as follow:…”

Section: Implementation Of Block Methods In Cylindrical Ion Trap Motiomentioning

confidence: 99%

“…In cylindrical ion trap (CIT), the hyperbolic ring electrode [18], as in Paul ion trap, is replaced by a simple cylinder and the two hyperbolic end-cap electrodes are replaced by two planar end-plate electrodes [19]. If opposite pairs of the electrodes have steady potentials Ψ 0 and −Ψ 0 [20], the potential difference applied to the electrodes [18,21] is: …”

Section: Electric Field Inside Cylindrical Ion Trapmentioning

confidence: 99%

“…The equation of the motions [8,18,19,[22][23][24] of the ion of mass m and charge e can be written as …”

Section: Electric Field Inside Cylindrical Ion Trapmentioning

confidence: 99%

“…Equations (19) and (20) are coupled in u and v (respective r and z), and thus, can only be treated as a rough approximation [19,23,[25][26][27]. Therefore, studies on CIT equations are more difficult and complex.…”

Section: Electric Field Inside Cylindrical Ion Trapmentioning

confidence: 99%

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Mass Resolution Study in the Cylindrical Ion Trap by Using Three-Point One Block Method

Chaharborj¹,

Gheisari²

2017

Mass Spectrom Purif Tech

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Motion equations in cylindrical ion trap (CIT) coupled in u and v (respective r and z), and thus, can only be treated as a rough approximation. Hence, studies on cylindrical ion trap (CIT) equations are more complicated and involved. Therefore, a three point one block method (3POBM) of Adams Moulton type is presented to study a cylindrical ion trap (CIT) motion equations. The advantage of the three point one block method (3POBM) is to estimate the approximate solutions directly at three points simultaneously. Numerical results from three point one block method (3POBM) will compare with fifth order Runge-Kutta method (RKM5). The proposed three points one block method has a potential application to solve complicated linear and nonlinear equations of the charge particle confinement in the cylindrical field especially in fine tuning accelerators, and generally speaking, in physics of high energy. The physical properties of the confined ions in the r and z axises are illustrated and the fractional mass resolutions m/∆m of the confined ions in the first stability region was analyzed by the fifth order Runge-Kutta method (RKM5) and three points one block method (3POBM).

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“…From Equation (13) with Equation (19) and Equation (20), respectively we have, the corrector formulae of the three point one block method as follow:…”

Section: Implementation Of Block Methods In Cylindrical Ion Trap Motiomentioning

confidence: 99%

Section: Electric Field Inside Cylindrical Ion Trapmentioning

confidence: 99%

“…The equation of the motions [8,18,19,[22][23][24] of the ion of mass m and charge e can be written as …”

Section: Electric Field Inside Cylindrical Ion Trapmentioning

confidence: 99%

Section: Electric Field Inside Cylindrical Ion Trapmentioning

confidence: 99%

See 2 more Smart Citations

Mass Resolution Study in the Cylindrical Ion Trap by Using Three-Point One Block Method

Chaharborj¹,

Gheisari²

2017

Mass Spectrom Purif Tech

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“…The feasibility of using the experimental arrangement described in (6) this paper to measure radiative lifetimes has been recently demonstrated…”

Section: + 'mentioning

confidence: 99%

Rotational excitation and radiative lifetimes of N2+

Mahan

O’Keefe

1981

The Journal of Chemical Physics

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The N2+ first negative system (B 2Σ+u–X 2Σ+g) has been recorded by laser by induced fluorescences of N2+ ions confined in an rf trap. The ions were produced by electron impact and had an initial rotational distribution close to the room temperature distribution of the target N2 gas. By admitting Ar gas at pressures 10 to 100 times in excess of the N2 pressure, variable numbers of N2+–Ar collisions were allowed to occur before the N2+ distribution was interrogated by the laser. Since the N2+ was translationally energetic, being driven by the trap fields, a rapid and extensive T to R energy transfer was observed. In this way, high rotational states of N2+ were populated and the radiative lifetimes of these states were measured. No evidence for a perturbation by 4Σu+ states was found in the region (N = 31, 32) where previous studies have indicated a possible perturbation. Evidence for enhanced charge transfer from N2+ X 2Σ+g to Ar was found for N2+ in its first vibrational level.

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