Misphasing of Ion Motion in Quadratic Potential Induced by Space-Periodic Disturbance

2008 ◽  
Vol 14 (1) ◽  
pp. 1-5 ◽  
Author(s):  
Ivan A. Boldin ◽  
Eugene N. Nikolaev
Keyword(s):  
Quadratic Field ◽  
Paul Trap ◽  
Computation Method ◽  
Mass Analyzer ◽  
Quadratic Potential ◽  
Ion Motion ◽  
Periodic Disturbance ◽  
Weak Space ◽  
Different Types ◽  
Ion Cloud

An ideally quadratic potential used in different types of ion mass analyzer such as Paul trap, Kingdon trap and quadratic field reflectron may be space-periodically disturbed due to inaccuracy of fabrication and design features. If ion motion in such devices is computer-simulated, disturbances of potential may be caused by the peculiarity of the computation method. The problem investigated in this work is the effect that weak space-periodic disturbance of a quadratic potential takes on the ion motion in such a potential. The effect of the disturbance we considered is the misphasing of an ion cloud oscillating in a disturbed quadratic potential. A method to evaluate the characteristic misphasing time is presented. For the case of disturbance amplitude being constant along ion trajectories, the designated problem may be considered analytically. If the disturbance amplitude depends on oscillation co-ordinate, the result can be obtained by use of numerical integration. An example of numerical calculation is presented.

Predicting the surface waviness of sheet moulding compound parts by simulating process-induced thermal stresses

2011 ◽  
Vol 31 (8-9) ◽  
Author(s):  
Walter Michaeli ◽  
Christoph Kremer
Keyword(s):  
Thermal Stresses ◽  
Surface Defects ◽  
Computation Method ◽  
Surface Waviness ◽  
Curing Reaction ◽  
Calculated Stress ◽  
Moulding Compound ◽  
Different Types ◽  
Sheet Moulding Compound ◽  
Good Agreement

Abstract This paper describes an opportunity to compute the surface waviness of compression moulded sheet moulding compound (SMC) parts by simulating residual stresses. First, different types of surface defects occurring on SMC parts are discussed. A method for calculating the surface waviness of the compression moulded part is presented, which combines the simulation of the production process and the structural computation. Modelling of the curing reaction and the development of mechanical properties are discussed and implemented. The potential of the computation method is shown for an automotive fender made of SMC. The results state that the curing reaction of SMC can be well described using the approach of Ng and Manas-Zloczower. The position of the measured waviness on the examined fender is in good agreement with the calculated stress distribution.

Origin and manifestation of the anharmonic potential felt by an ion-cloud in an actual Paul trap

1996 ◽  
Vol 62 (4) ◽  
pp. 421-426 ◽  
Author(s):  
X. Luo ◽  
X. Zhu ◽  
K. Gao ◽  
J. Li ◽  
M. Yan ◽  
...  
Keyword(s):  
Paul Trap ◽  
Anharmonic Potential ◽  
Ion Cloud

Paul Trap Mass Analyzer Consisting of Opposing Microfabricated Electrode Plates

2009 ◽  
Vol 81 (13) ◽  
pp. 5241-5248 ◽  
Author(s):  
Zhiping Zhang ◽  
Ying Peng ◽  
Brett J. Hansen ◽  
Ivan W. Miller ◽  
Miao Wang ◽  
...  
Keyword(s):  
Paul Trap ◽  
Mass Analyzer

scholarly journals Efficient computational scheme for ion dynamics in RF-field of Paul trap

2019 ◽  
Vol 27 (4) ◽  
pp. 378-385
Author(s):  
Vladimir S. Melezhik
Keyword(s):  
Radio Frequency ◽  
Cold Atom ◽  
Paul Trap ◽  
Ion Traps ◽  
Computational Scheme ◽  
Time Interval ◽  
Ion Dynamics ◽  
Ion Motion ◽  
Hamilton Equations ◽  
Ion Collision

We have developed an efficient computational scheme for integration of the classical Hamilton equations describing the ion dynamics confined in the radio-frequency field of the Paul trap. It has permitted a quantitative treatment of cold atom-ion resonant collisions in hybrid atom-ion traps with taking into account unremovable ion micromotion caused by the radio-frequency fields (V.S. Melezhik et. al., Phys. Rev. A100, 063406 (2019)). The important element of the hybrid atom-ion systems is the electromagnetic Paul trap confining the charged ion. The oscillating motion of the confined ion is defined by two frequencies of the Paul trap. It is the frequency of the order of 100 kHz due to the constant electric field and the radio-frequency of about 1-2 MHz defined by the alternating electromagnetic field of the ion trap. The necessity to accurately treat the ion motion in the combined field with two time scales defined by these two very different frequencies has demanded to develop the stable computational scheme for integration of the classical Hamilton equations for the ion motion. Moreover, the scheme must be stable on rather long time-interval of the ion collision with the cold atom ∼ 10 × 2/ defined by the atomic trap frequency ∼ 10 kHz and in the moment of the atom-ion collision when the Hamilton equations are strongly coupled. The developed numerical method takes into account all these features of the problem and makes it possible to integrate the system of coupled quantum-semiclassical equations with the necessary accuracy and quantitatively describes the processes of atomic-ion collisions in hybrid traps, including resonance effects.

Fractional frequency collective parametric resonances of an ion cloud in a Paul trap

1998 ◽  
Vol 58 (1) ◽  
pp. R34-R37 ◽  
Author(s):  
M. A. N. Razvi ◽  
X. Z. Chu ◽  
R. Alheit ◽  
G. Werth ◽  
R. Blümel
Keyword(s):  
Paul Trap ◽  
Fractional Frequency ◽  
Parametric Resonances ◽  
Ion Cloud

Lattice Vibrations and Defect-Induced Vibrational Properties in Cubic SiC

1987 ◽  
Vol 97 ◽  
Author(s):  
P. J. Lin-Chung
Keyword(s):  
Phonon Dispersion ◽  
Vibrational Properties ◽  
Quadratic Potential ◽  
Native Defects ◽  
Defect Complexes ◽  
Interstitial Defects ◽  
Different Types ◽  
Bulk Phonon ◽  
Antisite Defects ◽  
Phonon Dispersion Relations

ABSTRACTA theoretical study of both the bulk phonon dispersion relations in cubic SiC and the vibrational properties induced by native defects is presented. The Keating Hamiltonian is used for the quadratic potential energy of the system, and the supercell approach is employed to treat the defect problem. The defect complexes considered are antisite defects, divacancy defects, and three different types of carbon di-interstitial defects.

Nonlinear collective oscillations of an ion cloud in a Paul trap

1997 ◽  
Vol 56 (5) ◽  
pp. 4023-4031 ◽  
Author(s):  
R. Alheit ◽  
X. Z. Chu ◽  
M. Hoefer ◽  
M. Holzki ◽  
G. Werth ◽  
...  
Keyword(s):  
Paul Trap ◽  
Ion Cloud ◽  
Collective Oscillations
Sign in / Sign up

Export Citation Format

Share Document