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This research paper, conducted as part of UNLV's Summer REU Program, explores the experimental determination of a stable boundary for a cylindrical ion trap design. The study aims to compare experimental findings with simulated results and hyperbolic electrode theory, focusing on ion trapping parameters and the behavior of ions near the trap center. The methodology includes ion signal scanning, numerical ion trajectory determination using SimIon simulation program, and analysis of ion storage dynamics. The results highlight the impact of ion creation near the boundary and propose the Delta.U0 approach to minimize complications in trap design.
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Experimental Determination of the Stable Boundary for a Cylindrical Ion Trap Andrew Alexander, Dr. Victor Kwong*, Brad Clarke, James Benevente UNLV Summer REU Program, Las Vegas, Nevada August 9, 2010 1
Introduction • Ion Traps: first designed with hyperbolic electrodes • Equations of motion – exact analytic solution • Difficult fabrication process • Cylindrical ion trap • Easily constructed and functional alternative • Theoretical model remains elusive. 2
Objective • Ions near center of trap “see” approx. hyperbolic potentials • Good starting point • Exact trapping parameters must be determined experimentally • Goals: • Determine stable boundary for cylindrical design • Compare findings: simulated results & hyperbolic electrode theory 3
Trap Design Basics • Ring electrode: • AC potential (V0) & DC potential offset (U0) ring electrodes end cap electrodes 10
Theory – Hyperbolic • Ion equation of motion • Form of Mathieu differential equation: • & – linearly related - V0 and U0 11
Simulation - Cylindrical • Ion equation of motion • No simple solution • Turn to simulation program: SimIon • Numerically determine ion trajectory • & defined the same – comparison 12
Methods Basic Process • Ion signal scanned as a function of Uo • Boundary approx. where signal is lost Experiment 2 (Delta U0) • Ions created and stored with au near boundary • Ions storage times: 345 & 690 ms • Ions created and cooled – 700 ms • Ideal trapping parameters • U0 brought near boundary • 2 ms storage time near boundary • Experiment 1
Conclusion • Creation of ions near the boundary adversely affects ion population • Trap design appear to “leak” ions over time • Delta U0 approach minimizes these complications 15
Acknowledgments • Dr. Victor Kwong • Brad Clarke • James Benevente • Financial support from NSF REU program DMR-1005247 is gratefully acknowledged. 16