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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
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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