Physical Sciences and Mathematics Commons^™

Numerical And Experimental Investigation Of The Stability Region For A Cylindrical Ion Trap, Bradley Steven Clarke

UNLV Theses, Dissertations, Professional Papers, and Capstones

The stability diagram provides a useful tool for determining the appropriate AC biased potential to confine ions in an ion trap. Since no analytic solution exists for the cylindrical ion trap's (CIT's) equations of motion, the CIT's stability region is not well known. The objective of this thesis is to determine the stability region for a CIT numerically and experimentally. The equations of motion for ions confined in a CIT are derived and found to be similar to the Mathieu equation, i.e. the equation that describes ion motion in a hyperbolic ion trap (HIT). Because of the similarities in the …