Abstract
Maximum amplitudes of ion trajectories in a two-dimensional quadrupole field have been computed by numerical integration of Mathieu's equation. The range of initial conditions, such as initial displacement of ions, phase at entry and radial velocity at entry, are those encountered in practical mass spectrometer operations. These computations have been carried out for a and q values along various mass scan lines in the range of m/Δ m = 70–1000. The bounds on the initial displacement of ions and radial velocity at entry are calculated for 100% ion transmission through the field. It is found that the bounds on the initial displacement and radial velocity are higher when both of them are non-zero than when either of them is zero indicating that the interaction effects cause higher bounds than those predicted by individual effects.
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