Ns. Arnold et al., EXTENDED THEORETICAL CONSIDERATIONS FOR MASS RESOLUTION IN THE RESONANCE EJECTION MODE OF QUADRUPOLE ION-TRAP MASS-SPECTROMETRY, Journal of the American Society for Mass Spectrometry, 5(7), 1994, pp. 676-688
Proceeding from the pseudopotential-well approximation for ion motion
in a quadrupole ion trap, mathematical expressions are derived to desc
ribe the excitation amplitude of an ion packet at a given mass-to-char
ge ratio. Ion-neutral collisions are incorporated to describe the damp
ing of ion trajectories and to describe the distribution of individual
ion trajectories about a mean amplitude for the ion packet. The rate
of increase of the amplitude during scanning is related to expressions
that describe the amplitude dispersion of the ions at the time of eje
ction from the trap, which is operating in a resonance ejection scanni
ng mode to describe the temporal line width of the ejected ion packet.
The temporal fine width is related to mass resolution under a number
of different scanning conditions. Included in the discussion are consi
derations of the effect on resolution of the resonance excitation volt
age, temperature, pressure, noise, and buffer-gas composition. An expr
ession for the maximum possible resolution at high ion mass-to-charge
ratios is developed, and these results are compared to an existing the
oretical construction. The expressions derived under the pseudopotenti
al-well approximation are further extended to high q(z) values and com
pared to experimental data previously published by two other researche
rs.