This study uses a computer model to simulate a quadrupole mass filter (QMF) instrument under different operating conditions for Mathieu stability zones 1 and 3. The investigation considers the factors that limit the maximum resolution (R(max)), which can be obtained for a given QMF for a particular value of scan line. Previously, QMF resolution (R) has been found to be dependent on number (N) of radio frequency (rf) cycles experienced by the ions in the mass filter, according to R = N(n)/K, where n and K are the constants. However, this expression does not predict the limit to QMF resolution observed in practice and is true only for the linear regions of the performance curve for QMF operation in zone 1 and zone 3 of the stability diagram. Here we model the saturated regions of the performance curve for QMF operation in zone 1 according to R = q(1 - 2c(N))/∆q, where c is a constant and ∆q is the width of the intersection of the operating scan line with the stability zone 1, measured at q-axis of the Mathieu stability diagram. Also by careful calculations of the detail of the stability tip of zone 1, the following relationship was established between R(max) and percentage U/V ratio: R(max) = q/(0.9330-0.00933U/V). For QMF operation in zone 3 the expression R = a - bc(N) simulates well the linear and saturated regions of the performance curve for a range of operational conditions, where a, b, and c are constants.
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Article Synopsis
- - The work investigates parametric quadrupole resonance by examining the effects of phase modulation on a waveform potential in ion motion within a quadrupole mass filter.
- - It identifies a stability island with promising ion optical features, including a 16% ion transmission efficiency and a high mass resolution of R = 6000, needing 100-150 RF cycles for separation.
- - The study also analyzes the frequency spectrum of the applied potential, highlighting the discovery of resonance frequency and establishing a suitable stability X-island associated with the modulation frequency linked to the Mathieu equation.
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