Mass filter with phase modulation of radio frequency voltage

In this work, the parametric quadrupole resonance caused by the phase modulation of waveform potential is studied. Based on analytical and numerical description of the ion motion in the quadrupole mass filter with the phase modulation, a stability island is found with good ion optical properties such as high ion transmission efficiency (16%), high mass resolution (peak width measured at 10% of peak height,R-0.1= 6000), the required separation time (100-150 radio frequency [RF] cycles), and good peak shape of trapezoid form. Furthermore, the analysis of the frequency spectrum of the applied potential and the quadrupole mass filter (QMF) acceptance are also presented; a resonance frequency is found from this spectrum. Finally, a suitable stability X-islands with relative modulation frequency,nu=2 +/-beta,beta=1P,10 <= P <= 40, is established and studied in detail. Here,beta is the imaginary part of the characteristic exponent of stable solutions to the Mathieu equation.