2-DIMENSIONAL COULOMB-INDUCED FREQUENCY-MODULATION IN FOURIER-TRANSFORM ION-CYCLOTRON RESONANCE - A MECHANISM FOR LINE BROADENING AT HIGH-MASS AND FOR LARGE ION POPULATIONS
Cl. Hendrickson et al., 2-DIMENSIONAL COULOMB-INDUCED FREQUENCY-MODULATION IN FOURIER-TRANSFORM ION-CYCLOTRON RESONANCE - A MECHANISM FOR LINE BROADENING AT HIGH-MASS AND FOR LARGE ION POPULATIONS, Journal of the American Society for Mass Spectrometry, 4(12), 1993, pp. 909-916
Fourier transform ion cyclotron resonance (FTICR) spectra generated fo
r large ion populations exhibit frequency shifts and line broadening,
apparently due to Coulomb forces between ions. Although previous two-d
imensional (2D) models of Coulomb effects in FTICR accounted for frequ
ency shifts, they did not account for spectral line broadening. In thi
s article, a 2D model is proposed that predicts line broadening due to
Coulomb-induced frequency modulation. The model considers the case of
two different-mass ions orbiting at their respective cyclotron freque
ncies around a common guiding center. A mutual modulation of the cyclo
tron frequency occurs at the difference frequency between ions. If the
modulation period is much shorter than the FTICR observation time, th
en sidebands spaced at intervals approximately equal to the modulation
frequency are predicted. However, if the modulation period is similar
in duration to the FTICR observation period, the sidebands can no lon
ger be resolved, which results in spectral line broadening. This latte
r case is a necessary consequence for isotopic peaks in the high mass
region around m/z 2000, where deterioration in FTICR performance has b
een observed. Computer simulations are used to confirm the mass depend
ence and to demonstrate other features of the model, including a stron
g dependence of the modulation on ion number. In support of the model,
experimental FTICR spectra for large populations of methylnaphthalene
ions at m/z 141 and 142 exhibit constant frequency sidebands correspo
nding to multiples of the difference frequency for the two ions extend
ing from nominal values of m/z 136 to 147.