A theoretical evaluation of the sustained off-resonance irradiation of ions (SORI) in the presence of a collisional buffer gas in a Fourier transform ion cyclotron resonance mass spectrometer is presented. It is shown that there is an optimal pressure for a given set of irradiation parameters corresponding to the most effective dissociation. Theoretical predictions are compared with experimental results for the dissociation of electrosprayed biopolymer ions and with previously accepted view of the SORT process. (J Am Soc Mass Spectrom 1999, 10, 15-18) (C) 1999 American Society for Mass Spectrometry.