Of dipolar dc excitation and dc tomography in the rf quadrupole ion trap

A theory of dipolar dc excitation and dc tomography in the rf quadrupole io n trap is presented. The equation of motion for ions subject to a dipolar d c field is written in the form of a Mathieu equation with time indcpendcnt inhomogeneity and solved analytically. Three cases are considcred explicitl y: application of continuous dipolar dc fields, application of dipolar puls es for translational excitation of ion motion, and application of dipolar p ulses for selective ejection of ions. The effect of monopolar pulses and no nlinear fields is investigated by simulations of ion motion. It is shown th at translational excitation of ions by dipolar dc pulses has a near linear response of oscillation amplitudc to the voltage of the dipolar dc pulse an d is nearly mass indcpendcnt for a large mass range, providcd the pulse wid th is chosen appropriately. Formulae are given for optimum choice of pulse voltage and width. Dc tomography, a technique which probes ion motion by se lective ejection of ions due to the application of short dipolar dc pulses, is shown to be a feasible method for monitoring the secular oscillation of a coherent group of ions, sensitive to even small changes in ion position. (Int J Mass Spectrom 202 (2000) 175-197) (C) 2000 Elsevier Science B.V.