Fundamental aspects are presented of a two-temperature moment theory for quadrupole ion traps developed via transformation of the Boltzmann equation. Solutions of the moment equations correspond to changes in the ensemble average for any function of ion velocity, because the Boltzmann equation reflects changes to an ion distribution as a whole. The function of primary interest in this paper is the ion effective temperature and its behavior during ion storage and resonance excitation. Calculations suggest that increases in ion effective temperature during resonance excitation are due primarily to power absorption from the main RF trapping field rather than from the dipolar excitation signal. The dipolar excitation signal apparently serves mainly to move ions into regions of the ion trap where the RF electric field, and thus ion RF heating, is greater than near the trap center. Both ideal and non-ideal ion trap configurations are accounted for in the moment equations by incorporating parameterized variables ã and q, which are modified versions of the commonly used forms for the DC and AC ring voltages, and b and d, which are new forms that account for the voltages applied to the endcaps. Besides extending the applicability of the moment equations to non-ideal quadrupole ion traps, the modified versions of the parameterized variables can have additional utility. T oday, a large number of analytical mass spectrometers depend exclusively upon electric fields for ion transport, manipulation, and mass analysis. The fields employed may be static (e.g., time-offlight) [1], dynamic (e.g., RF quadrupole [2][3][4][5]), or a combination of the two [6 -8]. Improvements in performance of RF devices have been realized by changes in the physical configuration and applied potentials [9 -12], which produce electric fields of increased complexity (e.g., hexapole, octapole, etc.). Furthermore, ion motion and physicochemical phenomena in such RF devices are influenced by the introduction of a buffer gas at substantial pressure. The high number of ionneutral collisions resulting from extended ion residence times and elevated buffer gas number density can prove beneficial for ion cooling and focusing [13,14]. In contrast, the average kinetic energy of the ions also can be increased significantly above the thermal energy of the neutrals via acceleration in an electric field. The most widely used approach for ion acceleration in electrodynamic ion traps, termed resonance excitation, uses a relatively low-amplitude AC signal at the fundamental frequency of ion axial oscillations applied to the endcaps [15]. An important application of that process in RF multipole devices is collisional activation (CA) [15], in which a portion of the ion-neutral relative (i.e., center-of-mass) kinetic energy is transferred into internal energy of the ions. In such instances, although the kinetic energy associated with any individual collision is generally small, the cumulative effect of multiple collisions enables the collision-induced dissociation (CID) o...