The paper reports on some theoretical studies concerning the impulsional mode of a quadrupole mass filter (QMF) supplied with a new periodic impulsional radio frequency voltage of the form V ac cos(ω t)⌊1 + kcos(⅓ω t)⌋/1 – √ kcos(2ω t) with 0 ≤ k < 1 (⌊.⌋ means floor function) and eventually compares it to the classical sinusoidal case, k = 0. The physical properties of the confined ions in the r and z directions are illustrated and the fractional mass resolutions m/Δ m of the confined ions in the first stability regions of both potential were analyzed for hydrogen isotopes and presented.