In an ion cyclotron resonance cell, which is enclosed at its ends by electrode structure elements with DC voltages of alternating polarity, longitudinal electrodes are divided so that the ICR measurement cell between the electrode structure elements consists of at least three sections. An excitation of ion cyclotron motions can be performed by applying additional trapping voltages to longitudinal electrodes located closest to the electrode structure elements and introducing ions into the center set of longitudinal electrodes. The ions are then excited into cyclotron orbits by applying radiofrequency excitation pulses to at least two rows of longitudinal electrodes to produce orbiting ion clouds. Subsequently, the additional trapping voltages are removed and an ion-attracting DC voltage is superimposed on the DC voltages. Ions excited to circular orbits can be detected using detection electrodes in the outer ICR cell sections.