  A linear ion trap setup has been developed for studying the dynamics of
trapped ion cloud and thereby realizing possible systematics of a high
precision measurement on a single ion within it. The dynamics of molecular
nitrogen ion cloud has been investigated to extract the characteristics of the
trap setup. The stability of trap operation has been studied with observation
of narrow nonlinear resonances pointing out the region of instabilities within
the broad stability region. The secular frequency has been measured and the
motional spectra of trapped ion oscillation have been obtained by using
electric dipole excitation. It is applied to study the space charge effect and
the axial coupling in the radial plane.
