Kinematic effects associated with molecular frames in structural isomerization dynamics of clusters

An investigation on the kinematic effects associated with molecular frames in structural isomerization dynamics of a triatomic cluster was presented. The principal-axis hyperspherical coordinates (PAHC), which were based on a gauge-theoretical treatment, were introduced for the study of the internal motions of the clusters. A kinematic force called democratic centrifugal force (DCF) was obtained, which arose on the gyration space in response to the democratic rotation. It was observed that the DCF had an effect of inducing an asymmetry in mass balance of a system along principal axes, for which the cluster tended to be collapsed towards the collinear shape, which in turn helped the isomerization reaction to begin.