With an improved six-centre Lennard–Jones pair potential the recently started molecular dynamics (MD) investigation of rotator phases in cyclohexane was extended. The phase transition from the liquid to the plastic phase of fee structure (solid I) could be more precisely determined and analyzed in terms of time correlation functions. The transition from the solid I to the low-temperature solid phase II could also be observed. Both transitions occur at thermodynamic conditions, which are in good agreement with experimental findings. This seems to be a good indication of the applicability of the present potential model. In order to study in detail the rotations around the symmetry-axes C2 and C3 of the molecules, suitable angle-distributions for nearest neighbour molecule pairs have been determined. The results show that relatively small changes of the rotational dynamics occur for the liquid-plastic transition, while the solid I–solid II transition is accompanied by strong alterations of the rotational behaviour. In particular, our findings contrast with accepted experimental evidence for the fact that rotations around the C3-axis are less hindered than those around the C2-axis in solid I phase.