Rotational motions of the phenylene rings in PEEK were examined by means of semiempirical CNDO (complete neglect of differential overlap) molecular-orbital calculations for various model compounds. Results indicated that the ether-ether phenylene ring tends to stay coplanar with, whereas the ether-ketone ring prefers to lie vertical to, the plane of the backbone zigzag. This preferred arrangement results in low intramolecular hindrances for medium- to large-amplitude phenylene rotations or torsional motions of virtual bonds in amorphous PEEK. Upon crystallization, the phenylene rings give away their preferred angular positions and choose to incline by a low angle from the plane of the backbone zigzag in an alternating manner (as previous X-ray diffraction results dictate) to achieve efficient packing. The tight packing subsequently results in strong intermolecular interactions which, in combination with increased intramolecular hindrance (from stronger ring-ring repulsion at the low tilt angle), render motion of the phenylene rings restricted as observed in earlier solid-state NMR studies. Crankshaft types of chain motion are found consistent with the dielectrically determined activation energy for the gamma-relaxation of PEEK.