The estimation of the rotational misorientation by the projected probability function of a displacement of carbon layer planes Original Research Article

The projected probability function (PPF) for the first nearest neighbor carbon layer plane was calculated for the mesocarbon micro beads (MCMB) based on the theory proposed by Houska and Warren for the turbostratic nature. The degree of rotational misorientation was estimated from the displacement of the two peak tops on the PPF pattern, and the angle of misorientation decreased with increasing the heat-treatment temperature (HTT) of MCMB. The simulation of turbostratic nature of layer stacking based on the angle of misorientation showed the moiré pattern formed by a pair of the nearest layer planes. The long-range periodicity due to the moiré pattern increased with increasing the HTT.