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

The projected probability function (PPF) for the first nearest neighbor carbon layer plane was calculated for the mesocarbon microbeads (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 moire pattern formed by a pair of the nearest layer planes. The long-range periodicity due to the moire pattern increased with increasing the HTT. Copyright (C) 1996 Elsevier Science Ltd