DISTRIBUTION OF DISORIENTATION ANGLES IF ALL RELATIVE ORIENTATIONS OF NEIGHBORING GRAINS ARE EQUALLY PROBABLE

In investigating the grain structure of metals it is of interest to determine the degree to which the relative orientations of neighbouring grains deviate from random. For grains with the same crystal lattice one can determine experimentally the disorientation angle between neighbouring grains, i.e. the minimum angle needed to rotate one lattice so that it becomes parallel to the other The frequency of these angles is then compared to the density of disorientation angles computed under the assumption of no correlation between the orientations of neighbouring grains. This density has been determined for the cubic system Handscomb [1] and by Mackenzie [2]. Two related papers are Mackenzie [3] and Warrington-Boon [4]. In this paper we consider the non-cubic crystal systems and determine mean, standard deviation, median, density and distribution of the disorientation angle. © 1979.