Representation of Grain Misorientations (Mesotexture) in Rodrigues-Frank Space

Use of the Rodrigues vector R for representation of rotations in Rodrigues-Frank (RF) space is illustrated for the particular case of misorientations between grains in a cubic polycrystal. A subvolume of the fundamental zone of RF space is shown to be a convenient unit for the display of preferred misorientation, which here is referred to as `mesotexture'. When a misorientation sample population is displayed in the subvolume low angle, coincident axial direction and particularly coincident site lattice boundaries are presented with clarity thus allowing nature of the mesotexture to be assessed. Some features and properties of RF space are illustrated with reference to an experimental sample population of grain misorientations, and comparisons are made with other representation methods.