Representing Orientation Distributions in Polycrystalline Aggregates

Methods, such as high-resolution transmission electron microscopy (HRTEM), enable direct examination of orientation relationships between pairs of crystals. However, 

Recall from Section 2.2.1 that the coordinate axes of any individual grain, or crystal, can be transformed to the sample reference coordinate system through a series of three Euler angle rotations. With the ODF, tme three dimensional representations of intensity 

The implications of texture on the properties exhibited by a material are discussed later in this chapter. It can be seen that the properties of polycrystaUine aggregates with a sufficiently large number of grains, possessing a completely random orientation distribution, are macroscopically isotropic (independent of direction), even though the crystallites themselves may be anisotropic. Fabrication processes such as extrusion, rolling, and pressing, act to remove this isotropy. 

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