Orientation Density and Its Use in Quantitative Texture Studies

An equation is derived from a definition of orientation density, Q=δζ/1.4ρ³, where Q is the average orientation density in an orientation state of size ρ centered on a particular orientation and δζ is the measured volume fraction of the sample with orientations within the orientation state. An approximate relationship between orientation density and (100) pole density for a strong single component texture is obtained, namely, Q₀=1.08P₀^{$\frac{3}{2}$}, where Q₀ is the maximum orientation density and P₀ is the maximum pole density. Samples that include the orientations of a large number of grains are used to illustrate the application of orientation density to the study of textures. Orientation density results are considered to be especially valuable when the texture has many components.