The n-point orientation correlation function and its application

The properties of a polycrystal can be treated from a statistical point of view. Herein the concept of the n-point orientation correlation function (the n-OCF) is presented in detail. The relations among the 2-point microtexture coefficients, statistical symmetry, and crystallographic symmetry are given for an orthorhombic aggregate of cubic crystallites. As an application of the n-OCF, we obtain a formula for the effective elastic stiffness tensor pertaining to an orthorhombic aggregate of cubic crystallites.