A determination of the normalization factor and its application to the incomplete pole-figure method

The loss of the orthogonality relationships in the incomplete pole-figure method leads to the necessity of solving a large set of equations to obtain the C coefficients of the orientation distribution function (ODF). The knowledge of the normalization factor N_i of each pole figure allows the large set of equations to be divided into subsets of reduced size. This paper presents a way to determine the N_i factor from the nullity of the F⁰₂ coefficient of the series expansion of the pole figure for cubic lattice symmetry. Calculations have been carried out for a sample with a triclinic symmetry.