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A determination of the normalization factor and its application to the incomplete pole‐figure method
Author(s) -
Humbert M.,
Bergmann H. W.
Publication year - 1980
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889880012666
Subject(s) - normalization (sociology) , pole figure , mathematics , mathematical analysis , lattice (music) , rotational symmetry , geometry , physics , optics , diffraction , sociology , anthropology , acoustics
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 F 0 2 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.