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Determination of the total texture function from individual orientations modelled by a Lorentzian distribution
Author(s) -
Baudin T.,
Penelle R.
Publication year - 1993
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/s0021889892010136
Subject(s) - texture (cosmology) , orientation (vector space) , distribution function , gaussian , function (biology) , distribution (mathematics) , harmonic , cauchy distribution , statistical physics , mathematical analysis , crystallite , mathematics , physics , optics , materials science , geometry , computer science , artificial intelligence , image (mathematics) , acoustics , thermodynamics , quantum mechanics , evolutionary biology , biology , metallurgy
The technique of individual orientation measurement allows the calculation a total texture function by the harmonic method. However, it is necessary to test some of the parameters used to model each orientation. One important parameter is the shape of the function so the influence of two distributions (Gaussian and Lorentzian) is discussed. With adjustment of some other parameters, such as p , which characterizes the texture sharpness, it appears that similar results are obtained with the two models even if the Lorentzian function is more difficult to apply to polycrystalline materials.