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Investigation of the ADC Method for Direct ODF Approximation by Means of Standard Functions
Author(s) -
Raabe D.,
Lücke K.
Publication year - 1993
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221800103
Subject(s) - truncation (statistics) , orientation (vector space) , mathematics , series (stratigraphy) , crystallite , mathematical analysis , set (abstract data type) , taylor series , statistics , geometry , crystallography , chemistry , computer science , paleontology , programming language , biology
Three‐dimensional orientation distributions of grains in polycrystalline aggregates are referred to as crystallographic textures. They can be calculated from centrosymmetric two‐dimensional pole figures by means of series expansion methods or by direct methods. Both techniques lead to inaccuracies, caused by the absence of the odd coefficients and by truncation errors in the first case and by the underdetermination of the set of linear equations combining discrete cells in the pole figures and in the three‐dimensional orientation space in the second case. The direct method of “arbitrary defined cells” (ADC) is investigated by means of the component fit method and by use of standard functions, respectively. The maximum value of the orientation density achieved by the ADC method represents a good approximation. However, weak negative and positive ghost adulterations are identified.