Abstract
For any quantitative study on microstructure of a product phase, information on the parent orientation and orientation relationship is essential, yet it is often lost after phase transformation. Even a numerical approach to the problem was proposed elsewhere, a description of the method used for numerical fitting, its efficiency and accuracy has not been reported so far. Here, we address in details the use of Newton's method as one of the fastest convergence techniques for least squares fitting of parent orientation and orientation relationship from EBSD data of the product phase. A robust algorithm with high precision is proposed in a form convenient for programming. Calculation errors, which are evaluated by a novel approach based on simulation of the daughter orientations, are 0.02° for parent orientation and 0.06° for orientation relationship.
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