Distribution rules of systematic absence and generalized de Wolff figure of merit applied to EBSD ab-initio indexing
Abstract
For EBSD ab-initio indexing, a new method that adopts several methods originally invented for powder indexing, is reported. Distribution rules of systematic absence and error-stable Bravais lattice determination are used to eliminate negative influence of non-visible bands and erroneous information from visible bands. In addition, generalized versions of the de Wolff figures of merit are proposed as a new sorting criterion for the obtained unit-cell parameters, which can be used in both orientation determination and ab-initio indexing from Kikuchi patterns. Computational results show that the new figures of merit work well, similarly to the original de Wolff Mn. Ambiguity of indexing solutions is also pointed out, which happens in particular for low-symmetric cells, and may generate multiple distinct solutions even if very accurate positions of band center lines and the projection center are given.