Reversed de Wolff figure of merit and its application to powder indexing solutions

Two new figures of merit for powder indexing solutions are proposed: the reversed figure of merit M_n^Rev and the symmetric figure of merit M_n^Sym. These are naturally suggested by the theory underlying the de Wolff figure of merit M_n. Nevertheless, M_n^Rev has characteristics opposite to those of M_n with regard to sensitivity to impurity peaks and extinct reflections. M_n^Sym has intermediate properties between M_n and M_n^Rev. Applications of the new figures of merit to powder indexing solutions and zero-point shift estimation are introduced. All of the figures of merit are available from the powder auto-indexing software Conograph (http://sourceforge.jp/projects/conograph/ ; http://research.kek.jp/people/rtomi/ConographGUI/web_page.html ).