Indexing of Kikuchi and Kossel lines is a crucial step in K‐line pattern analysis. Previous approaches mostly rely on the knowledge of unit‐cell parameters and experimental geometry. An auto‐indexing procedure is introduced that is able to find the unknown lattice, its orientation and the indices of the lines. To achieve this, the unbiased extraction of the precise conical geometrical information from the patterns is combined with existing auto‐indexing procedures developed in the field of crystallography. A subsequent lattice‐constrained refinement of all lines to the experimental pattern yields reliable lattice and experimental parameters simultaneously. Beyond providing detailed mathematical formulae, the procedure is also demonstrated on an experimental Kossel line pattern.

中文翻译：

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完整的K线图案的受限几何分析，可实现无标定的自动索引

菊池线和Kossel线的索引是K线模式分析中的关键步骤。先前的方法主要依赖于晶胞参数和实验几何的知识。引入了自动索引过程，该过程能够找到未知晶格，其方向和线的索引。为了实现这一目标，可以从图案中无偏地提取精确的圆锥形几何信息，并结合在晶体学领域开发的现有自动索引程序。随后对所有线条进行晶格约束精修以形成实验图案，可同时产生可靠的晶格和实验参数。除了提供详细的数学公式外，该过程还通过实验性的Kossel线型进行了演示。