9144317nkhzzqpxnqgc.zip from On three-dimensional misorientation spaces

Determining the local orientation of crystals in engineering and geological materials has become routine with the advent of modern crystallographic mapping techniques. These techniques enable many thousands of orientation measurements to be made, directing attention towards how such data are best analysed and plotted. Here, we provide a guide to the visualization of misorientation data in three-dimensional (3D) vector spaces, reduced by crystal symmetry, to reveal crystallographic orientation relationships. By choosing an appropriate vector space, domains for all point group symmetries become accessible and fundamental zones are presented for combinations of all Laue classes. An analysis methodology is then developed and applied to identify crystallographic relationships in examples from materials science and geology. These examples highlight key advantages of analysing misorientations as 3D vectors. In particular, identification of misorientation clusters highlights the presence of previously unknown orientation relationships and helps determining active deformation mechanisms. Evaluation of cluster spread and centre allows for a more accurate description of transformation processes and quantification of clusters can be used for arguments of a sample's provenance.随着现代晶体学标测技术的问世，测定工程与地质材料中晶体的局部取向已成为常规操作。这类技术可实现数以万计的取向测量，从而将研究焦点引向如何最优地分析与可视化呈现此类数据。本文旨在提供一套针对经晶体对称性约简的三维（3D）矢量空间中取向差数据的可视化指南，以揭示晶体学取向关系。通过选取适宜的矢量空间，可覆盖所有点群对称性对应的取向域，并为所有劳厄类的组合呈现基本晶带。随后本文提出一套分析方法，并将其应用于材料科学与地质学案例中的晶体学关系识别。上述案例凸显了将取向差以三维矢量形式进行分析的核心优势。具体而言，对取向差簇的识别可揭示此前未被发现的取向关系，同时有助于确定活跃的变形机制。通过评估取向差簇的弥散程度与簇心位置，可更精准地描述相变过程；而对簇的量化分析则可用于论证样品的溯源依据。