论文标题

部分可观测时空混沌系统的无模型预测

A Computer Program for Objective Point Symmetry Classifications of Pseudosymmetric Electron Diffraction Spot Patterns

论文作者

von Koch, Lukas, Moeck, Peter

论文摘要

引入了一个用于计算基于信息理论的对称分类所需的指标的Python程序,并引入了传输电子衍射点模式的定量。它是同类产品中的第一个,因为它将客观性实现为晶体中近似区域轴模式的晶体对称性分类和量化。给出了程序运行的方程以及所需的输入。该程序对具有伪赫德曲线晶格度量的晶体和矩形中心的Bravias晶格对实验透射电子衍射点模式进行了分析的结果。该程序最终将附加以允许对其他分层翻译伪对称和Bravais晶格类型组合进行分析。为了比较目的,将传统分类的晶体学RSYM值与新程序分析的信息理论结果一起提供。

A Python program for calculating the metrics necessary to perform information-theory based symmetry classifications and quantifications of transmission electron diffraction spot patterns is introduced. It is the first of its kind, in that it implements objectivity into crystallographic symmetry classifications and quantifications of approximate zone axis patterns from crystals. The equations by which the program operates as well as the required inputs are given. The results of the program's analysis of an experimental transmission electron diffraction spot pattern from a crystal with a pseudo-hexagonal lattice metric and a rectangular-centered Bravias lattice is used as an example. The program will eventually be appended to allow analysis of the other hierarchical translational pseudo-symmetry and Bravais lattice type combinations. Crystallographic Rsym values of traditional classifications into projected point symmetry groups are provided alongside information-theoretic results of the new program's analysis for comparison purposes.

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