The huge number of intermetallic structure types with many representatives calls for structural systemization. The combination of crystal chemistry with group theory is an efficient tool for such systemization and can be displayed in a concise and compact way via group-subgroup schemes. The present overview deals with such group-subgroup schemes (Bärnighausen trees) for coloring and distortion variants of the bcc packing as well as superstructures that derive from the aristotypes BaAl 4 and CeMg 2 Si 2 .

中文翻译：

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bcc填料的颜色和变形形式以及BaAl4和CeMg2Si2的贵族型

数量众多且代表众多的金属间结构类型要求进行结构化系统化。晶体化学与群论的结合是实现这种系统化的有效工具，可以通过群-子群方案以简洁明了的方式进行展示。本概述涉及这样的组-子组方案（Bärnighausen树），用于bcc填充物的着色和变形变体以及源自原型AlBa 4和CeMg 2 Si 2的超结构。