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Gummelt versus Lück decagon covering and beyond. Implications for decagonal quasicrystals
Acta Crystallographica Section A: Foundations and Advances ( IF 1.8 ) Pub Date : 2020-12-15 , DOI: 10.1107/s2053273320015181
Walter Steurer

Specific structural repeat units can be used as quasi‐unit cells of decagonal quasicrystals. So far, the most famous and almost exclusively employed one has been the Gummelt decagon. However, in an increasing number of cases Lück decagons have been found to be more appropriate without going into depth. The diversities and commonalities of these two basic decagonal clusters and of some more general ones are discussed. The importance of the type of underlying tiling for the correct classification of a quasi‐unit cell is demonstrated.

中文翻译:

Gummelt与Lück十边形的覆盖范围及其他。十边形准晶体的含义

特定的结构重复单元可用作十边形准晶体的准晶胞。到目前为止,最著名的,几乎是唯一受雇的是Gummelt十边形。但是,在越来越多的情况下,人们发现Lück十进制在不深入的情况下更合适。讨论了这两个基本的十边形群集以及一些更通用的十进制群集的多样性和共性。证明了底层平铺类型对于准单位像元正确分类的重要性。
更新日期:2021-01-15
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