Steurer Walter
Department of Materials, ETH Zürich, Loorenstrasse 60, Zurich 8053, Switzerland.
Acta Crystallogr A Found Adv. 2021 Jan 1;77(Pt 1):36-41. doi: 10.1107/S2053273320015181. Epub 2021 Jan 5.
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.
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,最著名且几乎唯一被采用的是古默尔特十边形。然而,在越来越多的情况下,人们发现吕克十边形在未深入探讨的情况下更为合适。本文讨论了这两种基本十边形簇以及一些更一般的十边形簇的差异和共性。证明了基础铺砌类型对于准晶胞正确分类的重要性。