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Glass based on a single proto-tile and inflation species without discretediffractogram

机译:基于单一原生和膨胀物质的玻璃,无离散衍射图

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The discovery of quasicrystals in the 80s has led to a qualitative change in our understanding about atomic arrangements, including definition of solids having discrete diffractograms. Owing to this, the emphasis has now been shifted to reciprocal space from direct space that was in vogue prior to the seminal finding of quasi-periodic atomic arrangements having noncrystallographic point group symmetry. The purpose of this communication is to cite two specific examples of two-dimensional tiling from literature that do not possess discrete diffractograms, but have subtle distinctions in direct space. It will be shown that one of the above constructs offers the first ever example of an isotropic glass based on a single proto-tile. The second example, on the other hand, displays characteristics which are akin to those of glasses in reciprocal space, but possesses finite rank in direct space. The consequence of these will be discussed in relation to Pisot-Vijayaraghavan (PV) number. It will be concluded that foundation of Copernican crystallography incorporating these is still missing and needs further substantiation.
机译:八十年代准晶体的发现导致我们对原子排列的理解发生了质的变化,包括对具有离散衍射图的固体的定义。由于这个原因,现在的重点已经从在具有非晶体学点群对称性的准周期原子排列的开创性发现之前流行的直接空间转移到互易空间。交流的目的是从文献中引用二维平铺的两个特定示例,这些示例不具有离散衍射图,但在直接空间中具有微妙的区别。将显示上述构造之一提供了基于单个原型砖的各向同性玻璃的第一个示例。另一方面,第二个示例显示的特性类似于倒数空间中的眼镜,但在直接空间中具有有限的等级。将针对Pisot-Vijayaraghavan(PV)编号讨论这些结果。可以得出结论,结合了这些元素的哥白尼晶体学基础仍然缺失,需要进一步证实。

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