Coordination shells and coordination numbers of the vertex graph of the Ammann-Beenker tiling

被引：3

作者：

Shutov, Anton ^{[1
]}

Maleev, Andrey ^{[1
]}

机构：

[1] Vladimir State Univ, Gorky Str 87, Vladimir 600000, Russia

来源：

ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES | 2019年 / 75卷

基金：

俄罗斯基础研究基金会;

关键词：

vertex graph of the Ammann-Beenker tiling; coordination sequences; coordination shells; growth form; BY-LAYER GROWTH; CUBIC LATTICE COMPLEXES; EXISTENCE CONDITIONS; SEQUENCES; PARAMETERIZATION; CRYSTAL;

D O I：

10.1107/S2053273319008179

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

The vertex graph of the Ammann-Beenker tiling is a well-known quasiperiodic graph with an eightfold rotational symmetry. The coordination sequence and coordination shells of this graph are studied. It is proved that there exists a limit growth form for the vertex graph of the Ammann-Beenker tiling. This growth form is an explicitly calculated regular octagon. Moreover, an asymptotic formula for the coordination numbers of the vertex graph of the Ammann-Beenker tiling is also proved.

引用

页码：746 / 757

页数：12

共 16 条

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