Gosset helicoids: II. Second coordination sphere of eight-dimensional lattice E (8) and ordered noncrystalline tetravalent structures

Samoylovich MI; Talis AL

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Gosset helicoids: II. Second coordination sphere of eight-dimensional lattice E (8) and ordered noncrystalline tetravalent structures

机译：八角形螺旋线：II。八维晶格E（8）和有序非晶四价结构的第二配位球

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This paper completes a series of works in which the three-dimensional Euclidean realization of the system of constructions of algebraic geometry determines the three-level (cluster-helicoid-union of helicoids) scheme of the assembly of ordered tetravalent structures. The algebraic and topological properties of the second coordination sphere of the eight-dimensional lattice E (8) have been used to derive an ordered noncrystalline diamond-like structure. An a priori constructed model represents a helicoidal assembly of finite tubes (from allowably distorted aOE (c) 110 > diamond chains) with transverse pentacycles, hexacycles, and heptacycles and nonintegral screw axes. It has been assumed that similar structures can be formed in diamond-like thin films, gas hydrates, biological structures, nanostructures, and other ordered systems.

机译：本文完成了一系列工作，其中代数几何构造系统的三维欧几里得实现决定了有序四价结构组装的三级方案（类群的螺旋-螺旋-螺旋）。八维晶格E（8）的第二个协调球的代数和拓扑性质已用于导出有序的非晶体类金刚石结构。先验构造的模型表示有限管的螺旋装配（来自允许变形的aOE（c）110>金刚石链），具有横向的五轮，六轮和七轮以及非整体螺旋轴。已经假定可以在类金刚石薄膜，气体水合物，生物结构，纳米结构和其他有序体系中形成类似的结构。

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《Crystallography reports》 |2009年第7期|共11页
作者
Samoylovich MI; Talis AL;
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正文语种 eng
中图分类晶体学;
关键词
QUASI-CRYSTALS; POLYTOPES; GEOMETRY; AXES;

机译：准晶体;聚酯;几何;轴;

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Gosset helicoids: II. Second coordination sphere of eight-dimensional lattice E (8) and ordered noncrystalline tetravalent structures

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