On geometric tubular polyhedra of types 2₀₁ and 2₁.

IF 2.1 4区材料科学 Q3 CHEMISTRY, MULTIDISCIPLINARY

Acta Crystallographica Section A: Foundations and Advances Pub Date : 2026-05-01 Epub Date: 2026-04-28 DOI:10.1107/S2053273326003025

Daniel Pellicer, Gordon Williams

引用次数: 0

Abstract

In this paper we classify the two-orbit polyhedra in classes 2₀₁ and 2₁ that have a line preserved by their symmetry groups. Other classes of two-orbit polyhedra that have been previously classified include the chiral (or type 2) polyhedra, and the polyhedra in classes 2₀ and 2₂. Since all of those polyhedra are affinely irreducible, none of their symmetry groups preserve a line as we see in the examples studied here. The skeleta of the polyhedra described in this paper bear some similarities to carbon nanotubes; however there the vertices of their skeleta all have degree three, whereas the polyhedra studied here all have degree four.

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201型和21型几何管状多面体的研究。

本文对201类和21类双轨多面体进行了分类，它们的对称群保留了一条直线。其他已被分类的双轨多面体的类别包括手性（或2型）多面体，以及20类和22类多面体。因为所有这些多面体都是仿射不可约的，它们的对称群中没有一个像我们在这里研究的例子中看到的那样保持一条线。本文所描述的多面体骨架与碳纳米管有一些相似之处；然而它们骨骼的顶点都是三次，而这里研究的多面体都是四次。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Crystallographica Section A: Foundations and Advances CHEMISTRY, MULTIDISCIPLINARYCRYSTALLOGRAPH-CRYSTALLOGRAPHY

CiteScore

2.60

自引率

11.10%

发文量

419

期刊介绍： Acta Crystallographica Section A: Foundations and Advances publishes articles reporting advances in the theory and practice of all areas of crystallography in the broadest sense. As well as traditional crystallography, this includes nanocrystals, metacrystals, amorphous materials, quasicrystals, synchrotron and XFEL studies, coherent scattering, diffraction imaging, time-resolved studies and the structure of strain and defects in materials. The journal has two parts, a rapid-publication Advances section and the traditional Foundations section. Articles for the Advances section are of particularly high value and impact. They receive expedited treatment and may be highlighted by an accompanying scientific commentary article and a press release. Further details are given in the November 2013 Editorial. The central themes of the journal are, on the one hand, experimental and theoretical studies of the properties and arrangements of atoms, ions and molecules in condensed matter, periodic, quasiperiodic or amorphous, ideal or real, and, on the other, the theoretical and experimental aspects of the various methods to determine these properties and arrangements.

On geometric tubular polyhedra of types 201 and 21.

Abstract

On geometric tubular polyhedra of types 2₀₁ and 2₁.