对称的三周期多链:连锁环,多面体和棒
Michael O'Keeffe1, Michael M J Treacy2
1School of Molecular Sciences, Arizona State University, Tempe, Arizona 85287, USA.
Acta crystallographica. Section A, Foundations and advances
|January 9, 2025
概括
这项研究详细介绍了连接的几何形状如环和多面体的对称嵌入. 研究人员发现了连接三角形的无限结构,以及其他形状的有限对称形式.
科学领域:
- 几何几何学的几何学
- 材料科学 材料科学 材料科学
- 计算化学计算化学
背景情况:
- 对称嵌入对于理解复杂的分子和晶体结构至关重要.
- 以前的研究已经探索了更简单的形状的嵌入,但对连锁结构的系统研究是有限的.
研究的目的:
- 系统地调查和报告对称 (顶点和弧度过渡) 嵌入连锁环,多面体和杆的嵌入.
- 识别和描述由连接的三角形形成的对称结构的无限家族.
- 列出所有对称结构的连接方形,六角形,四面体,八面体,立方体和棒.
主要方法:
- 利用图形理论和计算方法来生成和分析嵌入式.
- 专注于顶点和弧度过渡对称条件.
- 系统地探索各种几何原体的连接模式.
主要成果:
- 发现了连接的三角形对称嵌入的无限家族,特别是连接到三个或六个邻居的三角形.
- 确定了有限的,少量的对称嵌入点,用于连接方形,六角形,四面体,八面体,立方体和杆.
- 这些形状的所有已识别的对称结构都已被目录.
结论:
- 连锁结构的对称嵌入表现出多样化的行为,无限的家庭来自简单的图案,如三角形.
- 对称嵌入的复杂性和数量随着几何原始的类型而有很大差异.
- 这项工作提供了对称结构的基础目录,在材料设计和纳米技术中具有潜在的应用.
更多相关视频
09:35Preparation of a Corannulene-functionalized Hexahelicene by CopperI-catalyzed Alkyne-azide Cycloaddition of Nonplanar Polyaromatic Units
Published on: September 18, 2016
11.4K
06:55Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
7.8K
相关概念视频
Aromatic Hydrocarbon Cations: Structural Overview
2.7K
Cycloheptatriene is a neutral monocyclic unsaturated hydrocarbon that consists of an odd number of carbon atoms and an intervening sp3 carbon in the ring. The three double bonds in the ring correspond to 6 π electrons, which is a Huckel number, and therefore satisfies the criteria of 4n + 2 π electrons. However, the intervening sp3 carbon disrupts the continuous overlap of p orbitals. As a result, cycloheptatriene is not aromatic.
Removing one hydrogen from the intervening CH2 group...
Removing one hydrogen from the intervening CH2 group...
2.7K
Conformations of Cyclohexane
12.1K
Cyclohexane does not exist in a planar form due to the high angle and torsional strain it would experience in the planar structure. Instead, it adopts non-planar chair and boat conformations.
The chair form is the most stable and derives its name from its resemblance to the “easy chair.” In the chair conformation, two carbon atoms are arranged out-of-plane — one above and one below, minimizing the torsional strain. In the chair form, the bond angle is very close to the ideal...
The chair form is the most stable and derives its name from its resemblance to the “easy chair.” In the chair conformation, two carbon atoms are arranged out-of-plane — one above and one below, minimizing the torsional strain. In the chair form, the bond angle is very close to the ideal...
12.1K
Aromatic Hydrocarbon Anions: Structural Overview
2.6K
Neutral hydrocarbons like cyclopentadiene with an odd number of carbon atoms and one intervening CH2 group in the ring are not aromatic. Cyclopentadiene with 4 π electrons does not satisfy the 4n + 2 π electron rule. Additionally, the intervening CH2 group is sp3 hybridized and lacks a vacant p orbital, thereby interrupting the overlap of p orbitals in a continuous manner and preventing the delocalization of π electrons throughout the ring.
Due to the absence of continuous...
Due to the absence of continuous...
2.6K
Conformations of Cycloalkanes
11.5K
Adolf von Baeyer attempted to explain the instabilities of small and large cycloalkane rings using the concept of angle strain — the strain caused by the deviation of bond angles from the ideal 109.5° tetrahedral value for sp3 hybridized carbons. However, while cyclopropane and cyclobutane are strained, as expected from their highly compressed bond angles, cyclopentane is more strained than predicted, and cyclohexane is virtually strain-free. Hence, Baeyer’s theory that...
11.5K
Cycloalkanes
12.1K
Cycloalkanes are saturated cyclic hydrocarbons with carbon atoms arranged in the form of rings. They have two fewer hydrogen atoms than the corresponding acyclic alkane; therefore, their general formula is CnH2n. The structural formulas of cycloalkanes are simplified using the line-angle representation. The regular polygons are used to represent the cycloalkane rings, with each side representing a carbon-carbon bond.
The IUPAC nomenclature of cycloalkanes follows similar rules that apply to...
The IUPAC nomenclature of cycloalkanes follows similar rules that apply to...
12.1K
Chair Conformation of Cyclohexane
14.3K
The chair conformation is the most stable form of cyclohexane due to the absence of angle and torsional strain. The absence of angle strain is a result of cyclohexane’s bond angle being very close to the ideal tetrahedral bond angle of 109.5° in its chair conformer. Similarly, the torsional strain is also absent owing to the perfectly staggered arrangement of bonds.
The hydrogen atoms linked to carbons are arranged in two different axial and equatorial orientations to achieve this...
The hydrogen atoms linked to carbons are arranged in two different axial and equatorial orientations to achieve this...
14.3K
