分析和无参数的赫克尔理论使对称的H集群成为可能
1Department of Chemical and Biomolecular Engineering, University of Illinois Urbana-Champaign, Urbana, Illinois 61820, United States.
The journal of physical chemistry. A
|September 13, 2023
概括
一个新的,无参数的数学框架准确地预测了多边形的化学键能量. 这种紧密结合的方法为复杂的量子化学方法提供了更简单,更准确的替代方案.
科学领域:
- 理论化学 理论化学
- 量子化学 是一个量子化学.
- 材料科学 材料科学 材料科学
背景情况:
- 准确的化学键能量的预测通常需要在数学模型中进行广泛的参数化.
- 现有的方法往往难以平衡简单性和高准确性.
研究的目的:
- 开发一个简单的,无参数的数学框架来预测化学键的能量.
- 准确计算多边形 (Hx,2 ≤ x ≤ 15) 在它们的基本状态中的相对能量.
主要方法:
- 开发了一个紧密结合类型的数学框架.
- 将Hückel理论重新构成密度函数理论 (DFT) 形式.
- 利用安德森和亚当斯-吉尔伯特理论用于局部轨道.
主要成果:
- 在预测Hx多边形的相对能量方面取得了很高的准确性.
- 证明的平均绝对误差为边长的~0.02 Å,能量最小的~0.15 eV/原子.
- 展示了与通用梯度近似 (GGA) 相当的准确性,并且优于参数化的紧密结合和反应电位.
结论:
- 这种新的框架为化学键能量的准确,无参数的预测提供了.
- 这种方法对Hx系统的现有半实证方法提供了显著的进步.
- 理论框架可以概括为多电子原子系统.
相关概念视频
Criteria for Aromaticity and the Hückel 4n + 2 Rule
10.7K
Like benzene, cyclobutadiene and cyclooctatetraene are cyclic compounds with alternate single and double bonds. However, their chemical behavior differs from benzene, as they are unstable and not aromatic. So, what are the structural characteristics of unsaturated compounds categorized as aromatic?
For the first time, Eric Hückel, a German chemical physicist, derived a set of structural features for a compound to be classified as aromatic. This is now known as...
For the first time, Eric Hückel, a German chemical physicist, derived a set of structural features for a compound to be classified as aromatic. This is now known as...
10.7K
Aromatic Hydrocarbon Cations: Structural Overview
2.8K
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...
2.8K
Woodward–Hoffmann Selection Rules and Microscopic Reversibility
3.1K
Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
3.1K
Hückel's Rule Diagram of π MOs: Frost Circle
4.5K
The Frost circle or the inscribed polygon method is a graphical method for determining the relative energies of π molecular orbitals (MOs) for planar, fully conjugated, and monocyclic compounds. This method was first described by A. A. Frost and Boris Musulin in 1953.
A Frost circle is constructed by drawing a polygon whose number of edges is equal to the number of carbons of the given cyclic system, with one of the vertices pointing down. Then, a circle is drawn enclosing the polygon so...
A Frost circle is constructed by drawing a polygon whose number of edges is equal to the number of carbons of the given cyclic system, with one of the vertices pointing down. Then, a circle is drawn enclosing the polygon so...
4.5K
The Aufbau Principle and Hund's Rule
50.0K
To determine the electron configuration for any particular atom, we can build the structures in the order of atomic numbers. Beginning with hydrogen, and continuing across the periods of the periodic table, we add one proton at a time to the nucleus and one electron to the proper subshell until we have described the electron configurations of all the elements. This procedure is called the aufbau principle, from the German word aufbau (“to build up”). Each added electron occupies the...
50.0K
Frost Circles for Different Conjugated Systems
2.7K
The inscribed polygon method is consistent with Hückel’s 4n + 2 rule and helps to learn whether the given cyclic compound is aromatic or not. The compound is stable and aromatic if every bonding molecular orbital (MO) is completely filled with a pair of electrons. However, if the non-bonding or antibonding orbitals are filled with electrons, the compound is unstable and not aromatic. Consider the Frost circle diagrams for cycloalkenes containing 4 to 8 carbons.
2.7K


