自然轨道的对称平衡
Jerzy Cioslowski1, Krzysztof Strasburger2
1Institute of Physics, University of Szczecin, Wielkopolska 15, 70-451 Szczecin, Poland.
The journal of physical chemistry letters
|October 10, 2023
概括
对称性等同发生原理揭示了自然轨道 (NO) 如何在基于对称性的不可减少表示 (irreps) 中分布. 对于可解析的点群,这种分布与irrep维度的平方成比例.
科学领域:
- 量子化学 是一个量子化学.
- 计算化学计算化学
- 对称性分析对称性分析
背景情况:
- 自然轨道 (NO) 描述了分子中的电子分布.
- 点群对称性对于理解分子性质至关重要.
- 在对称性转换器中NOs的分配是电子结构的一个关键方面.
研究的目的:
- 介绍并严格证明对称等效原理.
- 量化NOs在分子点组不可减小的表示 (irreps) 中的分布.
- 为了确定NO分布和点群对称性属性之间的关系.
主要方法:
- 对称性等同发生原理的理论推导和证明.
- 分析NO职业数和它们与对称性的相关性.
- 适用于各种可解决,准可解决和不可解决的点群.
主要成果:
- 该原理指出,对称率 (NO分布概率) 与可解析点群的irrep维度的平方成比例.
- 为Cs,C2v,C3v,C4v,C6v,D2h,D3h,D4h,D6h和Oh等组提供了严格的证明.
- 该原理的适用性受到对称平面的数量所限制,对于缺乏足够对称元素的群体而言是失败的.
结论:
- 对称性等效原理提供了基于分子对称性的NO分布的定量衡量.
- 该原理对于具有充足对称平面的群体是可靠的,但对于不那么对称的群体需要修改.
- 这项工作为电子波函数的对称驱动行为提供了基本的见解.
更多相关视频
09:00Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser
Published on: June 28, 2018
10.0K
00:07A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
8.5K
相关概念视频
Atomic Orbitals
33.7K
An atomic orbital represents the three-dimensional regions in an atom where an electron has the highest probability to reside. The radial distribution function indicates the total probability of finding an electron within the thin shell at a distance r from the nucleus. The atomic orbitals have distinct shapes which are determined by l, the angular momentum quantum number. The orbitals are often drawn with a boundary surface, enclosing densest regions of the cloud.
33.7K
Molecular Orbital Theory I
32.2K
Overview of Molecular Orbital Theory
32.2K
Hybridization of Atomic Orbitals I
47.2K
The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
47.2K
The Pauli Exclusion Principle
38.1K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
38.1K
Valence Bond Theory and Hybridized Orbitals
19.5K
According to valence bond theory, a covalent bond results when: (1) an orbital on one atom overlaps an orbital on a second atom, and (2) the single electrons in each orbital combine to form an electron pair. The strength of a covalent bond depends on the extent of overlap of the orbitals involved. Maximum overlap is possible when the orbitals overlap on a direct line between the two nuclei.
A σ bond (single bond in a Lewis structure) is a covalent bond in which the electron density is...
A σ bond (single bond in a Lewis structure) is a covalent bond in which the electron density is...
19.5K
Molecular Orbital Theory II
19.3K
Molecular Orbital Energy Diagrams
19.3K
