重新设计了陶莫交换-关联函数. II. II. II. II. II. II. II. II. II. II. II. II. II. II. II. II. II. II. 脱轨道化是如何实现的
H Francisco1, A C Cancio2, S B Trickey3
1Quantum Theory Project, Department of Physics, University of Florida, Gainesville, Florida 32611, USA.
The Journal of chemical physics
|December 1, 2023
概括
这项研究改进了陶莫交换函数,以提高量子化学计算的准确性. 它确定了去轨道化方法的问题,为纯密度函数提供了更可靠的方法.
科学领域:
- 量子化学 是一个量子化学.
- 计算材料科学科学 计算材料科学
- 密度函数理论 密度函数理论
背景情况:
- 陶莫交换功能性,虽然有效,但患有限度秩序问题和非物理行为.
- 之前的规范化努力改善了功能,但引入了复杂性.
- 脱轨化旨在将轨道依赖函数转换为纯密度函数.
研究的目的:
- 为了使简化,规范化的Tao-Mo (sregTM) 交换函数脱轨,变成纯密度函数.
- 分析梅希亚-罗德里格斯和特里基脱轨战略的失败情况.
- 为sregTM功能开发和评估一个更准确的去轨道化方法.
主要方法:
- 规范化Tao-Mo交换功能,以创建sregTM版本.
- 应用和分析Mejía-Rodríguez和Trickey的轨道化战略.
- 开发和测试一种经过修改的去轨道化方法,具有特殊的参数化.
主要成果:
- sregTM 功能保持了与之前的规范化版本可比的性能.
- 梅希亚-罗德里格斯和特里基策略在应用到sregTM功能和其前身时表现出重大失败.
- 一种经过修改的脱轨道化方法显示部分成功,但由于错误取消,不建议使用.
- 这项研究强调了复杂函数的脱轨道化引入的纠正错误的困难.
结论:
- 对于 sregTM 函数的脱轨道化,存在重大挑战.
- 梅希亚-罗德里格斯和特里基去轨道化方法对于复杂的两指标函数是有问题的.
- 仔细的参数化和分析对于从轨道依赖的函数来开发可靠的纯密度函数至关重要.
更多相关视频
08:04Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
8.5K
04:51Author Spotlight: Functionalizing Metal-Organic Frameworks: Advancements, Challenges, and the Power of Post-Synthetic Ligand Exchange
Published on: June 23, 2023
2.9K
相关概念视频
03:51Molecular Orbital Theory II
19.2K
Molecular Orbital Energy Diagrams
19.2K
02:35Molecular Orbital Theory I
32.1K
Overview of Molecular Orbital Theory
32.1K
03:35Hybridization of Atomic Orbitals II
32.3K
sp3d and sp3d 2 Hybridization
32.3K
03:24Hybridization of Atomic Orbitals I
47.1K
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...
47.1K
02:44Atomic Orbitals
33.6K
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.
33.6K
02:38Valence Bond Theory and Hybridized Orbitals
19.4K
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...
19.4K