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Molecular Orbital Theory I02:35

Molecular Orbital Theory I

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Overview of Molecular Orbital Theory
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Molecular Orbital Theory II03:51

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Molecular Orbital Energy Diagrams
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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...
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Hybridization of Atomic Orbitals I03:24

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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...
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Band Theory02:35

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When two or more atoms come together to form a molecule, their atomic orbitals combine and molecular orbitals of distinct energies result. In a solid, there are a large number of atoms, and therefore a large number of atomic orbitals that may be combined into molecular orbitals. These groups of molecular orbitals are so closely placed together to form continuous regions of energies, known as the bands.
The energy difference between these bands is known as the band gap.
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Atomic Orbitals02:44

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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.
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相关轨道理论是否能改善类似PBE的功能?

Rodrigo A Mendes1, Zachary W Windom1, Roberto L A Haiduke2

  • 1Quantum Theory Project, University of Florida, Gainesville, Florida 32611, USA.

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概括
此摘要是机器生成的。

相关轨道理论 (COT) 通过结合电子相关性来改进Kohn-Sham密度函数理论 (KS-DFT). 将COT应用于像PBE0这样的混合函数,可以提高它们对各种化学性质的准确性.

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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
  • 理论物理 理论物理

背景情况:

  • 相关轨道理论 (COT) 为电子结构计算提供了一个精确的单粒子框架.
  • COT对Kohn-Sham固有值施加物理约束,直接包括分子轨道中的电子相关性.
  • 这提升了Kohn-Sham密度函数理论 (KS-DFT) 的近似值.

研究的目的:

  • 调查相关轨道理论 (COT) 是否可以增强超越CAM-B3LYP的混合交换-相关函数.
  • 探索使用COT对PBE0,TPSS0和LC-PBE0的优化策略.
  • 评估COT对基本KS-DFT挑战和化学特性的影响.

主要方法:

  • 实施了两个优化策略:电离潜力和HOMO-LUMO条件.
  • 应用这些策略来调整 PBE0,TPSS0 和 LC-PBE0 函数中的参数.
  • 对KS-DFT"魔鬼三角" (自我相互作用错误,整数不连续性,光谱) 和诸如电荷转移和反应障碍等属性的性能进行评估.

主要成果:

  • 强制执行COT条件有系统地提高了PBE家族函数的性能.
  • 电离潜力和HOMO-LUMO条件有效地解决了自我相互作用误差和整数不连续性.
  • 电荷转移特性在COT下显著增强.

结论:

  • 相关轨道理论 (COT) 提供了一条可行的途径来改善KS-DFT内的混合功能.
  • 经过COT优化的功能表现显示了电子结构和电荷转移的更高准确性.
  • 为了准确预测反应屏障高度,需要进一步精细化.