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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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Hybridization of Atomic Orbitals I03:24

Hybridization of Atomic Orbitals I

46.6K
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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Hybridization of Atomic Orbitals II03:35

Hybridization of Atomic Orbitals II

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sp3d and sp3d 2 Hybridization
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Atomic Orbitals02:44

Atomic Orbitals

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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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Molecular Orbital Theory II03:51

Molecular Orbital Theory II

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Molecular Orbital Energy Diagrams
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Valence Bond Theory and Hybridized Orbitals02:38

Valence Bond Theory and Hybridized Orbitals

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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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Updated: Jun 12, 2025

Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations
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Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations

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使用布洛克内在原子轨道的万尼尔函数定位.

Andrew Zhu1, David P Tew1

  • 1Physical & Theoretical Chemistry Laboratory, University of Oxford, Oxford OX1 3QZ, U.K.

The journal of physical chemistry. A
|September 19, 2024
PubMed
概括
此摘要是机器生成的。

我们开发了一种新方法,使用内在原子轨道 (IAO) 精确地定位晶体中的电子特性. 这种方法提高了对固态系统中化学结合的理解.

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Characterization of Surface Modifications by White Light Interferometry: Applications in Ion Sputtering, Laser Ablation, and Tribology Experiments
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Atomic Layer Deposition of Vanadium Dioxide and a Temperature-dependent Optical Model
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相关实验视频

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Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations
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Characterization of Surface Modifications by White Light Interferometry: Applications in Ion Sputtering, Laser Ablation, and Tribology Experiments
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Atomic Layer Deposition of Vanadium Dioxide and a Temperature-dependent Optical Model
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Atomic Layer Deposition of Vanadium Dioxide and a Temperature-dependent Optical Model

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科学领域:

  • 固态物理和量子化学.
  • 计算材料科学.计算材料科学.
  • 电子结构理论. 电子结构理论.

背景情况:

  • 精确地定位电子波函数对于理解化学键和材料特性至关重要.
  • 对于Wannier函数局部化的现有方法可能是计算密集的,并且可能与某些电子频段进行斗争.

研究的目的:

  • 将分子轨道定位的内在原子轨道 (IAO) 方法扩展到晶体中概括的万尼尔函数的计算.
  • 为布洛赫函数的初始相位对齐引入一个计算效率高,一次性糖尿病瓦尼化程序.
  • 在各种固态系统上验证开发的Wannier本地化技术.

主要方法:

  • 对分子轨道定位的内在原子轨道 (IAO) 方法的扩展到晶体系统.
  • 实施一次性糖尿病瓦尼化程序,以快速调整布洛赫函数的相位.
  • 在各种固态材料上测试Wannier定位,包括表面吸附系统.

主要成果:

  • 使用扩展的IAO方法在晶体中成功计算了局部化的通用Wannier函数.
  • 证明糖尿病制剂的有效性,以便立即定位Wannier,特别是在核心频段.
  • 来自Bloch IAOs的Wannier函数部分电荷显示出与化学直觉的强烈一致,例如在MgO上的CO吸附.

结论:

  • 扩展的IAO方法为固体中的Wannier函数定位提供了一个强大的方法.
  • 糖尿病制剂显著提高了Wannier定位的效率和准确性,特别是在具有挑战性的电子结构中.
  • 这项工作为研究材料中的化学键和电子性质提供了有价值的工具,具有高保真度.