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Molecular Orbital Theory II03:51

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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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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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In an atom, the negatively charged electrons are attracted to the positively charged nucleus. In a multielectron atom, electron-electron repulsions are also observed. The attractive and repulsive forces are dependent on the distance between the particles, as well as the sign and magnitude of the charges on the individual particles. When the charges on the particles are opposite, they attract each other. If both particles have the same charge, they repel each other.
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重新设计陶莫交换相关函数. 三,第三部分. 改进的脱轨道化战略和忠实的脱轨道化

H Francisco1, A C Cancio2, S B Trickey3

  • 1Quantum Theory Project, Department of Physics, University of Florida, Gainesville, Florida 32611, United States.

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概括

这项研究改善了Tao-Mo交换函数的脱轨道化方法,提高了分子性质的准确性. 新方法提供了更准确的化学区域指标和更好的3D元素磁化预测.

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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:

  • 陶莫交换函数为电子结构计算提供了一种简化,规范化的方法.
  • 以前的去轨道化方法显示出局限性,特别是在预测形成的分子热量方面.
  • 准确的脱轨是解释和应用轨道依赖函数的关键.

研究的目的:

  • 为陶莫交换功能开发一个改进的去轨道化方案.
  • 为了实现对父轨道依赖的函数的更大忠诚度.
  • 为了提高脱轨化学区域指标和磁性特性的准确性.

主要方法:

  • 扩大梅希亚-罗德里格斯和特里基的轨道化战略.
  • 使用光滑的替代物来减少密度的拉普拉西亚 (q).
  • 为了合理化改进,将q < 0的截止值纳入.

主要成果:

  • 新的去轨道化方案产生了更接近母Tao-Mo函数的结果.
  • 与以前的方法相比,除轨道化化学区域指标的精度提高了.
  • 成功复制了母函数的良好的3d元素磁化.

结论:

  • 增强的去轨道化策略显著提高了Tao-Mo交换函数的忠实性和准确性.
  • 这一进步为电子结构计算和材料性质预测提供了更可靠的工具.
  • 对q < 0切线的合理化为脱轨机制提供了更深入的洞察力.