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Hybridization of Atomic Orbitals I03:24

Hybridization of Atomic Orbitals I

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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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Molecular Orbital Theory I02:35

Molecular Orbital Theory I

32.1K
Overview of Molecular Orbital Theory
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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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Molecular Orbital Theory II03:51

Molecular Orbital Theory II

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Molecular Orbital Energy Diagrams
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The Energies of Atomic Orbitals03:21

The Energies of Atomic Orbitals

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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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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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Updated: Jun 29, 2025

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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变量量子Eigensolver的自一致场方法:轨道优化变得适应性

Aaron Fitzpatrick1,2, Anton Nykänen1, N Walter Talarico1

  • 1Algorithmiq Ltd, Kanavakatu 3C, Helsinki FI-00160, Finland.

The journal of physical chemistry. A
|March 28, 2024
PubMed
概括
此摘要是机器生成的。

我们引入了一种新的量子模拟方法,ADAPT-VQE-SCF,用于化学. 这种方法有效地模拟了近期量子计算机上的分子,使用更少的量子位和资源.

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科学领域:

  • 量子化学 是一个量子化学.
  • 计算化学的计算化学
  • 量子计算是一种量子计算.

背景情况:

  • 近期的量子计算机需要高效的化学模拟算法.
  • 变量量子Eigensolver (VQE) 是一个有希望的方法,但往往需要深度电路.
  • 准确的量子化学模拟对于理解分子行为至关重要.

研究的目的:

  • 为量子模拟开发一种硬件效率高的自一致场 (SCF) 方法.
  • 为了在近期量子设备上实现精确的量子化学.
  • 为了减少基于VQE的模拟对量子位的要求和电路深度.

主要方法:

  • 在自适应衍生组装问题量身定制的Ansatz VQE (ADAPT-VQE) 框架内实施了一种自我一致的场域 (SCF) 方法.
  • 通过将正确到第二阶的能量表达式最小化,生成浅深的量子电路.
  • 在每个 ADAPT-VQE 代中执行同时轨道优化.

主要成果:

  • 在轨道优化中实现了收,而没有显著增加两量子比特门.
  • 通过对铁素的计算证明了效率.
  • 与以前的方法相比,ADAPT-VQE-SCF需要更少的量子比特.

结论:

  • ADAPT-VQE-SCF为量子化学模拟提供了一个硬件效率高的替代方案.
  • 这种方法可以使用大型原子轨道基础集.
  • 在量子计算机上为定量量子化学的范式转变铺平了道路.