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Hybridization of Atomic Orbitals II03:35

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sp3d and sp3d 2 Hybridization
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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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Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

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Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
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The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene...
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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.
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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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局部化活动空间方法与单元选择性合集群.

Abhishek Mitra1, Ruhee D'Cunha1, Qiaohong Wang2

  • 1Department of Chemistry, Chicago Center for Theoretical Chemistry, University of Chicago, Chicago, Illinois 60637, United States.

Journal of chemical theory and computation
|September 10, 2024
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概括
此摘要是机器生成的。

我们开发了一个新的量子算法,局部化的活跃空间单元选择性合集群单双 (LAS-USCCSD),以改进量子化学计算. 这种方法显著减少了计算资源,使复杂的模拟在当前量子硬件上更可行.

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科学领域:

  • 量子计算是一种量子计算.
  • 计算化学计算化学
  • 理论化学 理论化学

背景情况:

  • 准确的量子化学计算对于理解分子行为至关重要.
  • 混合量子-经典算法为解决复杂的化学问题提供了一个有希望的方法.
  • 短期量子计算机需要高效的算法来克服量子比特数量和连贯时间的限制.

研究的目的:

  • 引入和评估本地化活动空间单元选择性合集群单双 (LAS-USCCSD) 方法.
  • 评估LAS-USCCSD在减少量子化学模拟的计算成本方面的效率.
  • 为了证明LAS-USCCSD用于计算分子性质和磁性合常数的适用性.

主要方法:

  • 开发了LAS-USCCSD混合量子-经典算法.
  • 经典的局部化活动空间自相一致场 (LASSCF) 计算.
  • 选择性识别关键的集群幅度,用于变量量子自溶器 (VQE) 实现.
  • 与本地化活动空间单元合集群 (LAS-UCCSD) 方法进行基准测试.

主要成果:

  • LAS-USCCSD 显著减少了至少一个数量级的所需参数数量.
  • 该方法在计算 (H2) 2, (H2) 4 和跨-丁等系统的总能量时,达到与LAS-UCCSD相当的准确性.
  • 证明了对双金属化合物[Cr2(OH) 3(NH3) 6) 3+的磁性合常数的准确计算.
  • 观察到电路深度减少,这对近期量子硬件至关重要.

结论:

  • 拉斯-USCCSD为多参考量子化学计算提供了一种更有效的方法.
  • 该算法的减少参数和电路深度的能力对于在杂的中级量子 (NISQ) 设备上进行实际实施至关重要.
  • 这项工作为化学和材料科学中更容易获得和更准确的量子模拟铺平了道路.