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相关概念视频

Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)01:22

Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)

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Vicinal or three-bond coupling is commonly observed between protons attached to adjacent carbons. Here, nuclear spin information is primarily transferred via electron spin interactions between adjacent C‑H bond orbitals. This generally favors the antiparallel arrangement of spins, so 3J values are usually positive.
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the...
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¹H NMR: Long-Range Coupling01:27

¹H NMR: Long-Range Coupling

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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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Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

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Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
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The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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Coulomb's Law and The Principle of Superposition01:15

Coulomb's Law and The Principle of Superposition

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Coulomb's Law describes the force experienced by two point charges under each other's presence. But what if there are more than two charges? For example, if there is a third charge, does it experience a force that is a simple combination of the individual forces due to the first two charges? Can it be described mathematically?
The Principle of Superposition answers the question. Yes, Coulomb's Law applies to each pair of charges, and the net force on each charge is the vector sum of...
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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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Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations
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对比参数化和自我一致的方法,以开始空洞量子电动力学电子强合的电子强合.

Ruby Manderna1, Nam Vu1, Jonathan J Foley1

  • 1Department of Chemistry, University of North Carolina Charlotte, 9201 University City Bldv, Charlotte, North Carolina 07470A, USA.

The Journal of chemical physics
|November 1, 2024
PubMed
概括

强烈的光物质相互作用可以改变分子性质. 这项研究比较了两种ab initio空腔量子电动力学 (ai-QED) 方法,揭示了它们对电子光子合的处理方式的差异,这些差异可以用完整的基础集来解决.

科学领域:

  • 量子化学 是一个量子化学.
  • 洞穴 量子 电力学 量子电力学
  • 强烈的光物质相互作用

背景情况:

  • 在强或超强合下与光相互作用的分子表现出改变的化学特性.
  • 准确的理论描述需要量子力学处理物质和光子的自由度.
  • 最初的空腔量子电动力学 (ai-QED) 将量子化学与分子系统的空腔QED相结合.

研究的目的:

  • 分析和比较两个互补的ai-QED方法:参数化和自我一致.
  • 识别和理论上解决两种方法之间的电子光子合处理中的差异.
  • 评估这些ai-QED方法的计算成本和收性质.

主要方法:

  • 参数化ai-QED:一种使用预先计算的电子结构进行汉密尔顿构造的两步方法.
  • 自相一致的ai-QED:一种单步方法,将电子结构与光子自由度集成在一起.
  • 对化离子进行数值分析,以研究基数集合的收率和计算成本.

主要成果:

  • 在参数化和自相一致的ai-QED之间的双极自能运算子投影中发现了理论上的差异.
  • 这种差异在完整的轨道和多电子基的极限中得到解决.
  • 对HeH+的数值结果表明了差异及其分辨率,以及对极地和带电物种的可比光子收.

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Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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结论:

  • 参数化和自我一致的ai-QED方法对于研究强光物质相互作用都是有价值的.
  • 获得完整的基础集对于解决ai-QED中的理论差异至关重要.
  • 方法的选择可能取决于特定的系统要求和计算资源.