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相关概念视频

Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

935
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,...
935
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

872
In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
872
Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)01:22

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

1.0K
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...
1.0K
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

956
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...
956
Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

864
NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
864
Valence Bond Theory02:42

Valence Bond Theory

8.4K
Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
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Updated: Jun 3, 2025

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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从旋转适应配置交互的有效哈密尔顿数.

Arta A Safari1, Nikolay A Bogdanov1

  • 1Max-Planck-Institute for Solid State Research, 70569 Stuttgart, Germany.

Journal of chemical theory and computation
|January 8, 2025
PubMed
概括
此摘要是机器生成的。

本研究提出了一种新的方法,用于提取局部旋转S ≥ 1的多站点系统中的磁相互作用. 该方法使用有效的哈密尔顿数和图形方法来分析磁性合,在一个[CaMn3(IV) O4]立方体上证明了这一点.

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Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser
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Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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Site Directed Spin Labeling and EPR Spectroscopic Studies of Pentameric Ligand-Gated Ion Channels
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Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser
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科学领域:

  • 量子力学就是量子力学.
  • 固态物理 固态物理
  • 计算化学是一种计算化学.

背景情况:

  • 对磁相互作用的准确建模对于理解材料至关重要.
  • 现有的提取磁性合器的方法可以在范围上受到限制.
  • 有效的哈密尔顿式为简化复杂量子系统提供了一个框架.

研究的目的:

  • 开发一种用于提取磁相互作用的通用程序.
  • 将这种方法应用于具有局部旋转S ≥ 1的多站点系统.
  • 为了获得自旋链中的磁性合的封闭式表达式.

主要方法:

  • 使用有效的哈密尔顿对磁相互作用.
  • 采用角度动量的图形方法.
  • 执行ab initio计算来提取磁性合器.
  • 扩展到非顺序合方案,用于增强对称性分析.

主要成果:

  • 一种适用于S ≥ 1的系统的通用提取程序.
  • 对于任意等旋链中的磁性合的封闭,非递归的表达式.
  • 使用 [CaMn3(IV) O4] cubane. 的方法的成功说明.
  • 展示非顺序合方案如何揭示额外的对称性.

结论:

  • 提出的方法为分析复杂自旋系统中的磁相互作用提供了一个强大的方法.
  • 衍生式简化了自旋链中的磁性合的计算.
  • 该技术对计算材料科学和凝聚物质物理学有价值.
  • 扩展到非顺序的方案增强了旋转汉密尔顿对称的描述.