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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)

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)

983
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...
983
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

950
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,...
950
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

899
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...
899
NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

1.3K
The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved...
1.3K
Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

902
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...
902

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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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随机量子Ising模型与三旋合的随机量子Ising模型.

Ferenc Iglói1,2, Yu-Cheng Lin3

  • 1Wigner Research Centre for Physics, Institute for Solid State Physics and Optics, H-1525 Budapest, Hungary.

Entropy (Basel, Switzerland)
|August 29, 2024
PubMed
概括
此摘要是机器生成的。

本研究探讨了使用实时空间块重规范化小组方法的随机横场Ising旋转链与多旋转相互作用的关键性质. 结果表明,三旋合的模型具有新的通用性类别.

关键词:
关键的现象 关键的现象混乱的系统是无序的系统.无限无序的固定点固定点.重规范化小组的重规范化小组.

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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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科学领域:

  • 凝聚物质物理学 凝聚物质物理学
  • 统计力学 统计力学
  • 量子自旋系统 量子自旋系统

背景情况:

  • 随机横场Ising模型是统计力学的一个基本模型.
  • 了解关键性质和相变对于描述材料至关重要.
  • 多旋转相互作用可以显著改变量子旋转系统的行为.

研究的目的:

  • 调查随机横场Ising旋转链与多旋转相互作用的关键性质.
  • 分析三旋合对模型相位转换的影响.
  • 确定这些模型是否属于一个新的普遍性类.

主要方法:

  • 实空间块重规范化组方法的应用.
  • 对任意块大小的分析,以恢复两个旋转相互作用模型的已知属性.
  • 对三旋联接模型的临界点的计算.

主要成果:

  • 再规范化方法成功地重现了已知的两个旋转相互作用模型的特性.
  • 三回旋合模型中的相位过渡是由无限无序的固定点控制的.
  • 确定了一个独特的典型的相关长度临界指数,与最近邻方合模型不同.

结论:

  • 随机横向场的Ising旋转链与三旋转合体代表了一个新的无限无序普遍性类.
  • 多旋互动引入了在更简单的模型中没有观察到的新型关键行为.
  • 这项研究扩大了对无序量子系统中普遍性类的理解.