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Exceptions to the Octet Rule02:55

Exceptions to the Octet Rule

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Many covalent molecules have central atoms that do not have eight electrons in their Lewis structures. These molecules fall into three categories:
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Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

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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...
1.5K
NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

3.0K
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...
3.0K
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

1.4K
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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Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

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

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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...
1.6K
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 involved orbitals. The...
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Video Experimental Relacionado

Updated: Jan 22, 2026

Wet-spinning-based Molding Process of Gelatin for Tissue Regeneration
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Superfluidez Fermiónica Excepcional Inducida por Desapareamiento de Espín

Soma Takemori1, Kazuki Yamamoto1, Akihisa Koga1

  • 1Institute of Science Tokyo, Department of Physics, Meguro, Tokyo 152-8551, Japan.

Physical review letters
|January 20, 2026
PubMed
Resumen
Este resumen es generado por máquina.

El desapareamiento de espín en sistemas no Hermíticos estabiliza un superfluido fermiónico excepcional. Esta fase única presenta puntos excepcionales dentro del estado superfluido, a diferencia de modelos anteriores donde solo señalan la ruptura.

Palabras clave:
superfluidez fermiónica excepcionalsistemas no Hermíticosdesapareamiento de espínpuntos excepcionalesfísica de la materia condensada

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Área de la Ciencia:

  • Física de la Materia Condensada
  • Mecánica Cuántica
  • Física Topológica

Sus antecedentes:

  • Los sistemas no Hermíticos (NH) exhiben fenómenos únicos que no se encuentran en los sistemas Hermíticos.
  • La superfluidez fermiónica es un estado clave en la física de la materia condensada.
  • El salto asimétrico resuelto por espín introduce la no reciprocidad.

Objetivo del estudio:

  • Investigar el modelo de Hubbard atractivo no Hermítico con desapareamiento de espín.
  • Caracterizar el nuevo estado superfluido estabilizado por el desapareamiento de espín.
  • Comprender el papel de los puntos excepcionales (EPs) en este superfluido NH.

Principales métodos:

  • Análisis teórico del modelo de Hubbard atractivo NH.
  • Examen del salto asimétrico resuelto por espín.
  • Análisis de la dispersión de energía compleja y la densidad de estados.
  • Investigación de la interacción entre EPs y las propiedades del sistema.

Principales resultados:

  • El desapareamiento de espín estabiliza un estado superfluido NH único.
  • Esta "superfluidez fermiónica excepcional" se caracteriza por EPs dentro de la fase superfluida.
  • Los EPs surgen de la interacción entre los EPs y la densidad de estados efectiva.
  • El estado superfluido se rompe bajo un fuerte desapareamiento de espín en una red cúbica, pero permanece robusto en una red cuadrada.

Conclusiones:

  • El desapareamiento de espín crea un nuevo estado superfluido topológico en sistemas NH.
  • Los puntos excepcionales son parte integral de la fase superfluida, no solo de su límite.
  • La geometría de la red influye en la robustez de este estado superfluido excepcional.