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Related Concept Videos

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...
2.6K
NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

2.9K
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...
2.9K
Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)01:22

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

1.4K
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...
1.4K
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule01:10

Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule

2.4K
In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1  triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the...
2.4K
¹H NMR Signal Multiplicity: Splitting Patterns01:13

¹H NMR Signal Multiplicity: Splitting Patterns

6.5K
When protons A and X are coupled, their nuclear spin energy levels are slightly modified. This is because the energy required to excite proton A to a spin state parallel to proton X is slightly different from the energy required for it to become anti-parallel to spin X. Consequently, there are two possible excitation frequencies for A (A1 and A2), depending on the spin state of X, and vice versa. The mutual nature of coupling implies that the difference between frequencies A1 and A2, indicated...
6.5K
Atomic Nuclei: Nuclear Magnetic Moment00:59

Atomic Nuclei: Nuclear Magnetic Moment

3.1K
All atomic nuclei are positively charged. When they have a nonzero spin, they behave like rotating charges. As a consequence of their charge and spin, these nuclei generate a magnetic field (B). This, in turn, gives rise to a magnetic moment (μ), which is randomly oriented in the absence of an external magnetic field. When an external magnetic field (B0) is applied, the magnetic moment vectors can align with the field or against it in 2 + 1 orientations. A hydrogen nucleus, which is just a...
3.1K

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Inferring three-nucleon couplings from multi-messenger neutron-star observations.

Rahul Somasundaram1,2, Isak Svensson3,4,5, Soumi De6

  • 1Department of Physics, Syracuse University, Syracuse, NY, USA. rsomasundaram@lanl.gov.

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This summary is machine-generated.

This study links neutron star observations to nuclear physics, constraining three-nucleon interactions in dense matter. Future observations promise even tighter constraints on these fundamental couplings.

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Area of Science:

  • Nuclear Physics
  • Astrophysics
  • Theoretical Physics

Background:

  • Understanding nucleon interactions in dense matter is crucial for nuclear physics.
  • Effective field theories are key for low-energy nuclear interactions.
  • The applicability of these theories within neutron stars remains an open question.

Purpose of the Study:

  • Develop a framework to infer three-nucleon couplings from neutron star observations.
  • Connect microscopic quantum field theory couplings to macroscopic astrophysical data.
  • Test consistency between terrestrial and astrophysical measurements of nuclear interactions.

Main Methods:

  • Developed a novel framework for inferring three-nucleon couplings.
  • Applied the framework to LIGO/Virgo event GW170817 and Neutron Star Interior Composition Explorer (NICER) data.
  • Utilized chiral effective field theory for describing nuclear interactions.

Main Results:

  • Established direct constraints on three-nucleon couplings in dense matter.
  • Demonstrated the potential of future neutron star merger observations for stringent coupling constraints.
  • Showcased a method to link microscopic couplings to macroscopic neutron star properties.

Conclusions:

  • Successfully connected quantum field theory couplings to astrophysical observations.
  • Provided a pathway to test consistency between low-energy nuclear couplings from different data sources.
  • Highlighted the power of astrophysical observations in constraining fundamental nuclear physics.