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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.
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Irradiation of a spin-active nucleus causes an increase or decrease in the signal intensity of neighboring nuclei that are not necessarily chemically bonded or involved in J-coupling.  This phenomenon, called the Nuclear Overhauser Enhancement (NOE), results from through-space interactions between the nuclear spins. The NOE effect decreases with increasing internuclear distance and is generally not observed beyond 4 angstroms. In NOE, dipole-dipole interactions between neighboring...
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The probability of having two carbon-13 atoms next to each other is negligible because of the low natural abundance of carbon-13. Consequently, peak splitting due to carbon-carbon spin-spin coupling is not observed in spectra. However, protons up to three sigma bonds away split the carbon signal according to the n+1 rule, resulting in complicated spectra.
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Double Resonance Techniques: Overview01:12

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Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...
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¹H NMR: Interpreting Distorted and Overlapping Signals01:02

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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
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Heteronuclear correlation spectroscopy is an analytical technique that investigates the coupling between different types of nuclei, often a proton and an X-nucleus, such as carbon-13 or nitrogen-15. This method is commonly used in nuclear magnetic resonance (NMR) spectroscopy to gain insights into complex chemical compounds' structural and compositional aspects. A typical heteronuclear correlation spectrum displays X-nucleus chemical shifts on one axis and a proton spectrum on the other...
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Constraining CP Violating Nucleon-Nucleon Long-Range Interactions in Diatomic eEDM Searches.

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Searches for CP violation in molecules like HfF+ probe electron electric dipole moments (eEDM). A new nucleon-nucleon force also impacts these measurements, leading to a stringent new bound on this hypothetical interaction.

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Area of Science:

  • Atomic and Molecular Physics
  • Particle Physics
  • Nuclear Physics

Background:

  • Searches for CP violation in molecules (e.g., HfF+, ThO) typically probe the electron's electric dipole moment (eEDM).
  • These searches also offer sensitivity to new electron-nucleon and electron-electron interactions.
  • The presence of nuclear spin introduces a new CP-violating nucleon-nucleon long-range force that can influence eEDM measurements.

Purpose of the Study:

  • To derive a new bound on the hypothetical CP-violating nucleon-nucleon long-range force.
  • To provide a new interpretation of experimental results from eEDM searches.
  • To motivate independent searches for CP violation in different molecular species.

Main Methods:

  • Utilizing data from the HfF+ eEDM search experiment.
  • Analyzing the impact of a nonvanishing nuclear spin on CP violation measurements.
  • Deriving stringent bounds on hypothetical new physics interactions.

Main Results:

  • A new, stringent terrestrial bound has been derived for the CP-violating nucleon-nucleon long-range force.
  • This bound is the most stringent to date for interactions in the 1 eV-10 keV mass range.
  • The study highlights multiple sources of new physics contributing to CP violation signals.

Conclusions:

  • CP violation searches in diatomic molecules are sensitive to both eEDM and nucleon-nucleon forces.
  • The HfF+ experiment provides a powerful constraint on hypothetical nucleon-nucleon interactions.
  • Independent searches in diverse molecular systems are crucial for obtaining model-independent bounds on new physics.