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¹H NMR: Complex Splitting01:13

¹H NMR: Complex Splitting

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A proton M that is coupled to a proton X results in doublet signals for M. However, NMR-active nuclei can be simultaneously coupled to more than one nonequivalent nucleus. When M is coupled to a second proton A, such as in styrene oxide, each peak in the doublet is split into another doublet.
Splitting diagrams or splitting tree diagrams are routinely used to depict such complex couplings. While drawing splitting diagrams, the splitting with the larger coupling constant is usually applied...
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When solids, liquids, or condensed gases are heated sufficiently, they radiate some of the excess energy as light. Photons produced in this manner have a range of energies, and thereby produce a continuous spectrum in which an unbroken series of wavelengths is present.
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¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

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

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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...
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Mass Spectrum01:23

Mass Spectrum

3.2K
A mass spectrum is the graphical representation of the relative abundance of the charged fragments in an analyte plotted against their mass-to-charge ratio (m/z). The plot's x axis represents the ratio of the mass of the charged fragment to the elementary charge it carries. The y axis of the plot represents the relative abundance of each charged species. The relative abundance is calculated from the signal intensity of each charged species recorded at the detector. The most intense signal (the...
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¹³C NMR: ¹H–¹³C Decoupling01:04

¹³C NMR: ¹H–¹³C Decoupling

1.3K
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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Explaining the Many Threshold Structures in the Heavy-Quark Hadron Spectrum.

Xiang-Kun Dong1,2, Feng-Kun Guo1,2, Bing-Song Zou1,2,3

  • 1CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China.

Physical Review Letters
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Researchers explain the abundance of near-threshold peaks in heavy quarkonium. Attractive interactions at thresholds cause these structures, revealing crucial details about heavy-hadron interactions and puzzling hidden-charm and hidden-bottom states.

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Area of Science:

  • Nuclear Physics
  • Particle Physics
  • Quantum Chromodynamics

Background:

  • Recent experimental advances have revealed numerous resonant structures near heavy hadron pair thresholds.
  • The presence of these structures, particularly S-wave thresholds, suggests underlying universal phenomena.

Purpose of the Study:

  • To explain the prevalence of near-threshold peaks in the heavy quarkonium spectrum.
  • To provide a theoretical framework for understanding threshold phenomena in systems with heavy quarks.

Main Methods:

  • Construction of a nonrelativistic effective field theory incorporating open decay channels.
  • Analysis of general threshold behavior within this effective field theory framework.

Main Results:

  • Demonstrated that threshold cusps manifest as peaks only in channels with attractive interactions.
  • Established an inverse relationship between cusp width and the reduced mass of the threshold system.
  • Predicted the existence of threshold structures in invariant mass distributions for various heavy quarkonium and light hadron combinations.

Conclusions:

  • Threshold structures are a general feature of heavy-quark/heavy-antiquark hadron pairs with attractive interactions.
  • Observing these structures is key to understanding heavy-hadron interactions and the nature of hidden-charm and hidden-bottom states.