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π Molecular Orbitals of 1,3-Butadiene01:24

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Conjugated dienes have lower heats of hydrogenation than cumulated and isolated dienes, making them more stable. The enhanced stabilization of conjugated systems can be understood from their π molecular orbitals.
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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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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.
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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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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.
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Positive-Parity Linear-Chain Molecular Band in ^{16}C.

Y Liu1, Y L Ye1, J L Lou1

  • 1School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China.

Physical Review Letters
|May 30, 2020
PubMed
Summary
This summary is machine-generated.

Researchers investigated the linear-chain clustering structure in carbon-16 using inelastic excitation and cluster-decay experiments. They identified resonances and determined decay paths, confirming predicted molecular bands in this neutron-rich nucleus.

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Area of Science:

  • Nuclear Physics
  • Nuclear Astrophysics
  • Quantum Chemistry

Background:

  • Investigating exotic nuclear structures like linear-chain clusters in neutron-rich nuclei is crucial for understanding nuclear forces and astrophysical processes.
  • The carbon-16 nucleus is theoretically predicted to exhibit unique linear-chain molecular configurations.
  • Experimental evidence for these exotic structures has been limited.

Purpose of the Study:

  • To experimentally investigate the predicted linear-chain clustering structure in the neutron-rich carbon-16 nucleus.
  • To determine the decay paths of carbon-16 resonances to specific states in daughter nuclei.
  • To identify and characterize new states associated with linear-chain molecular bands.

Main Methods:

  • Performed an inelastic excitation and cluster-decay experiment using the reaction ^{2}H(^{16}C,^{4}He+^{12}Be or ^{6}He+^{10}Be)^{2}H.
  • Utilized threefold coincident measurements to obtain well-resolved Q-value spectra.
  • Analyzed angular correlations and decay properties to assign quantum characteristics (Jπ) and configurations.

Main Results:

  • Successfully determined decay paths from carbon-16 resonances to final nuclei states for the first time.
  • Identified a close-threshold resonance at 16.5 MeV as the Jπ=0+ band head of a positive-parity linear-chain molecular band.
  • Observed other members of this band at 17.3, 19.4, and 21.6 MeV, consistent with theoretical predictions.
  • Discovered a high-lying state at 27.2 MeV, decaying predominantly to ^{6}He+^{10}Be, matching another predicted linear-chain structure.

Conclusions:

  • The experimental results provide strong evidence for the existence of linear-chain molecular structures in carbon-16.
  • The identified resonances and their decay properties confirm theoretical predictions of molecular bands.
  • This study opens new avenues for exploring exotic nuclear clustering phenomena.