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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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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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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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Can Single-Reference Coupled Cluster Theory Describe Static Correlation?

Ireneusz W Bulik1, Thomas M Henderson1,2, Gustavo E Scuseria1,2

  • 1Department of Chemistry, Rice University , Houston, Texas 77005-1892, United States.

Journal of Chemical Theory and Computation
|November 18, 2015
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Summary
This summary is machine-generated.

Coupled cluster theory struggles with strong correlation. A new singlet-paired coupled cluster model (CCD0) offers a stable, symmetry-adapted approach for accurately describing these challenging electronic structures.

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Area of Science:

  • Quantum chemistry
  • Computational physics
  • Electronic structure theory

Background:

  • Restricted single-reference coupled cluster theory (CCSD) excels for weakly correlated systems but fails with static or strong correlation.
  • Existing solutions like multireference coupled cluster, higher-body operators, or symmetry breaking have significant drawbacks.
  • Pair coupled cluster doubles (pCCD) offers a symmetry-adapted solution for strong correlations but is limited.

Purpose of the Study:

  • To develop a novel computational method that addresses the limitations of existing coupled cluster approaches for strongly correlated systems.
  • To generalize the pair coupled cluster doubles (pCCD) model to create a more versatile and robust method.
  • To retain the desirable properties of coupled cluster theory while improving stability in the presence of strong correlation.

Main Methods:

  • Generalization of the pair coupled cluster doubles (pCCD) ansatz to a singlet-paired coupled cluster model (CCD0).
  • Development of a method intermediate between coupled cluster doubles (CCD) and pCCD.
  • Retaining the full structure of coupled cluster theory, including fermionic wave functions and antisymmetric cluster amplitudes.

Main Results:

  • The developed CCD0 model provides a method that balances the invariances of CCD with the stability of pCCD.
  • CCD0 accurately models systems with strong correlations in a symmetry-adapted framework.
  • The method maintains well-defined response equations and density matrices, consistent with coupled cluster theory.

Conclusions:

  • The singlet-paired coupled cluster model (CCD0) offers a promising advancement for accurately describing strongly correlated electronic systems.
  • CCD0 provides a robust and computationally tractable alternative to existing methods that struggle with static or strong correlation.
  • This work advances the development of reliable quantum chemical methods for complex molecular systems.