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Related Concept Videos

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

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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...
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Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
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Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
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¹H NMR: Long-Range Coupling01:27

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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...
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"Best" Iterative Coupled-Cluster Triples Model? More Evidence for 3CC.

Nakul K Teke1, Ajay Melekamburath1, Bimal Gaudel1

  • 1Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States.

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The 3CC method offers more accurate computational thermochemistry than standard CCSD(T) and CCSDT models. This approach provides a cost-effective alternative for high-accuracy electronic structure calculations.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Electronic Structure Theory

Background:

  • Coupled-cluster (CC) models are essential for accurate electronic structure calculations.
  • Approximate inclusion of 3-body clusters has shown promise for improving CC model performance.
  • The standard CCSD(T) model, while accurate, can be computationally expensive.

Purpose of the Study:

  • To comprehensively evaluate the performance of the 3-body coupled-cluster (3CC) method for computational thermochemistry.
  • To assess 3CC's accuracy against a high-level reference (CCSDTQ) within the HEAT framework.
  • To investigate 3CC as a potential post-CCSD(T) method.

Main Methods:

  • A new spin-integrated 3CC method was implemented, applicable to both closed- and open-shell systems.
  • An automated toolchain was developed for the derivation, optimization, and evaluation of operator algebra in many-body electronic structure.
  • Calculations were performed using a double-ζ basis set and extrapolated to the complete basis set limit.

Main Results:

  • The 3CC method demonstrated significantly lower mean absolute errors in both electronic and atomization energies compared to CCSDT and CCSD(T) when using a double-ζ basis set.
  • In the complete basis set limit, 3CC atomization energies showed a substantial error reduction compared to CCSD(T).
  • The 3CC method exhibited mean absolute errors of 0.52 kJ/mol for atomization energies in the CBS limit, outperforming CCSD(T) (1.07 kJ/mol).

Conclusions:

  • The 3CC method is a viable and accurate candidate for post-CCSD(T) thermochemistry applications.
  • 3CC offers a more accurate and cost-effective alternative to CCSDT for general electronic structure calculations.
  • The developed automated toolchain facilitates the application of 3CC to diverse chemical systems.