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Related Concept Videos

NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved in...
¹H NMR: Long-Range Coupling01:27

¹H NMR: Long-Range Coupling

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 π orbitals.
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

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.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must have a...
Double Resonance Techniques: Overview01:12

Double Resonance Techniques: Overview

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...
Hybridization of Atomic Orbitals II03:35

Hybridization of Atomic Orbitals II

sp3d and sp3d 2 Hybridization
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

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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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

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Published on: April 8, 2020

Multireference state-specific Mukherjee's coupled cluster method with noniterative triexcitations using uncoupled

Kiran Bhaskaran-Nair1, Ondrej Demel, Jan Smydke

  • 1J. Heyrovský Institute of Physical Chemistry, vvi, Academy of Sciences of the Czech Republic, Prague, Czech Republic.

The Journal of Chemical Physics
|April 26, 2011
PubMed
Summary
This summary is machine-generated.

A new computational chemistry method, multireference Mukherjee's coupled cluster (MR MkCCSD(Tu)), simplifies calculations for molecular systems. This approach achieves high accuracy without iterative solutions for triple excitations, making complex quantum chemistry more accessible.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Theoretical Chemistry

Background:

  • Coupled cluster methods are essential for accurate electronic structure calculations.
  • Multireference coupled cluster (MRCC) methods are needed for systems with complex electronic structures.
  • Existing MRCC methods can be computationally demanding due to iterative solutions for high-order excitations.

Purpose of the Study:

  • To formulate a new, computationally efficient version of the multireference Mukherjee's coupled cluster method.
  • To introduce a method that avoids iterative solutions for triple excitation amplitudes.
  • To assess the accuracy and performance of the new method.

Main Methods:

  • Formulation of a new multireference Mukherjee's coupled cluster method with perturbative triexcitations.
  • Application of the uncoupled approximation to the triples equation.
  • Implementation of the method (MR MkCCSD(Tu)) in the ACES II program package.

Main Results:

  • The new MR MkCCSD(Tu) method provides results of comparable quality to existing iterative methods.
  • The method avoids the need for iterative solution of T(3) amplitudes, reducing computational cost.
  • Successful implementation and testing on the BeH(2) model and tetramethyleneethane molecule.

Conclusions:

  • The developed MR MkCCSD(Tu) method offers a computationally efficient alternative for accurate electronic structure calculations.
  • This approach simplifies the treatment of electron correlation in complex molecular systems.
  • The method shows promise for broader application in theoretical chemistry.