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Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
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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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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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The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
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Parallelization strategy for large-scale vibronic coupling calculations.

Scott M Rabidoux1, Victor Eijkhout, John F Stanton

  • 1Institute for Computational Engineering and Sciences, The University of Texas at Austin , Austin, Texas 78712, United States.

The Journal of Physical Chemistry. A
|October 9, 2014
PubMed
Summary
This summary is machine-generated.

A new parallel algorithm enhances molecular electronic spectra analysis using the vibronic coupling model. This computational method efficiently handles complex systems, improving predictions for phenomena breaking the Born-Oppenheimer approximation.

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Area of Science:

  • Quantum Chemistry
  • Computational Spectroscopy
  • Molecular Physics

Background:

  • The vibronic coupling model by Köppel, Domcke, and Cederbaum is crucial for analyzing molecular electronic spectra.
  • Understanding spectra that deviate from the Born-Oppenheimer approximation is a significant challenge in molecular physics.

Purpose of the Study:

  • To develop and present a novel parallel algorithm for calculating molecular electronic spectra.
  • To enable more efficient analysis of complex molecular systems and phenomena.

Main Methods:

  • The algorithm is based on a 'stencil' representation for computational steps.
  • It employs an efficient coarse-grained parallelization strategy.
  • Direct-configuration interaction (CI) type diagonalization of the model Hamiltonian is used.

Main Results:

  • The study presents the equations for direct-CI diagonalization within the parallel framework.
  • A detailed discussion of the parallelization strategy is provided.
  • The method's efficacy is demonstrated through large-scale calculations.

Conclusions:

  • The new parallel algorithm offers a powerful and efficient approach for vibronic coupling model calculations.
  • The method successfully handles systems with numerous vibrational modes and large basis sets.
  • This work advances the computational analysis of molecular electronic spectra, particularly for non-Born-Oppenheimer cases.