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Related Concept Videos

¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)01:20

¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)

When proton-coupled carbon-13 spectra are simplified by a broadband proton decoupling technique, structural information about the coupled protons is lost. Distortionless enhancement by polarization transfer (DEPT) is a technique that provides information on the number of hydrogens attached to each carbon in a molecule. While the DEPT experiment utilizes complex pulse sequences, the pulse delay and flip angle are specifically manipulated. The resulting signals have different phases depending on...
Theory of Attribution I: Correspondent Inference Theory01:15

Theory of Attribution I: Correspondent Inference Theory

Correspondent inference theory, proposed by Jones and Davis in 1965, seeks to explain how individuals infer stable personality traits from observed behaviors. It suggests that people attribute actions to underlying dispositions rather than external circumstances, particularly when the behavior appears intentional and socially significant.Voluntary Behavior and Dispositional AttributionAccording to this theory, individuals are more likely to attribute behavior to personal traits when it appears...
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.
2D NMR: Overview of Heteronuclear Correlation Techniques01:18

2D NMR: Overview of Heteronuclear Correlation Techniques

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 axis.
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...

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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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Communication: Second-order multireference perturbation theory with explicit correlation: CASPT2-F12.

Toru Shiozaki1, Hans-Joachim Werner

  • 1Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, D-70569 Stuttgart, Germany.

The Journal of Chemical Physics
|October 19, 2010
PubMed
Summary

A new explicitly correlated complete active space second-order perturbation (CASPT2-F12) method accelerates calculations by improving basis set convergence. This computational chemistry advancement offers accurate results with minimal extra cost.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Theoretical Chemistry

Background:

  • Accurate electronic structure calculations are crucial for understanding molecular properties.
  • Basis set incompleteness can limit the accuracy of traditional quantum chemical methods.
  • Explicitly correlated methods aim to improve convergence with respect to basis set size.

Purpose of the Study:

  • To develop and present an explicitly correlated complete active space second-order perturbation (CASPT2-F12) method.
  • To enhance the convergence of CASPT2 energies and properties with respect to basis set size.
  • To assess the computational efficiency and accuracy of the new method.

Main Methods:

  • Implementation of an explicitly correlated CASPT2 method incorporating a Slater-type geminal.
  • Internal contraction of explicitly correlated terms in the wave function.
  • Application of the CASPT2-F12 method to benchmark chemical systems.

Main Results:

  • The CASPT2-F12 method significantly accelerates the convergence of energies and properties with increasing basis set size.
  • The computational overhead for the F12 correction is demonstrated to be small.
  • Accurate results were obtained for the singlet-triplet splitting of methylene, ozone dissociation energy, and pyrrole excited states.

Conclusions:

  • The presented CASPT2-F12 method offers a computationally efficient way to achieve high accuracy in electronic structure calculations.
  • This method effectively addresses the basis set convergence issues inherent in conventional CASPT2.
  • CASPT2-F12 is a promising tool for studying various chemical phenomena requiring precise electronic structure data.