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Radical Reactivity: Overview01:11

Radical Reactivity: Overview

2.1K
Radicals, the highly reactive species, gain stability by undergoing three different reactions. The first reaction involves a radical-radical coupling, in which a radical combines with another radical, forming a spin‐paired molecule. The second reaction is between a radical and a spin‐paired molecule, generating a new radical and a new spin‐paired molecule. The third reaction is radical decomposition in a unimolecular reaction, forming a new radical and a spin‐paired...
2.1K
Radical Formation: Overview01:03

Radical Formation: Overview

2.1K
A bond can be broken either by heterolytic bond cleavage to form ions or homolytic bond cleavage to yield radicals. A fishhook arrow is used to represent the motion of a single electron in homolytic bond cleavage. There are two main sources from which radicals can be formed:
Radicals from spin-paired molecules:
Radicals can be obtained from spin-paired molecules either by homolysis or electron transfer. While two radicals are formed in the former, an electron is added in the...
2.1K
Radical Formation: Addition00:47

Radical Formation: Addition

1.7K
Radicals can be formed by adding a radical to a spin-paired molecule. This is typically observed with unsaturated species, where the addition of a radical across the π bond leads to the production of a new radical by dissolving the π bond. For example, the addition of a Br radical to an alkene yields a carbon-centered radical.
Similar to charge conservation in chemical reactions, spin conservation is implicit for radical reactions. Accordingly, the product formed must possess an...
1.7K
Radical Reactivity: Steric Effects01:10

Radical Reactivity: Steric Effects

1.9K
The presence of electron-donating, electron-withdrawing, or conjugating groups adjacent to a radical center, imparts electronic stabilization to the radicals. Examples of such electronically-stabilized radicals are triphenylmethyl, tetramethylpiperidine‐N‐oxide, and 2,2‐diphenyl‐1‐picrylhydrazyl. These radicals are remarkably stable and are known as persistent radicals. Some of the persistent radicals can even be isolated and purified.
Along with electronic...
1.9K
Electron Paramagnetic Resonance (EPR) Spectroscopy: Organic Radicals01:17

Electron Paramagnetic Resonance (EPR) Spectroscopy: Organic Radicals

2.4K
Ideally, an unpaired electron shows a single peak in the EPR spectrum due to the transition between the two spin energy states. However, coupling interactions can occur between the spins of the unpaired electron and any neighboring spin-active nuclei. This hyperfine coupling results in hyperfine splitting, where the EPR signal is split into multiplets. The signals split into 2nI + 1 peaks, where n is the number of equivalent nuclei and I is the nuclear spin. These splitting patterns provide...
2.4K
Radicals: Electronic Structure and Geometry01:07

Radicals: Electronic Structure and Geometry

4.0K
This lesson delves into the geometry of a radical, which is influenced by the electronic structure of the molecule. The principle is similar to that of a lone pair, where the unpaired electron influences the geometry at the radical center.
Accordingly, the structure of a trivalent radical lies between the geometries of carbocations and carbanions. An sp2-hybridized carbocation is trigonal planar, while an sp3-hybridized carbanion is trigonal pyramidal. Here, the difference in geometry is...
4.0K

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Related Experiment Video

Updated: Jun 13, 2025

Isolating Free Carbenes, their Mixed Dimers and Organic Radicals
10:44

Isolating Free Carbenes, their Mixed Dimers and Organic Radicals

Published on: April 19, 2019

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Efficient random phase approximation for diradicals.

Reza G Shirazi1, Vladimir V Rybkin1, Michael Marthaler1

  • 1HQS Quantum Simulations GmbH, Rintheimer Str. 23, 76131 Karlsruhe, Germany.

The Journal of Chemical Physics
|September 16, 2024
PubMed
Summary
This summary is machine-generated.

We developed a model for diradical molecules with two unpaired electrons. Our method, using random phase approximation (RPA), accurately predicts singlet-triplet splitting, aligning with advanced computational chemistry results.

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Area of Science:

  • Quantum chemistry
  • Computational physics
  • Theoretical chemistry

Background:

  • Diradical molecules possess two unpaired electrons, making their electronic structure complex.
  • Accurate prediction of their properties, such as singlet-triplet splitting, is crucial for understanding chemical reactivity.

Purpose of the Study:

  • To apply an analytically solvable two-electron, two-orbital model to diradical systems.
  • To incorporate the influence of doubly occupied and empty orbitals using random phase approximation (RPA).
  • To validate the model by comparing its predictions with established multi-reference methods.

Main Methods:

  • Utilized an analytically solvable model for two electrons in two orbitals.
  • Employed the random phase approximation (RPA) to account for other orbitals.
  • Investigated the static limit of RPA for parameter renormalization.
  • Compared singlet-triplet splitting predictions with multi-reference computational results for thirteen molecules.

Main Results:

  • The direct random phase approximation (RPA) in the static limit renormalize parameters of the two-orbital model.
  • The model's predictions for singlet-triplet splitting show good agreement with multi-reference methods.
  • Specifically, static RPA results closely matched NEVPT2 calculations within a two-orbital, two-electron active space.

Conclusions:

  • The analytically solvable two-electron, two-orbital model, augmented by RPA, provides a computationally efficient approach for studying diradicals.
  • The model's accuracy in predicting singlet-triplet splitting highlights its potential for theoretical chemistry applications.
  • Further validation against various multi-reference techniques is recommended for broader applicability.