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Related Concept Videos

Radical Reactivity: Overview01:11

Radical Reactivity: Overview

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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...
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Radical Formation: Abstraction00:47

Radical Formation: Abstraction

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The electron of an atom can be abstracted from a compound by a relatively unstable radical to generate a new radical of relatively greater stability. For example, an initiator which forms radicals by homolysis can abstract a suitable species like a hydrogen atom or a halogen atom from a compound to generate a new radical. This ability of radicals to propagate by abstraction is a crucial feature of radical chain reactions.
Even though homolysis produces radicals, it is different from radical...
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Radical Formation: Overview01:03

Radical Formation: Overview

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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...
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Radicals: Electronic Structure and Geometry01:07

Radicals: Electronic Structure and Geometry

4.3K
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...
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Radical Formation: Homolysis00:54

Radical Formation: Homolysis

3.8K
A bond is formed between two atoms by sharing two electrons. When this bond is broken by supplying sufficient energy, either two electrons can be taken up by one atom forming ions by the cleavage called heterolysis, or the two electrons are shared by two atoms, with one each creating radicals by the cleavage called homolysis.
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Radical Reactivity: Nucleophilic Radicals01:16

Radical Reactivity: Nucleophilic Radicals

2.2K
Radicals adjacent to electron-donating groups are called nucleophilic radicals. These radicals readily react with electrophilic alkenes. The SOMO–LUMO interactions are the driving force for the reaction, where the high-energy SOMO of the electron-rich, nucleophilic radicals interacts with the low-energy LUMO of the electron-deficient, electrophilic alkenes. Such SOMO–LUMO interactions are the basis of reactive radical traps, affecting the selectivity in radical reactions. For...
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Exploring the Radical Nature of a Carbon Surface by Electron Paramagnetic Resonance and a Calibrated Gas Flow
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Radical Complexity.

Jean-Philippe Bouchaud1,2

  • 1Capital Fund Management, 75007 Paris, France.

Entropy (Basel, Switzerland)
|December 24, 2021
PubMed
Summary
This summary is machine-generated.

This review explores quantitative finance and econophysics topics, including price change models, random matrix theory, and agent-based models for macroeconomics. It highlights radical complexity and future research directions in financial markets.

Keywords:
agent-based modelscopulascovariance matricesfinancial marketshigh-frequency tradingmarket stability

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Area of Science:

  • Quantitative Finance
  • Econophysics
  • Complexity Science

Background:

  • Current models of financial markets often oversimplify complex dynamics.
  • Understanding interdependencies and emergent behaviors is crucial for market stability.

Purpose of the Study:

  • To review diverse topics in quantitative finance and econophysics.
  • To introduce a scenario-based approach to macroeconomics using Agent-Based Models.
  • To identify open questions and future research avenues.

Main Methods:

  • Review of existing literature on price change models.
  • Application of random matrix theory to financial correlations.
  • Exploration of non-linear dependence using copulas.
  • Analysis of high-frequency trading impacts on market stability.
  • Conceptualization of Agent-Based Models for macroeconomic scenarios.

Main Results:

  • Identified limitations in current price change models.
  • Demonstrated the utility of random matrix theory and copulas for analyzing financial data.
  • Highlighted the potential risks of high-frequency trading to market stability.
  • Proposed a framework for "radical complexity" in macroeconomics.

Conclusions:

  • A multi-faceted approach is needed to understand complex financial systems.
  • Agent-Based Models offer a promising path for scenario-based macroeconomic analysis.
  • Further research is required to address market stability and complexity.