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Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

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The interconnection between standard cell potentials and various thermodynamic parameters such as the standard free energy change ΔG° and equilibrium constant K has been previously explored. For example, a redox reaction involving zinc(II) and tin(II) ions at 1 M concentration with Eºcell = +0.291 V and ΔG° = −56.2 kJ is spontaneous.
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Related Experiment Videos

Direct calculation of electron transfer parameters through constrained density functional theory.

Qin Wu1, Troy Van Voorhis

  • 1Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

The Journal of Physical Chemistry. A
|July 21, 2006
PubMed
Summary

Constrained density functional theory (DFT) enables direct calculation of electron transfer parameters. This method accurately determines driving forces and reorganization energies, resolving issues with over-delocalization in mixed-valence compounds.

Related Experiment Videos

Area of Science:

  • Computational Chemistry
  • Physical Chemistry
  • Quantum Mechanics

Background:

  • Marcus theory is crucial for understanding electron transfer reactions.
  • Calculating electron transfer parameters like driving force and reorganization energy is complex.
  • Density functional theory (DFT) has limitations in describing charge localization.

Purpose of the Study:

  • To develop and validate a constrained DFT approach for calculating electron transfer parameters.
  • To accurately determine driving forces and inner-sphere reorganization energies.
  • To investigate charge localization in mixed-valence systems and charge recombination reactions.

Main Methods:

  • Implementation of analytic forces in constrained DFT for geometry optimization.
  • Application of constrained DFT to study tetrathiafulvalene-diquinone radical anion.
  • Calculation of driving forces and reorganization energies for formanilide-anthraquinone (FA-AQ) and Fc-FA-AQ systems.

Main Results:

  • Constrained DFT successfully accesses diabatic potential energy surfaces.
  • The method resolves the over-delocalization issue in DFT for mixed-valence compounds, identifying charge-localized structures.
  • Calculated driving forces and reorganization energies for FA-AQ and Fc-FA-AQ align with experimental data.

Conclusions:

  • Constrained DFT is a robust method for calculating electron transfer parameters.
  • The study confirms electron transfer in FA-AQ occurs in the Marcus inverted region.
  • The findings support the experimental explanation for the anomalously long-lived FA-AQ charge-separated state.