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Visualizing and characterizing excited states from time-dependent density functional theory.

John M Herbert1

  • 1Department of Chemistry & Biochemistry, The Ohio State University, Columbus, Ohio 43210, USA. herbert@chemistry.ohio-state.edu.

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|January 16, 2024
PubMed
Summary
This summary is machine-generated.

Time-dependent density functional theory (TD-DFT) provides valuable insights into excited states. This perspective details methods for analyzing TD-DFT results, focusing on charge-transfer diagnostics for improved accuracy.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Theoretical Chemistry

Background:

  • Time-dependent density functional theory (TD-DFT) is a widely adopted computational method for investigating excited states.
  • Despite its popularity, TD-DFT has recognized limitations, particularly concerning accuracy in certain scenarios.

Purpose of the Study:

  • To provide a comprehensive overview of methods for visualizing and analyzing excited states obtained from TD-DFT calculations.
  • To highlight the importance of robust diagnostics for assessing the reliability of TD-DFT results, especially for charge-transfer processes.

Main Methods:

  • Exploration of qualitative and quantitative analysis techniques for TD-DFT excited states.
  • Inclusion of orbital and density analysis, alongside statistical measures of electron-hole separation and exciton delocalization.
  • Emphasis on mathematical connections between different analytical approaches.

Main Results:

  • Development of well-defined metrics for electron-hole separation and exciton delocalization.
  • Identification of charge-transfer diagnostics as crucial indicators of TD-DFT limitations.
  • Recommendation of transition density-based measures over ad hoc metrics for quantifying charge-transfer character.

Conclusions:

  • Accurate analysis of TD-DFT excited states requires careful consideration of electron-hole separation and charge-transfer character.
  • Specific diagnostics are essential for identifying situations where TD-DFT may fail, particularly in long-range electron transfer.
  • Transition density-based metrics offer a more reliable approach to quantifying charge-transfer phenomena in excited states.