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Local correlation measures in atomic systems.

Nicolais L Guevara1, Robin P Sagar, Rodolfo O Esquivel

  • 1Departamento de Química, Universidad Autónoma Metropolitana, Apartado Postal 55-534, Iztapalapa, 09340 México D.F., México.

The Journal of Chemical Physics
|April 20, 2005
PubMed
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Electron correlation in atoms is analyzed using statistical, information theoretic, and energetic views. Information theoretic measures, unlike correlation energy density, highlight valence electron behavior for atomic correlation studies.

Area of Science:

  • Quantum Chemistry
  • Atomic Physics
  • Computational Chemistry

Background:

  • Electron correlation is a fundamental quantum mechanical concept.
  • Understanding electron correlation is crucial for accurate atomic and molecular property predictions.
  • Different theoretical frameworks exist to describe electron correlation, each with unique strengths and limitations.

Purpose of the Study:

  • To compare electron correlation from statistical, information theoretic, and energetic viewpoints.
  • To analyze local correlation measures and their global behavior.
  • To investigate the role of core and valence regions in atomic correlation.

Main Methods:

  • Comparison of local correlation measures: correlation coefficient, information entropies, and idempotency measure.

Related Experiment Videos

  • Analysis of correlation energy density.
  • Examination of contributions from core and valence electron regions.
  • Main Results:

    • Local correlation measures based on statistical and information theoretic perspectives are primarily influenced by the valence electron region.
    • Correlation energy density receives significant contributions from both core and valence regions.
    • A divergence in the mechanistic origins of correlation is observed between the energetic perspective and the statistical/information theoretic perspectives.

    Conclusions:

    • The valence region plays a dominant role in statistical and information theoretic descriptions of electron correlation.
    • Information theoretic quantities offer valuable insights into electron correlation, complementing traditional energetic approaches.
    • The findings support the utility of information theoretic measures in advancing the study of electron correlation in atomic systems.