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An atom comprises protons and neutrons, which are contained inside the dense, central core called the nucleus, with electrons present around the nucleus. Taking into account the wave–particle duality of electrons and the uncertainty in position around the nucleus, quantum mechanics provides a more accurate model for the atomic structure. It describes atomic orbitals as the regions around the nucleus where electrons of discrete energy exist, characterized by four quantum...
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All-Purpose Measure of Electron Correlation for Multireference Diagnostics.

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New natural orbital occupancy indices offer a universally applicable, intuitive, and easily integrated alternative to traditional electron correlation metrics like c0 and D2 diagnostics in electronic structure calculations.

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Area of Science:

  • Quantum Chemistry
  • Computational Chemistry
  • Electronic Structure Theory

Background:

  • Electron correlation is crucial for accurate quantum chemical calculations.
  • Existing metrics for electron correlation, such as c0 and D2, have limitations in applicability and interpretation.
  • Natural orbital occupancy-based indices offer a potential alternative for quantifying electron correlation.

Purpose of the Study:

  • To establish an analytical relationship between natural orbital occupancy indices and established electron correlation metrics.
  • To validate the efficacy of these new indices as substitutes for c0 and D2.
  • To explore the advantages and applications of these novel indices in electronic structure methods.

Main Methods:

  • Analytical derivation of relationships between natural orbital occupancy indices and electron correlation metrics.
  • Numerical validation using established quantum chemical methods.
  • Establishing numerical thresholds for multireference diagnostics.

Main Results:

  • An analytical relationship was found between natural orbital occupancy indices (, INDmax) and electron correlation metrics (c0, D2).
  • and INDmax were shown to effectively substitute for c0 and D2, respectively.
  • MP2 and CCSD numerical thresholds for INDmax were established for use as a multireference diagnostic.

Conclusions:

  • Natural orbital occupancy indices provide a versatile and intuitive approach to quantifying electron correlation.
  • These indices are universally applicable across various electronic structure methods.
  • The established thresholds facilitate the use of INDmax as a multireference diagnostic and can be extended to other methods.