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Relativistic Complete Active Space Self-Consistent-Field Method with a Hierarchy of Exact Two-Component Hamiltonians.

Xubo Wang1, Sen Wang1, Yixuan Wu1

  • 1Department of Chemistry, The Johns Hopkins University, Baltimore, Maryland 21218-2625, United States.

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A new exact two-component (X2Ccorr) scheme improves relativistic calculations by refining two-electron contributions. This method enhances accuracy for electronic structure in molecules and ions, advancing computational chemistry.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Relativistic Quantum Mechanics

Background:

  • Accurate treatment of relativistic effects is crucial for heavy elements.
  • Existing two-component (X2C) schemes require refinement for two-electron contributions.
  • Electron correlation and relativistic effects are challenging to combine accurately.

Purpose of the Study:

  • Introduce a novel exact two-component (X2Ccorr) scheme.
  • Establish a hierarchy of X2C schemes for systematic improvement.
  • Analyze relativistic two-electron contributions in molecular systems.

Main Methods:

  • Developed the "X2Ccorr" scheme including picture-change correction.
  • Employed benchmark X2C complete active space self-consistent-field (CASSCF) calculations.
  • Utilized Cholesky decomposition and super-configuration-interaction algorithms.

Main Results:

  • Demonstrated systematic improvement in treating relativistic two-electron contributions.
  • Analyzed contributions of spin-orbit coupling, spin-spin coupling, and QED.
  • Successfully calculated electronic states of neodymium aqua-ions.

Conclusions:

  • The X2Ccorr scheme offers enhanced accuracy for relativistic calculations.
  • The new implementation is capable of handling complex systems.
  • This work provides a more robust framework for relativistic electronic structure theory.