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This study introduces an efficient active-space calculation for the two-electron reduced density matrix (2-RDM), enabling accurate correlation analysis. The method reveals strong electron correlation in various molecules, including FeMoco.

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Area of Science:

  • Quantum Chemistry
  • Computational Chemistry
  • Electronic Structure Theory

Background:

  • Accurate calculation of the two-electron reduced density matrix (2-RDM) is crucial for understanding electron correlation.
  • Existing methods can be computationally expensive, limiting their application to complex systems.

Purpose of the Study:

  • To develop and implement an efficient active-space variational calculation for the 2-RDM.
  • To enable the accurate treatment of strong electron correlation in diverse chemical systems.

Main Methods:

  • Derivation and implementation of an active-space variational calculation for the 2-RDM using the pair approximation.
  • Utilized pair active-space configuration interaction (PASCI) and pair active-space self-consistent field (PASSCF) methods.
  • PASSCF incorporates mixing of active and inactive orbitals via unitary transformations.

Main Results:

  • The developed method allows 2-RDM calculation at a reduced computational cost.
  • Applied to nitrogen molecule, p-benzyne diradical, a biscobalt complex, and FeMoco.
  • Fractional occupations were recovered, signifying strong electron correlation in all tested systems.

Conclusions:

  • The active-space pair 2-RDM method provides an efficient and accurate approach for studying electron correlation.
  • The method is applicable to complex molecules, including metalloenzymes like FeMoco.
  • Demonstrates the presence of significant electron correlation in various chemical environments.