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Constrained Møller-Plesset perturbation theory for charge transfer states.

Shohei Osaki1, Masato Kobayashi2,3, Toru Matsui1,4

  • 1Department of Chemistry, Graduate School of Science and Technology, University of Tsukuba, Tsukuba 305-8577, Japan.

The Journal of Chemical Physics
|June 15, 2026
PubMed
Summary
This summary is machine-generated.

We introduce constrained Møller-Plesset second-order perturbation theory (CMP2) to add electron correlation to constrained Hartree-Fock (CHF) calculations. This method offers an efficient way to improve electronic structure calculations for complex chemical reactions.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Theoretical Chemistry

Background:

  • Constrained Hartree-Fock (CHF) provides a framework for electronic structure calculations with specific constraints.
  • Incorporating electron correlation beyond the Hartree-Fock level is crucial for accurate chemical predictions.
  • Existing methods may require significant modifications for constrained calculations.

Purpose of the Study:

  • To develop a constrained Møller-Plesset second-order perturbation theory (CMP2) method.
  • To integrate electron correlation effects into the CHF framework efficiently.
  • To provide a practical extension of constrained electronic structure methods to the post-Hartree-Fock level.

Main Methods:

  • Constrained Møller-Plesset second-order perturbation theory (CMP2) using CHF as the reference state.
  • Introduction of a common Lagrange multiplier for zeroth-order and constraint Hamiltonians.
  • Two schemes for multiplier determination: iterative (CMP2-i) and single-shot (CMP2-s).
  • Application to an intramolecular charge-transfer reaction of 1,3-dinitrobenzene anion radical.
  • Configuration interaction (CMP2-CI) and extended multistate complete active space second-order perturbation theory (XMS-CASPT2) for energy profile analysis.

Main Results:

  • CMP2 successfully incorporates electron correlation into the CHF framework with minimal modifications.
  • CMP2-s offers a significant reduction in computational cost compared to CMP2-i.
  • Both CMP2 schemes reproduce relative energy profiles comparable to each other.
  • CMP2-CI adiabatic energy profiles show good agreement with XMS-CASPT2 results.

Conclusions:

  • The proposed CMP2 method is a practical and efficient extension of constrained electronic structure theory.
  • CMP2 enables accurate post-Hartree-Fock calculations for systems requiring constraints.
  • The CMP2-s scheme provides a computationally advantageous approach for incorporating electron correlation.