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We developed an exact algorithm for analytical gradients in orbital-specific-virtual (OSV) second-order Møller-Plesset (MP2) theory. This method accurately reproduces molecular geometries and enables Born-Oppenheimer molecular dynamics simulations.

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Area of Science:

  • Computational Quantum Chemistry
  • Theoretical Chemistry
  • Molecular Modeling and Simulation

Background:

  • Accurate calculation of molecular properties requires efficient and precise computational methods.
  • Second-order Møller-Plesset perturbation theory (MP2) is a widely used method for electron correlation.
  • Orbital-specific-virtual (OSV) approximations offer a way to reduce the computational cost of MP2 calculations.

Purpose of the Study:

  • To develop an exact algorithm for computing analytical gradients within the orbital-specific-virtual (OSV) second-order Møller-Plesset (MP2) theory.
  • To implement and validate the OSV-MP2 gradient method for accurate molecular geometry optimizations and dynamics simulations.
  • To assess the performance and accuracy of OSV-MP2 gradients compared to canonical MP2 methods.

Main Methods:

  • Development of an exact algorithm for analytical gradients in OSV-MP2 theory using resolution-of-identity (RI) approximation.
  • Implementation of perturbed OSV relaxation through orthonormality, diagonality, and eigenvalue conditions.
  • Coupled-perturbed localization method for meta-Löwdin localization function and Born-Oppenheimer molecular dynamics (BOMD) simulations.

Main Results:

  • OSV-MP2 gradients accurately reproduce canonical RI-MP2/def2-TZVP gradients within 10-4 au.
  • OSV-MP2/def2-TZVPP optimized geometries show excellent agreement with canonical RI-MP2 structures.
  • OSV-MP2 analytical gradients enable accurate Born-Oppenheimer molecular dynamics simulations, reproducing structural and vibrational properties of protonated water cations and ethanol.

Conclusions:

  • The developed exact algorithm for OSV-MP2 analytical gradients provides a computationally efficient and accurate alternative to canonical MP2 methods.
  • The OSV-MP2 method is suitable for molecular geometry optimizations and driving Born-Oppenheimer molecular dynamics simulations.
  • This approach facilitates the study of structural and vibrational properties, as well as free-energy surfaces, for molecular systems.