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The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
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Modified Opposite-Spin-Scaled Double-Hybrid Functionals.

Golokesh Santra1,2, Markus Bursch3,4, Lukas Wittmann4

  • 1Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1, 45470 Mülheim an der Ruhr, Germany.

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|July 24, 2025
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Summary
This summary is machine-generated.

Replacing scaled opposite-spin MP2 (SOS-MP2) with modified opposite-spin-scaled MP2 (MOS-MP2) in double-hybrid functionals improves accuracy, especially for noncovalent interactions without dispersion correction. Empirical dispersion corrections minimize this performance gap.

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Area of Science:

  • Computational chemistry
  • Quantum chemistry
  • Method development in electronic structure theory

Background:

  • Double-hybrid density functionals (DHDFs) are advanced quantum chemical methods.
  • The nonlocal correlation component is crucial for DHDF accuracy.
  • Scaled opposite-spin MP2 (SOS-MP2) is a common approximation for this component.

Purpose of the Study:

  • To evaluate the performance of modified opposite-spin-scaled MP2 (MOS-MP2) as a replacement for SOS-MP2 in DHDFs.
  • To assess the impact of MOS-MP2 on accuracy, particularly for noncovalent interactions.
  • To investigate the role of empirical dispersion corrections in conjunction with MOS-MP2.

Main Methods:

  • Utilizing the GMTKN55 benchmark data set for comprehensive performance evaluation.
  • Comparing MOS-MP2-based DHDFs against SOS-MP2-based DHDFs.
  • Analyzing the effect of D4 dispersion correction on the performance of both types of DHDFs.

Main Results:

  • MOS-double hybrids show significantly improved accuracy over SOS-MP2-based double hybrids when empirical dispersion correction is absent.
  • The improvement is most pronounced in noncovalent interaction subsets.
  • The performance difference becomes negligible upon application of the D4 dispersion correction.

Conclusions:

  • MOS-MP2 offers a viable alternative to SOS-MP2 in DHDFs, enhancing accuracy for certain interaction types.
  • Empirical dispersion corrections play a critical role in achieving high accuracy for DHDFs, regardless of the MP2 approximation used.
  • Further method development should consider the interplay between nonlocal correlation approximations and dispersion corrections.