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Automatic basis-set adaptation in projection-based embedding.

Moritz Bensberg1, Johannes Neugebauer1

  • 1Theoretische Organische Chemie, Organisch-Chemisches Institut and Center for Multiscale Theory and Computation, Westfälische Wilhelms-Universität Münster, Corrensstraße 40, 48149 Münster, Germany.

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Summary
This summary is machine-generated.

Projection-based embedding (PbE) in density-functional theory (DFT) offers exact embedding but requires careful basis set truncation. The Huzinaga method shows stability for total energies, while level-shift techniques are promising for energy differences.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Materials Science

Background:

  • Projection-based embedding (PbE) is an exact embedding method in density-functional theory (DFT).
  • PbE methods are gaining attention for their accuracy in electronic structure calculations.
  • Basis set truncation is crucial for the efficiency of PbE approaches.

Purpose of the Study:

  • To systematically compare different basis set truncation schemes for projection-based embedding in DFT.
  • To evaluate the accuracy and stability of various PbE variants.
  • To investigate the performance of top-down and bottom-up embedding strategies.

Main Methods:

  • Employed a top-down basis-set truncation scheme for level-shift embedding.
  • Developed a bottom-up basis-set extension scheme for PbE.
  • Compared the accuracy of level-shift, external-orthogonality, and Huzinaga equation-based PbE methods.

Main Results:

  • The Huzinaga method demonstrated the most stable total energy reproduction concerning basis set truncation in top-down embedding.
  • The level-shift technique showed promising results for energy difference calculations due to error cancellation.
  • Bottom-up embedding encountered convergence issues when Lagrange formalism constraints were not met due to incomplete basis sets.

Conclusions:

  • Basis set truncation strategies significantly impact the accuracy and stability of projection-based embedding methods.
  • The choice of PbE variant and truncation scheme is critical for reliable electronic structure calculations.
  • Further development is needed to address convergence challenges in bottom-up embedding approaches.