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Scalar Relativistic Effects with Multiwavelets: Implementation and Benchmark.

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This study introduces multiwavelets for quantum chemistry calculations, improving the description of relativistic effects, especially near the nucleus. The enhanced MRChem code offers robust error control and adaptive basis sets for accurate atomic and molecular energy calculations.

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Area of Science:

  • Quantum Chemistry
  • Computational Chemistry
  • Relativistic Effects

Background:

  • Relativistic effects are crucial in quantum chemistry for all elements, particularly near the nucleus.
  • Describing electron behavior near the nucleus and basis sets for heavy elements pose challenges.
  • Multiwavelets offer robust error control and adaptive algorithms for precise basis set refinement.

Purpose of the Study:

  • Extend the multiwavelet-based MRChem code to the scalar zero-order regular approximation (ZORA) framework.
  • Enable accurate quantum chemistry calculations, especially for regions with strong relativistic effects.
  • Provide a robust and adaptive method for basis set description in relativistic quantum chemistry.

Main Methods:

  • Integration of multiwavelet methods into the MRChem code.
  • Implementation of the scalar zero-order regular approximation (ZORA) framework.
  • Validation through comparison with existing atomic and molecular electronic structure codes.

Main Results:

  • Successful extension of MRChem to the scalar ZORA framework.
  • Accurate total energy calculations for selected elements and molecules.
  • Demonstrated validity by comparison with radial numerical and plane-wave codes.

Conclusions:

  • The multiwavelet-based MRChem code with scalar ZORA provides a reliable method for relativistic quantum chemistry.
  • This approach effectively handles the challenges of describing relativistic effects in the nuclear region.
  • The adaptive nature of multiwavelets ensures high precision and robust error control in calculations.