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An atom comprises protons and neutrons, which are contained inside the dense, central core called the nucleus, with electrons present around the nucleus. Taking into account the wave–particle duality of electrons and the uncertainty in position around the nucleus, quantum mechanics provides a more accurate model for the atomic structure. It describes atomic orbitals as the regions around the nucleus where electrons of discrete energy exist, characterized by four quantum...
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Basis Set Selection for Molecular Core-Level GW Calculations.

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The GW approximation for core-level X-ray photoemission spectra is accurate when basis sets are fully converged. Specialized basis sets offer faster convergence and reliable results for both core and valence electronic properties.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Spectroscopy

Background:

  • The GW approximation is increasingly used for simulating molecular core-level X-ray photoemission spectra.
  • Traditional methods using cc-pVnZ or def2-nZVP basis sets with extrapolation and relativistic corrections were thought to underestimate binding energies.

Purpose of the Study:

  • To investigate the accuracy of GW approximation for core-level binding energies.
  • To evaluate the convergence properties of different basis set families.
  • To identify basis sets that provide accurate and efficient calculations for both core and valence electronic properties.

Main Methods:

  • Calculations of core-level binding energies using the GW approximation.
  • Systematic study of basis set convergence using standard (cc-pVnZ, def2-nZVP) and specialized (uncontracted, core-rich) basis sets.
  • Comparison of convergence rates and accuracy for core properties and valence excitations (ionization potentials, electron affinities).

Main Results:

  • Previous underestimation of binding energies was attributed to insufficient basis set convergence.
  • Standard basis sets (cc-pVnZ, def2-nZVP) exhibit contraction errors, leading to unreliable extrapolations.
  • Uncontracted basis sets and specialized core-rich families (pcSseg-n, pcJ-n, ccX-nZ) show significantly improved and faster convergence.
  • Specialized basis sets maintain accuracy for valence excitations, comparable to aug-cc-pVnZ.

Conclusions:

  • Basis set convergence is crucial for accurate GW calculations of core-level binding energies.
  • Specialized basis sets offer a superior cost-accuracy ratio for simulating molecular spectra.
  • These basis sets provide a balanced description of both core and valence electronic properties.