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In an atom, the negatively charged electrons are attracted to the positively charged nucleus. In a multielectron atom, electron-electron repulsions are also observed. The attractive and repulsive forces are dependent on the distance between the particles, as well as the sign and magnitude of the charges on the individual particles. When the charges on the particles are opposite, they attract each other. If both particles have the same charge, they repel each other.
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One-Electron Energies from the Two-Component GW Method.

Michael Kühn1, Florian Weigend1,2

  • 1Institut für Physikalische Chemie, Karlsruher Institut für Technologie , Kaiserstraße 12, 76131 Karlsruhe, Germany.

Journal of Chemical Theory and Computation
|November 19, 2015
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Summary
This summary is machine-generated.

This study introduces a two-component G0W0 method to include spin-orbit effects in molecular calculations. The new approach accurately predicts ionization energies and core-level binding energies for various systems.

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Area of Science:

  • Quantum chemistry
  • Computational physics
  • Electronic structure theory

Background:

  • The G0W0 method is a standard tool for calculating electronic properties of molecules.
  • Accurate calculations of electronic properties require accounting for relativistic effects like spin-orbit coupling.
  • Previous implementations of G0W0 were limited to non-relativistic calculations.

Purpose of the Study:

  • To develop and implement a two-component G0W0 method for closed-shell systems.
  • To incorporate spin-orbit effects into G0W0 calculations for isolated molecular systems.
  • To assess the accuracy of the new method for ionization energies and core-level binding energies.

Main Methods:

  • Extension of the one-component G0W0 method to a two-component formalism.
  • Utilizing localized basis functions within the TURBOMOLE software.
  • Application to atomic and diatomic systems, including mercury, zinc, and ZnF2.

Main Results:

  • The two-component G0W0 method accurately accounts for spin-orbit effects on one-electron energies.
  • Calculated first ionization energies showed changes up to 0.7 eV due to spin-orbit coupling.
  • An economic extrapolation scheme provided results comparable to the full two-component calculation.
  • High accuracy was achieved for core-level binding energies.

Conclusions:

  • The developed two-component G0W0 method is a reliable tool for including spin-orbit effects in electronic structure calculations.
  • The method provides accurate predictions for ionization potentials and core-level binding energies.
  • The computational cost can be managed using extrapolation schemes without significant loss of accuracy.