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The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
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An atomic orbital represents the three-dimensional regions in an atom where an electron has the highest probability to reside. The radial distribution function indicates the total probability of finding an electron within the thin shell at a distance r from the nucleus. The atomic orbitals have distinct shapes which are determined by l, the angular momentum quantum number. The orbitals are often drawn with a boundary surface, enclosing densest regions of the cloud.
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The Fermi-Dirac function is represented by an S-shaped curve indicating the probability of an energy state being occupied by an electron at a given temperature. The Fermi level is the energy level at which there is a fifty percent chance of finding an electron, and it is positioned between the lower-energy valence band and the higher-energy conduction band.
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In classical mechanics, the two-body problem is one of the fundamental problems describing the motion of two interacting bodies under gravity or any other central force. When considering the motion of two bodies, one of the most important concepts is the reduced mass coordinates, a quantity that allows the two-body problem to be solved like a single-body problem. In these circumstances, it is assumed that a single body with reduced mass revolves around another body fixed in a position with an...
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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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Related Experiment Video

Updated: Dec 10, 2025

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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PyFLOSIC: Python-based Fermi-Löwdin orbital self-interaction correction.

Sebastian Schwalbe1, Lenz Fiedler1, Jakob Kraus1

  • 1Institute of Theoretical Physics, TU Bergakademie Freiberg, Leipziger Str. 23, D-09599 Freiberg, Germany.

The Journal of Chemical Physics
|September 3, 2020
PubMed
Summary
This summary is machine-generated.

We introduce pyflosic, a Python tool for Fermi-Löwdin orbital self-interaction correction (FLO-SIC). This open-source implementation enhances quantum chemistry calculations by improving accuracy in electronic structure modeling.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Materials Science

Background:

  • Self-interaction error is a significant issue in electronic structure calculations, particularly for systems with localized electrons.
  • Accurate modeling of electronic properties is crucial for understanding chemical reactions and material behavior.

Purpose of the Study:

  • To present pyflosic, an open-source Python implementation of the Fermi-Löwdin orbital self-interaction correction (FLO-SIC).
  • To provide a versatile tool for researchers to apply and further develop FLO-SIC methods in quantum chemistry.

Main Methods:

  • Leveraging the Python Simulation of Chemistry Framework (PySCF) for electronic structure calculations.
  • Implementing Fermi-orbital descriptors for self-interaction correction estimation.
  • Integrating with the Atomic Simulation Environment (ASE) for geometry optimization.

Main Results:

  • Pyflosic supports various basis sets, quadrature grids, and exchange-correlation functionals (LDA, GGA, meta-GGA).
  • Automated initialization and optimization of Fermi-orbital descriptors are available.
  • The software has already enabled applications in chemical studies.

Conclusions:

  • Pyflosic offers a robust and modular platform for FLO-SIC calculations.
  • Its open-source nature and integration capabilities facilitate further advancements in self-interaction correction methods.
  • The tool enhances the accuracy of quantum chemistry simulations for various chemical systems.