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Hybridization of Atomic Orbitals I03:24

Hybridization of Atomic Orbitals I

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The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
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sp3d and sp3d 2 Hybridization
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According to valence bond theory, a covalent bond results when: (1) an orbital on one atom overlaps an orbital on a second atom, and (2) the single electrons in each orbital combine to form an electron pair. The strength of a covalent bond depends on the extent of overlap of the orbitals involved. Maximum overlap is possible when the orbitals overlap on a direct line between the two nuclei.
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Hybrid zones are narrow regions where two closely related species interact, mate, and produce hybrids. Relative to either parent species, hybrids may possess distinct phenotypic or genetic differences that impact their survival and reproductive success. The genetic variances introduced by hybridization influence species diversity and speciation processes within the hybrid zone.
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Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
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Local Hybrid Density Functional for Interfaces.

Pedro Borlido1, Miguel A L Marques2, Silvana Botti1

  • 1Institut für Festkörpertheorie und-optik, Friedrich-Schiller-Universität Jena and European Theoretical Spectroscopy Facility , Max-Wien-Platz 1, 07743 Jena, Germany.

Journal of Chemical Theory and Computation
|December 12, 2017
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Summary
This summary is machine-generated.

This study introduces a new method to improve hybrid functionals for calculating electronic properties of solids. The approach accurately predicts interface properties with minimal computational cost.

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Area of Science:

  • Computational materials science
  • Solid-state physics
  • Quantum chemistry

Background:

  • Hybrid functionals are state-of-the-art for electronic property calculations in density functional theory (DFT).
  • Accurate calculation of electronic properties in nonhomogeneous systems, like solid interfaces, remains challenging.
  • The mixing parameter in hybrid functionals critically affects accuracy, especially in complex systems.

Purpose of the Study:

  • To develop a novel (non)local mixing function for hybrid functionals.
  • To improve the prediction of band gaps and band-edge alignments at solid interfaces.
  • To achieve high accuracy comparable to GW approximation with reduced computational cost.

Main Methods:

  • Proposed a density-dependent (non)local mixing function based on a local dielectric function estimator.
  • Modified PBE0 and HSE06 hybrid functionals using the new mixing function.
  • Calculated band gaps and band-edge alignments at interfaces for various materials.

Main Results:

  • Achieved accuracy for band gaps and band-edge alignments comparable to the GW approximation.
  • Demonstrated the effectiveness of the new mixing function in predicting interface properties.
  • The method shows negligible increase in computational time compared to standard hybrid functionals.

Conclusions:

  • The proposed (non)local mixing function offers a computationally efficient and accurate approach for electronic structure calculations at interfaces.
  • This method provides a viable alternative to computationally expensive methods like GW approximation.
  • The approach enhances the predictive power of hybrid functionals for solid-state systems.