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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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Local embedding of coupled cluster theory into the random phase approximation using plane waves.

Tobias Schäfer1, Florian Libisch1, Georg Kresse2

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|January 8, 2021
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This summary is machine-generated.

We developed a new embedding method for accurate electron correlation in periodic systems. This approach efficiently calculates adsorption and formation energies, crucial for materials science and chemistry.

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Area of Science:

  • Computational Chemistry
  • Materials Science
  • Quantum Mechanics

Background:

  • Accurate treatment of electron correlation is vital for predicting material properties.
  • Periodic boundary conditions are essential for modeling bulk materials and surfaces.
  • Embedding methods offer a way to combine high accuracy for local regions with efficiency for the environment.

Purpose of the Study:

  • To present a novel embedding approach for local electron correlation in periodic systems.
  • To enable accurate and efficient calculations of adsorption and formation energies.
  • To validate the method for various chemical and physical scenarios.

Main Methods:

  • A plane wave-based embedding scheme combining high-level Coupled Cluster (CC) theory with localized orbitals.
  • Integration into a low-level direct Random Phase Approximation (RPA) correlation calculation.
  • Application to adsorption energies of molecules on surfaces and in crystal cages, and impurity formation energies.

Main Results:

  • The embedding scheme accurately treats local electron correlation and long-range dispersion effects.
  • Accelerated convergence observed when high-level and low-level dispersion models are similar (CC and RPA).
  • Achieved sub-20 meV accuracy for methane adsorption in chabazite at the CC level.
  • Successfully applied to a large system of water adsorption on titania.

Conclusions:

  • The presented embedding approach provides a consistent and efficient framework for electronic structure calculations in periodic systems.
  • It enables highly accurate predictions of adsorption and formation energies.
  • The method is scalable and applicable to complex, large-scale systems relevant to materials science.