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Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
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Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms. The structure of metallic crystals is often described as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties.
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Time differentiation, convolution, integration, and periodicity are fundamental concepts in analyzing functions and signals over time. Each concept provides a unique perspective on how functions evolve, interact, and repeat, offering essential tools for various scientific and engineering applications.
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Aperiodic defects in periodic solids.

Robert H Lavroff1, Daniel Kats2, Lorenzo Maschio3

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Summary
This summary is machine-generated.

This study introduces a defectless embedding method for modeling material defects. This approach avoids artifacts from periodic supercells, enabling faster convergence to the thermodynamic limit (TDL) for accurate defect simulations.

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Area of Science:

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

Background:

  • Traditional defect modeling uses periodic supercells, risking artifacts from defect image interactions.
  • Charged or open-shell defects exacerbate issues, leading to slow convergence to the thermodynamic limit (TDL).

Purpose of the Study:

  • To develop a novel computational method for defect modeling that overcomes limitations of periodic supercells.
  • To achieve accurate and efficient simulations of defects, including charged and strongly correlated ones.

Main Methods:

  • Introduced a "defectless" embedding formalism.
  • Computed the embedding field in a pristine, primitive-unit-cell calculation.
  • Incorporated a single, aperiodic defect within the embedded fragment, avoiding compensating background charges.

Main Results:

  • Eliminated spurious artifacts and numerical issues associated with periodic defect modeling.
  • Achieved very fast convergence to the thermodynamic limit (TDL).
  • Enabled straightforward application of post-Hartree-Fock methods for complex defect studies.

Conclusions:

  • The defectless embedding formalism provides a superior approach for accurate defect modeling.
  • This method is particularly advantageous for charged, open-shell, and strongly correlated defects.
  • It offers a robust framework for studying localized excited states and other challenging problems in materials science.