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X-ray Crystallography02:18

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The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
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Unlike ionic or small covalent molecules, polymers do not form crystalline solids due to the diffusion limitations of their long-chain structures. However, polymers contain microscopic crystalline domains separated by amorphous domains.
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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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Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
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Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
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Crystallization is a phase transformation process in which crystals are precipitated from a supersaturated solution or formed from other sources. During crystallization, atoms or molecules arrange themselves into a well-defined, rigid crystal lattice to minimize energy.
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Physics-Based Feature Makes Machine Learning Cognizing Crystal Properties Simple.

Tianhao Su1,2, Yaning Cui1,2, Zhengheng Lian1,3

  • 1Materials Genome Institute, Shanghai University, Shanghai 200444, China.

The Journal of Physical Chemistry Letters
|August 31, 2021
PubMed
Summary
This summary is machine-generated.

We developed a low-cost electron probability waves (EPW) descriptor for machine learning (ML) in materials science. EPW accurately predicts magnetic and electronic properties, matching advanced methods.

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Area of Science:

  • Materials Science
  • Computational Chemistry
  • Condensed Matter Physics

Background:

  • Machine learning (ML) accelerates materials discovery, with feature engineering being crucial.
  • Existing descriptors can be computationally expensive or lack physical insight.

Purpose of the Study:

  • To introduce a novel, low-cost descriptor, electron probability waves (EPW), for ML in materials science.
  • To evaluate EPW's efficacy in predicting magnetic and electronic properties of materials.

Main Methods:

  • Extracting EPW descriptors from high-symmetry points in the Brillouin zone based on electronic structures.
  • Utilizing 10-fold cross-validation for model training and performance assessment.
  • Comparing EPW-based models against established crystal graph features-based deep learning models.

Main Results:

  • Achieved 0.92 accuracy (ACC) and 0.83 area under the receiver operating characteristic curve (AUC) in distinguishing ferromagnetic/antiferromagnetic materials.
  • Demonstrated EPW's effectiveness in classifying metals/semiconductors and determining semiconductor bandgap types (direct/indirect).
  • EPW-based models showed performance comparable to deep learning models using crystal graph features.

Conclusions:

  • EPW is a computationally efficient and physically meaningful descriptor for ML-driven materials design.
  • EPW captures essential electronic structure information relevant to material properties like magnetism and conductivity.
  • The EPW descriptor offers a promising alternative for accelerating the discovery of novel functional materials.