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Related Concept Videos

Structures of Solids02:22

Structures of Solids

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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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Ionic Crystal Structures02:42

Ionic Crystal Structures

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Ionic crystals consist of two or more different kinds of ions that usually have different sizes. The packing of these ions into a crystal structure is more complex than the packing of metal atoms that are the same size.
Most monatomic ions behave as charged spheres, and their attraction for ions of opposite charge is the same in every direction. Consequently, stable structures for ionic compounds result (1) when ions of one charge are surrounded by as many ions as possible of the opposite...
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Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

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The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...
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Crystal Field Theory - Octahedral Complexes02:58

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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 - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

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Tetrahedral Complexes
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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Data-Driven Score-Based Models for Generating Stable Structures with Adaptive Crystal Cells.

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Summary
This summary is machine-generated.

This study introduces a novel machine learning model for generating new, stable crystal structures. The approach uniquely learns and generates crystal lattices, enabling the design of materials with specific properties.

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Area of Science:

  • Materials Science
  • Computational Chemistry
  • Machine Learning

Background:

  • Discovering new functional and stable materials is complex and challenging.
  • Generating crystal structures presents unique difficulties due to periodicity and symmetry constraints.

Purpose of the Study:

  • To develop a machine learning generative model for creating novel crystal structures with desired properties like chemical stability and composition.
  • To address the challenges of crystal structure generation, including lattice and atomic position determination.

Main Methods:

  • Adapted score-based probabilistic models using annealed Langevin dynamics for crystal generation.
  • Introduced a novel approach where the crystal lattice is learned and generated alongside atomic positions.
  • Utilized a multigraph crystal representation that respects symmetry constraints.

Main Results:

  • The model successfully generates new candidate crystal structures across various chemical systems and crystal groups without retraining.
  • The multigraph representation offers computational advantages and improves the quality of generated structures.
  • Demonstrated the model's capability through a comparative analysis with existing generative models.

Conclusions:

  • The proposed machine learning model offers a powerful and flexible method for de novo crystal structure generation.
  • This approach advances the design of novel materials with tailored properties by overcoming traditional limitations.