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Related Concept Videos

Trends in Lattice Energy: Ion Size and Charge02:54

Trends in Lattice Energy: Ion Size and Charge

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An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
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Metallic Solids02:37

Metallic Solids

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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.
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and malleability....
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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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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
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Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
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Related Experiment Video

Updated: Jun 18, 2025

Theoretical Calculation and Experimental Verification for Dislocation Reduction in Germanium Epitaxial Layers with Semicylindrical Voids on Silicon
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Tracking Lattice Distortion Induced by Defects and Framework Tin in Beta Zeotypes.

Yunfei Bai1,2, Esben Taarning1, Mahika Luthra3

  • 1Topsoe A/S, Haldor Topso̷es Allé 1, 2800 Kongens Lyngby, Denmark.

The Journal of Physical Chemistry. C, Nanomaterials and Interfaces
|August 2, 2024
PubMed
Summary
This summary is machine-generated.

Powder X-ray diffraction (PXRD) reveals a strong link between tin concentration, defects, and crystal structure in Sn-Beta materials. This method offers a fast way to assess structural changes and catalytic potential in zeotypes.

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Area of Science:

  • Materials Science
  • Crystallography
  • Catalysis

Background:

  • Zeotype materials, such as Sn-Beta, are crucial in catalysis.
  • Understanding their crystal structure and defect sites is key to optimizing performance.
  • Powder X-ray diffraction (PXRD) is a primary tool for structural analysis.

Purpose of the Study:

  • To investigate the crystal structure of Sn-Beta materials using PXRD.
  • To establish correlations between lattice parameters, tin concentration, and defects.
  • To explore the influence of preparation methods (hydrothermal vs. postsynthetic) on structure.

Main Methods:

  • Utilizing powder X-ray diffraction (PXRD) with lattice parameter refinement.
  • Applying a novel semiempirical PXRD model with a reduced tetragonal unit cell.
  • Conducting density functional theory (DFT) studies for theoretical validation.

Main Results:

  • A robust correlation was found between lattice parameters and tin/defect concentration.
  • Postsynthetic (PT) Sn-Beta samples showed expanded unit cells due to higher defect density.
  • Hydrothermal (HT) Sn-Beta samples exhibited lattice distortion directly related to framework tin density.
  • DFT studies confirmed the observed trends in lattice distortion upon tin substitution.

Conclusions:

  • PXRD is a rapid and effective method for characterizing framework defects and heteroatom density in zeotypes.
  • This approach enables monitoring of structural changes and evaluation of catalytic properties.
  • The findings provide insights into tailoring Sn-Beta materials for specific catalytic applications.