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Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

11.3K
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...
11.3K
Bewley Lattice Diagram01:12

Bewley Lattice Diagram

1.4K
The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
1.4K
Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

48.0K
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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Valence Bond Theory02:42

Valence Bond Theory

11.1K
Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
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Valence Bond Theory02:45

Valence Bond Theory

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Overview of Valence Bond Theory
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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...
17.4K

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相关实验视频

Updated: Jan 11, 2026

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在扭曲的正方形和三角形格子中,债券透.

Bishnu Bhowmik1, Sayantan Mitra2, Robert M Ziff3

  • 1University of Gour Banga, Department of Physics, Malda-732103, India.

Physical review. E
|November 18, 2025
PubMed
概括
此摘要是机器生成的。

在扭曲格子中的债券透显示了复杂的行为. 在正方形和三角格子中,当连接值超过格子常数1时,连接透值会随着扭曲而增加.

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科学领域:

  • 统计物理学的统计物理.
  • 凝聚物质物理学 凝聚物质物理学
  • 网络科学 网络科学

背景情况:

  • 透理论研究了随机系统中的连接性.
  • 格子扭曲可以显著改变网络属性.
  • 了解债券透对于材料科学和网络分析至关重要.

研究的目的:

  • 在扭曲的正方形和三角形格子中研究债券透.
  • 分析站点位移和连接值对透值的影响.
  • 描述跨越配置的关键连接值.

主要方法:

  • 使用蒙特卡洛模拟.
  • 网格因随机位部位位移而扭曲,由参数α控制.
  • 债券占用是由债券长度 (δ) 和连接值 (d) 决定的.

主要成果:

  • 对于d > 1,债券透值 (p_b) 随着两个格子的扭曲 (α) 增加.
  • 方格格子在d ≤ 1时没有跨度,而三角格子则有跨度,p_b在低α时下降.
  • 确定了一个关键连接值 (d_c),在此下方不会发生跨度,为方形和三角格子表现出不同的行为.

结论:

  • 格子几何和扭曲显著影响债券透值.
  • 平均协调数与观察到的透行为相关联.
  • 关键连接值 (d_c) 为网格连接分析提供了一个基本参数.