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相关概念视频

Metallic Solids02:37

Metallic Solids

18.4K
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....
18.4K
Structures of Solids02:22

Structures of Solids

14.2K
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...
14.2K
Network Covalent Solids02:18

Network Covalent Solids

13.5K
Network covalent solids contain a three-dimensional network of covalently bonded atoms as found in the crystal structures of nonmetals like diamond, graphite, silicon, and some covalent compounds, such as silicon dioxide (sand) and silicon carbide (carborundum, the abrasive on sandpaper). Many minerals have networks of covalent bonds.
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
13.5K
Molecular and Ionic Solids02:54

Molecular and Ionic Solids

17.2K
Crystalline solids are divided into four types: molecular, ionic, metallic, and covalent network based on the type of constituent units and their interparticle interactions.
Molecular Solids
Molecular crystalline solids, such as ice, sucrose (table sugar), and iodine, are solids that are composed of neutral molecules as their constituent units. These molecules are held together by weak intermolecular forces such as London dispersion forces, dipole-dipole interactions, or hydrogen bonds, which...
17.2K
Energy Bands in Solids01:01

Energy Bands in Solids

890
Isolated atoms have discrete energy levels that are well described by the Bohr model. And, it quantifies the energy of an electron in a hydrogen atom as En. Higher quantum numbers 'n' yield less negative, closer electron energy levels.
 Band Formation:
When atoms are brought close together, as in a solid, these discrete energy levels begin to split due to the overlap of electron orbitals from adjacent atoms. This split occurs because of the Pauli exclusion principle, which states...
890
First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

5.1K
Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about...
5.1K

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相关实验视频

Updated: Jul 13, 2025

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses

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随机堆叠的固体中的相关性.

Amna Khairi Nasr1,2, R Ganesh2

  • 1Sir Winston Churchill Secondary School, St Catharines, Ontario, Canada, L2T 2N1.

Physical review. E
|October 18, 2023
PubMed
概括
此摘要是机器生成的。

像巴洛堆叠和托尔卡托-斯蒂林格堆叠这样的球体包装结构在层相关性中表现出指数式衰变,即使偏差有利于特定的安排. 这一发现影响了对固体排序和合成方法的理解.

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Atomic Scale Structural Studies of Macromolecular Assemblies by Solid-state Nuclear Magnetic Resonance Spectroscopy
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A Uniaxial Compression Experiment with CO2-Bearing Coal Using a Visualized and Constant-Volume Gas-Solid Coupling Test System
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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
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Atomic Scale Structural Studies of Macromolecular Assemblies by Solid-state Nuclear Magnetic Resonance Spectroscopy
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Atomic Scale Structural Studies of Macromolecular Assemblies by Solid-state Nuclear Magnetic Resonance Spectroscopy

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A Uniaxial Compression Experiment with CO2-Bearing Coal Using a Visualized and Constant-Volume Gas-Solid Coupling Test System
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科学领域:

  • 凝聚物质物理学 凝聚物质物理学
  • 材料科学 材料科学 材料科学
  • 统计力学 统计力学

背景情况:

  • 球体包装是一个具有历史根源的基本问题,导致像面中心立方体 (FCC) 和六角密集包装 (HCP) 这样的密集结构.
  • 巴洛堆叠表示最大密度结构,而托尔卡托-斯蒂林格堆叠则建议在保持稳定性时保持最小密度.
  • 了解层相关性对于预测堆叠固体的特性和形成至关重要.

研究的目的:

  • 在随机的Barlow和Torquato-Stillinger堆叠家族中描述层相关性.
  • 为了研究拉性偏差对巴洛堆叠中的层相关性的影响.
  • 将堆叠结构与统计力学模型联系起来,以获得分析洞察力.

主要方法:

  • 使用哈格代码将巴洛堆映射到一个单维的伊辛磁铁模型.
  • 关联层的相关函数与伊辛模型的动量生成函数.
  • 分析Torquato-Stillinger堆叠,将它们映射到一个结合的伊辛和三态波茨模型中.

主要成果:

  • 随机的巴洛堆叠显示出呈指数级衰变的层相关性.
  • 引入一种奇拉性偏差,有利于FCC排序,仍然会导致指数式衰变,表明没有长距离的顺序.
  • 随机的Torquato-Stillinger堆叠也显示了指数级衰变的相关性,其形式类似于Barlow堆叠.

结论:

  • 在最大 (Barlow) 和最小 (Torquato-Stillinger) 密度堆叠家族中的层相关性在随机条件下呈指数级衰减.
  • 即使偏向于像FCC这样的特定结构,在这些堆叠模型中也无法实现远程顺序.
  • 这些发现对堆叠固体中的集群的排序和层沉积合成技术有意义.