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相关概念视频

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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Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

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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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X-ray Crystallography02:18

X-ray Crystallography

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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.
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...
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The de Broglie Wavelength02:32

The de Broglie Wavelength

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In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
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Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

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In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
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Energy Associated With a Charge Distribution01:21

Energy Associated With a Charge Distribution

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The work done to bring a charge through a distance r is given by the potential difference between the initial and the final position. To assemble a collection of point charges, the total work done can be expressed in terms of the product of each pair of charges divided by their separation distance, defined with respect to a suitable origin. Solving this expression gives the energy stored in a point charge distribution.
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相关实验视频

Updated: Jul 4, 2025

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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在概括的维格纳晶体中映射电荷激发.

Hongyuan Li1,2,3, Ziyu Xiang1,2,3, Emma Regan1,2,3

  • 1Department of Physics, University of California at Berkeley, Berkeley, CA, USA.

Nature nanotechnology
|January 29, 2024
PubMed
概括

研究人员在扭曲的过渡金属二甲基化物莫雷超中对维格纳晶体的准粒子激发进行了成像. 这一突破揭示了互补的电子和洞波函数,并证实了这些相关量子状态中的热力学差距.

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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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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
  • 量子力学就是量子力学.

背景情况:

  • 过渡金属二甲基化物 (TMD) 摩尔超级晶状体拥有强大的电子相关性,导致像通用维格纳晶体这样的现象.
  • 以前的研究通过光谱学和导电性证实了维格纳晶体,但缺乏对其性质的微观细节.
  • 理论模型预测由于库伦相互作用,维格纳晶体中独特的准粒子激发,但实验证据很少.

研究的目的:

  • 在广义的维格纳晶体状态下直接成像电子和孔波函数.
  • 为了确定这些状态在扭曲的WS2 moiré异构结构中的热力学差距.
  • 为预测准粒子激发提供微观证据.

主要方法:

  • 开发了一种扫描单电子充电光谱技术,采用纳米和单电子电荷分辨率.
  • 综合扫描道显微镜与单层石墨烯感应层.
  • 在维格纳晶体内生成并成像单个电子和洞准粒子.

主要成果:

  • 成功成像了电子和孔波函数,证明了互补的空间分布.
  • 确定了大约50 meV的热力学间隙,用于1/3和2/3的通用维格纳晶体状态.
  • 提供了直接的,高分辨率的等粒子行为在相关的莫雷系统的可视化.

结论:

  • 开发的光谱技术为维格纳晶体的微观特性提供了前所未有的洞察力.
  • 互补的准粒子波函数和可测量的热力学差距验证了理论预测.
  • 这项工作有助于我们更好地理解莫伊尔超直线中强烈相关的量子现象.