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Plane Electromagnetic Waves II01:29

Plane Electromagnetic Waves II

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Consider a plane wavefront traveling in position x-direction with a constant speed. This wavefront can be utilized to obtain the relationship between electric and magnetic fields with the help of Faraday's law.
3.0K
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

42.3K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
42.3K
Plane Electromagnetic Waves I01:30

Plane Electromagnetic Waves I

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The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
The EM field is assumed...
3.6K
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

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The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
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Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

42.4K
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,...
42.4K
Basic Equation for Pressure Field01:13

Basic Equation for Pressure Field

214
The basic equation for a pressure field in fluid mechanics captures the balance of forces within any segment of fluid, providing a foundational understanding of how pressure changes within fluids under various forces. Generally, two main types of forces act on any part of a fluid: surface forces and body forces. Surface forces arise from pressure differences across points within the fluid, which result in net forces that can vary depending on the local pressure gradient. Body forces, on the...
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Updated: Jun 26, 2025

In Situ Measurement of Vacuum Window Birefringence using 25Mg+ Fluorescence
07:03

In Situ Measurement of Vacuum Window Birefringence using 25Mg+ Fluorescence

Published on: June 13, 2020

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在量子相空间上具有三角窗函数的非亚迪亚巴特场.

Xin He1, Xiangsong Cheng1, Baihua Wu1

  • 1Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, College of Chemistry and Molecular Engineering, Peking University, Beijing 100871, China.

The journal of physical chemistry letters
|May 15, 2024
PubMed
概括

一种新的方法,非adiabatic场三角窗 (NaF-TW),准确地模拟量子系统. 这种方法在各种条件下捕捉了电子和核运动之间的复杂相互作用,改进了模拟.

科学领域:

  • 量子力学就是量子力学.
  • 计算化学是一种计算化学.
  • 物理化学 物理化学

背景情况:

  • 约束坐标-动量相空间 (CPS) 公式为有限态量子系统提供了洞察力.
  • 三角窗 (TW) 函数是二态系统对应函数的等态表示.

研究的目的:

  • 开发一种用于离散电子自由度 (DOF) 的新型表示.
  • 引入一种名为NaF-TW的非adiabatic场 (NaF) 方法的新变体,用于模拟量子动力学.

主要方法:

  • 使用三角窗 (TW) 函数和CPS映射内核元素.
  • 制定一个新的代表离散电子DOFs.
  • 实施NaF-TW方法用于非adiabatic动态模拟.

主要成果:

  • 在NaF-TW方法提供了一个积极的半确定的表达式,为adiabatic状态人群.
  • 广泛的基准测试证实了该方法在冷凝和气相中的准确性.
  • NaF-TW方法忠实地捕捉了电子和核DOF合或核运动分叉的动态.

结论:

  • NaF-TW方法为模拟量子动力学提供了强大而准确的表示.

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  • 这种方法在广泛的合模式和核运动特征中有效.