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The Pauli Exclusion Principle

The Pauli Exclusion Principle

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:

The Quantum-Mechanical Model of an Atom

The Quantum-Mechanical Model of an Atom

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.

UV–Vis Spectroscopy: Molecular Electronic Transitions

UV–Vis Spectroscopy: Molecular Electronic Transitions

In Ultraviolet–Visible (UV–Vis) spectroscopy, the absorption of electromagnetic radiation is used to probe the electronic structure of molecules. This technique provides insights into molecular electronic transitions, particularly the movement of electrons between different molecular orbitals. Radiation is absorbed if the energy of the electromagnetic radiation passing through the molecule is precisely equal to the energy difference between the excited and ground states. During this...

UV–Vis Spectroscopy of Conjugated Systems

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Organic compounds with conjugated double bonds show strong absorption features in the UV–visible region of the electromagnetic spectrum attributed to π → π* electronic excitations. Generally, a UV–vis absorption spectrum is recorded as a plot of absorbance vs wavelength. The wavelength of maximum absorbance, which manifests as a peak in the absorption spectrum, is denoted as λmax.
One of the factors influencing λmax is the extent...

IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration

IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration

A covalently bonded heteronuclear diatomic molecule can be modeled as two vibrating masses connected by a spring. The vibrational frequency of the bond can be expressed using an equation derived from Hooke's law, which describes how the force applied to stretch or compress a spring is proportional to the displacement of the spring. In this case, the atoms behave like masses, and the bond acts like a spring.
According to Hooke's law, the vibrational frequency is directly proportional to...

Molecular Spectroscopy: Absorption and Emission

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Molecules possess discrete energy levels called quantum states. Unlike atoms, which have simpler energy levels, molecules possess additional rotational and vibrational energy levels. Each energy level is separated by an energy gap, with the gaps between adjacent electronic, vibrational, and rotational levels varying significantly. The three types of energy levels in a diatomic molecule are shown in Figure 1.

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Updated: May 27, 2025

High Resolution Phonon-assisted Quasi-resonance Fluorescence Spectroscopy

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开放量子系统的二维光谱学:没有平衡格林函数公式

Haoran Sun¹, Upendra Harbola², Shaul Mukamel³

¹Department of Chemistry & Biochemistry, University of California San Diego, La Jolla, California 92093, United States.

The journal of physical chemistry letters

|February 18, 2025

概括

此摘要是机器生成的。

这项研究开发了开放量子系统的二维光谱学,结合了光子流量和电子电流测量. 通过模拟验证的新理论,可以同时分析交叉点的光学和运输现象.

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High Resolution Phonon-assisted Quasi-resonance Fluorescence Spectroscopy

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Published on: June 28, 2016

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

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科学领域:

量子物理学的量子物理学
频谱学是一种光谱学.
凝聚物质物理学凝聚物质物理学

背景情况:

由于环境相互作用,开放的量子系统对表征提出了挑战.
同时测量多个流 (例如,光学和电子) 对于理解复杂的量子现象至关重要.
现有的光谱技术往往缺乏同时探测多个相关的动态的能力.

研究的目的:

开发适用于具有多个可测量流量的开放量子系统的二维光谱学的理论框架.
在统一的光谱方法中,将光学测量 (光子流) 与传输测量 (电子电流) 整合在一起.
提供一种方法,在不同测量领域同时分析相关的量子动力学.

主要方法:

开发一个非自相一致的不平衡格林函数公式.
扩展二维光谱理论以适应并发的光子流量和电子电流测量.
使用通用连接模型进行数值模拟,以证明理论推导.

主要成果:

已经建立了具有多个流量的开放量子系统的二维光谱的综合理论.
该框架成功地集成了光学和电子测量,使光子和电子动态的同时探测成为可能.
数字模拟证实了开发的理论方法的有效性和适用性.

结论:

提出的二维光谱法为研究开放系统中的复杂量子现象提供了一个强大的新工具.
这种方法有助于更深入地了解纳米级连接处光学和电荷传输特性之间的相互作用.
理论框架和模拟结果为相关量子测量的实验进步铺平了道路.