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関連する概念動画

IR Spectroscopy: Molecular Vibration Overview01:24

IR Spectroscopy: Molecular Vibration Overview

2.6K
When Infrared (IR) radiation passes through a covalently bonded molecule, the bonds transition from lower to higher vibrational levels. The fundamental vibrational motions that result in infrared absorption can be classified as stretching or bending vibrations.
Stretching vibrations are vibrational motions that occur along the bond line, changing the bond length or distance between two bonded atoms. They are further distinguished as symmetric or asymmetric. In symmetric stretching, the...
2.6K
IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration01:16

IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration

1.5K
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...
1.5K
¹H NMR of Conformationally Flexible Molecules: Temporal Resolution00:52

¹H NMR of Conformationally Flexible Molecules: Temporal Resolution

902
At room temperature, the chair conformer of cyclohexane undergoes rapid ring flipping between two equivalent chair conformers at a rate of approximately 105 times per second. These two chair conformers are in equilibrium. The rapid ring flipping results in the interconversion of the axial proton to an equatorial proton and an equatorial to the axial proton. Such interconversions are too rapid and cannot be detected on the NMR timescale. Hence, the NMR spectrometer cannot distinguish between the...
902
Modes of Standing Waves - I01:03

Modes of Standing Waves - I

3.0K
A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This...
3.0K
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

982
In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
982
Modes of Standing Waves: II01:04

Modes of Standing Waves: II

901
The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end....
901

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Vibrational Spectra of a N719-Chromophore/Titania Interface from Empirical-Potential Molecular-Dynamics Simulation, Solvated by a Room Temperature Ionic Liquid
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Vibrational Spectra of a N719-Chromophore/Titania Interface from Empirical-Potential Molecular-Dynamics Simulation, Solvated by a Room Temperature Ionic Liquid

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分子振動に対するコンコードントモードアプローチ

Mitchell E Lahm1, Nathaniel L Kitzmiller1, Henry F Mull1

  • 1Center for Computational Quantum Chemistry, University of Georgia, Athens, Georgia 30602 United States.

Journal of the American Chemical Society
|December 15, 2022
PubMed
まとめ

コンコードントモードアプローチ (CMA) は,量子化学計算のための新しい階層を提供し,より大きなシステムのための調和振動周波数のより速い計算を可能にします. この方法は,高い精度を維持しながら,計算を大幅に高速化します.

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Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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関連する実験動画

Last Updated: Aug 17, 2025

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08:54

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ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis
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Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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科学分野:

  • コンピュータ化学
  • 量子化学について
  • スペクトロスコーピー

背景:

  • ハーモニック振動周波数の正確な計算は,分子特性と反応機構を理解するために不可欠です.
  • 現在の計算方法は,システムサイズと高レベルの理論の計算コストの制限に直面しています.

研究 の 目的:

  • コンコードント・モード・アプローチ (CMA) を新しい計算階層として導入する.
  • より大きなシステムで,高効率で正確な振動周波数の計算を可能にします.

主な方法:

  • CMAは,より低いレベルの理論 (B) から,より高いレベルの理論 (A) の基礎として,転送可能な内部座標正規モードを使用する.
  • このアプローチは,システムのサイズに応じて線形にスケールされ,CPUの時間を大幅に高速化します.
  • CCSD(T) /cc-pVTZ (レベルA) とCCSD(T) /cc-pVDZとB3LYP/6-31G(2df,p (レベルB) を使用して検証されています.

主要な成果:

  • CMAはCPU時間でほぼ数位のスピードアップを達成しました.
  • 縦横のCMA-0A ((nc) スキームは,平均絶対偏差 (MADs) が0.2cm−1で驚くべき精度を示した.
  • 周波数残留値の標準偏差は0. 5cm−1未満でした.
  • ゼロポイントの振動エネルギー (ZPVE) は軽微な誤差を示した (~0.3 cm−1).

結論:

  • CMAは,計算効率が高く,高精度の振動周波数を決定するための方法を提供します.
  • このアプローチは,より大きな分子システムのための高レベルの量子化学計算の実現可能性を大幅に拡大します.
  • CMAは計算機スペクトロスコーピーと量子化学の 重要な進歩を表しています