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IR Spectroscopy: Molecular Vibration Overview01:24

IR Spectroscopy: Molecular Vibration Overview

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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...
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IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration01:16

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

¹H NMR of Conformationally Flexible Molecules: Temporal Resolution

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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...
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Modes of Standing Waves - I01:03

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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...
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Spin–Spin Coupling Constant: Overview01:08

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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...
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Modes of Standing Waves: II01:04

Modes of Standing Waves: II

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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....
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Enfoque del modo concordante para las vibraciones moleculares

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
Resumen

El enfoque de modo concordante (CMA) ofrece una nueva jerarquía para los cálculos químicos cuánticos, lo que permite cálculos más rápidos de frecuencias vibratorias armónicas para sistemas más grandes. Este método acelera significativamente los cálculos manteniendo una alta precisión.

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Área de la Ciencia:

  • Química computacional
  • Química Cuántica
  • Espectroscopia

Sus antecedentes:

  • El cálculo preciso de las frecuencias vibratorias armónicas es crucial para comprender las propiedades moleculares y los mecanismos de reacción.
  • Los métodos computacionales actuales enfrentan limitaciones en el tamaño del sistema y el costo computacional para las teorías de alto nivel.

Objetivo del estudio:

  • Introducir el enfoque de modo concordante (CMA) como una nueva jerarquía computacional.
  • Permitir el cálculo eficiente y preciso de las frecuencias de vibración armónicas para sistemas más grandes.

Principales métodos:

  • CMA utiliza modos normales de coordenadas internas transferibles desde un nivel inferior de teoría (B) como base para la teoría de nivel superior (A).
  • Este enfoque se escala linealmente con el tamaño del sistema, lo que permite una aceleración significativa del tiempo de la CPU.
  • Se ha validado contra CCSD(T) /cc-pVTZ (nivel A) utilizando CCSD(T) /cc-pVDZ y B3LYP/6-31G(2df,p) (nivel B).

Principales resultados:

  • CMA logró casi un orden de magnitud de aceleración en el tiempo de la CPU.
  • El esquema diagonal CMA-0A(nc mostró una precisión notable con desviaciones absolutas medias (MAD) de 0,2 cm−1.
  • Las desviaciones estándar para los residuos de frecuencia fueron inferiores a 0,5 cm-1.
  • Las energías vibratorias de punto cero (ZPVE) exhibieron errores insignificantes (~ 0,3 cm-1).

Conclusiones:

  • CMA proporciona un método computacionalmente eficiente y altamente preciso para determinar las frecuencias de vibración armónica.
  • El enfoque expande significativamente la viabilidad de los cálculos químicos cuánticos de alto nivel para sistemas moleculares más grandes.
  • La CMA representa un avance significativo en la espectroscopia computacional y la química cuántica.