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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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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.
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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...
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Atomic Absorption Spectroscopy (AAS) atomizes samples through flame atomization or electrothermal atomization. Flame atomization typically involves a nebulizer and spray chamber assembly to combine the sample with a fuel–oxidant mixture, creating a fine aerosol mist that enters a burner. Typically, the fuel and oxidant are combined in an approximately stoichiometric ratio. However, for atoms that are easily oxidized, a fuel-rich mixture may be more advantageous. Only about 5% of the...
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Chemical Ionization (CI) Mass Spectrometry01:21

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The molecular ion peak of a molecule in the mass spectrum provides vital information for molecular identification. However, conventional electron impact ionization can lead to the rapid dissociation of some molecular ions before they reach the detector. A milder ionization method is required to increase the lifetime of such ionized analyte molecules. Chemical ionization (CI) is a gas-phase protonation reaction useful for mass-analyzing analyte molecules that are easily protonated to yield the...
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IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations01:08

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Identical bonds within a polyatomic group can stretch symmetrically (in-phase) or asymmetrically (out-of-phase). Similar to hydrogen bonding, these vibrations also influence the shape of the IR peak. Generally, asymmetric stretching frequencies are higher than symmetric stretching frequencies. For example, primary amines exhibit two distinct IR peaks between 3300–3500 cm−1 corresponding to the symmetric and asymmetric N-H stretching, while secondary amines exhibit a single...
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Semiclassical Approach to Computing Vibrationally Resolved Ionization Cross Sections for Molecular Nitrogen.

Paul E Adamson1, Darryl J Watkins1, Michael V Pak2

  • 1Naval Research Laboratory, Washington, District of Columbia 20375, United States.

The Journal of Physical Chemistry. A
|April 9, 2025
PubMed
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This study presents a semiclassical model for calculating electron-impact ionization cross sections in molecular nitrogen. The model provides detailed, vibrationally resolved data, enhancing understanding of molecular nitrogen ionization processes.

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Area of Science:

  • Atomic and Molecular Physics
  • Quantum Chemistry
  • Computational Chemistry

Background:

  • Electron-impact ionization is crucial for understanding plasma physics and atmospheric chemistry.
  • Accurate cross-section calculations are essential for modeling these phenomena.
  • Previous models often lacked detailed vibrational resolution for molecular targets.

Purpose of the Study:

  • To develop and apply a semiclassical model for computing vibrationally resolved electron-impact ionization cross sections for molecular nitrogen.
  • To extend existing theoretical frameworks for electron-molecule interactions.
  • To provide accurate cross-section data for molecular nitrogen.

Main Methods:

  • Utilized a semiclassical model based on the Gryzinski theory.
  • Employed the multireference configuration interaction (MRCI) method with complete active space self-consistent field (CASSCF) reference wave functions to compute potential energy curves (PECs) and electronic wave functions.
  • Calculated nuclear wave functions and vibrational energy levels using the Fourier grid Hamiltonian method.
  • Determined target orbital electron kinetic energies, Franck-Condon factors, and transition energies from computed wave functions and energy levels.

Main Results:

  • Computed vibrationally resolved electron-impact ionization cross sections for molecular nitrogen.
  • Extended the Wünderlich model for molecular hydrogen to molecular nitrogen.
  • Obtained lumped and total cross sections by summing partial cross sections using Franck-Condon theory.

Conclusions:

  • The developed semiclassical model successfully computes vibrationally resolved electron-impact ionization cross sections for molecular nitrogen.
  • The approach provides a more detailed understanding of the ionization dynamics compared to previous methods.
  • The calculated cross sections can be used in various applications, including plasma modeling and atmospheric science.