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Related Concept Videos

2D NMR: Overview of Heteronuclear Correlation Techniques01:18

2D NMR: Overview of Heteronuclear Correlation Techniques

Heteronuclear correlation spectroscopy is an analytical technique that investigates the coupling between different types of nuclei, often a proton and an X-nucleus, such as carbon-13 or nitrogen-15. This method is commonly used in nuclear magnetic resonance (NMR) spectroscopy to gain insights into complex chemical compounds' structural and compositional aspects. A typical heteronuclear correlation spectrum displays X-nucleus chemical shifts on one axis and a proton spectrum on the other axis.
2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)01:19

2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)

Heteronuclear single-quantum correlation spectroscopy (HSQC) is a 2D NMR technique that reveals one-bond correlations between hydrogen and a heteronucleus. The HSQC experiment is similar to the heteronuclear correlation experiment (HETCOR) but is more sensitive. In the HSQC spectrum, the proton chemical shift is plotted on the horizontal F2 axis, while the 13C chemical shift is plotted on the vertical F1 axis. The corresponding proton and 13C spectra are also shown. The HSQC contour plot does...
Raman Spectroscopy: Overview01:20

Raman Spectroscopy: Overview

The underlying principle of Raman spectroscopy is based on the interaction between light and matter, specifically molecules' inelastic scattering of photons. When a monochromatic beam of light, typically from a laser source, interacts with a sample, most scattered light has the same frequency as the incident light. This is known as Rayleigh scattering.
However, a small fraction of the scattered light exhibits a frequency shift due to the exchange of energy between the incident photons and the...
IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration01:16

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 the...
¹H NMR: Complex Splitting01:13

¹H NMR: Complex Splitting

A proton M that is coupled to a proton X results in doublet signals for M. However, NMR-active nuclei can be simultaneously coupled to more than one nonequivalent nucleus. When M is coupled to a second proton A, such as in styrene oxide, each peak in the doublet is split into another doublet.
Splitting diagrams or splitting tree diagrams are routinely used to depict such complex couplings. While drawing splitting diagrams, the splitting with the larger coupling constant is usually applied first.
IR Spectrum Peak Broadening: Hydrogen Bonding01:23

IR Spectrum Peak Broadening: Hydrogen Bonding

The vibrational frequency of a bond is directly proportional to its bond strength. As a result, stronger bonds vibrate at higher frequencies, while weaker bonds vibrate at lower frequencies. The stretching vibration of the strong O–H bond in alcohols and phenols (very dilute solution or gas phase) appears as a sharp peak at 3600–3650 cm−1.
However, the extent of hydrogen bonding influences the observed stretching frequency and band broadening. Intermolecular or intramolecular hydrogen bonding...

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Hyper-Rayleigh scattering from correlated molecules.

David P Shelton1

  • 1Department of Physics and Astronomy, University of Nevada, Las Vegas, Nevada 89154-4002, USA. shelton@physics.unlv.edu

The Journal of Chemical Physics
|April 26, 2013
PubMed
Summary
This summary is machine-generated.

Hyper-Rayleigh scattering polarization was calculated for orientation-correlated molecules. Results suggest molecularly correlated domains in polar liquids are approximately 100 molecular diameters in size, aligning with experimental data.

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Area of Science:

  • Nonlinear Optics
  • Molecular Spectroscopy
  • Condensed Matter Physics

Background:

  • Hyper-Rayleigh scattering (HRS) is a third-order nonlinear optical process sensitive to molecular hyperpolarizability.
  • Understanding molecular orientation and correlations is crucial for interpreting HRS signals in condensed phases.
  • Previous studies often assumed random molecular orientations, potentially overlooking collective effects.

Purpose of the Study:

  • To theoretically investigate the polarization dependence of hyper-Rayleigh scattering in systems with correlated molecular orientations.
  • To derive quantitative relationships between scattering polarization and molecular correlation parameters.
  • To estimate the size of correlated molecular domains in polar liquids based on experimental HRS observations.

Main Methods:

  • Calculation of hyper-Rayleigh scattering polarization ratios for spherical domains of molecules with specific orientation distributions.
  • Development of analytical expressions for polarization ratios based on radial and azimuthal mean polar orientation.
  • Modeling of correlation strength and correlated domain size effects on scattering signals.

Main Results:

  • Theoretical models incorporating radial or azimuthal molecular orientation distributions successfully reproduce experimental HRS polarization dependencies.
  • Expressions linking polarization ratios to the product of correlation strength and correlated domain size were derived.
  • Estimation of correlated domain size in typical polar liquids to be around 100 molecular diameters, assuming a plausible correlation strength.

Conclusions:

  • The polarization dependence of hyper-Rayleigh scattering is a sensitive probe of molecular orientational correlations.
  • Correlated molecular domains play a significant role in the nonlinear optical response of polar liquids.
  • The findings provide a framework for quantifying molecular organization in liquids using nonlinear optical techniques.