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Homonuclear correlation spectroscopy, or COSY, is a 2-dimensional NMR technique that provides information about coupled protons. Typically, the geminal and vicinal coupling are observed. For example, consider the COSY spectrum of ethyl acetate, where its 1D proton NMR spectrum is plotted along the vertical and horizontal axes with their corresponding chemical shift scale. Three spots on the diagonal corresponding to the three peaks in the 1D proton spectrum are called diagonal peaks. The COSY...
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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...
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Two-Dimensional (2D) NMR: Overview01:12

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The 1D NMR spectrum of large and complex molecules like natural products has complicated splitting patterns and overlapping signals, which can be easily interpreted using 2-dimensional (2D) NMR. Unlike 1D NMR, 2D NMR has two frequency axes that provide the coupling information between the nucleus A and nucleus B in a molecule. The process from which 2D spectra are obtained has four steps.
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IR Spectroscopy: Molecular Vibration Overview01:24

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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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Homonuclear correlation spectroscopy (COSY) is a powerful technique used in Nuclear Magnetic Resonance (NMR) spectroscopy to study the correlations between nuclei of the same type within a molecule. It provides information about scalar couplings between adjacent nuclei, which helps determine connectivity and structural information. There are several COSY variants, each with its unique strengths and experimental parameters.
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2D NMR: Overview of Heteronuclear Correlation Techniques01:18

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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...
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Nonresonant coherent two-dimensional spectroscopy.

Jakub Dostál1

  • 1Department of Chemical Physics and Optics, Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, Prague 121 16, Czech Republic; ELI Beamlines, Institute of Physics, Czech Academy of Sciences, Za Radnicí 835, Dolní Břežany 252 41, Czech Republic.

Spectrochimica Acta. Part A, Molecular and Biomolecular Spectroscopy
|October 22, 2021
PubMed
Summary

This study adapts double-sided Feynman diagrams for nonresonant coherent two-dimensional spectroscopy. It reveals how to identify and analyze parasitic signals, offering a new framework for studying optical Kerr-effect and other nonresonant phenomena.

Keywords:
Coherent two-dimensional spectroscopyCross-phase modulationNonresonant interactionOptical Kerr effectStimulated Raman scatteringTwo-photon absorption

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Area of Science:

  • Physical Chemistry
  • Spectroscopy
  • Quantum Optics

Background:

  • Coherent two-dimensional spectroscopy (2D spectroscopy) typically analyzes resonant optical excitation.
  • Nonresonant interactions can yield detectable spectral contributions, often as weak parasitic signals.
  • These nonresonant signals are usually discarded, limiting comprehensive spectral analysis.

Purpose of the Study:

  • To adapt the double-sided Feynman diagram formalism for nonresonant coherent 2D spectroscopy.
  • To analytically calculate third-order polarization for two- and three-level systems in the nonresonant regime.
  • To demonstrate the spectral signatures of various nonresonant phenomena in 2D spectra.

Main Methods:

  • Adaptation of double-sided Feynman diagram formalism.
  • Analytical calculation of third-order polarization.
  • Theoretical modeling of two- and three-level systems.

Main Results:

  • Demonstration of optical Kerr-effect signatures in 2D spectra.
  • Identification of cross-phase modulation and excited-state coherence contributions.
  • Analysis of two-photon absorption and stimulated Raman scattering in the nonresonant regime.

Conclusions:

  • The adapted formalism provides a framework for studying nonresonant phenomena using 2D spectroscopy.
  • Nonresonant spectral contributions can be systematically analyzed, not just discarded.
  • This opens new avenues for investigating complex molecular interactions and dynamics.