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Related Concept Videos

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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¹H NMR: Interpreting Distorted and Overlapping Signals01:02

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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
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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.
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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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2D NMR: Homonuclear Correlation Spectroscopy (COSY)01:06

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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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¹H NMR of Conformationally Flexible Molecules: Variable-Temperature NMR01:15

¹H NMR of Conformationally Flexible Molecules: Variable-Temperature NMR

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The axial and equatorial protons in cyclohexane can be distinguished by performing a variable-temperature NMR experiment. In this process, except for one proton, the remaining eleven protons are replaced by deuterium. The deuterium substitution avoids the possible peak splitting caused by the spin-spin coupling between the adjacent protons. The remaining proton flips between the axial and equatorial positions.
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Short-time dynamics at a conical intersection in high-harmonic spectroscopy.

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High-harmonic spectroscopy reveals molecular dynamics with unprecedented resolution. This study develops a new method to analyze nuclear motion, finding it can deviate from expected decay and show revivals.

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Area of Science:

  • Physical Chemistry
  • Quantum Dynamics
  • Spectroscopy

Background:

  • High-harmonic spectroscopy (HHS) offers sub-Ångstrom spatial and subfemtosecond temporal resolution for probing molecular dynamics.
  • Nuclear dynamics in molecular cations influence HHS spectra via autocorrelation functions.

Purpose of the Study:

  • Develop an analytical method to compute short-time nuclear autocorrelation functions near conical intersections.
  • Investigate the impact of nonadiabatic coupling and laser-induced dynamics on HHS spectra.

Main Methods:

  • Analytical computation of nuclear autocorrelation functions.
  • Application to benzene (C6H6) and fluorobenzene (C6H5F) molecules.
  • Analysis of deviations from Gaussian decay and potential wavepacket revivals.

Main Results:

  • High-harmonics generated within the same electronic channel are insensitive to nonadiabatic dynamics.
  • Calculated autocorrelation functions show significant deviations from Gaussian decay.
  • Observed potential wavepacket revivals at approximately 1.5 fs.

Conclusions:

  • The phase of the nuclear wavepacket may serve as an experimental signature for nonadiabatic dynamics.
  • The developed analytical approach provides insights into molecular dynamics probed by HHS.
  • Nonadiabatic effects may be masked in certain HHS channels despite population transfer.