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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.
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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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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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When proton-coupled carbon-13 spectra are simplified by a broadband proton decoupling technique, structural information about the coupled protons is lost. Distortionless enhancement by polarization transfer (DEPT) is a technique that provides information on the number of hydrogens attached to each carbon in a molecule. While the DEPT experiment utilizes complex pulse sequences, the pulse delay and flip angle are specifically manipulated. The resulting signals have different phases depending on...
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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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¹H NMR: Complex Splitting01:13

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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.
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Cluster-Weighting in Bulk Phase Vibrational Circular Dichroism.

Jan Blasius1, Barbara Kirchner1

  • 1Mulliken Center for Theoretical Chemistry, Rheinische Friedrich-Wilhelms-Universität Bonn, Beringstr. 4+6, D-53115 Bonn, Germany.

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We developed a new cluster-weighting method to calculate vibrational circular dichroism (VCD) spectra for bulk systems. This approach accurately predicts VCD spectra, aiding in absolute configuration assignment for molecules in condensed phases.

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Area of Science:

  • Computational Chemistry
  • Spectroscopy
  • Quantum Chemistry

Background:

  • Vibrational Circular Dichroism (VCD) spectroscopy is crucial for determining molecular structure and absolute configuration.
  • Calculating VCD spectra for bulk systems, especially those with hydrogen bonding, presents significant computational challenges.
  • Existing methods often struggle to accurately represent complex interactions and solvation effects in condensed phases.

Purpose of the Study:

  • To introduce a novel cluster-weighting approach for calculating VCD spectra of bulk phase systems.
  • To provide a computationally efficient method for predicting VCD spectra that accounts for various molecular interactions and solvation.
  • To enable accurate assignment of absolute configurations using experimental bulk phase VCD spectra.

Main Methods:

  • Utilized quantum cluster equilibrium theory to determine cluster populations via self-consistent field calculations.
  • Developed a method to mix differently sized oligomers and their corresponding VCD spectra.
  • Employed cluster weights to calculate overall gas or bulk phase VCD spectra, intrinsically handling solvation and various structural motifs.

Main Results:

  • Demonstrated that cluster weights are less sensitive to the level of theory compared to Boltzmann weights.
  • Showed that increasing oligomer size and truncating low-populated clusters improves agreement between theoretical and experimental VCD spectra.
  • Achieved sufficient spectral overlap for absolute configuration assignment based on experimental bulk phase spectra.

Conclusions:

  • The cluster-weighting approach offers a valuable tool for fast and accurate VCD spectra calculation in bulk systems.
  • This method effectively captures essential interactions, including hydrogen bonding and solvation, without explicit treatment.
  • The approach facilitates reliable absolute configuration assignment, bridging the gap between theoretical predictions and experimental observations.