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Emission Spectra02:39

Emission Spectra

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When solids, liquids, or condensed gases are heated sufficiently, they radiate some of the excess energy as light. Photons produced in this manner have a range of energies, and thereby produce a continuous spectrum in which an unbroken series of wavelengths is present.
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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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NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

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When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
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Electron Paramagnetic Resonance (EPR) Spectroscopy: Organic Radicals01:17

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Ideally, an unpaired electron shows a single peak in the EPR spectrum due to the transition between the two spin energy states. However, coupling interactions can occur between the spins of the unpaired electron and any neighboring spin-active nuclei. This hyperfine coupling results in hyperfine splitting, where the EPR signal is split into multiplets. The signals split into 2nI + 1 peaks, where n is the number of equivalent nuclei and I is the nuclear spin. These splitting patterns provide...
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¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)01:20

¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)

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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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Insensitive Nuclei Enhanced by Polarization Transfer (INEPT)01:15

Insensitive Nuclei Enhanced by Polarization Transfer (INEPT)

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Insensitive Nuclei Enhanced by Polarization Transfer (INEPT) is an advanced Nuclear Magnetic Resonance (NMR) technique specifically designed to detect and enhance the signals of low-abundance nuclei, such as carbon-13 and nitrogen-15, in small molecules. The fundamental principle behind INEPT is the transfer of polarization from a more abundant and highly polarizable nucleus, typically hydrogen-1, to the low-abundance nucleus of interest. This process effectively boosts the NMR signal of the...
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Updated: Dec 10, 2025

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

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Efficient Excitations and Spectra within a Perturbative Renormalization Approach.

Oliver J Backhouse1, George H Booth1

  • 1Department of Physics, King's College London, Strand, London WC2R 2LS, U.K.

Journal of Chemical Theory and Computation
|September 4, 2020
PubMed
Summary

This study introduces a self-consistent Green's function method for accurate computation of charged excitations. The approach improves predictions of ionization potentials and electron affinities in molecules.

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Area of Science:

  • Computational Chemistry
  • Quantum Mechanics
  • Electronic Structure Theory

Background:

  • Accurate computation of charged excitations is crucial for understanding molecular properties.
  • Existing methods often struggle with balancing accuracy and computational cost.
  • Self-energy effects play a significant role in correlated quasiparticle spectra.

Purpose of the Study:

  • To develop a self-consistent approach for calculating correlated quasiparticle spectra of charged excitations.
  • To improve the accuracy of ionization potential and electron affinity predictions.
  • To provide a computationally efficient method for electronic structure calculations.

Main Methods:

  • Utilizes an auxiliary second-order Green's function approach.
  • Constructs a self-consistent effective Hamiltonian by renormalizing dynamical self-energy effects.
  • Employs iterative renormalization and truncation of 2h1p and 1h2p spaces.

Main Results:

  • Demonstrates substantial improvement in ionization potential and electron affinity predictions on the W4-11 molecular test set.
  • Achieves superior accuracy compared to similarly scaling quantum chemical methods like EOM-CC2 and ADC(2).
  • Eliminates dependence on the mean-field reference due to self-consistency.

Conclusions:

  • The presented self-consistent approach offers a robust and accurate method for charged excitation calculations.
  • The method provides direct access to the quasiparticle spectrum and Dyson orbital localization.
  • It enables efficient computation of correlated electronic properties for molecular systems.