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Related Concept Videos

Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule01:10

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In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1  triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the...
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¹H NMR: Complex Splitting01:13

¹H NMR: Complex Splitting

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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.
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...
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¹H NMR: Interpreting Distorted and Overlapping Signals01:02

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1.7K
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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Extraction: Partition and Distribution Coefficients01:14

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The distribution law or Nernst's distribution law is the law that governs the distribution of a solute between two immiscible solvents. This law, also known as the partition law, states that if a solute is added to the mixture of two immiscible solvents at a constant temperature, the solute is distributed between the two solvents in such a way that the ratio of solute concentrations in the solvents remains constant at equilibrium.
For extracting a solute from an aqueous phase into an...
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¹H NMR Signal Multiplicity: Splitting Patterns01:13

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When protons A and X are coupled, their nuclear spin energy levels are slightly modified. This is because the energy required to excite proton A to a spin state parallel to proton X is slightly different from the energy required for it to become anti-parallel to spin X. Consequently, there are two possible excitation frequencies for A (A1 and A2), depending on the spin state of X, and vice versa. The mutual nature of coupling implies that the difference between frequencies A1 and A2, indicated...
8.5K
Double Resonance Techniques: Overview01:12

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Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...
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Paramagnetic Relaxation Enhancement for Detecting and Characterizing Self-Associations of Intrinsically Disordered Proteins
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Algorithm for systematic peak extraction from atomic pair distribution functions.

L Granlund1, S J L Billinge2, P M Duxbury1

  • 1Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan, 48824, USA.

Acta Crystallographica. Section A, Foundations and Advances
|July 2, 2015
PubMed
Summary
This summary is machine-generated.

ParSCAPE is a new algorithm for extracting atomic pair distribution function (PDF) data. It uses the Akaike information criterion (AIC) for model selection, improving accuracy for crystal structure analysis.

Keywords:
Akaike information criterioncomputer programmodel selectionpair distribution functionpeak extraction

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Area of Science:

  • Materials Science
  • Crystallography
  • Computational Chemistry

Background:

  • Atomic pair distribution functions (PDFs) are crucial for understanding material structures at the nanoscale.
  • Extracting accurate peak information from PDFs is challenging due to experimental noise and termination effects.
  • Existing methods often rely on predefined structural models, limiting their applicability.

Purpose of the Study:

  • To develop a model-independent algorithm for extracting peak positions and intensities from PDFs.
  • To implement a statistically motivated method for selecting the most parsimonious peak models.
  • To assess the algorithm's robustness against experimental uncertainties and noise.

Main Methods:

  • The ParSCAPE algorithm iteratively clusters data and uses chi-square fitting.
  • The Akaike information criterion (AIC) is employed for statistically selecting optimal peak models.
  • Performance is validated using synchrotron X-ray PDFs from bulk crystals and nanoparticles.

Main Results:

  • ParSCAPE accurately extracts peak parameters from PDFs without requiring a structural model.
  • The algorithm demonstrates high resistance to spurious peaks caused by noise and termination effects.
  • Automated structure solution using ParSCAPE and the Liga algorithm is successfully demonstrated for multiple crystalline materials.

Conclusions:

  • ParSCAPE offers a robust and statistically sound approach for model-independent PDF analysis.
  • The method enhances the reliability of structural information derived from PDF data, particularly for nanomaterials.
  • This advancement facilitates more accurate crystal structure determination and analysis.