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Chromatographic Resolution01:15

Chromatographic Resolution

In chromatography, a solute moves through a chromatographic column and tends to spread, forming a Gaussian-shaped band. The longer the solute spends in the column, the broader the band becomes. The broadening can lead to overlaps within the column, affecting separation effectiveness.
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Synthesis and Operation of Fluorescent-core Microcavities for Refractometric Sensing
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Published on: March 13, 2013

Approximate resolution convolution function for fitting a dispersion gap measured on a triple-axis spectrometer.

Emma Y Lenander1,2, Silas B Schack1, Kim Lefmann1

  • 1Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen Ø, Denmark.

Journal of Applied Crystallography
|June 3, 2026
PubMed
Summary
This summary is machine-generated.

Researchers developed a new analytical function to accurately fit dispersion gaps measured using triple-axis spectrometry (TAS). This method improves gap determination and data fitting for materials like MnF2, simplifying analysis for future studies.

Keywords:
analytical convolution functionsgap sizeresolution functionsspin wavestriple-axis spectrometers

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Spectroscopy

Background:

  • Dispersion gaps in materials present fitting challenges due to instrumental resolution effects.
  • Triple-axis spectrometry (TAS) is a key technique for measuring these gaps.
  • Existing fitting methods can be inaccurate or complex.

Purpose of the Study:

  • To develop a novel analytical convoluted gap function for improved fitting of dispersion gaps.
  • To enhance the accuracy of gap determination in TAS measurements.
  • To provide a reliable and simpler method for analyzing TAS data with gaps.

Main Methods:

  • Developed an analytical function incorporating instrumental Q resolution and parabolic dispersion.
  • Simulated data for the antiferromagnet MnF2 using a double-focusing TAS instrument.
  • Tested the function on experimental MnF2 data from a TAS-like instrument.

Main Results:

  • The new function provides a better fit and more accurate gap determination compared to previous methods.
  • Simulations and experimental data analysis on MnF2 successfully reproduced known gap sizes.
  • The function demonstrated reliable convergence and ease of implementation.

Conclusions:

  • The proposed analytical convoluted gap function is a superior tool for fitting dispersion gaps in TAS data.
  • This method offers improved accuracy and simplicity for analyzing magnetic materials like MnF2.
  • It is recommended for future gap fitting applications in TAS experiments.