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Biochemical and Structural Characterization of the Carbohydrate Transport Substrate-binding-protein SP0092

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Quantitative analysis of diffraction by liquids using a pink-spectrum X-ray source.

Saransh Singh¹, Amy L Coleman¹, Shuai Zhang²

¹Lawrence Livermore National Laboratory, Computational Engineering Division, Livermore, CA 94511, USA.

Journal of Synchrotron Radiation

|July 5, 2022

Summary

This summary is machine-generated.

This study introduces a new X-ray diffraction method for liquid density measurements, correcting for pink beam effects using Taylor expansion. The technique accurately determines densities of materials like shock-compressed tin.

Keywords:

Dynamic Compression Sector liquid scattering pink beam shock compression

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Area of Science:

Materials Science
Condensed Matter Physics
Analytical Chemistry

Background:

Quantitative structure-factor analysis and density measurements of liquids are crucial in materials science.
Traditional X-ray diffraction methods face challenges with polychromatic (pink) X-ray sources.
Accurate density determination under extreme conditions, such as shock compression, is vital for understanding material behavior.

Purpose of the Study:

To develop and validate a novel methodology for quantitative structure-factor analysis and density measurements of liquids using X-ray diffraction with a pink-spectrum X-ray source.
To address and correct for the pink beam effect inherent in polychromatic X-ray sources.
To enable accurate density measurements of materials, including those under dynamic compression.

Main Methods:

A Taylor series expansion of the diffraction signal is employed to correct for the pink beam effect.
A derivative-free optimization scheme is utilized to estimate key parameters: mean density, background scale factor, peak X-ray energy, and cutoff radius.
The methodology is demonstrated using simulated data for tin's radial distribution function.

Main Results:

The proposed formalism successfully corrects for the pink beam effect in X-ray diffraction data.
Density measurements derived from experimental data on shock-compressed tin show favorable agreement with existing experimental results and equations of state.
The method provides accurate quantitative structure-factor analysis and density determination for liquids.

Conclusions:

The developed methodology offers a robust approach for quantitative analysis and density measurements of liquids using pink-spectrum X-ray sources.
This technique enhances the reliability of X-ray diffraction studies, particularly for materials under dynamic compression.
The findings contribute to improved understanding of material properties under extreme conditions.