Ab initio crystal structure determination using X-ray fluorescence holography for different noise levels: numerical...

Area of Science:

• Materials Science
• Crystallography
• Condensed Matter Physics

Background:

• X-ray fluorescence holography (XFH) is a technique for analyzing atomic structures.
• Ab initio structure determination methods aim to solve crystal structures without prior knowledge.
• Previous work by Chukhovskii & Poliakov introduced an ab initio structure determination method.

Purpose of the Study:

• To evaluate the performance of an ab initio structure determination method using XFH data.
• To assess the method's robustness under varying noise levels in XFH scans.
• To numerically restore structure factors from simulated XFH data.

Main Methods:

• Calculated two-dimensional angular scans using XFH for a Cu(3)Au single crystal.
• Simulated XFH data with different noise levels, up to the magnitude of the signal.
• Employed a linear regression algorithm based on Chukhovskii & Poliakov's work to restore structure factors.

Main Results:

• The numerical restoration of structure factors was successful even with high noise levels.
• The restored structure factors demonstrated good accuracy, validating the restoration procedure.
• The ab initio structure determination method proved effective with noisy XFH data.

Conclusions:

• The validated ab initio method is efficient for structure determination using XFH.
• The method demonstrates robustness and accuracy even when XFH data contains significant noise.
• This approach supports reliable crystal structure analysis in challenging experimental conditions.