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. 2024 Jan 1;31(Pt 1):35-41.
doi: 10.1107/S160057752300961X. Epub 2024 Jan 1.

A method with ultra-high angular resolution for X-ray diffraction experiments

X M Zhang  1 , X Zheng  2 , X L Li  2 , F Q Meng  1 , S S Yin  3
Affiliations

A method with ultra-high angular resolution for X-ray diffraction experiments

X M Zhang et al. J Synchrotron Radiat. .

Abstract

In X-ray diffraction measurements, the angular resolution has a detection limit due to the receiving size of the detector. In many cases this detection limit is too large and must be breached to obtain the desired information. A novel method is proposed here by making the detector simultaneously measuring and moving. Using the deconvolution algorithm to remove the convolution effect, the pixel size limitation is finally broken. The algorithm used is not a common one, and suppresses signals at high frequencies, ensuring the reliability of the peak shape after restoration. The feasibility of this method is verified by successfully measuring the crystal truncation rod signal of SrTiO3 single crystal, and the resolution is nearly ten times higher than that of a single pixel. Moreover, this method greatly reduces the noise and improves the signal-to-noise ratio.

Keywords: X-ray diffraction; crystal truncation rod; deconvolution; super resolution.

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Figures

Figure 1
Figure 1
Schematic diagram of equivalent filtering of signals collected while the detector is moving.
Figure 2
Figure 2
The modulus of the Fourier transform of three trapezoidal filters and a box filter.
Figure 3
Figure 3
A typical result of receiving signals at the reciprocal space (0, 0, 1.9) position.
Figure 4
Figure 4
The result of angle conversion of different tested images.
Figure 5
Figure 5
Top: results of conventional measurement methods. Bottom: results using the methodology introduced in this article.
Figure 6
Figure 6
Comparison of the peak shapes of three peaks before and after deconvolution.
Figure 7
Figure 7
Results when the kernel size is too small (top) and too large (bottom).
Figure 8
Figure 8
Result when the kernel size of the three filters is the same.
Figure 9
Figure 9
Comparison of results calculated with different smoothing coefficients.
See this image and copyright information in PMC

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