Angle calibration and error analysis of wide-angle X-ray scattering (WAXS) with a one-dimensional linear detector

Abstract

Wide-angle X-ray scattering (WAXS) is routinely used to characterize the ordered structure in materials. The measured angles are generally calibrated by using standard samples with several diffraction peaks. When a WAXS instrument uses a one-dimensional linear detector, which is tilted to the direct beam, the angle calibrations need three standard diffraction peaks. This contribution presents the corresponding analytical solution of the calibration equations and error estimation matrix and performs error simulation and experimental verification. The results show that the selected three standard diffraction peaks should uniformly span and widely cover the detector to reduce the error of angle calibration.

Keywords:

• Angle calibration
• error
• standard sample
• wide-angle x-ray scattering (WAXS)
• x-ray diffraction (XRD)

Declaration of interest

No potential conflicts of interest are reported by the authors.

Additional information

Funding

This work was supported by the High Energy Photon Source (HEPS), a major national science and technology infrastructure in China, the National Natural Science Foundation of China (grant number U1910206), the National Key R&D Program of China (grant number 2017YFA0403000) and the Foundation of State Key Laboratory of Coal Conversion (grant numbers J21-22-604, J19-20-604).