Calibration and error analysis of an arc detector for wide-angle X-ray scattering (WAXS)

AbstractIn wide-angle X-ray scattering (WAXS) experiments, the use of a one-dimensional arc detector can effectively expand the angle range of collected diffraction or scattering signals. In practice, the relative positions between the centers of arc detector, sample and beam spot may overlap or misalign. Therefore, it is necessary to calibrate the instrument parameters and detection angle of the arc detector. The calibration is routinely performed by standard samples. In this contribution, the equations for angle calibration and error evaluation are constructed based on three standard diffraction peaks, and the corresponding simulation and experiment are performed to verify the feasibility of the calibration. The results indicate that the larger the coverage and the more uniform the dispersion of the three standard diffraction peaks distributed on the detector, the smaller the calibration error.Keywords: Wide-angle X-ray scattering (WAXS)one-dimensional arc detectorangle calibration AcknowledgementThe authors thank Zhonghua Wu, Zhongjun Chen, Zhan Shi, Xueqing Xing, Lei Yao and Hao Wang for their help with the WAXS experiments.Disclosure statementNo conflicts of interest are reported by the authors.Additional informationFundingThis work was supported by the National Key R & D Program of China [grant number 2017YFA0403000], the National Natural Science Foundation of China [grants number U1910206, 22278295, 22378291 and U1910201] and the Key R & D projects in Shanxi Province [grant number 202102090301002], and the National Key Laboratory of High Efficiency and Low Carbon Utilization of Coal [grants number J23-24-612].