Abstract

Within the domain of analyzing powder X-ray diffraction (XRD) scans, manual examination of the recorded data is still the most popular method, but it requires some expertise and is time consuming. The usual workflow for the phase-identification task involves software for searching databases of known compounds and matching lists of d spacings and related intensities to the measured data. Most automated approaches apply some iterative procedure for the search/match process but fail to be generally reliable yet without the manual validation step of an expert. Recent advances in the field of machine and deep learning have led to the development of algorithms for use with diffraction patterns and are producing promising results in some applications. A limitation, however, is that thousands of training samples are required for the model to achieve a reliable performance and not enough measured samples are available. Accordingly, a framework for the efficient generation of thousands of synthetic XRD scans is presented which considers typical effects in realistic measurements and thus simulates realistic patterns for the training of machine- or deep-learning models. The generated data set can be applied to any machine- or deep-learning structure as training data so that the models learn to analyze measured XRD data based on synthetic diffraction patterns. Consequently, we train a convolutional neural network with the simulated diffraction patterns for application with iron ores or cements compounds and prove robustness against varying unit-cell parameters, preferred orientation and crystallite size in synthetic, as well as measured, XRD scans.

Highlights

  • Occurring materials, such as ores, usually consist of multiple phases with distinct mass fractions

  • Since mixture scans can be decomposed into a weighted superposition of the diffraction patterns of the comprised phases, we base our framework on single-phase patterns that we subsequently combine into mixtures and add additional effects like background and noise afterwards

  • In our first subset that only consists of mixtures with three phases and mass fractions greater than 10%, we report F1 scores of nearly 100% for all three model variants applied to the iron ore case

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Summary

Introduction

Occurring materials, such as ores, usually consist of multiple phases with distinct mass fractions. The resulting compound pattern is a weighted superposition of all comprised phases, so the measured peaks (interference maxima) can be assigned to the phases with their respective share of the total mixture determined by the peak intensity. (Putz & Brandenburg, 2014), is applied, which mostly employs proprietary algorithms for the determination of candidate phases This algorithm requires a database, such as the ICDD PDF (Gates-Rector & Blanton, 2019) or the COD (Grazulis et al, 2012), which stores measured and theoretical patterns or the structural information of known phases. The software analyzes the diffraction pattern for peak positions and intensities and searches the database for phases with matching properties, resulting in a list of proposed candidates from which an expert picks the correct phases. Owing to the manual intervention, this process is quite time consuming (Oviedo et al, 2019), and the results of different users may vary for complex materials as different decisions are made based on varying expertise in evaluating and selecting phases from the proposed candidates

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