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Title: Unsupervised phase mapping of X-ray diffraction data by nonnegative matrix factorization integrated with custom clustering

Journal Article · · npj Computational Materials

Abstract Analyzing large X-ray diffraction (XRD) datasets is a key step in high-throughput mapping of the compositional phase diagrams of combinatorial materials libraries. Optimizing and automating this task can help accelerate the process of discovery of materials with novel and desirable properties. Here, we report a new method for pattern analysis and phase extraction of XRD datasets. The method expands the Nonnegative Matrix Factorization method, which has been used previously to analyze such datasets, by combining it with custom clustering and cross-correlation algorithms. This new method is capable of robust determination of the number of basis patterns present in the data which, in turn, enables straightforward identification of any possible peak-shifted patterns. Peak-shifting arises due to continuous change in the lattice constants as a function of composition and is ubiquitous in XRD datasets from composition spread libraries. Successful identification of the peak-shifted patterns allows proper quantification and classification of the basis XRD patterns, which is necessary in order to decipher the contribution of each unique single-phase structure to the multi-phase regions. The process can be utilized to determine accurately the compositional phase diagram of a system under study. The presented method is applied to one synthetic and one experimental dataset and demonstrates robust accuracy and identification abilities.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Univ. of Maryland, College Park, MD (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); LANL Laboratory Directed Research and Development (LDRD) Program; Office of Naval Research (ONR) (United States); National Science Foundation (NSF)
Grant/Contract Number:
AC52-06NA25396; N00014-13-1-0635; 5289230; N000141512222; DMR-1505103
OSTI ID:
1462297
Alternate ID(s):
OSTI ID: 1475339
Report Number(s):
LA-UR-18-20888; 43; PII: 99
Journal Information:
npj Computational Materials, Journal Name: npj Computational Materials Vol. 4 Journal Issue: 1; ISSN 2057-3960
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United Kingdom
Language:
English
Citation Metrics:
Cited by: 28 works
Citation information provided by
Web of Science

References (32)

Combinatorial solid-state chemistry of inorganic materials journal July 2004
Shifted Non-Negative Matrix Factorization conference August 2007
Combinatorial Synthesis and Evaluation of Functional Inorganic Materials Using Thin-Film Techniques journal April 2002
High-throughput determination of structural phase diagram and constituent phases using GRENDEL journal October 2015
Comparison of dissimilarity measures for cluster analysis of X-ray diffraction data from combinatorial libraries journal February 2017
Perspective: Composition–structure–property mapping in high-throughput experiments: Turning data into knowledge journal May 2016
Signatures of mutational processes in human cancer journal August 2013
A Block Coordinate Descent Method for Regularized Multiconvex Optimization with Applications to Nonnegative Tensor Factorization and Completion journal January 2013
Silhouettes: A graphical aid to the interpretation and validation of cluster analysis journal November 1987
Semi-Supervised Approach to Phase Identification from Combinatorial Sample Diffraction Patterns journal July 2016
Phase-Mapper: An AI Platform to Accelerate High Throughput Materials Discovery journal February 2017
Challenges in Materials Discovery – Synthetic Generator and Real Datasets journal June 2014
Positive matrix factorization: A non-negative factor model with optimal utilization of error estimates of data values journal June 1994
Rapid construction of a phase diagram of doped Mott insulators with a composition-spread approach journal November 2000
Rapid structural mapping of ternary metallic alloy systems using the combinatorial approach and cluster analysis journal July 2007
Nonnegative Matrix and Tensor Factorizations: Applications to Exploratory Multi-Way Data Analysis and Blind Source Separation book September 2009
Contaminant source identification using semi-supervised machine learning journal May 2018
The Cocktail Party Problem journal September 2005
On Information and Sufficiency journal March 1951
Graph Regularized Nonnegative Matrix Factorization for Data Representation journal August 2011
Deciphering Signatures of Mutational Processes Operative in Human Cancer journal January 2013
Inferring phase diagrams from X-ray data with background signals using graph segmentation journal October 2017
Monolithic multichannel ultraviolet detector arrays and continuous phase evolution in MgxZn1−xO composition spreads journal December 2003
A reliable methodology for high throughput identification of a mixture of crystallographic phases from powder X-ray diffraction data journal January 2008
Combinatorial discovery of a lead-free morphotropic phase boundary in a thin-film piezoelectric perovskite journal May 2008
Automated Phase Mapping with AgileFD and its Application to Light Absorber Discovery in the V–Mn–Nb Oxide System journal December 2016
Blind source separation for groundwater pressure analysis based on nonnegative matrix factorization journal September 2014
Rapid identification of structural phases in combinatorial thin-film libraries using x-ray diffraction and non-negative matrix factorization journal October 2009
Pattern Decomposition with Complex Combinatorial Constraints: Application to Materials Discovery journal February 2015
Learning the parts of objects by non-negative matrix factorization journal October 1999
Identification of release sources in advection–diffusion system by machine learning combined with Green’s function inverse method journal August 2018
Nonnegative Matrix Factorization for identification of unknown number of sources emitting delayed signals journal March 2018