skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: New tolerance factor to predict the stability of perovskite oxides and halides

Journal Article · · Science Advances

Predicting the stability of the perovskite structure remains a long-standing challenge for the discovery of new functional materials for many applications including photovoltaics and electrocatalysts. We developed an accurate, physically interpretable, and one-dimensional tolerance factor, τ, that correctly predicts 92% of compounds as perovskite or nonperovskite for an experimental dataset of 576 ABX3 materials (X = O2–, F, Cl, Br, I) using a novel data analytics approach based on SISSO (sure independence screening and sparsifying operator). τ is shown to generalize outside the training set for 1034 experimentally realized single and double perovskites (91% accuracy) and is applied to identify 23,314 new double perovskites (A2BB'X6) ranked by their probability of being stable as perovskite. Furthermore, this work guides experimentalists and theorists toward which perovskites are most likely to be successfully synthesized and demonstrates an approach to descriptor identification that can be extended to arbitrary applications beyond perovskite stability predictions.

Research Organization:
National Renewable Energy Laboratory (NREL), Golden, CO (United States)
Sponsoring Organization:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Sustainable Transportation Office. Hydrogen Fuel Cell Technologies Office
Grant/Contract Number:
AC36-08GO28308
OSTI ID:
1496850
Report Number(s):
NREL/JA-5K00-73346
Journal Information:
Science Advances, Vol. 5, Issue 2; ISSN 2375-2548
Publisher:
AAASCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 563 works
Citation information provided by
Web of Science

References (49)

Prediction of the crystal structures of perovskites using the software program SPuDS journal November 2001
Generalized Gradient Approximation Made Simple journal October 1996
Minima hopping: An efficient search method for the global minimum of the potential energy surface of complex molecular systems journal June 2004
Predictions of new AB O 3 perovskite compounds by combining machine learning and density functional theory journal April 2018
Can we predict the formability of perovskite oxynitrides from tolerance and octahedral factors? journal January 2013
Crystal structure prediction from first principles journal December 2008
On the application of the tolerance factor to inorganic and hybrid halide perovskites: a revised system journal January 2016
Structural stability and formability of AB O 3 -type perovskite compounds journal November 2007
The Open Quantum Materials Database (OQMD): assessing the accuracy of DFT formation energies journal December 2015
The Principles Determining the Structure of Complex Ionic Crystals journal April 1929
Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides journal September 1976
Properties and potential optoelectronic applications of lead halide perovskite nanocrystals journal November 2017
Perovskites in catalysis and electrocatalysis journal November 2017
Formation of hybrid ABX 3 perovskite compounds for solar cell application: first-principles calculations of effective ionic radii and determination of tolerance factors journal January 2017
Readily processed protonic ceramic fuel cells with high performance at low temperatures journal July 2015
Die Gesetze der Krystallochemie journal May 1926
Solid-state principles applied to organic–inorganic perovskites: new tricks for an old dog journal January 2014
Classification of AB O 3 perovskite solids: a machine learning study journal September 2015
Finding New Perovskite Halides via Machine Learning journal April 2016
Experimental and Computational Investigation of Effect of Sr on NO Oxidation and Oxygen Exchange for La 1– x Sr x CoO 3 Perovskite Catalysts journal October 2013
Promises and challenges of perovskite solar cells journal November 2017
SISSO: A compressed-sensing method for identifying the best low-dimensional descriptor in an immensity of offered candidates journal August 2018
The geometric blueprint of perovskites journal May 2018
Formability of ABO3 perovskites journal June 2004
The high-throughput highway to computational materials design journal February 2013
Big Data of Materials Science: Critical Role of the Descriptor journal March 2015
Origin of ferroelectricity in perovskite oxides journal July 1992
Cu–In Halide Perovskite Solar Absorbers journal May 2017
Crystal structure of double oxides of the perovskite type journal March 1946
Cs 2 AgBiX 6 (X = Br, Cl): New Visible Light Absorbing, Lead-Free Halide Perovskite Semiconductors journal February 2016
Machine Learning Energies of 2 Million Elpasolite ( A B C 2 D 6 ) Crystals journal September 2016
Lead-Free Perovskite Solar Cells journal March 2017
How Evolutionary Crystal Structure Prediction Works—and Why journal March 2011
The Inorganic Crystal Structure Database (ICSD)—Present and Future journal January 2004
Formability of ABX 3 ( X = F, Cl, Br, I) halide perovskites journal November 2008
Thermodynamics of Global Optimization journal February 1998
Thermodynamic Stability Trend of Cubic Perovskites journal October 2017
Crystal Structure and Microwave Dielectric Properties of Alkaline-Earth Hafnates, AHfO 3 (A=Ba, Sr, Ca) journal March 2008
Investigating the Intercalation Chemistry of Alkali Ions in Fluoride Perovskites journal February 2017
Optimization by Simulated Annealing journal May 1983
Chemically diverse and multifunctional hybrid organic–inorganic perovskites journal February 2017
Predicting the Thermodynamic Stability of Solids Combining Density Functional Theory and Machine Learning journal May 2017
Crystal Graph Convolutional Neural Networks for an Accurate and Interpretable Prediction of Material Properties journal April 2018
Crystal structure of double oxides of the perovskite type journal May 1946
On the application of the tolerance factor to inorganic and hybrid halide perovskites: a revised system. journalarticle January 2016
The Open Quantum Materials Database (OQMD): assessing the accuracy of DFT formation energies text January 2015
Big Data of Materials Science - Critical Role of the Descriptor text January 2014
Crystal Graph Convolutional Neural Networks for an Accurate and Interpretable Prediction of Material Properties text January 2017
The Geometric Blueprint of Perovskites text January 2018

Cited By (25)

Understanding the Instability of the Halide Perovskite CsPbI 3 through Temperature‐Dependent Structural Analysis journal July 2020
Data‐Driven Materials Science: Status, Challenges, and Perspectives journal September 2019
Synthesis of Lanthanum Tungsten Oxynitride Perovskite Thin Films journal May 2019
A Critical Review of Machine Learning of Energy Materials journal January 2020
Recent Developments in Lead‐Free Double Perovskites: Structure, Doping, and Applications journal December 2019
Optoelectronic Properties and the Stability of Mixed MA 1 −  x IA x PbI 3 Perovskites journal April 2020
CaXH 3 (X = Mn, Fe, Co) perovskite‐type hydrides for hydrogen storage applications journal December 2019
Rapid Discovery of Ferroelectric Photovoltaic Perovskites and Material Descriptors via Machine Learning journal May 2019
Lead‐Free Double Perovskites for Perovskite Solar Cells journal August 2019
Crowd-sourcing materials-science challenges with the NOMAD 2018 Kaggle competition journal November 2019
Rare-earth-containing perovskite nanomaterials: design, synthesis, properties and applications journal January 2020
Zn doped MAPbBr 3 single crystal with advanced structural and optical stability achieved by strain compensation journal January 2020
Magnetic transitions in exotic perovskites stabilized by chemical and physical pressure journal January 2020
Photophysics of lead-free tin halide perovskite films and solar cells journal August 2019
Simultaneous learning of several materials properties from incomplete databases with multi-task SISSO journal March 2019
From DFT to machine learning: recent approaches to materials science–a review journal May 2019
The NOMAD laboratory: from data sharing to artificial intelligence journal May 2019
Prediction of new iodine-containing apatites using machine learning and density functional theory journal August 2019
Computational Screening of New Perovskite Materials Using Transfer Learning and Deep Learning journal December 2019
Data‐Driven Materials Science: Status, Challenges, and Perspectives journal November 2019
Data-driven materials science: status, challenges and perspectives text January 2019
Understanding the Instability of the Halide Perovskite CsPbI$_3$ through Temperature-Dependent Structural Analysis text January 2020
Database, Features, and Machine Learning Model to Identify Thermally Driven Metal-Insulator Transition Compounds text January 2020
Extending Shannon's Ionic Radii Database Using Machine Learning text January 2021
Free-spin dominated magnetocaloric effect in dense Gd$^{3+}$ double perovskites preprint January 2022

Figures / Tables (4)