Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Review of computational approaches to predict the thermodynamic stability of inorganic solids

Journal Article · · Journal of Materials Science
 [1]
  1. Univ. of California, Berkeley, CA (United States); Stony Brook University

Improvements in the efficiency and availability of quantum chemistry codes, supercomputing centers, and open materials databases have transformed the accessibility of computational materials design approaches. Thermodynamic stability predictions play a central role in the efficacy of these approaches and should be considered carefully. This review covers the fundamentals of calculating thermodynamic stability using first-principles methods. Stability is delineated into two main topics — stability with respect to decomposition into competing phases and stability with respect to phase transition into alternative structures at fixed composition. For each topic, a summary of the state-of-the-art is provided along with a tutorial overview of practical considerations. The application of machine learning to both kinds of stability predictions is also covered. Finally, the limitations of thermodynamic stability predictions are discussed within the context of predicting the synthesizability of materials.

Research Organization:
Univ. of California, Berkeley, CA (United States); Energy Frontier Research Centers (EFRC) (United States). A Next Generation Synthesis Center (GENESIS)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0019212
OSTI ID:
1865532
Journal Information:
Journal of Materials Science, Journal Name: Journal of Materials Science; ISSN 0022-2461
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English

References (166)

Machine Learning Interatomic Potentials as Emerging Tools for Materials Science journal September 2019
Observing and Modeling the Sequential Pairwise Reactions that Drive Solid‐State Ceramic Synthesis journal May 2021
Ab Initio Thermochemistry of Solid-State Materials journal June 2010
An Unusual Phase Transition Driven by Vibrational Entropy Changes in a Hybrid Organic-Inorganic Perovskite journal June 2018
The Limited Predictive Power of the Pauling Rules journal March 2020
High‐throughput computational design of halide perovskites and beyond for optoelectronics journal August 2020
Electrochemical Equilibria book January 1973
A chemical scale for crystal-structure maps journal July 1984
The alloy theoretic automated toolkit: A user guide journal December 2002
The compound energy formalism journal May 2001
Computational thermodynamics and its applications journal November 2020
Thermodynamics of high entropy oxides journal January 2021
Metric-driven search for structurally stable inorganic compounds journal January 2021
FactSage thermochemical software and databases, 2010–2016 journal September 2016
A high-throughput infrastructure for density functional theory calculations journal June 2011
AFLOW: An automatic framework for high-throughput materials discovery journal June 2012
AiiDA: automated interactive infrastructure and database for computational science journal January 2016
A computational framework for automation of point defect calculations journal April 2017
USPEX—Evolutionary crystal structure prediction journal December 2006
Computational Screening of Cathode Coatings for Solid-State Batteries journal May 2019
Inverse Design of Solid-State Materials via a Continuous Representation journal November 2019
Accelerating materials discovery with Bayesian optimization and graph deep learning journal December 2021
Vibrational thermodynamics of materials journal May 2010
First principles phonon calculations in materials science journal November 2015
Progress toward Solid State Synthesis by Design journal October 2018
Machine Learning for Materials Scientists: An Introductory Guide toward Best Practices journal May 2020
Phase Behavior in Rhombohedral NaSiCON Electrolytes and Electrodes journal August 2020
Nanoparticle Size Effects on Phase Stability for Molybdenum and Tungsten Carbides journal June 2021
Bulk Synthesis, Structure, and Electronic Properties of Magnesium Zirconium Nitride Solid Solutions journal June 2021
Predictive Synthesis journal July 2021
Interface Stability in Solid-State Batteries journal December 2015
Predicting the Thermodynamic Stability of Solids Combining Density Functional Theory and Machine Learning journal May 2017
Thermodynamic Routes to Novel Metastable Nitrogen-Rich Nitrides journal August 2017
Particle Morphology and Lithium Segregation to Surfaces of the Li 7 La 3 Zr 2 O 12 Solid Electrolyte journal April 2018
Graph Networks as a Universal Machine Learning Framework for Molecules and Crystals journal April 2019
Defect-Accommodating Intermediates Yield Selective Low-Temperature Synthesis of YMnO 3 Polymorphs journal August 2020
Synthesis and Characterization of MgCr 2 S 4 Thiospinel as a Potential Magnesium Cathode journal June 2018
Teaching the Concept of Gibbs Energy Minimization through Its Application to Phase-Equilibrium Calculation journal July 2016
Investigation of a Quantum Monte Carlo Protocol To Achieve High Accuracy and High-Throughput Materials Formation Energies journal April 2017
Modeling the Phase-Change Memory Material, Ge 2 Sb 2 Te 5 , with a Machine-Learned Interatomic Potential journal September 2018
Combining Machine Learning Potential and Structure Prediction for Accelerated Materials Design and Discovery journal September 2020
Computational Approach for Epitaxial Polymorph Stabilization through Substrate Selection journal May 2016
High-Throughput Equilibrium Analysis of Active Materials for Solar Thermochemical Ammonia Synthesis journal March 2019
Energy, Phonon, and Dynamic Stability Criteria of Two-Dimensional Materials journal April 2019
Generative Adversarial Networks for Crystal Structure Prediction journal July 2020
Li−Fe−P−O 2 Phase Diagram from First Principles Calculations journal February 2008
The Principles Determining the Structure of Complex Ionic Crystals journal April 1929
Structure-Based Synthesizability Prediction of Crystals Using Partially Supervised Learning journal October 2020
Machine Learning Guided Synthesis of Multinary Chevrel Phase Chalcogenides journal June 2021
In Situ Mechanistic Studies of Two Divergent Synthesis Routes Forming the Heteroanionic BiOCuSe journal July 2021
Rational Solid-State Synthesis Routes for Inorganic Materials journal June 2021
Selectivity in Yttrium Manganese Oxide Synthesis via Local Chemical Potentials in Hyperdimensional Phase Space journal September 2021
Cu–In Halide Perovskite Solar Absorbers journal May 2017
Crystals from first principles journal September 1988
Beware of plausible predictions of fantasy materials journal February 2019
Computational predictions of energy materials using density functional theory journal January 2016
Computationally guided discovery of thermoelectric materials journal August 2017
Machine-learning-assisted materials discovery using failed experiments journal May 2016
Towards the computational design of solid catalysts journal April 2009
Entropy-stabilized oxides journal September 2015
Crystal structure prediction from first principles journal December 2008
Instilling defect tolerance in new compounds journal September 2017
The Open Quantum Materials Database (OQMD): assessing the accuracy of DFT formation energies journal December 2015
Computational understanding of Li-ion batteries journal March 2016
A general-purpose machine learning framework for predicting properties of inorganic materials journal August 2016
Understanding crystallization pathways leading to manganese oxide polymorph formation journal June 2018
Deep neural networks for accurate predictions of crystal stability journal September 2018
Physical descriptor for the Gibbs energy of inorganic crystalline solids and temperature-dependent materials chemistry journal October 2018
Non-equilibrium crystallization pathways of manganese oxides in aqueous solution journal February 2019
Predicting materials properties without crystal structure: deep representation learning from stoichiometry journal December 2020
A graph-based network for predicting chemical reaction pathways in solid-state materials synthesis journal May 2021
Efficient first-principles prediction of solid stability: Towards chemical accuracy journal March 2018
Entropy contributions to phase stability in binary random solid solutions journal August 2018
The role of decomposition reactions in assessing first-principles predictions of solid stability journal January 2019
Recent advances and applications of machine learning in solid-state materials science journal August 2019
A critical examination of compound stability predictions from machine-learned formation energies journal July 2020
Benchmarking materials property prediction methods: the Matbench test set and Automatminer reference algorithm journal September 2020
The joint automated repository for various integrated simulations (JARVIS) for data-driven materials design journal November 2020
Compositionally restricted attention-based network for materials property predictions journal May 2021
The interplay between thermodynamics and kinetics in the solid-state synthesis of layered oxides journal May 2020
Computational materials design journal May 2021
Inverse design in search of materials with target functionalities journal March 2018
Accelerating the discovery of materials for clean energy in the era of smart automation journal April 2018
Structure prediction drives materials discovery journal April 2019
Understanding interface stability in solid-state batteries journal December 2019
Machine learning for molecular and materials science journal July 2018
A complete catalogue of high-quality topological materials journal February 2019
Origins of structural and electronic transitions in disordered silicon journal January 2021
Text-mined dataset of inorganic materials synthesis recipes journal October 2019
Materials Cloud, a platform for open computational science journal September 2020
OPTIMADE, an API for exchanging materials data journal August 2021
ElemNet: Deep Learning the Chemistry of Materials From Only Elemental Composition journal December 2018
A framework for quantifying uncertainty in DFT energy corrections journal July 2021
Promises and perils of computational materials databases journal January 2021
High-throughput density-functional perturbation theory phonons for inorganic materials journal May 2018
Design of Li 1+2x Zn 1−x PS 4 , a new lithium ion conductor journal January 2016
Accelerating CALYPSO structure prediction by data-driven learning of a potential energy surface journal January 2018
Crystal structure prediction: reflections on present status and challenges journal January 2018
Relative stability of FeS 2 polymorphs with the random phase approximation approach journal January 2018
Selective metathesis synthesis of MgCr 2 S 4 by control of thermodynamic driving forces journal January 2020
Local structure order parameters and site fingerprints for quantification of coordination environment and crystal structure similarity journal January 2020
Polymorph exploration of bismuth stannate using first-principles phonon mode mapping journal January 2020
Visualizing defect energetics journal January 2021
Crystal structure and chemical constitution journal January 1929
Jacob’s ladder of density functional approximations for the exchange-correlation energy conference January 2001
Commentary: The Materials Project: A materials genome approach to accelerating materials innovation journal July 2013
Perspective: Crystal structure prediction at high pressures journal January 2014
Perspective: Fifty years of density-functional theory in chemical physics journal May 2014
Influence of the exchange-correlation functional on the quasi-harmonic lattice dynamics of II-VI semiconductors journal August 2015
Perspective: Machine learning potentials for atomistic simulations journal November 2016
SchNet – A deep learning architecture for molecules and materials journal June 2018
In situ studies of a platform for metastable inorganic crystal growth and materials discovery journal July 2014
Combined computational and experimental investigation of the La 2 CuO 4– x S x (0 ≤ x ≤ 4) quaternary system journal July 2018
The Inorganic Crystal Structure Database (ICSD)—Present and Future journal January 2004
The structures of binary compounds. I. Phenomenological structure maps journal January 1986
Ab initio random structure searching journal January 2011
The 2019 materials by design roadmap journal October 2018
Phase stability of TiO 2 polymorphs from diffusion Quantum Monte Carlo journal November 2016
Learning physical descriptors for materials science by compressed sensing journal February 2017
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
Materials discovery through machine learning formation energy journal March 2021
Strategies for the construction of machine-learning potentials for accurate and efficient atomic-scale simulations journal July 2021
Training machine-learning potentials for crystal structure prediction using disordered structures journal December 2020
Ab initio calculation of phonon dispersions in semiconductors journal March 1991
Dynamical matrices, Born effective charges, dielectric permittivity tensors, and interatomic force constants from density-functional perturbation theory journal April 1997
Cu-Au, Ag-Au, Cu-Ag, and Ni-Au intermetallics: First-principles study of temperature-composition phase diagrams and structures journal March 1998
First-principles calculations of defects in oxygen-deficient silica exposed to hydrogen journal September 2000
Composition, structure, and stability of RuO 2 ( 110 ) as a function of oxygen pressure journal December 2001
First-principles calculations of lithium ordering and phase stability on Li x NiO 2 journal August 2002
Oxidation energies of transition metal oxides within the GGA + U framework journal May 2006
Semiconductor thermochemistry in density functional calculations journal December 2008
Ab initio up to the melting point: Anharmonicity and vacancies in aluminum journal April 2009
Formation enthalpies by mixing GGA and GGA + U calculations journal July 2011
Lattice dynamics of anharmonic solids from first principles journal November 2011
Temperature-driven phase transitions from first principles including all relevant excitations: The fcc-to-bcc transition in Ca journal December 2011
Correcting density functional theory for accurate predictions of compound enthalpies of formation: Fitted elemental-phase reference energies journal March 2012
Accuracy of density functional theory in predicting formation energies of ternary oxides from binary oxides and its implication on phase stability journal April 2012
Prediction of solid-aqueous equilibria: Scheme to combine first-principles calculations of solids with experimental aqueous states journal June 2012
Evolution of crystal structures in metallic elements journal May 2013
Combinatorial screening for new materials in unconstrained composition space with machine learning journal March 2014
Accelerating crystal structure prediction by machine-learning interatomic potentials with active learning journal February 2019
Big Data of Materials Science: Critical Role of the Descriptor journal March 2015
Strongly Constrained and Appropriately Normed Semilocal Density Functional journal July 2015
Machine Learning Energies of 2 Million Elpasolite ( A B C 2 D 6 ) Crystals journal September 2016
Crystal Graph Convolutional Neural Networks for an Accurate and Interpretable Prediction of Material Properties journal April 2018
Data-Driven Learning of Total and Local Energies in Elemental Boron journal April 2018
Generalized Gradient Approximation Made Simple journal October 1996
First-Principles Determination of the Soft Mode in Cubic ZrO 2 journal May 1997
Predicting kinetics of polymorphic transformations from structure mapping and coordination analysis journal March 2018
Predictions of new AB O 3 perovskite compounds by combining machine learning and density functional theory journal April 2018
Performance of the strongly constrained and appropriately normed density functional for solid-state materials journal June 2018
SISSO: A compressed-sensing method for identifying the best low-dimensional descriptor in an immensity of offered candidates journal August 2018
Developing an improved crystal graph convolutional neural network framework for accelerated materials discovery journal June 2020
Exploring the High-Pressure Materials Genome journal November 2018
The effect of lattice vibrations on substitutional alloy thermodynamics journal January 2002
The thermodynamic scale of inorganic crystalline metastability journal November 2016
Thermodynamic limit for synthesis of metastable inorganic materials journal April 2018
New tolerance factor to predict the stability of perovskite oxides and halides journal February 2019
High-throughput search for magnetic and topological order in transition metal oxides journal December 2020
Ab initio Force Constant Approach to Phonon Dispersion Relations of Diamond and Graphite journal December 1995
Generalized chemical potential diagram and its applications to chemical reactions at interfaces between dissimilar materials journal May 1999
Symbolic regression in materials science journal June 2019
NOMAD: The FAIR concept for big data-driven materials science journal September 2018
First-Principles Atomistic Thermodynamics and Configurational Entropy journal December 2020
High-throughput Density-Functional Perturbation Theory phonons for inorganic materials [Supplemental Data] collection April 2018

Similar Records

Machine learned synthesizability predictions aided by density functional theory
Journal Article · Wed Oct 12 00:00:00 EDT 2022 · Communications Materials · OSTI ID:1891929

Predicting the thermodynamic stability of double-perovskite halides from density functional theory
Journal Article · Thu May 24 00:00:00 EDT 2018 · APL Materials · OSTI ID:1440832

Machine learning-based discovery of vibrationally stable materials
Journal Article · Tue Jan 10 23:00:00 EST 2023 · npj Computational Materials · OSTI ID:2422994

Related Subjects