DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Data-driven discovery of a formation prediction rule on high-entropy ceramics

Journal Article · · Acta Materialia

The interest in high entropy ceramics (HECs) has increased steadily due to their superior properties. However, the prediction of their formation still poses challenges for the discovery of new systems. Here, we discover a rational rule for designing single-phase high entropy metal diborides (HEBs) using data-driven approach. The machine learning (ML) model is trained on data collected via high-throughput experiments (HTEs). K nearest neighbor (KNN) model shows an experimental validation accuracy of 93.75%. By implementing interpretable ML method, we demonstrate that a mismatch of the bonds between boron and transition metals (δB-TM) dominates the formation of HEBs. We propose an empirical rule that HEBs favor forming a single phase when δB-TM < 3.66; otherwise, multiphase. The rule has a high accuracy of 93.33% for new HEBs predictions. In addition, we contribute 165 high quality HEBs data in total, which can promote the development of materials informatics in HEBs. Furthermore, this data-driven strategy can be expanded to accelerate the search for new HECs, paving a pathway to design novel HECs with superior properties rapidly.

Research Organization:
National Energy Technology Laboratory (NETL), Pittsburgh, PA, Morgantown, WV, and Albany, OR (United States)
Sponsoring Organization:
USDOE Office of Fossil Energy (FE); National Science Foundation (NSF)
Grant/Contract Number:
2018306
OSTI ID:
1975791
Report Number(s):
DOE/NETL-2023/3863
Journal Information:
Acta Materialia, Vol. 253; ISSN 1359-6454
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (116)

High throughput synthesis enabled exploration of CoCrFeNi-based high entropy alloys journal May 2022
Synthesis of superfine high-entropy metal diboride powders journal July 2019
Room‐temperature mechanical properties of a high‐entropy diboride journal February 2022
Machine-learning and high-throughput studies for high-entropy materials journal January 2022
Preparation and characterization of AlCrTaTiZr multi-element nitride coatings journal December 2006
High‐pressure sintering of ultrafine‐grained high‐entropy diboride ceramics journal August 2020
Low‐temperature synthesis of high‐entropy (Hf 0.2 Ti 0.2 Mo 0.2 Ta 0.2 Nb 0.2 )B 2 powders combined with theoretical forecast of its elastic and thermal properties journal July 2022
Microstructural development in equiatomic multicomponent alloys journal July 2004
Synthesis of all equiatomic five-transition metals High Entropy Carbides of the IVB (Ti, Zr, Hf) and VB (V, Nb, Ta) groups by a low temperature route journal September 2020
Combinatorial metallurgical synthesis and processing of high-entropy alloys journal July 2018
Hard and electrically conductive multicomponent diboride-based films with high thermal stability journal January 2022
Local structure in high-entropy transition metal diborides journal October 2022
Classification of Bulk Metallic Glasses by Atomic Size Difference, Heat of Mixing and Period of Constituent Elements and Its Application to Characterization of the Main Alloying Element journal January 2005
Superhard high-entropy AlB2-type diboride ceramics journal July 2021
First principles calculations and synthesis of multi-phase (HfTiWZr)B2 high entropy diboride ceramics: Microstructural, mechanical and thermal characterization journal March 2023
Fabrication of textured (Hf0.2Zr0.2Ta0.2Cr0.2Ti0.2)B2 high-entropy ceramics journal January 2021
Processing and Properties of High-Entropy Ultra-High Temperature Carbides journal June 2018
Reactive flash spark plasma sintering of high-entropy ultrahigh temperature ceramics journal September 2019
Secondary phase area fraction determination using SEM-EDS quantitative mapping journal September 2020
Thermal conductivity and hardness of three single-phase high-entropy metal diborides fabricated by borocarbothermal reduction and spark plasma sintering journal April 2020
The oxidation-resistance mechanism of WTaNbTiAl refractory high entropy alloy journal August 2022
Material design for TiZrHfNbTaBx: A boundary material of refractory high-entropy alloys and ceramics journal August 2022
Effect of Nb content on the phase composition, densification, microstructure, and mechanical properties of high-entropy boride ceramics journal January 2021
Discovery of high-entropy ceramics via machine learning journal May 2020
Oscillatory pressure sintering of high entropy (Zr0.2Ta0.2Nb0.2Hf0.2Mo0.2)B2 ceramic journal March 2021
High-throughput synthesis of Mo-Nb-Ta-W high-entropy alloys via additive manufacturing journal February 2020
Understanding Probabilistic Classifiers book January 2001
High throughput experiment assisted discovery of new Ni-base superalloys journal March 2020
High-entropy transition metal diborides by reactive and non-reactive spark plasma sintering: A comparative investigation journal April 2020
Machine-learning phase prediction of high-entropy alloys journal May 2019
Bulk high-entropy nitrides and carbonitrides journal December 2020
Machine learning for phase selection in multi-principal element alloys journal July 2018
Development and exploration of refractory high entropy alloys—A review journal June 2018
Predicting good probabilities with supervised learning conference January 2005
Novel processing route for the fabrication of bulk high-entropy metal diborides journal January 2019
The quasi ternary system TiB2-CrB2-WB2 between 1500 and 1900°C and the related quasi binary subsystems journal October 2019
Compositional disorder and sintering of entropy stabilized (Hf,Nb,Ta,Ti,Zr)B2 solid solution powders journal September 2020
High-entropy ceramic thin films; A case study on transition metal diborides journal May 2018
Microstructures and oxidation mechanisms of (Zr0.2Hf0.2Ta0.2Nb0.2Ti0.2)B2 high-entropy ceramic journal May 2022
Imaging with backscattered electrons in a scanning electron microscope: Imaging with Backscattered Electrons journal January 1980
Nanostructured High-Entropy Alloys with Multiple Principal Elements: Novel Alloy Design Concepts and Outcomes journal May 2004
Materials informatics for the screening of multi-principal elements and high-entropy alloys journal June 2019
A titanium alloys design method based on high-throughput experiments and machine learning journal March 2021
First-principles prediction, fabrication and characterization of (Hf0.2Nb0.2Ta0.2Ti0.2Zr0.2)B2 high-entropy borides journal June 2022
Ultra high temperature high-entropy borides: Effect of graphite addition on oxides removal and densification behaviour journal March 2021
Multicomponent (Hf0.25Zr0.25Ti0.25Cr0.25)B2 ceramic modified SiC–Si composite coatings: In-situ synthesis and high-temperature oxidation behavior journal May 2022
Chemical bonding in AlB2-type borides journal June 1976
Accelerated discovery of single-phase refractory high entropy alloys assisted by machine learning journal November 2021
Forensic examination of rocks, sediments, soils and dusts using scanning electron microscopy and X-ray chemical microanalysis journal January 2004
A high-throughput approach to explore the multi-component alloy space: A case study of nickel-based superalloys journal March 2021
Review of transition-metal diboride thin films journal February 2022
Porous high entropy (Zr0.2Hf0.2Ti0.2Nb0.2Ta0.2)B2: A novel strategy towards making ultrahigh temperature ceramics thermal insulating journal October 2019
Novel (Hf0.2Zr0.2Ta0.2V0.2Nb0.2)B2 high entropy diborides with superb hardness sintered by SPS under a mild condition journal October 2022
High-Entropy Metal Diborides: A New Class of High-Entropy Materials and a New Type of Ultrahigh Temperature Ceramics journal November 2016
Low-temperature densification of high entropy diboride based composites with fine grains and excellent mechanical properties journal December 2022
High-entropy ceramics journal February 2020
Microstructure and mechanical properties of high-entropy borides derived from boro/carbothermal reduction journal October 2019
(Hf 0.2 Zr 0.2 Ta 0.2 Nb 0.2 Ti 0.2 )C high‐entropy ceramics with low thermal conductivity journal May 2018
Transition metal diborides journal January 1954
Processing of dense high-entropy boride ceramics journal September 2020
Dissolving and stabilizing soft WB2 and MoB2 phases into high-entropy borides via boron-metals reactive sintering to attain higher hardness journal September 2020
Compositional pathways and anisotropic thermal expansion of high-entropy transition metal diborides journal October 2021
A general method to synthesize and sinter bulk ceramics in seconds journal April 2020
Enthalpy driving force and chemical bond weakening: The solid-solution formation mechanism and densification behavior of high-entropy diborides (Hf1−x/4Zr1−x/4Nb1−x/4Ta1−x/4Scx)B2 journal August 2022
Phase prediction of Ni-base superalloys via high-throughput experiments and machine learning journal September 2020
Properties of high entropy borides synthesized via microwave-induced plasma journal June 2022
Synthesis of high‐entropy diboride nanopowders via molten salt‐mediated magnesiothermic reduction journal May 2020
Refractory high-entropy alloys journal September 2010
Thermal stability and mechanical properties of sputtered (Hf,Ta,V,W,Zr)-diborides journal November 2020
Electronic and Structural Origin of Ultraincompressibility of 5 d Transition-Metal Diborides M B 2 ( M = W , Re, Os) journal May 2008
A high entropy silicide by reactive spark plasma sintering journal March 2019
Design of newly effective grain refiner for aluminum based on medium-entropy metal diboride journal November 2022
Entropy stabilized single-phase (Hf,Nb,Ta,Ti,Zr)B2 solid solution powders obtained via carbo/boro-thermal reduction journal May 2020
Fabrication and Characterization of Quinary High Entropy-Ultra-High Temperature Diborides journal March 2021
Microstructures and properties of high-entropy alloys journal April 2014
High-entropy high-hardness metal carbides discovered by entropy descriptors journal November 2018
The phase selection via machine learning in high entropy alloys journal January 2019
Study on strengthening effects of Zr-Ti-Nb-O alloys via high throughput powder metallurgy and data-driven machine learning journal August 2021
Molten salt synthesis, characterization, and formation mechanism of superfine (Hf x Zr 1‐ x )B 2 solid‐solution powders journal December 2018
High-entropy alloys journal June 2019
Ultra-incompressible High-Entropy Diborides journal March 2021
Solid solution ranges of zirconium diboride with other refractory diborides: HfB2, TiB2, TaB2, NbB2, VB2 and CrB2 journal May 2009
Improved densification and hardness of high-entropy diboride ceramics from fine powders synthesized via borothermal reduction process journal June 2020
Machine learning based approach for phase prediction in high entropy borides journal June 2022
Processing Conditions Optimization for the Synthesis and Consolidation of High-Entropy Diborides journal November 2021
Refractory Diborides of Zirconium and Hafnium journal May 2007
Phase diagram and mechanical properties of fifteen quaternary high-entropy metal diborides: First-principles calculations and thermodynamics journal February 2022
Field-Assisted Sintering Technology/Spark Plasma Sintering: Mechanisms, Materials, and Technology Developments: FAST/SPS: Mechanisms, Materials, and Technology Developments journal April 2014
Phase selection motifs in High Entropy Alloys revealed through combinatorial methods: Large atomic size difference favors BCC over FCC journal March 2019
A review on fundamental of high entropy alloys with promising high–temperature properties journal September 2018
Accelerated development of hard high-entropy alloys with data-driven high-throughput experiments journal January 2022
Thermal expansion studies on the group IV–VII transition metal diborides journal July 1988
Entropy-stabilized oxides journal September 2015
Accelerated discovery of metallic glasses through iteration of machine learning and high-throughput experiments journal April 2018
Optical properties of bulk high-entropy diborides for solar energy applications journal February 2023
Mechanical behavior of high-entropy alloys journal May 2021
Mechanochemical-Assisted Synthesis of High-Entropy Metal Nitride via a Soft Urea Strategy journal April 2018
Processing techniques for functionally graded materials journal December 2003
ZrB2-HfB2 solid solutions as electrode materials for hydrogen reaction in acidic and basic solutions journal February 2017
Machine-learning informed prediction of high-entropy solid solution formation: Beyond the Hume-Rothery rules journal May 2020
Solid solution book January 1999
Phase stability and mechanical properties of tungsten borides from first principles calculations journal January 2010
Chrysanthemum-like high-entropy diboride nanoflowers: A new class of high-entropy nanomaterials journal June 2020
Commentary: The Materials Project: A materials genome approach to accelerating materials innovation journal July 2013
Searching for high entropy alloys: A machine learning approach journal October 2020
Quantitative inspection of grain‐scale chemical inhomogeneities in high‐entropy AlB 2 ‐type transition metal diborides journal June 2022
Preparation and characterization of diboride-based high entropy (Ti0.2Zr0.2Hf0.2Nb0.2Ta0.2)B2–SiC particulate composites journal December 2019
High-throughput synthesis and corrosion behavior of sputter-deposited nanocrystalline Al (CoCrFeNi)100- combinatorial high-entropy alloys journal October 2020
AFLOW: An automatic framework for high-throughput materials discovery journal June 2012
Dense and pure high-entropy metal diboride ceramics sintered from self-synthesized powders via boro/carbothermal reduction approach journal July 2019
A high-entropy silicide: (Mo0.2Nb0.2Ta0.2Ti0.2W0.2)Si2 journal September 2019
A general-purpose machine learning framework for predicting properties of inorganic materials journal August 2016
High-entropy alloy catalysts: high-throughput and machine learning-driven design journal January 2022
Mechanical properties of hot-pressed high-entropy diboride-based ceramics journal May 2020
Dense high-entropy boride ceramics with ultra-high hardness journal April 2019
Evaluation of Ti–Mn Alloys for Additive Manufacturing Using High-Throughput Experimental Assays and Gaussian Process Regression journal October 2020

Figures / Tables (14)