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Determining Multi‐Component Phase Diagrams with Desired Characteristics Using Active Learning
Determining Multi‐Component Phase Diagrams with Desired Characteristics Using Active Learning
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Determining Multi‐Component Phase Diagrams with Desired Characteristics Using Active Learning
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Determining Multi‐Component Phase Diagrams with Desired Characteristics Using Active Learning
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Determining Multi‐Component Phase Diagrams with Desired Characteristics Using Active Learning
Determining Multi‐Component Phase Diagrams with Desired Characteristics Using Active Learning
Journal Article

Determining Multi‐Component Phase Diagrams with Desired Characteristics Using Active Learning

2021
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Overview
Herein, we demonstrate how to predict and experimentally validate phase diagrams for multi‐component systems from a high‐dimensional virtual space of all possible phase diagrams involving several elements based on small existing experimental data. The experimental data for bulk phases for known systems represents a sampling from this space, and screening the space allows multi‐component phase diagrams with given design criteria to be built. This approach uses machine learning methods to predict phase diagrams and Bayesian experimental design to minimize experiments for refinement and validation, all within an active learning loop. The approach is proven by predicting and synthesizing the ferroelectric ceramic system (1‐ω)(Ba0.61Ca0.28Sr0.11TiO3)‐ω(BaTi0.888Zr0.0616Sn0.0028Hf0.0476O3) with a relatively high transition temperature and triple point, as well as the NiTi‐based pseudo‐binary phase diagram (1‐ω)(Ti0.309Ni0.485Hf0.20Zr0.006)‐ω(Ti0.309Ni0.485Hf0.07Zr0.068Nb0.068) designed for high transition temperature (ω ⩽ 1). Each phase diagram is validated and optimized through only three new experiments. The complexity of these compounds is beyond the reach of today's computational methods. A machine learning‐based approach is proposed to predict all possible phase diagrams of a given multi‐component system from a high‐dimensional virtual space. By quickly screening the space, a specific phase diagram with given design criteria can be constructed. Bayesian experimental design is then employed to refine the phase diagram with as few experiments as possible.