Discovering Superhard B-N-O Compounds by Iterative Machine Learning and Evolutionary Structure Predictions

preprint2021arXivOpen access

Abstract

We search for new superhard B-N-O compounds with an iterative machine learning (ML) procedure, where ML models are trained using sample crystal structures from evolutionary algorithm. We first use cohesive energy to evaluate the thermodynamic stability of varying Bx_xNy_yOz_z compositions, and then gradually focus on compositional regions with high cohesive energy and high hardness. The results converge quickly after a few iterations. Our resulting ML models show that Bx+2_{x+2}Nx_{x}O3_{3} compounds with x≥3x \geq 3 (like B5_5N3_3O3_3, B6_6N4_4O3_3, etc.) are potentially superhard and thermodynamically favorable. Our meta-GGA density functional theory calculations indicate that these materials are also wide bandgap (≥4.4\ge 4.4 eV) insulators, with the valence band maximum related to the pp-orbitals of nitrogen atoms near vacant sites. This study demonstrates that an iterative method combining ML and ab initio simulations provides a powerful tool for discovering novel materials.

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