科学者が数学を使って結晶構造を数ヶ月ではなく数時間で予測(Scientists Use Math to Predict Crystal Structure in Hours Instead of Months)

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2024-11-14 ニューヨーク大学 (NYU)

ニューヨーク大学の研究者は、分子結晶構造を迅速に予測する新手法「Crystal Math」を開発しました。この手法は、単純なトポロジーと物理的記述子を用いることで、従来の計算手法よりも効率的に結晶構造を予測します。これにより、新素材の設計や薬剤開発のプロセスが大幅に加速されることが期待されます。

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簡単なトポロジーと物理的記述子を用いて分子結晶構造を迅速に予測する Rapid prediction of molecular crystal structures using simple topological and physical descriptors

Nikolaos Galanakis & Mark E. Tuckerman
Nature Communication  Published:11 November 2024
DOI:https://doi.org/10.1038/s41467-024-53596-5

科学者が数学を使って結晶構造を数ヶ月ではなく数時間で予測(Scientists Use Math to Predict Crystal Structure in Hours Instead of Months)

Abstract

Organic molecular crystals constitute a class of materials of critical importance in numerous industries. Despite the ubiquity of these systems, our ability to predict molecular crystal structures starting only from a two-dimensional diagram of the constituent compound(s) remains a significant challenge. Most structure-prediction protocols require a customized interatomic interaction model on which the quality of the results can depend sensitively. To overcome this problem, we introduce a new topological approach to molecular crystal structure prediction. The approach posits that in a stable structure, molecules are oriented such that principal axes and normal ring plane vectors are aligned with specific crystallographic directions and that heavy atoms occupy positions that correspond to minima of a set of geometric order parameters. By minimizing an objective function that encodes these orientations and atomic positions, and filtering based on the vdW free volume and intermolecular close contact distributions derived from the Cambridge Structural Database, stable structures and polymorphs for a given crystal can be predicted entirely mathematically without reliance on an interaction model.

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