arXiv:2607.24818cs.IRcond-mat.mtrl-sci2026-07

通过显式建模配位多面体提升晶体性质预测精度

Dual-Level Atomic and Coordination Geometry Learning for Crystal Property Prediction Using Graph Neural Networks

论文配图:Dual-Level Atomic and Coordination Geometry Learning for Crystal Property Prediction Using Graph Neural Networks
图 1 · 摘自论文原文
  • 构建原子、键和配位多面体三重耦合图,联合学习多尺度结构表示
  • 在Materials Project上实现0.060 eV/atom的形成能误差和0.292 eV的带隙误差
  • 适合关注晶体结构物理可解释性的材料计算研究者

准确预测晶体性质是计算材料科学中的关键挑战。尽管图神经网络(如CGCNN、MEGNet、ALIGNN、SchNet)表现优异,但它们主要在原子层面表示晶体,并通过消息传递隐式学习局部化学环境。然而,许多材料性质由配位多面体——原子及其邻近原子构成的基本结构单元所决定。为解决这一局限,我们提出配位多面体图网络(CPGN),一种多尺度图神经网络,可联合学习原子、键和配位多面体表征。CPGN构建三个耦合图:原子图编码元素与成键信息,线图捕捉角相互作用,配位多面体图通过顶点、边、面共享关系描述基于Voronoi的局部环境。每个多面体引入物理有意义的几何描述符,并采用双向交叉注意力的交错消息传递机制,实现跨结构层级的有效信息交换。在Materials Project、JARVIS-DFT和QM9基准数据集上的广泛评估表明,CPGN优于现有最先进GNN模型。其在Materials Project上达到0.060 eV/atom的形成能均方误差和0.292 eV的带隙均方误差,同时在JARVIS-DFT上实现竞争力的多属性预测,在QM9上取得更优的HOMO预测性能。结果表明,显式建模配位多面体可提升晶体表征学习能力,实现准确且物理可解释的材料性质预测。

原文摘要 · Abstract (English)

Accurate prediction of crystal properties remains a key challenge in computational materials science. While graph neural networks (GNNs) such as CGCNN, MEGNet, ALIGNN, and SchNet have shown strong performance, they primarily represent crystals at the atomic level and implicitly learn local chemical environments through message passing. However, many material properties are governed by coordination polyhedra, the fundamental structural units formed by atoms and their neighboring atoms. To address this limitation, we propose the Coordination Polyhedron Graph Network (CPGN), a multi-scale GNN that jointly learns atomic, bond, and coordination-polyhedron representations. CPGN constructs three coupled graphs: an atom graph encoding elemental and bonding information, a line graph capturing angular interactions, and a coordination polyhedron graph describing Voronoi-derived local environments through corner-, edge-, and face-sharing relationships. Physically meaningful geometric descriptors are incorporated for each polyhedron, while an interleaved message-passing mechanism with bidirectional cross-attention enables effective information exchange across structural levels. Extensive evaluations on the Materials Project, JARVIS-DFT, and QM9 benchmark datasets demonstrate that CPGN outperforms existing state-of-the-art GNN models. It achieves a formation-energy MAE of 0.060 eV/atom and a band-gap MAE of 0.292 eV on the Materials Project, while providing competitive multi-property prediction on JARVIS-DFT and superior HOMO prediction on QM9. The results highlight that explicit modeling of coordination polyhedra improves crystal representation learning and enables accurate, physically interpretable prediction of material properties.

晶体预测图神经网络配位多面体材料科学

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