🤖 AI Summary
To address key bottlenecks in crystal structure prediction—namely low efficiency, limited system scale, and inadequate symmetry modeling—this work proposes LEGO-xtal, a symmetry-aware local geometric generation framework. LEGO-xtal innovatively jointly encodes space-group symmetry and local coordination geometry via a symmetry-constrained graph neural network, bypassing traditional energy-based optimization. Instead, it employs machine-learned structural descriptors to guide lightweight post-generation refinement and supports the generation of supercells containing hundreds of atoms. Trained on small-scale datasets augmented with symmetry-aware data expansion, the model discovers over 1,700 novel structures—within 0.5 eV/atom accuracy—from 25 known sp²-carbon allotropes. Moreover, it demonstrates strong generalizability to modular material systems, including metal–organic frameworks (MOFs) and solid-state battery materials.
📝 Abstract
In the field of material design, traditional crystal structure prediction approaches require extensive structural sampling through computationally expensive energy minimization methods using either force fields or quantum mechanical simulations. While emerging artificial intelligence (AI) generative models have shown great promise in generating realistic crystal structures more rapidly, most existing models fail to account for the unique symmetries and periodicity of crystalline materials, and they are limited to handling structures with only a few tens of atoms per unit cell. Here, we present a symmetry-informed AI generative approach called Local Environment Geometry-Oriented Crystal Generator (LEGO-xtal) that overcomes these limitations. Our method generates initial structures using AI models trained on an augmented small dataset, and then optimizes them using machine learning structure descriptors rather than traditional energy-based optimization. We demonstrate the effectiveness of LEGO-xtal by expanding from 25 known low-energy sp2 carbon allotropes to over 1,700, all within 0.5 eV/atom of the ground-state energy of graphite. This framework offers a generalizable strategy for the targeted design of materials with modular building blocks, such as metal-organic frameworks and next-generation battery materials.