arXiv:2508.05908physics.comp-phcs.LG2025-08被引 2

用物理模型与神经网络结合,精准还原电子衍射中的晶体结构。

Hybrid Physics-Machine Learning Models for Quantitative Electron Diffraction Refinements

  • 将可微分物理模拟与神经网络融合,联合优化参数
  • 在合成与真实数据上均达当前最佳精度,还原原子位置等信息
  • 模块化设计,适合扩展至其他电镜技术

定量晶体结构精修需要高保真电子显微镜模拟,但理论物理虽完备,真实实验效应难以解析建模。为此,我们提出一种新型混合可微分框架,将可微分物理仿真与神经网络结合。通过全程自动微分,实现物理参数与代表实验变量的神经网络组件的梯度联合优化,相比传统二阶方法具有更好可扩展性。应用于三维电子衍射(3D-ED)结构精修时,该方法直接从衍射数据学习复杂厚度分布,无需依赖简化几何模型。在合成与真实数据集上均达到当前最优性能,高保真恢复原子位置、热位移及厚度剖面。所提模块化架构可自然扩展以包含更多物理现象,并推广至其他电子显微技术。这确立了可微分混合建模作为定量电子显微学的新范式,克服了实验复杂性长期限制分析的瓶颈。

原文摘要 · Abstract (English)

High-fidelity electron microscopy simulations required for quantitative crystal structure refinements face a fundamental challenge: while physical interactions are well-described theoretically, real-world experimental effects are challenging to model analytically. To address this gap, we present a novel hybrid physics-machine learning framework that integrates differentiable physical simulations with neural networks. By leveraging automatic differentiation throughout the simulation pipeline, our method enables gradient-based joint optimization of physical parameters and neural network components representing experimental variables, offering superior scalability compared to traditional second-order methods. We demonstrate this framework through application to three-dimensional electron diffraction (3D-ED) structure refinement, where our approach learns complex thickness distributions directly from diffraction data rather than relying on simplified geometric models. This method achieves state-of-the-art refinement performance across synthetic and experimental datasets, recovering atomic positions, thermal displacements, and thickness profiles with high fidelity. The modular architecture proposed can naturally be extended to accommodate additional physical phenomena and extended to other electron microscopy techniques. This establishes differentiable hybrid modeling as a powerful new paradigm for quantitative electron microscopy, where experimental complexities have historically limited analysis.

电子衍射混合建模可微分计算结构精修

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